0.004 * [progress]: [Phase 1 of 3] Setting up. 0.005 * * * [progress]: [1/2] Preparing points 0.249 * * * [progress]: [2/2] Setting up program. 0.253 * [progress]: [Phase 2 of 3] Improving. 0.253 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.256 * [simplify]: Simplifying (* (sqrt (- x 1)) (sqrt x)) 0.257 * * [simplify]: iteration 1: (6 enodes) 0.268 * * [simplify]: iteration 2: (24 enodes) 0.276 * * [simplify]: iteration 3: (28 enodes) 0.285 * * [simplify]: iteration 4: (29 enodes) 0.316 * * [simplify]: Extracting #0: cost 1 inf + 0 0.316 * * [simplify]: Extracting #1: cost 4 inf + 0 0.316 * * [simplify]: Extracting #2: cost 8 inf + 0 0.316 * * [simplify]: Extracting #3: cost 10 inf + 1 0.316 * * [simplify]: Extracting #4: cost 5 inf + 128 0.317 * * [simplify]: Extracting #5: cost 1 inf + 495 0.317 * * [simplify]: Extracting #6: cost 0 inf + 657 0.317 * [simplify]: Simplified to (* (sqrt (+ -1 x)) (sqrt x)) 0.324 * * [progress]: iteration 1 / 4 0.324 * * * [progress]: picking best candidate 0.327 * * * * [pick]: Picked # 0.328 * * * [progress]: localizing error 0.339 * * * [progress]: generating rewritten candidates 0.340 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.383 * * * [progress]: generating series expansions 0.383 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.390 * [backup-simplify]: Simplify (* (sqrt (- x 1)) (sqrt x)) into (sqrt (* x (- x 1))) 0.390 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 0.391 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.392 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [taylor]: Taking taylor expansion of (- x 1) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [taylor]: Taking taylor expansion of 1 in x 0.392 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (- 1) into -1 0.394 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.394 * [backup-simplify]: Simplify (* 0 -1) into 0 0.395 * [backup-simplify]: Simplify (- 0) into 0 0.395 * [backup-simplify]: Simplify (+ 1 0) into 1 0.396 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.396 * [backup-simplify]: Simplify (sqrt 0) into 0 0.398 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.398 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.398 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [taylor]: Taking taylor expansion of (- x 1) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.399 * [taylor]: Taking taylor expansion of 1 in x 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (- 1) into -1 0.399 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.400 * [backup-simplify]: Simplify (* 0 -1) into 0 0.400 * [backup-simplify]: Simplify (- 0) into 0 0.401 * [backup-simplify]: Simplify (+ 1 0) into 1 0.402 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.402 * [backup-simplify]: Simplify (sqrt 0) into 0 0.403 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.405 * [backup-simplify]: Simplify (- 0) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 0.410 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.410 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.411 * [backup-simplify]: Simplify (- 0) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 0.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.418 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.419 * [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))))))) 0.419 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 0.419 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 0.419 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.419 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.419 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [taylor]: Taking taylor expansion of 1 in x 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (+ 1 0) into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [backup-simplify]: Simplify (sqrt 1) into 1 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (- 1) into -1 0.424 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.425 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.426 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.426 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.426 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [taylor]: Taking taylor expansion of 1 in x 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (+ 1 0) into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [backup-simplify]: Simplify (sqrt 1) into 1 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (- 1) into -1 0.430 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.442 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.443 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify -1/2 into -1/2 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 0.448 * [backup-simplify]: Simplify -1/8 into -1/8 0.448 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 0.448 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) 0.448 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in (x) around 0 0.448 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.448 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.448 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [taylor]: Taking taylor expansion of 1 in x 0.449 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (+ 1 0) into 1 0.450 * [backup-simplify]: Simplify (- 1) into -1 0.450 * [backup-simplify]: Simplify (sqrt 0) into 0 0.451 * [backup-simplify]: Simplify (- 1) into -1 0.452 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.452 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.452 * [taylor]: Taking taylor expansion of -1 in x 0.452 * [backup-simplify]: Simplify -1 into -1 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (/ -1 1) into -1 0.453 * [backup-simplify]: Simplify (sqrt 0) into 0 0.455 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.455 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.455 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.455 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (/ 1 1) into 1 0.455 * [taylor]: Taking taylor expansion of 1 in x 0.455 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (+ 1 0) into 1 0.456 * [backup-simplify]: Simplify (- 1) into -1 0.456 * [backup-simplify]: Simplify (sqrt 0) into 0 0.457 * [backup-simplify]: Simplify (- 1) into -1 0.458 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.458 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.458 * [taylor]: Taking taylor expansion of -1 in x 0.458 * [backup-simplify]: Simplify -1 into -1 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (/ -1 1) into -1 0.459 * [backup-simplify]: Simplify (sqrt 0) into 0 0.460 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.461 * [backup-simplify]: Simplify (* 0 0) into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ 0 1) into 1 0.466 * [backup-simplify]: Simplify (- 1) into -1 0.469 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.472 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.472 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [backup-simplify]: Simplify (- 0) into 0 0.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.487 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.487 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (- 0) into 0 0.501 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.506 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.506 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.508 * [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))))) 0.508 * * * [progress]: simplifying candidates 0.508 * * * * [progress]: [ 1 / 42 ] simplifiying candidate # 0.508 * * * * [progress]: [ 2 / 42 ] simplifiying candidate # 0.508 * * * * [progress]: [ 3 / 42 ] simplifiying candidate # 0.508 * * * * [progress]: [ 4 / 42 ] simplifiying candidate # 0.508 * * * * [progress]: [ 5 / 42 ] simplifiying candidate # 0.508 * * * * [progress]: [ 6 / 42 ] simplifiying candidate # 0.508 * * * * [progress]: [ 7 / 42 ] simplifiying candidate # 0.508 * * * * [progress]: [ 8 / 42 ] simplifiying candidate # 0.508 * * * * [progress]: [ 9 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 10 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 11 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 12 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 13 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 14 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 15 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 16 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 17 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 18 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 19 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 20 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 21 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 22 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 23 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 24 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 25 / 42 ] simplifiying candidate # 0.509 * * * * [progress]: [ 26 / 42 ] simplifiying candidate # 0.510 * * * * [progress]: [ 27 / 42 ] simplifiying candidate # 0.510 * * * * [progress]: [ 28 / 42 ] simplifiying candidate # 0.510 * * * * [progress]: [ 29 / 42 ] simplifiying candidate # 0.510 * * * * [progress]: [ 30 / 42 ] simplifiying candidate # 0.510 * * * * [progress]: [ 31 / 42 ] simplifiying candidate # 0.510 * * * * [progress]: [ 32 / 42 ] simplifiying candidate # 0.510 * * * * [progress]: [ 33 / 42 ] simplifiying candidate # 0.510 * * * * [progress]: [ 34 / 42 ] simplifiying candidate # 0.510 * * * * [progress]: [ 35 / 42 ] simplifiying candidate # 0.510 * * * * [progress]: [ 36 / 42 ] simplifiying candidate # 0.510 * * * * [progress]: [ 37 / 42 ] simplifiying candidate # 0.510 * * * * [progress]: [ 38 / 42 ] simplifiying candidate #real (real->posit16 (* (sqrt (- x 1)) (sqrt x)))))> 0.510 * * * * [progress]: [ 39 / 42 ] simplifiying candidate # 0.510 * * * * [progress]: [ 40 / 42 ] simplifiying candidate # 0.510 * * * * [progress]: [ 41 / 42 ] simplifiying candidate # 0.510 * * * * [progress]: [ 42 / 42 ] simplifiying candidate # 0.511 * [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))))) 0.513 * * [simplify]: iteration 1: (87 enodes) 0.556 * * [simplify]: iteration 2: (351 enodes) 0.664 * * [simplify]: iteration 3: (587 enodes) 0.810 * * [simplify]: iteration 4: (1126 enodes) 1.438 * * [simplify]: Extracting #0: cost 25 inf + 0 1.439 * * [simplify]: Extracting #1: cost 180 inf + 0 1.445 * * [simplify]: Extracting #2: cost 403 inf + 1488 1.456 * * [simplify]: Extracting #3: cost 301 inf + 22530 1.486 * * [simplify]: Extracting #4: cost 80 inf + 64192 1.508 * * [simplify]: Extracting #5: cost 8 inf + 86028 1.531 * * [simplify]: Extracting #6: cost 0 inf + 89084 1.570 * [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)) 1.573 * * * [progress]: adding candidates to table 1.896 * * [progress]: iteration 2 / 4 1.896 * * * [progress]: picking best candidate 1.903 * * * * [pick]: Picked # 1.903 * * * [progress]: localizing error 1.921 * * * [progress]: generating rewritten candidates 1.921 * * * [progress]: generating series expansions 1.921 * * * [progress]: simplifying candidates 1.921 * [simplify]: Simplifying 1.921 * * [simplify]: iteration 1: (0 enodes) 1.921 * * [simplify]: Extracting #0: cost 0 inf + 0 1.921 * [simplify]: Simplified to 1.921 * * * [progress]: adding candidates to table 1.922 * * [progress]: iteration 3 / 4 1.922 * * * [progress]: picking best candidate 1.930 * * * * [pick]: Picked # 1.930 * * * [progress]: localizing error 1.946 * * * [progress]: generating rewritten candidates 1.946 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.969 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.987 * * * [progress]: generating series expansions 1.987 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.987 * [backup-simplify]: Simplify (sqrt (- (* x x) x)) into (sqrt (- (pow x 2) x)) 1.987 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) x)) in (x) around 0 1.987 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) x)) in x 1.987 * [taylor]: Taking taylor expansion of (- (pow x 2) x) in x 1.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [taylor]: Taking taylor expansion of x in x 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.988 * [backup-simplify]: Simplify (- 0) into 0 1.989 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify (- 1) into -1 1.990 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.990 * [backup-simplify]: Simplify (sqrt 0) into 0 1.991 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.991 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) x)) in x 1.992 * [taylor]: Taking taylor expansion of (- (pow x 2) x) in x 1.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.992 * [taylor]: Taking taylor expansion of x in x 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [taylor]: Taking taylor expansion of x in x 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (- 0) into 0 1.992 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (- 1) into -1 1.993 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.993 * [backup-simplify]: Simplify (sqrt 0) into 0 1.994 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.994 * [backup-simplify]: Simplify (* 1 1) into 1 1.995 * [backup-simplify]: Simplify (- 0) into 0 1.995 * [backup-simplify]: Simplify (+ 1 0) into 1 1.997 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.997 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.998 * [backup-simplify]: Simplify (- 0) into 0 1.998 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.000 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.000 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 2.001 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) (/ 1 x))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) 2.001 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) in (x) around 0 2.001 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) in x 2.001 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 2.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.001 * [taylor]: Taking taylor expansion of x in x 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (* 1 1) into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.001 * [taylor]: Taking taylor expansion of x in x 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (/ 1 1) into 1 2.002 * [backup-simplify]: Simplify (+ 1 0) into 1 2.002 * [backup-simplify]: Simplify (sqrt 1) into 1 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (- 1) into -1 2.004 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.004 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 2.004 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) in x 2.004 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 2.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.004 * [taylor]: Taking taylor expansion of x in x 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (* 1 1) into 1 2.005 * [backup-simplify]: Simplify (/ 1 1) into 1 2.005 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (/ 1 1) into 1 2.005 * [backup-simplify]: Simplify (+ 1 0) into 1 2.006 * [backup-simplify]: Simplify (sqrt 1) into 1 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.007 * [backup-simplify]: Simplify (- 1) into -1 2.007 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.008 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify -1/2 into -1/2 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify (- 0) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.010 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 2.010 * [backup-simplify]: Simplify -1/8 into -1/8 2.011 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 2.011 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 x))) 2.011 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 x))) in (x) around 0 2.011 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 x))) in x 2.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.011 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.011 * [taylor]: Taking taylor expansion of x in x 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [backup-simplify]: Simplify (* 1 1) into 1 2.011 * [backup-simplify]: Simplify (/ 1 1) into 1 2.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.011 * [taylor]: Taking taylor expansion of x in x 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (/ 1 1) into 1 2.012 * [backup-simplify]: Simplify (+ 1 0) into 1 2.012 * [backup-simplify]: Simplify (sqrt 1) into 1 2.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (+ 0 1) into 1 2.014 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 2.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 x))) in x 2.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 2.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.014 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.014 * [taylor]: Taking taylor expansion of x in x 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (* 1 1) into 1 2.015 * [backup-simplify]: Simplify (/ 1 1) into 1 2.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.015 * [taylor]: Taking taylor expansion of x in x 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (/ 1 1) into 1 2.015 * [backup-simplify]: Simplify (+ 1 0) into 1 2.015 * [backup-simplify]: Simplify (sqrt 1) into 1 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (+ 0 1) into 1 2.017 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 2.017 * [backup-simplify]: Simplify 1 into 1 2.017 * [backup-simplify]: Simplify 1/2 into 1/2 2.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 2.020 * [backup-simplify]: Simplify -1/8 into -1/8 2.020 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 (- x))) (+ 1/2 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 x)) 1/2) x) 2.020 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.020 * [backup-simplify]: Simplify (- (* x x) x) into (- (pow x 2) x) 2.020 * [approximate]: Taking taylor expansion of (- (pow x 2) x) in (x) around 0 2.020 * [taylor]: Taking taylor expansion of (- (pow x 2) x) in x 2.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.020 * [taylor]: Taking taylor expansion of x in x 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [taylor]: Taking taylor expansion of x in x 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [taylor]: Taking taylor expansion of (- (pow x 2) x) in x 2.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify (- 0) into 0 2.022 * [backup-simplify]: Simplify (+ 0 0) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (- 1) into -1 2.022 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.022 * [backup-simplify]: Simplify -1 into -1 2.023 * [backup-simplify]: Simplify (* 1 1) into 1 2.023 * [backup-simplify]: Simplify (- 0) into 0 2.024 * [backup-simplify]: Simplify (+ 1 0) into 1 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.025 * [backup-simplify]: Simplify (- 0) into 0 2.025 * [backup-simplify]: Simplify (+ 0 0) into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.026 * [backup-simplify]: Simplify (- 0) into 0 2.027 * [backup-simplify]: Simplify (+ 0 0) into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (- 0) into 0 2.029 * [backup-simplify]: Simplify (+ 0 0) into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.030 * [backup-simplify]: Simplify (- 0) into 0 2.031 * [backup-simplify]: Simplify (+ 0 0) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.033 * [backup-simplify]: Simplify (- 0) into 0 2.033 * [backup-simplify]: Simplify (+ 0 0) into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.035 * [backup-simplify]: Simplify (- 0) into 0 2.035 * [backup-simplify]: Simplify (+ 0 0) into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* -1 x)) into (- (pow x 2) x) 2.036 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (/ 1 x)) into (- (/ 1 (pow x 2)) (/ 1 x)) 2.036 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 2.036 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (* 1 1) into 1 2.037 * [backup-simplify]: Simplify (/ 1 1) into 1 2.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.037 * [taylor]: Taking taylor expansion of x in x 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (/ 1 1) into 1 2.037 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 2.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.038 * [taylor]: Taking taylor expansion of x in x 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [backup-simplify]: Simplify (* 1 1) into 1 2.038 * [backup-simplify]: Simplify (/ 1 1) into 1 2.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.038 * [taylor]: Taking taylor expansion of x in x 2.038 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (/ 1 1) into 1 2.039 * [backup-simplify]: Simplify (+ 1 0) into 1 2.039 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (- 1) into -1 2.042 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.042 * [backup-simplify]: Simplify -1 into -1 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (- 0) into 0 2.045 * [backup-simplify]: Simplify (+ 0 0) into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (- 0) into 0 2.049 * [backup-simplify]: Simplify (+ 0 0) into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (- 0) into 0 2.059 * [backup-simplify]: Simplify (+ 0 0) into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (- 0) into 0 2.063 * [backup-simplify]: Simplify (+ 0 0) into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (- 0) into 0 2.069 * [backup-simplify]: Simplify (+ 0 0) into 0 2.069 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.072 * [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 2.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.073 * [backup-simplify]: Simplify (- 0) into 0 2.073 * [backup-simplify]: Simplify (+ 0 0) into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (- (pow x 2) x) 2.074 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x))) into (+ (/ 1 (pow x 2)) (/ 1 x)) 2.074 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 2.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 2.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.074 * [taylor]: Taking taylor expansion of x in x 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (* 1 1) into 1 2.075 * [backup-simplify]: Simplify (/ 1 1) into 1 2.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (/ 1 1) into 1 2.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 2.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.076 * [taylor]: Taking taylor expansion of x in x 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (* 1 1) into 1 2.077 * [backup-simplify]: Simplify (/ 1 1) into 1 2.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.077 * [taylor]: Taking taylor expansion of x in x 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (/ 1 1) into 1 2.078 * [backup-simplify]: Simplify (+ 1 0) into 1 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.080 * [backup-simplify]: Simplify (+ 0 1) into 1 2.080 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (+ 0 0) into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.087 * [backup-simplify]: Simplify (+ 0 0) into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (+ 0 0) into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (+ 0 0) into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.102 * [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 2.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (+ 0 0) into 0 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (- (pow x 2) x) 2.104 * * * [progress]: simplifying candidates 2.104 * * * * [progress]: [ 1 / 47 ] simplifiying candidate # 2.106 * * * * [progress]: [ 2 / 47 ] simplifiying candidate # 2.106 * * * * [progress]: [ 3 / 47 ] simplifiying candidate # 2.106 * * * * [progress]: [ 4 / 47 ] simplifiying candidate # 2.106 * * * * [progress]: [ 5 / 47 ] simplifiying candidate # 2.106 * * * * [progress]: [ 6 / 47 ] simplifiying candidate # 2.106 * * * * [progress]: [ 7 / 47 ] simplifiying candidate # 2.106 * * * * [progress]: [ 8 / 47 ] simplifiying candidate # 2.106 * * * * [progress]: [ 9 / 47 ] simplifiying candidate # 2.106 * * * * [progress]: [ 10 / 47 ] simplifiying candidate # 2.106 * * * * [progress]: [ 11 / 47 ] simplifiying candidate # 2.106 * * * * [progress]: [ 12 / 47 ] simplifiying candidate # 2.106 * * * * [progress]: [ 13 / 47 ] simplifiying candidate # 2.107 * * * * [progress]: [ 14 / 47 ] simplifiying candidate # 2.107 * * * * [progress]: [ 15 / 47 ] simplifiying candidate # 2.107 * * * * [progress]: [ 16 / 47 ] simplifiying candidate # 2.107 * * * * [progress]: [ 17 / 47 ] simplifiying candidate # 2.107 * * * * [progress]: [ 18 / 47 ] simplifiying candidate # 2.107 * * * * [progress]: [ 19 / 47 ] simplifiying candidate # 2.107 * * * * [progress]: [ 20 / 47 ] simplifiying candidate #real (real->posit16 (sqrt (- (* x x) x)))))> 2.107 * * * * [progress]: [ 21 / 47 ] simplifiying candidate # 2.107 * * * * [progress]: [ 22 / 47 ] simplifiying candidate # 2.107 * * * * [progress]: [ 23 / 47 ] simplifiying candidate # 2.107 * * * * [progress]: [ 24 / 47 ] simplifiying candidate # 2.107 * * * * [progress]: [ 25 / 47 ] simplifiying candidate # 2.107 * * * * [progress]: [ 26 / 47 ] simplifiying candidate # 2.107 * * * * [progress]: [ 27 / 47 ] simplifiying candidate # 2.108 * * * * [progress]: [ 28 / 47 ] simplifiying candidate # 2.108 * * * * [progress]: [ 29 / 47 ] simplifiying candidate # 2.108 * * * * [progress]: [ 30 / 47 ] simplifiying candidate # 2.108 * * * * [progress]: [ 31 / 47 ] simplifiying candidate # 2.108 * * * * [progress]: [ 32 / 47 ] simplifiying candidate # 2.108 * * * * [progress]: [ 33 / 47 ] simplifiying candidate # 2.108 * * * * [progress]: [ 34 / 47 ] simplifiying candidate # 2.108 * * * * [progress]: [ 35 / 47 ] simplifiying candidate # 2.108 * * * * [progress]: [ 36 / 47 ] simplifiying candidate # 2.108 * * * * [progress]: [ 37 / 47 ] simplifiying candidate # 2.108 * * * * [progress]: [ 38 / 47 ] simplifiying candidate # 2.108 * * * * [progress]: [ 39 / 47 ] simplifiying candidate # 2.108 * * * * [progress]: [ 40 / 47 ] simplifiying candidate # 2.108 * * * * [progress]: [ 41 / 47 ] simplifiying candidate #real (real->posit16 (- (* x x) x)))))> 2.108 * * * * [progress]: [ 42 / 47 ] simplifiying candidate # 2.109 * * * * [progress]: [ 43 / 47 ] simplifiying candidate # 2.109 * * * * [progress]: [ 44 / 47 ] simplifiying candidate # 2.109 * * * * [progress]: [ 45 / 47 ] simplifiying candidate # 2.109 * * * * [progress]: [ 46 / 47 ] simplifiying candidate # 2.109 * * * * [progress]: [ 47 / 47 ] simplifiying candidate # 2.110 * [simplify]: Simplifying (expm1 (sqrt (- (* x x) x))), (log1p (sqrt (- (* x x) x))), (log (sqrt (- (* x x) x))), (exp (sqrt (- (* x x) x))), (* (cbrt (sqrt (- (* x x) x))) (cbrt (sqrt (- (* x x) x)))), (cbrt (sqrt (- (* x x) x))), (* (* (sqrt (- (* x x) x)) (sqrt (- (* x x) x))) (sqrt (- (* x x) x))), (sqrt (* (cbrt (- (* x x) x)) (cbrt (- (* x x) x)))), (sqrt (cbrt (- (* x x) x))), (sqrt (sqrt (- (* x x) x))), (sqrt (sqrt (- (* x x) x))), (sqrt 1), (sqrt (- (* x x) x)), (sqrt (+ x (sqrt x))), (sqrt (- x (sqrt x))), (sqrt x), (sqrt (- x 1)), (sqrt (- (pow (* x x) 3) (pow x 3))), (sqrt (+ (* (* x x) (* x x)) (+ (* x x) (* (* x x) x)))), (sqrt (- (* (* x x) (* x x)) (* x x))), (sqrt (+ (* x x) x)), (/ 1 2), (sqrt (sqrt (- (* x x) x))), (sqrt (sqrt (- (* x x) x))), (real->posit16 (sqrt (- (* x x) x))), (fma x x (- (* (cbrt x) (* (cbrt x) (cbrt x))))), (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))), (fma x x (- (* (sqrt x) (sqrt x)))), (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))), (fma x x (- (* x 1))), (fma (- x) 1 (* x 1)), (expm1 (- (* x x) x)), (log1p (- (* x x) x)), (- x), (/ (exp (* x x)) (exp x)), (log (- (* x x) x)), (exp (- (* x x) x)), (* (cbrt (- (* x x) x)) (cbrt (- (* x x) x))), (cbrt (- (* x x) x)), (* (* (- (* x x) x) (- (* x x) x)) (- (* x x) x)), (sqrt (- (* x x) x)), (sqrt (- (* x x) x)), (- (pow (* x x) 3) (pow x 3)), (+ (* (* x x) (* x x)) (+ (* x x) (* (* x x) x))), (- x), (- (* (* x x) (* x x)) (* x x)), (+ (* x x) x), (+ x (sqrt x)), (- x (sqrt x)), (- x 1), (- x), (real->posit16 (- (* x x) x)), (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))), (- x (+ (* 1/8 (/ 1 x)) 1/2)), (- (+ (* 1/8 (/ 1 x)) 1/2) x), (- (pow x 2) x), (- (pow x 2) x), (- (pow x 2) x) 2.111 * * [simplify]: iteration 1: (88 enodes) 2.158 * * [simplify]: iteration 2: (335 enodes) 2.306 * * [simplify]: iteration 3: (554 enodes) 2.490 * * [simplify]: iteration 4: (1194 enodes) 3.351 * * [simplify]: Extracting #0: cost 43 inf + 0 3.352 * * [simplify]: Extracting #1: cost 238 inf + 2 3.359 * * [simplify]: Extracting #2: cost 702 inf + 3797 3.384 * * [simplify]: Extracting #3: cost 359 inf + 74330 3.417 * * [simplify]: Extracting #4: cost 50 inf + 158598 3.465 * * [simplify]: Extracting #5: cost 2 inf + 177464 3.514 * * [simplify]: Extracting #6: cost 0 inf + 177888 3.565 * [simplify]: Simplified to (expm1 (sqrt (- (* x x) x))), (log1p (sqrt (- (* x x) x))), (log (sqrt (- (* x x) x))), (exp (sqrt (- (* x x) x))), (* (cbrt (sqrt (- (* x x) x))) (cbrt (sqrt (- (* x x) x)))), (cbrt (sqrt (- (* x x) x))), (* (- (* x x) x) (sqrt (- (* x x) x))), (fabs (cbrt (- (* x x) x))), (sqrt (cbrt (- (* x x) x))), (sqrt (sqrt (- (* x x) x))), (sqrt (sqrt (- (* x x) x))), 1, (sqrt (- (* x x) x)), (sqrt (+ x (sqrt x))), (sqrt (- x (sqrt x))), (sqrt x), (sqrt (+ x -1)), (sqrt (- (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))), (sqrt (fma (* x x) (fma x x x) (* x x))), (sqrt (- (* (* x x) (* x x)) (* x x))), (sqrt (fma x x x)), 1/2, (sqrt (sqrt (- (* x x) x))), (sqrt (sqrt (- (* x x) x))), (real->posit16 (sqrt (- (* x x) x))), (- (* x x) x), (- x x), (- (* x x) x), (- x x), (- (* x x) x), (- x x), (expm1 (- (* x x) x)), (log1p (- (* x x) x)), (- x), (exp (- (* x x) x)), (log (- (* x x) x)), (exp (- (* x x) x)), (* (cbrt (- (* x x) x)) (cbrt (- (* x x) x))), (cbrt (- (* x x) x)), (* (- (* x x) x) (* (- (* x x) x) (- (* x x) x))), (sqrt (- (* x x) x)), (sqrt (- (* x x) x)), (- (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)), (fma (* x x) (fma x x x) (* x x)), (- x), (- (* (* x x) (* x x)) (* x x)), (fma x x x), (+ x (sqrt x)), (- x (sqrt x)), (+ x -1), (- x), (real->posit16 (- (* x x) x)), (* +nan.0 (- (* x (- (* x x) x)) x)), (+ (/ -1/8 x) (- x 1/2)), (- (/ 1/8 x) (- x 1/2)), (- (* x x) x), (- (* x x) x), (- (* x x) x) 3.566 * * * [progress]: adding candidates to table 3.868 * [progress]: [Phase 3 of 3] Extracting. 3.868 * * [regime]: Finding splitpoints for: (# #) 3.869 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.869 * * * * [regimes]: Trying to branch on x from (# #) 3.895 * * * [regime]: Found split indices: #