0.004 * [progress]: [Phase 1 of 3] Setting up. 0.005 * * * [progress]: [1/2] Preparing points 0.241 * * * [progress]: [2/2] Setting up program. 0.247 * [progress]: [Phase 2 of 3] Improving. 0.248 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.251 * [simplify]: Simplifying: (* (sqrt (- x 1)) (sqrt x)) 0.252 * * [simplify]: iteration 1: (6 enodes) 0.262 * * [simplify]: iteration 2: (24 enodes) 0.270 * * [simplify]: iteration 3: (28 enodes) 0.279 * * [simplify]: iteration 4: (29 enodes) 0.288 * * [simplify]: Extracting #0: cost 1 inf + 0 0.288 * * [simplify]: Extracting #1: cost 4 inf + 0 0.288 * * [simplify]: Extracting #2: cost 8 inf + 0 0.289 * * [simplify]: Extracting #3: cost 10 inf + 1 0.289 * * [simplify]: Extracting #4: cost 5 inf + 128 0.289 * * [simplify]: Extracting #5: cost 1 inf + 495 0.289 * * [simplify]: Extracting #6: cost 0 inf + 657 0.290 * [simplify]: Simplified to: (* (sqrt (+ -1 x)) (sqrt x)) 0.331 * * [progress]: iteration 1 / 4 0.331 * * * [progress]: picking best candidate 0.336 * * * * [pick]: Picked # 0.336 * * * [progress]: localizing error 0.361 * * * [progress]: generating rewritten candidates 0.362 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.398 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.414 * * * [progress]: generating series expansions 0.414 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.422 * [backup-simplify]: Simplify (* (sqrt (- x 1)) (sqrt x)) into (sqrt (* x (- x 1))) 0.422 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 0.423 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.423 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of (- x 1) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of 1 in x 0.423 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (- 1) into -1 0.425 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.426 * [backup-simplify]: Simplify (* 0 -1) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ 1 0) into 1 0.427 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.428 * [backup-simplify]: Simplify (sqrt 0) into 0 0.429 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.429 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.429 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [taylor]: Taking taylor expansion of (- x 1) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [taylor]: Taking taylor expansion of 1 in x 0.429 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (- 1) into -1 0.431 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.431 * [backup-simplify]: Simplify (* 0 -1) into 0 0.431 * [backup-simplify]: Simplify (- 0) into 0 0.432 * [backup-simplify]: Simplify (+ 1 0) into 1 0.432 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.433 * [backup-simplify]: Simplify (sqrt 0) into 0 0.434 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 0.441 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.441 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.441 * [backup-simplify]: Simplify (- 0) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 0.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.448 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.450 * [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))))))) 0.450 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 0.450 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 0.450 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.450 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.450 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [taylor]: Taking taylor expansion of 1 in x 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (+ 1 0) into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [backup-simplify]: Simplify (sqrt 1) into 1 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- 1) into -1 0.455 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.466 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.467 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.467 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.467 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.468 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [taylor]: Taking taylor expansion of 1 in x 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (+ 1 0) into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [backup-simplify]: Simplify (sqrt 1) into 1 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (- 1) into -1 0.471 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.472 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.473 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify -1/2 into -1/2 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (- 0) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 0.477 * [backup-simplify]: Simplify -1/8 into -1/8 0.478 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 0.478 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) 0.478 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in (x) around 0 0.478 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.478 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.478 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [taylor]: Taking taylor expansion of 1 in x 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (+ 1 0) into 1 0.479 * [backup-simplify]: Simplify (- 1) into -1 0.480 * [backup-simplify]: Simplify (sqrt 0) into 0 0.480 * [backup-simplify]: Simplify (- 1) into -1 0.482 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.482 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.482 * [taylor]: Taking taylor expansion of -1 in x 0.482 * [backup-simplify]: Simplify -1 into -1 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (/ -1 1) into -1 0.483 * [backup-simplify]: Simplify (sqrt 0) into 0 0.484 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.484 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.484 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.484 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (/ 1 1) into 1 0.485 * [taylor]: Taking taylor expansion of 1 in x 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (+ 1 0) into 1 0.486 * [backup-simplify]: Simplify (- 1) into -1 0.486 * [backup-simplify]: Simplify (sqrt 0) into 0 0.486 * [backup-simplify]: Simplify (- 1) into -1 0.488 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.488 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.488 * [taylor]: Taking taylor expansion of -1 in x 0.488 * [backup-simplify]: Simplify -1 into -1 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 1) into -1 0.489 * [backup-simplify]: Simplify (sqrt 0) into 0 0.490 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.490 * [backup-simplify]: Simplify (* 0 0) into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ 0 1) into 1 0.497 * [backup-simplify]: Simplify (- 1) into -1 0.500 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.503 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.503 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (- 0) into 0 0.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.517 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.518 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [backup-simplify]: Simplify (- 0) into 0 0.530 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.535 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.536 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.537 * [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))))) 0.537 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.537 * [backup-simplify]: Simplify (sqrt (- x 1)) into (sqrt (- x 1)) 0.537 * [approximate]: Taking taylor expansion of (sqrt (- x 1)) in (x) around 0 0.537 * [taylor]: Taking taylor expansion of (sqrt (- x 1)) in x 0.537 * [taylor]: Taking taylor expansion of (- x 1) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [taylor]: Taking taylor expansion of 1 in x 0.537 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (- 1) into -1 0.538 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.539 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.539 * [backup-simplify]: Simplify (- 0) into 0 0.539 * [backup-simplify]: Simplify (+ 1 0) into 1 0.541 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.541 * [taylor]: Taking taylor expansion of (sqrt (- x 1)) in x 0.541 * [taylor]: Taking taylor expansion of (- x 1) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [taylor]: Taking taylor expansion of 1 in x 0.541 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (- 1) into -1 0.542 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.543 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.543 * [backup-simplify]: Simplify (- 0) into 0 0.543 * [backup-simplify]: Simplify (+ 1 0) into 1 0.545 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.545 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.546 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 0.547 * [backup-simplify]: Simplify (- 0) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.551 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 0.554 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 2)) (+ (* (/ 1/2 (sqrt -1)) x) (sqrt -1))) into (+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 0.554 * [backup-simplify]: Simplify (sqrt (- (/ 1 x) 1)) into (sqrt (- (/ 1 x) 1)) 0.554 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in (x) around 0 0.554 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x 0.554 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (/ 1 1) into 1 0.554 * [taylor]: Taking taylor expansion of 1 in x 0.554 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (+ 1 0) into 1 0.555 * [backup-simplify]: Simplify (sqrt 0) into 0 0.557 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.557 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x 0.557 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (/ 1 1) into 1 0.557 * [taylor]: Taking taylor expansion of 1 in x 0.557 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (+ 1 0) into 1 0.558 * [backup-simplify]: Simplify (sqrt 0) into 0 0.559 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (- 1) into -1 0.561 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.564 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.564 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (- 0) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.571 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.571 * [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))))) 0.571 * [backup-simplify]: Simplify (sqrt (- (/ 1 (- x)) 1)) into (sqrt (- (+ (/ 1 x) 1))) 0.571 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in (x) around 0 0.571 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.571 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) 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 0.572 * [backup-simplify]: Simplify (/ 1 1) into 1 0.572 * [taylor]: Taking taylor expansion of 1 in x 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (+ 1 0) into 1 0.573 * [backup-simplify]: Simplify (- 1) into -1 0.573 * [backup-simplify]: Simplify (sqrt 0) into 0 0.573 * [backup-simplify]: Simplify (- 1) into -1 0.575 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.575 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.575 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify (/ 1 1) into 1 0.575 * [taylor]: Taking taylor expansion of 1 in x 0.575 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (+ 1 0) into 1 0.576 * [backup-simplify]: Simplify (- 1) into -1 0.576 * [backup-simplify]: Simplify (sqrt 0) into 0 0.577 * [backup-simplify]: Simplify (- 1) into -1 0.578 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ 0 1) into 1 0.580 * [backup-simplify]: Simplify (- 1) into -1 0.583 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.583 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (- 0) into 0 0.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.589 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.589 * [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))))) 0.589 * * * [progress]: simplifying candidates 0.590 * * * * [progress]: [ 1 / 67 ] simplifiying candidate # 0.590 * * * * [progress]: [ 2 / 67 ] simplifiying candidate # 0.590 * * * * [progress]: [ 3 / 67 ] simplifiying candidate # 0.590 * * * * [progress]: [ 4 / 67 ] simplifiying candidate # 0.590 * * * * [progress]: [ 5 / 67 ] simplifiying candidate # 0.590 * * * * [progress]: [ 6 / 67 ] simplifiying candidate # 0.590 * * * * [progress]: [ 7 / 67 ] simplifiying candidate # 0.590 * * * * [progress]: [ 8 / 67 ] simplifiying candidate # 0.590 * * * * [progress]: [ 9 / 67 ] simplifiying candidate # 0.590 * * * * [progress]: [ 10 / 67 ] simplifiying candidate # 0.590 * * * * [progress]: [ 11 / 67 ] simplifiying candidate # 0.590 * * * * [progress]: [ 12 / 67 ] simplifiying candidate # 0.590 * * * * [progress]: [ 13 / 67 ] simplifiying candidate # 0.590 * * * * [progress]: [ 14 / 67 ] simplifiying candidate # 0.591 * * * * [progress]: [ 15 / 67 ] simplifiying candidate # 0.591 * * * * [progress]: [ 16 / 67 ] simplifiying candidate # 0.591 * * * * [progress]: [ 17 / 67 ] simplifiying candidate # 0.591 * * * * [progress]: [ 18 / 67 ] simplifiying candidate # 0.591 * * * * [progress]: [ 19 / 67 ] simplifiying candidate # 0.591 * * * * [progress]: [ 20 / 67 ] simplifiying candidate # 0.591 * * * * [progress]: [ 21 / 67 ] simplifiying candidate # 0.591 * * * * [progress]: [ 22 / 67 ] simplifiying candidate # 0.591 * * * * [progress]: [ 23 / 67 ] simplifiying candidate # 0.591 * * * * [progress]: [ 24 / 67 ] simplifiying candidate # 0.591 * * * * [progress]: [ 25 / 67 ] simplifiying candidate # 0.591 * * * * [progress]: [ 26 / 67 ] simplifiying candidate # 0.591 * * * * [progress]: [ 27 / 67 ] simplifiying candidate # 0.591 * * * * [progress]: [ 28 / 67 ] simplifiying candidate # 0.592 * * * * [progress]: [ 29 / 67 ] simplifiying candidate # 0.592 * * * * [progress]: [ 30 / 67 ] simplifiying candidate # 0.592 * * * * [progress]: [ 31 / 67 ] simplifiying candidate # 0.592 * * * * [progress]: [ 32 / 67 ] simplifiying candidate # 0.592 * * * * [progress]: [ 33 / 67 ] simplifiying candidate # 0.592 * * * * [progress]: [ 34 / 67 ] simplifiying candidate # 0.592 * * * * [progress]: [ 35 / 67 ] simplifiying candidate # 0.592 * * * * [progress]: [ 36 / 67 ] simplifiying candidate # 0.592 * * * * [progress]: [ 37 / 67 ] simplifiying candidate # 0.592 * * * * [progress]: [ 38 / 67 ] simplifiying candidate #real (real->posit16 (* (sqrt (- x 1)) (sqrt x)))))> 0.592 * * * * [progress]: [ 39 / 67 ] simplifiying candidate # 0.592 * * * * [progress]: [ 40 / 67 ] simplifiying candidate # 0.592 * * * * [progress]: [ 41 / 67 ] simplifiying candidate # 0.592 * * * * [progress]: [ 42 / 67 ] simplifiying candidate # 0.592 * * * * [progress]: [ 43 / 67 ] simplifiying candidate # 0.592 * * * * [progress]: [ 44 / 67 ] simplifiying candidate # 0.592 * * * * [progress]: [ 45 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 46 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 47 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 48 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 49 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 50 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 51 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 52 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 53 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 54 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 55 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 56 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 57 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 58 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 59 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 60 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 61 / 67 ] simplifiying candidate #real (real->posit16 (sqrt (- x 1)))) (sqrt x)))> 0.593 * * * * [progress]: [ 62 / 67 ] simplifiying candidate # 0.593 * * * * [progress]: [ 63 / 67 ] simplifiying candidate # 0.594 * * * * [progress]: [ 64 / 67 ] simplifiying candidate # 0.594 * * * * [progress]: [ 65 / 67 ] simplifiying candidate # 0.594 * * * * [progress]: [ 66 / 67 ] simplifiying candidate # 0.594 * * * * [progress]: [ 67 / 67 ] simplifiying candidate # 0.595 * [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))) (expm1 (sqrt (- x 1))) (log1p (sqrt (- x 1))) (log (sqrt (- x 1))) (exp (sqrt (- x 1))) (* (cbrt (sqrt (- x 1))) (cbrt (sqrt (- x 1)))) (cbrt (sqrt (- x 1))) (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (sqrt (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (cbrt (- x 1))) (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))) (sqrt 1) (sqrt (- x 1)) (sqrt (+ (sqrt x) (sqrt 1))) (sqrt (- (sqrt x) (sqrt 1))) (sqrt (+ (sqrt x) 1)) (sqrt (- (sqrt x) 1)) (sqrt (+ (sqrt x) 1)) (sqrt (- (sqrt x) 1)) (sqrt 1) (sqrt (- x 1)) (sqrt (- (pow x 3) (pow 1 3))) (sqrt (+ (* x x) (+ (* 1 1) (* x 1)))) (sqrt (- (* x x) (* 1 1))) (sqrt (+ x 1)) (/ 1 2) (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))) (real->posit16 (sqrt (- x 1))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.597 * * [simplify]: iteration 1: (113 enodes) 0.664 * * [simplify]: iteration 2: (443 enodes) 0.796 * * [simplify]: iteration 3: (733 enodes) 1.029 * * [simplify]: iteration 4: (1360 enodes) 1.718 * * [simplify]: Extracting #0: cost 45 inf + 0 1.718 * * [simplify]: Extracting #1: cost 222 inf + 2 1.721 * * [simplify]: Extracting #2: cost 498 inf + 1948 1.734 * * [simplify]: Extracting #3: cost 348 inf + 28263 1.754 * * [simplify]: Extracting #4: cost 68 inf + 80365 1.775 * * [simplify]: Extracting #5: cost 3 inf + 100935 1.813 * * [simplify]: Extracting #6: cost 0 inf + 102322 1.836 * [simplify]: Simplified to: (expm1 (* (sqrt x) (sqrt (- x 1)))) (log1p (* (sqrt x) (sqrt (- x 1)))) (- (* x x) x) (* (sqrt x) (sqrt (- x 1))) (- (* x x) x) (log (* (sqrt x) (sqrt (- x 1)))) (log (* (sqrt x) (sqrt (- x 1)))) (exp (* (sqrt x) (sqrt (- x 1)))) (* (* (- x 1) (sqrt (- x 1))) (* (sqrt x) x)) (* (cbrt (* (sqrt x) (sqrt (- x 1)))) (cbrt (* (sqrt x) (sqrt (- x 1))))) (cbrt (* (sqrt x) (sqrt (- x 1)))) (* (* (- x 1) (sqrt (- x 1))) (* (sqrt x) x)) (- (* x x) x) (sqrt (* (sqrt x) (sqrt (- x 1)))) (sqrt (* (sqrt x) (sqrt (- x 1)))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (- x 1)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (fabs (cbrt x)) (sqrt (- x 1))) (* (sqrt (- x 1)) (sqrt (sqrt x))) (sqrt (- x 1)) (* (sqrt (- x 1)) (sqrt (sqrt x))) (sqrt (- x 1)) (* (cbrt (sqrt (- x 1))) (sqrt x)) (* (sqrt x) (sqrt (cbrt (- x 1)))) (* (sqrt x) (sqrt (sqrt (- x 1)))) (* (sqrt x) (sqrt (- x 1))) (* (sqrt x) (sqrt (- (sqrt x) 1))) (* (sqrt x) (sqrt (- (sqrt x) 1))) (* (sqrt x) (sqrt (- (sqrt x) 1))) (* (sqrt x) (sqrt (- x 1))) (* (sqrt x) (sqrt (sqrt (- x 1)))) (* (sqrt x) (sqrt (- x 1))) (* (sqrt (fma x (* x x) -1)) (sqrt x)) (* (sqrt x) (sqrt (fma x x -1))) (real->posit16 (* (sqrt x) (sqrt (- x 1)))) (expm1 (sqrt (- x 1))) (log1p (sqrt (- x 1))) (log (sqrt (- x 1))) (exp (sqrt (- x 1))) (* (cbrt (sqrt (- x 1))) (cbrt (sqrt (- x 1)))) (cbrt (sqrt (- x 1))) (* (- x 1) (sqrt (- x 1))) (fabs (cbrt (- x 1))) (sqrt (cbrt (- x 1))) (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))) 1 (sqrt (- x 1)) (sqrt (+ 1 (sqrt x))) (sqrt (- (sqrt x) 1)) (sqrt (+ 1 (sqrt x))) (sqrt (- (sqrt x) 1)) (sqrt (+ 1 (sqrt x))) (sqrt (- (sqrt x) 1)) 1 (sqrt (- x 1)) (sqrt (fma x (* x x) -1)) (sqrt (fma x x (+ 1 x))) (sqrt (fma x x -1)) (sqrt (+ 1 x)) 1/2 (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))) (real->posit16 (sqrt (- x 1))) (* (- (* x (- (* x x) x)) x) +nan.0) (- x (+ 1/2 (/ 1/8 x))) (fma (/ +nan.0 x) (/ -1 x) (- (/ +nan.0 x) +nan.0)) (fma (/ 1/8 (sqrt -1)) (* x x) (fma (/ x (sqrt -1)) 1/2 (sqrt -1))) (fma (/ +nan.0 x) (/ -1 x) (- (/ +nan.0 x) +nan.0)) (fma (/ +nan.0 x) (/ -1 x) (- (/ +nan.0 x) +nan.0)) 1.838 * * * [progress]: adding candidates to table 2.411 * * [progress]: iteration 2 / 4 2.411 * * * [progress]: picking best candidate 2.412 * * * * [pick]: Picked # 2.413 * * * [progress]: localizing error 2.421 * * * [progress]: generating rewritten candidates 2.421 * * * [progress]: generating series expansions 2.421 * * * [progress]: simplifying candidates 2.421 * [simplify]: Simplifying: 2.421 * * [simplify]: iteration 1: (0 enodes) 2.421 * * [simplify]: Extracting #0: cost 0 inf + 0 2.421 * [simplify]: Simplified to: 2.421 * * * [progress]: adding candidates to table 2.422 * [progress]: [Phase 3 of 3] Extracting. 2.422 * * [regime]: Finding splitpoints for: (# #) 2.423 * * * [regime-changes]: Trying 2 branch expressions: (x (* (sqrt (- x 1)) (sqrt x))) 2.423 * * * * [regimes]: Trying to branch on x from (# #) 2.446 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1)) (sqrt x)) from (# #) 2.497 * * * [regime]: Found split indices: #