1.198 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.190 * * * [progress]: [2/2] Setting up program. 0.195 * [progress]: [Phase 2 of 3] Improving. 0.199 * [simplify]: Simplifying: (* (sqrt (- x 1.0)) (sqrt x)) 0.200 * * [simplify]: iteration 0: 6 enodes 0.207 * * [simplify]: iteration 1: 9 enodes 0.209 * * [simplify]: iteration 2: 10 enodes 0.212 * * [simplify]: iteration complete: 10 enodes 0.212 * * [simplify]: Extracting #0: cost 1 inf + 0 0.213 * * [simplify]: Extracting #1: cost 3 inf + 0 0.213 * * [simplify]: Extracting #2: cost 5 inf + 0 0.213 * * [simplify]: Extracting #3: cost 6 inf + 1 0.213 * * [simplify]: Extracting #4: cost 0 inf + 20 0.213 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.215 * * [progress]: iteration 1 / 4 0.215 * * * [progress]: picking best candidate 0.220 * * * * [pick]: Picked # 0.220 * * * [progress]: localizing error 0.233 * * * [progress]: generating rewritten candidates 0.233 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.273 * * * [progress]: generating series expansions 0.273 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.280 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* x (- x 1.0))) 0.280 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 0.282 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.282 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.282 * [backup-simplify]: Simplify 1.0 into 1.0 0.284 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.285 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.286 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 1 0) into 1 0.289 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.290 * [backup-simplify]: Simplify (sqrt 0) into 0 0.324 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.324 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.324 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [backup-simplify]: Simplify 1.0 into 1.0 0.326 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.328 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.329 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 1 0) into 1 0.364 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.364 * [backup-simplify]: Simplify (sqrt 0) into 0 0.367 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.369 * [backup-simplify]: Simplify (- 0) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 0.408 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.408 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.409 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 0.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.421 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.423 * [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))))))) 0.424 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.424 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.424 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.424 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [taylor]: Taking taylor expansion of 1.0 in x 0.425 * [backup-simplify]: Simplify 1.0 into 1.0 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 0.427 * [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 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.432 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.437 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.439 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.439 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.439 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.439 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [backup-simplify]: Simplify 1.0 into 1.0 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (+ 1 0) into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [backup-simplify]: Simplify (sqrt 1) into 1 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.475 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.481 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.484 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.484 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify -0.5 into -0.5 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.494 * [backup-simplify]: Simplify -0.125 into -0.125 0.494 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 0.494 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) 0.494 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in (x) around 0 0.494 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.494 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.494 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (/ 1 1) into 1 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [backup-simplify]: Simplify 1.0 into 1.0 0.496 * [backup-simplify]: Simplify (+ 1 0) into 1 0.496 * [backup-simplify]: Simplify (- 1) into -1 0.496 * [backup-simplify]: Simplify (sqrt 0) into 0 0.497 * [backup-simplify]: Simplify (- 1) into -1 0.498 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.498 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.498 * [taylor]: Taking taylor expansion of -1 in x 0.498 * [backup-simplify]: Simplify -1 into -1 0.498 * [taylor]: Taking taylor expansion of x in x 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (/ -1 1) into -1 0.499 * [backup-simplify]: Simplify (sqrt 0) into 0 0.500 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.500 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.501 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.501 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [backup-simplify]: Simplify 1.0 into 1.0 0.501 * [backup-simplify]: Simplify (+ 1 0) into 1 0.502 * [backup-simplify]: Simplify (- 1) into -1 0.502 * [backup-simplify]: Simplify (sqrt 0) into 0 0.502 * [backup-simplify]: Simplify (- 1) into -1 0.504 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.504 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [backup-simplify]: Simplify -1 into -1 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (/ -1 1) into -1 0.504 * [backup-simplify]: Simplify (sqrt 0) into 0 0.505 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.506 * [backup-simplify]: Simplify (* 0 0) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.512 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.516 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.519 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.520 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [backup-simplify]: Simplify (- 0) into 0 0.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.538 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.538 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.548 * [backup-simplify]: Simplify (- 0) into 0 0.554 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.561 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.561 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.563 * [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))))) 0.564 * * * [progress]: simplifying candidates 0.565 * [simplify]: Simplifying: (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (+ (log (sqrt (- x 1.0))) (log (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1.0)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (sqrt 1)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) 1) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) (- x (+ (* 0.125 (/ 1 x)) 0.5)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.567 * * [simplify]: iteration 0: 83 enodes 0.603 * * [simplify]: iteration 1: 190 enodes 0.713 * * [simplify]: iteration 2: 687 enodes 1.609 * * [simplify]: iteration 3: 3837 enodes 3.417 * * [simplify]: iteration complete: 5000 enodes 3.417 * * [simplify]: Extracting #0: cost 22 inf + 0 3.418 * * [simplify]: Extracting #1: cost 307 inf + 0 3.421 * * [simplify]: Extracting #2: cost 1136 inf + 57 3.425 * * [simplify]: Extracting #3: cost 834 inf + 2000 3.430 * * [simplify]: Extracting #4: cost 350 inf + 4951 3.434 * * [simplify]: Extracting #5: cost 149 inf + 6794 3.439 * * [simplify]: Extracting #6: cost 39 inf + 7755 3.444 * * [simplify]: Extracting #7: cost 18 inf + 7896 3.452 * * [simplify]: Extracting #8: cost 6 inf + 7940 3.457 * * [simplify]: Extracting #9: cost 0 inf + 7970 3.465 * [simplify]: Simplified to: (* x (- x 1.0)) (* (sqrt x) (sqrt (- x 1.0))) (* x (- x 1.0)) (log (* (sqrt x) (sqrt (- x 1.0)))) (log (* (sqrt x) (sqrt (- x 1.0)))) (pow (exp (sqrt x)) (sqrt (- x 1.0))) (pow (* (sqrt x) (sqrt (- x 1.0))) 3) (* (cbrt (* (sqrt x) (sqrt (- x 1.0)))) (cbrt (* (sqrt x) (sqrt (- x 1.0))))) (cbrt (* (sqrt x) (sqrt (- x 1.0)))) (pow (* (sqrt x) (sqrt (- x 1.0))) 3) (* x (- x 1.0)) (sqrt (* (sqrt x) (sqrt (- x 1.0)))) (sqrt (* (sqrt x) (sqrt (- x 1.0)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1.0)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1.0)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1.0)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1.0)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1.0)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1.0)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1.0)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1.0)))) (* (* (cbrt (sqrt x)) (sqrt (- x 1.0))) (cbrt (sqrt x))) (* (sqrt (- x 1.0)) (fabs (cbrt x))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt x) (cbrt (sqrt (- x 1.0)))) (* (sqrt x) (sqrt (cbrt (- x 1.0)))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt x) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (* (- x 1.0) (+ x 1.0))) (sqrt x)) (* +nan.0 (+ (- x) (- (pow x 3) (* x x)))) (- x (+ 0.5 (/ 0.125 x))) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) 3.466 * * * [progress]: adding candidates to table 3.589 * * [progress]: iteration 2 / 4 3.589 * * * [progress]: picking best candidate 3.593 * * * * [pick]: Picked # 3.593 * * * [progress]: localizing error 3.599 * * * [progress]: generating rewritten candidates 3.599 * * * [progress]: generating series expansions 3.599 * * * [progress]: simplifying candidates 3.599 * [simplify]: Simplifying: 3.599 * * [simplify]: iteration 0: 0 enodes 3.599 * * [simplify]: iteration complete: 0 enodes 3.599 * * [simplify]: Extracting #0: cost 0 inf + 0 3.599 * [simplify]: Simplified to: 3.599 * * * [progress]: adding candidates to table 3.600 * * [progress]: iteration 3 / 4 3.600 * * * [progress]: picking best candidate 3.604 * * * * [pick]: Picked # 3.604 * * * [progress]: localizing error 3.621 * * * [progress]: generating rewritten candidates 3.621 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.633 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.658 * * * [progress]: generating series expansions 3.658 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.658 * [backup-simplify]: Simplify (sqrt (* x (- x 1.0))) into (sqrt (* x (- x 1.0))) 3.658 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 3.658 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 3.658 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.658 * [taylor]: Taking taylor expansion of x in x 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 1 into 1 3.658 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.658 * [taylor]: Taking taylor expansion of x in x 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 1 into 1 3.658 * [taylor]: Taking taylor expansion of 1.0 in x 3.658 * [backup-simplify]: Simplify 1.0 into 1.0 3.658 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.659 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.659 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.660 * [backup-simplify]: Simplify (- 0) into 0 3.660 * [backup-simplify]: Simplify (+ 1 0) into 1 3.661 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.661 * [backup-simplify]: Simplify (sqrt 0) into 0 3.663 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.663 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 3.663 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.663 * [taylor]: Taking taylor expansion of x in x 3.663 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify 1 into 1 3.663 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.663 * [taylor]: Taking taylor expansion of x in x 3.663 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify 1 into 1 3.663 * [taylor]: Taking taylor expansion of 1.0 in x 3.663 * [backup-simplify]: Simplify 1.0 into 1.0 3.663 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.664 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.664 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.664 * [backup-simplify]: Simplify (- 0) into 0 3.664 * [backup-simplify]: Simplify (+ 1 0) into 1 3.666 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.666 * [backup-simplify]: Simplify (sqrt 0) into 0 3.667 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.667 * [backup-simplify]: Simplify (- 0) into 0 3.668 * [backup-simplify]: Simplify (+ 0 0) into 0 3.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 3.670 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.670 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.671 * [backup-simplify]: Simplify (- 0) into 0 3.671 * [backup-simplify]: Simplify (+ 0 0) into 0 3.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 3.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.674 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.675 * [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))))))) 3.675 * [backup-simplify]: Simplify (sqrt (* (/ 1 x) (- (/ 1 x) 1.0))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 3.675 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 3.675 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.675 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.675 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.675 * [taylor]: Taking taylor expansion of x in x 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [backup-simplify]: Simplify (/ 1 1) into 1 3.675 * [taylor]: Taking taylor expansion of 1.0 in x 3.675 * [backup-simplify]: Simplify 1.0 into 1.0 3.675 * [taylor]: Taking taylor expansion of x in x 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [backup-simplify]: Simplify (+ 1 0) into 1 3.676 * [backup-simplify]: Simplify (/ 1 1) into 1 3.676 * [backup-simplify]: Simplify (sqrt 1) into 1 3.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.677 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.677 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.679 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.680 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.680 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.680 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.680 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.680 * [taylor]: Taking taylor expansion of x in x 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (/ 1 1) into 1 3.680 * [taylor]: Taking taylor expansion of 1.0 in x 3.680 * [backup-simplify]: Simplify 1.0 into 1.0 3.680 * [taylor]: Taking taylor expansion of x in x 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (+ 1 0) into 1 3.681 * [backup-simplify]: Simplify (/ 1 1) into 1 3.681 * [backup-simplify]: Simplify (sqrt 1) into 1 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.682 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.684 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.685 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.685 * [backup-simplify]: Simplify 1 into 1 3.685 * [backup-simplify]: Simplify -0.5 into -0.5 3.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.686 * [backup-simplify]: Simplify (- 0) into 0 3.686 * [backup-simplify]: Simplify (+ 0 0) into 0 3.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 3.688 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.688 * [backup-simplify]: Simplify -0.125 into -0.125 3.688 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 3.689 * [backup-simplify]: Simplify (sqrt (* (/ 1 (- x)) (- (/ 1 (- x)) 1.0))) into (sqrt (/ (+ (/ 1 x) 1.0) x)) 3.689 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in (x) around 0 3.689 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 3.689 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.689 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.689 * [taylor]: Taking taylor expansion of x in x 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify 1 into 1 3.689 * [backup-simplify]: Simplify (/ 1 1) into 1 3.689 * [taylor]: Taking taylor expansion of 1.0 in x 3.689 * [backup-simplify]: Simplify 1.0 into 1.0 3.689 * [taylor]: Taking taylor expansion of x in x 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify 1 into 1 3.689 * [backup-simplify]: Simplify (+ 1 0) into 1 3.690 * [backup-simplify]: Simplify (/ 1 1) into 1 3.690 * [backup-simplify]: Simplify (sqrt 1) into 1 3.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.691 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.692 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.693 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.693 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 3.693 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.693 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.693 * [taylor]: Taking taylor expansion of x in x 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify 1 into 1 3.693 * [backup-simplify]: Simplify (/ 1 1) into 1 3.693 * [taylor]: Taking taylor expansion of 1.0 in x 3.693 * [backup-simplify]: Simplify 1.0 into 1.0 3.693 * [taylor]: Taking taylor expansion of x in x 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify 1 into 1 3.694 * [backup-simplify]: Simplify (+ 1 0) into 1 3.694 * [backup-simplify]: Simplify (/ 1 1) into 1 3.694 * [backup-simplify]: Simplify (sqrt 1) into 1 3.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.698 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.699 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.699 * [backup-simplify]: Simplify 1 into 1 3.699 * [backup-simplify]: Simplify 0.5 into 0.5 3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (+ 0 0) into 0 3.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.705 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.705 * [backup-simplify]: Simplify -0.125 into -0.125 3.705 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.125 (/ 1 x)) 0.5) x) 3.705 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.705 * [backup-simplify]: Simplify (* x (- x 1.0)) into (* x (- x 1.0)) 3.705 * [approximate]: Taking taylor expansion of (* x (- x 1.0)) in (x) around 0 3.705 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.705 * [taylor]: Taking taylor expansion of x in x 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.705 * [taylor]: Taking taylor expansion of x in x 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [taylor]: Taking taylor expansion of 1.0 in x 3.705 * [backup-simplify]: Simplify 1.0 into 1.0 3.705 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.705 * [taylor]: Taking taylor expansion of x in x 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.705 * [taylor]: Taking taylor expansion of x in x 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [taylor]: Taking taylor expansion of 1.0 in x 3.705 * [backup-simplify]: Simplify 1.0 into 1.0 3.706 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.706 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.707 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify (- 0) into 0 3.707 * [backup-simplify]: Simplify (+ 1 0) into 1 3.708 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.709 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.709 * [backup-simplify]: Simplify (- 0) into 0 3.709 * [backup-simplify]: Simplify (+ 0 0) into 0 3.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 3.710 * [backup-simplify]: Simplify 1 into 1 3.710 * [backup-simplify]: Simplify (- 0) into 0 3.710 * [backup-simplify]: Simplify (+ 0 0) into 0 3.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 3.711 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify (- 0) into 0 3.712 * [backup-simplify]: Simplify (+ 0 0) into 0 3.713 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- 1.0)))))) into 0 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify (- 0) into 0 3.713 * [backup-simplify]: Simplify (+ 0 0) into 0 3.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- 1.0))))))) into 0 3.716 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify (- 0) into 0 3.717 * [backup-simplify]: Simplify (+ 0 0) into 0 3.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- 1.0)))))))) into 0 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify (- 0) into 0 3.718 * [backup-simplify]: Simplify (+ 0 0) into 0 3.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- 1.0))))))))) into 0 3.720 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify (- 0) into 0 3.720 * [backup-simplify]: Simplify (+ 0 0) into 0 3.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- 1.0)))))))))) into 0 3.722 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* (- 1.0) x)) into (- (pow x 2) (* 1.0 x)) 3.722 * [backup-simplify]: Simplify (* (/ 1 x) (- (/ 1 x) 1.0)) into (/ (- (/ 1 x) 1.0) x) 3.722 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in (x) around 0 3.722 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.722 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.722 * [taylor]: Taking taylor expansion of x in x 3.722 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (/ 1 1) into 1 3.723 * [taylor]: Taking taylor expansion of 1.0 in x 3.723 * [backup-simplify]: Simplify 1.0 into 1.0 3.723 * [taylor]: Taking taylor expansion of x in x 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (+ 1 0) into 1 3.723 * [backup-simplify]: Simplify (/ 1 1) into 1 3.723 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.723 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.723 * [taylor]: Taking taylor expansion of x in x 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.724 * [backup-simplify]: Simplify (/ 1 1) into 1 3.724 * [taylor]: Taking taylor expansion of 1.0 in x 3.724 * [backup-simplify]: Simplify 1.0 into 1.0 3.724 * [taylor]: Taking taylor expansion of x in x 3.724 * [backup-simplify]: Simplify 0 into 0 3.724 * [backup-simplify]: Simplify 1 into 1 3.724 * [backup-simplify]: Simplify (+ 1 0) into 1 3.724 * [backup-simplify]: Simplify (/ 1 1) into 1 3.724 * [backup-simplify]: Simplify 1 into 1 3.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.725 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.726 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.727 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.727 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.728 * [backup-simplify]: Simplify (- 0) into 0 3.728 * [backup-simplify]: Simplify (+ 0 0) into 0 3.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 3.729 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.730 * [backup-simplify]: Simplify (- 0) into 0 3.730 * [backup-simplify]: Simplify (+ 0 0) into 0 3.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.731 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.732 * [backup-simplify]: Simplify (- 0) into 0 3.732 * [backup-simplify]: Simplify (+ 0 0) into 0 3.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.733 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.734 * [backup-simplify]: Simplify (- 0) into 0 3.734 * [backup-simplify]: Simplify (+ 0 0) into 0 3.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.735 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.736 * [backup-simplify]: Simplify (- 0) into 0 3.736 * [backup-simplify]: Simplify (+ 0 0) into 0 3.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.737 * [backup-simplify]: Simplify 0 into 0 3.737 * [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 3.738 * [backup-simplify]: Simplify (- 0) into 0 3.738 * [backup-simplify]: Simplify (+ 0 0) into 0 3.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (- (pow x 2) (* 1.0 x)) 3.739 * [backup-simplify]: Simplify (* (/ 1 (- x)) (- (/ 1 (- x)) 1.0)) into (/ (+ (/ 1 x) 1.0) x) 3.739 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in (x) around 0 3.739 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.739 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.739 * [taylor]: Taking taylor expansion of x in x 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.740 * [backup-simplify]: Simplify (/ 1 1) into 1 3.740 * [taylor]: Taking taylor expansion of 1.0 in x 3.740 * [backup-simplify]: Simplify 1.0 into 1.0 3.740 * [taylor]: Taking taylor expansion of x in x 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 1 into 1 3.740 * [backup-simplify]: Simplify (+ 1 0) into 1 3.740 * [backup-simplify]: Simplify (/ 1 1) into 1 3.740 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.740 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.740 * [taylor]: Taking taylor expansion of x in x 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (/ 1 1) into 1 3.741 * [taylor]: Taking taylor expansion of 1.0 in x 3.741 * [backup-simplify]: Simplify 1.0 into 1.0 3.741 * [taylor]: Taking taylor expansion of x in x 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (+ 1 0) into 1 3.741 * [backup-simplify]: Simplify (/ 1 1) into 1 3.741 * [backup-simplify]: Simplify 1 into 1 3.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.742 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.743 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.743 * [backup-simplify]: Simplify 1.0 into 1.0 3.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.744 * [backup-simplify]: Simplify (+ 0 0) into 0 3.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.745 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (+ 0 0) into 0 3.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.747 * [backup-simplify]: Simplify (+ 0 0) into 0 3.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.749 * [backup-simplify]: Simplify (+ 0 0) into 0 3.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.749 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.750 * [backup-simplify]: Simplify (+ 0 0) into 0 3.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.751 * [backup-simplify]: Simplify 0 into 0 3.752 * [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 3.752 * [backup-simplify]: Simplify (+ 0 0) into 0 3.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (- (pow x 2) (* 1.0 x)) 3.753 * * * [progress]: simplifying candidates 3.754 * [simplify]: Simplifying: (log (sqrt (* x (- x 1.0)))) (exp (sqrt (* x (- x 1.0)))) (* (cbrt (sqrt (* x (- x 1.0)))) (cbrt (sqrt (* x (- x 1.0))))) (cbrt (sqrt (* x (- x 1.0)))) (* (* (sqrt (* x (- x 1.0))) (sqrt (* x (- x 1.0)))) (sqrt (* x (- x 1.0)))) (sqrt x) (sqrt (- x 1.0)) (sqrt (* x (- (pow x 3) (pow 1.0 3)))) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (* x (- (* x x) (* 1.0 1.0)))) (sqrt (+ x 1.0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* x (- x 1.0)))) (sqrt (sqrt (* x (- x 1.0)))) (* x (- x 1.0)) (+ (log x) (log (- x 1.0))) (log (* x (- x 1.0))) (exp (* x (- x 1.0))) (* (* (* x x) x) (* (* (- x 1.0) (- x 1.0)) (- x 1.0))) (* (cbrt (* x (- x 1.0))) (cbrt (* x (- x 1.0)))) (cbrt (* x (- x 1.0))) (* (* (* x (- x 1.0)) (* x (- x 1.0))) (* x (- x 1.0))) (sqrt (* x (- x 1.0))) (sqrt (* x (- x 1.0))) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt x) (sqrt (- x 1.0))) (* x x) (* x (- 1.0)) (* x x) (* x (- 1.0)) (* x x) (* (- 1.0) x) (* x x) (* (- 1.0) x) (* x (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (* x (sqrt (- x 1.0))) (* x 1) (* x (+ (sqrt x) (sqrt 1.0))) (* x 1) (* (cbrt x) (- x 1.0)) (* (sqrt x) (- x 1.0)) (* x (- x 1.0)) (* x (- (pow x 3) (pow 1.0 3))) (* x (- (* x x) (* 1.0 1.0))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) (- x (+ (* 0.125 (/ 1 x)) 0.5)) (- (+ (* 0.125 (/ 1 x)) 0.5) x) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) 3.754 * * [simplify]: iteration 0: 81 enodes 3.772 * * [simplify]: iteration 1: 197 enodes 3.844 * * [simplify]: iteration 2: 792 enodes 4.145 * * [simplify]: iteration complete: 5000 enodes 4.145 * * [simplify]: Extracting #0: cost 37 inf + 0 4.147 * * [simplify]: Extracting #1: cost 636 inf + 7 4.156 * * [simplify]: Extracting #2: cost 1865 inf + 1109 4.169 * * [simplify]: Extracting #3: cost 843 inf + 10298 4.182 * * [simplify]: Extracting #4: cost 36 inf + 16156 4.196 * * [simplify]: Extracting #5: cost 9 inf + 16239 4.210 * * [simplify]: Extracting #6: cost 2 inf + 16256 4.224 * * [simplify]: Extracting #7: cost 0 inf + 16266 4.241 * [simplify]: Simplified to: (log (sqrt (* (- x 1.0) x))) (exp (sqrt (* (- x 1.0) x))) (* (cbrt (sqrt (* (- x 1.0) x))) (cbrt (sqrt (* (- x 1.0) x)))) (cbrt (sqrt (* (- x 1.0) x))) (pow (sqrt (* (- x 1.0) x)) 3) (sqrt x) (sqrt (- x 1.0)) (sqrt (* x (- (pow x 3) (pow 1.0 3)))) (sqrt (+ (* x (+ x 1.0)) (* 1.0 1.0))) (sqrt (* (* (+ x 1.0) (- x 1.0)) x)) (sqrt (+ x 1.0)) 1/2 1/2 (sqrt (sqrt (* (- x 1.0) x))) (sqrt (sqrt (* (- x 1.0) x))) (* (- x 1.0) x) (log (* (- x 1.0) x)) (log (* (- x 1.0) x)) (exp (* (- x 1.0) x)) (* (pow (- x 1.0) 3) (pow x 3)) (* (cbrt (* (- x 1.0) x)) (cbrt (* (- x 1.0) x))) (cbrt (* (- x 1.0) x)) (pow (* (- x 1.0) x) 3) (sqrt (* (- x 1.0) x)) (sqrt (* (- x 1.0) x)) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt x) (sqrt (- x 1.0))) (* x x) (- (* 1.0 x)) (* x x) (- (* 1.0 x)) (* x x) (- (* 1.0 x)) (* x x) (- (* 1.0 x)) (* x (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (* x (sqrt (- x 1.0))) x (* x (+ (sqrt x) (sqrt 1.0))) x (* (- x 1.0) (cbrt x)) (* (sqrt x) (- x 1.0)) (* (- x 1.0) x) (* x (- (pow x 3) (pow 1.0 3))) (* (* (+ x 1.0) (- x 1.0)) x) (* +nan.0 (+ (- (pow x 3) (* x x)) (- x))) (- (- x 0.5) (/ 0.125 x)) (+ (- 0.5 x) (/ 0.125 x)) (* x (- x 1.0)) (* x (- x 1.0)) (* x (- x 1.0)) 4.241 * * * [progress]: adding candidates to table 4.428 * [progress]: [Phase 3 of 3] Extracting. 4.428 * * [regime]: Finding splitpoints for: (# # #) 4.429 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1.0)) (sqrt x)) x) 4.430 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1.0)) (sqrt x)) from (# # #) 4.476 * * * * [regimes]: Trying to branch on x from (# # #) 4.517 * * * [regime]: Found split indices: #