0.687 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.322 * * * [progress]: [2/2] Setting up program. 0.330 * [progress]: [Phase 2 of 3] Improving. 0.334 * [simplify]: Simplifying: (* (sqrt (- x 1.0)) (sqrt x)) 0.335 * * [simplify]: iteration 0: 6 enodes 0.341 * * [simplify]: iteration 1: 9 enodes 0.344 * * [simplify]: iteration 2: 10 enodes 0.346 * * [simplify]: iteration complete: 10 enodes 0.346 * * [simplify]: Extracting #0: cost 1 inf + 0 0.347 * * [simplify]: Extracting #1: cost 3 inf + 0 0.347 * * [simplify]: Extracting #2: cost 5 inf + 0 0.347 * * [simplify]: Extracting #3: cost 6 inf + 1 0.347 * * [simplify]: Extracting #4: cost 0 inf + 370 0.347 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.349 * * [progress]: iteration 1 / 4 0.350 * * * [progress]: picking best candidate 0.355 * * * * [pick]: Picked # 0.355 * * * [progress]: localizing error 0.366 * * * [progress]: generating rewritten candidates 0.366 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.416 * * * [progress]: generating series expansions 0.417 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.443 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* x (- x 1.0))) 0.443 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 0.447 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.447 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [taylor]: Taking taylor expansion of (- x 1.0) 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 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * [backup-simplify]: Simplify 1.0 into 1.0 0.449 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.451 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.452 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.452 * [backup-simplify]: Simplify (- 0) into 0 0.453 * [backup-simplify]: Simplify (+ 1 0) into 1 0.455 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.455 * [backup-simplify]: Simplify (sqrt 0) into 0 0.457 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.457 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.457 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 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 0.458 * [taylor]: Taking taylor expansion of (- x 1.0) in x 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 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [backup-simplify]: Simplify 1.0 into 1.0 0.458 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.459 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.460 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.460 * [backup-simplify]: Simplify (- 0) into 0 0.461 * [backup-simplify]: Simplify (+ 1 0) into 1 0.463 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.463 * [backup-simplify]: Simplify (sqrt 0) into 0 0.465 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.467 * [backup-simplify]: Simplify (- 0) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 0.473 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.473 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 0.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.479 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.480 * [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))))))) 0.481 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.481 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.481 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.481 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.481 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [backup-simplify]: Simplify 1.0 into 1.0 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (+ 1 0) into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [backup-simplify]: Simplify (sqrt 1) into 1 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.486 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.489 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.491 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.491 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.491 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.491 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (/ 1 1) into 1 0.492 * [taylor]: Taking taylor expansion of 1.0 in x 0.492 * [backup-simplify]: Simplify 1.0 into 1.0 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (+ 1 0) into 1 0.493 * [backup-simplify]: Simplify (/ 1 1) into 1 0.493 * [backup-simplify]: Simplify (sqrt 1) into 1 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.495 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.498 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.500 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify -0.5 into -0.5 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (- 0) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.506 * [backup-simplify]: Simplify -0.125 into -0.125 0.507 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 0.507 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) 0.507 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in (x) around 0 0.507 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.507 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.507 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [backup-simplify]: Simplify 1.0 into 1.0 0.508 * [backup-simplify]: Simplify (+ 1 0) into 1 0.509 * [backup-simplify]: Simplify (- 1) into -1 0.509 * [backup-simplify]: Simplify (sqrt 0) into 0 0.509 * [backup-simplify]: Simplify (- 1) into -1 0.511 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.511 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.511 * [taylor]: Taking taylor expansion of -1 in x 0.511 * [backup-simplify]: Simplify -1 into -1 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (/ -1 1) into -1 0.512 * [backup-simplify]: Simplify (sqrt 0) into 0 0.513 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.513 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.514 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.514 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [backup-simplify]: Simplify 1.0 into 1.0 0.515 * [backup-simplify]: Simplify (+ 1 0) into 1 0.515 * [backup-simplify]: Simplify (- 1) into -1 0.515 * [backup-simplify]: Simplify (sqrt 0) into 0 0.516 * [backup-simplify]: Simplify (- 1) into -1 0.517 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.517 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.517 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.517 * [taylor]: Taking taylor expansion of -1 in x 0.517 * [backup-simplify]: Simplify -1 into -1 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (/ -1 1) into -1 0.518 * [backup-simplify]: Simplify (sqrt 0) into 0 0.520 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.520 * [backup-simplify]: Simplify (* 0 0) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.527 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.531 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.536 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.536 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (- 0) into 0 0.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.552 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.552 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (- 0) into 0 0.565 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.568 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.568 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.569 * [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))))) 0.569 * * * [progress]: simplifying candidates 0.570 * [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))))) 0.570 * * [simplify]: iteration 0: 83 enodes 0.599 * * [simplify]: iteration 1: 190 enodes 0.700 * * [simplify]: iteration 2: 489 enodes 0.984 * * [simplify]: iteration 3: 1353 enodes 2.017 * * [simplify]: iteration 4: 4655 enodes 3.400 * * [simplify]: iteration complete: 5002 enodes 3.400 * * [simplify]: Extracting #0: cost 22 inf + 0 3.401 * * [simplify]: Extracting #1: cost 309 inf + 0 3.407 * * [simplify]: Extracting #2: cost 1099 inf + 2840 3.427 * * [simplify]: Extracting #3: cost 1054 inf + 42407 3.479 * * [simplify]: Extracting #4: cost 533 inf + 121784 3.540 * * [simplify]: Extracting #5: cost 139 inf + 208385 3.588 * * [simplify]: Extracting #6: cost 2 inf + 248146 3.652 * * [simplify]: Extracting #7: cost 0 inf + 248843 3.704 * [simplify]: Simplified to: (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (- x 1.0) (sqrt (- x 1.0))) (* (sqrt x) x)) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (* (* (- x 1.0) (sqrt (- x 1.0))) (* (sqrt x) x)) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (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)) (cbrt (sqrt x))) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (fabs (cbrt x))) (* (sqrt (sqrt x)) (sqrt (- x 1.0))) (sqrt (- x 1.0)) (* (sqrt (sqrt x)) (sqrt (- x 1.0))) (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 1.0)) (sqrt x)) (* (sqrt x) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (* x (* x x)) (* 1.0 (* 1.0 1.0)))) (sqrt x)) (* (sqrt x) (sqrt (* (+ 1.0 x) (- x 1.0)))) (- (* (* +nan.0 x) (- (* x x) x)) (* +nan.0 x)) (- x (+ 0.5 (/ 0.125 x))) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) 3.707 * * * [progress]: adding candidates to table 3.911 * * [progress]: iteration 2 / 4 3.911 * * * [progress]: picking best candidate 3.923 * * * * [pick]: Picked # 3.923 * * * [progress]: localizing error 3.934 * * * [progress]: generating rewritten candidates 3.934 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.958 * * * [progress]: generating series expansions 3.958 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.958 * [backup-simplify]: Simplify (- x (+ 0.5 (/ 0.125 x))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 3.958 * [approximate]: Taking taylor expansion of (- x (+ (* 0.125 (/ 1 x)) 0.5)) in (x) around 0 3.958 * [taylor]: Taking taylor expansion of (- x (+ (* 0.125 (/ 1 x)) 0.5)) in x 3.958 * [taylor]: Taking taylor expansion of x in x 3.958 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify 1 into 1 3.958 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 x)) 0.5) in x 3.958 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 x)) in x 3.958 * [taylor]: Taking taylor expansion of 0.125 in x 3.958 * [backup-simplify]: Simplify 0.125 into 0.125 3.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.958 * [taylor]: Taking taylor expansion of x in x 3.958 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify 1 into 1 3.958 * [backup-simplify]: Simplify (/ 1 1) into 1 3.958 * [taylor]: Taking taylor expansion of 0.5 in x 3.958 * [backup-simplify]: Simplify 0.5 into 0.5 3.958 * [taylor]: Taking taylor expansion of (- x (+ (* 0.125 (/ 1 x)) 0.5)) in x 3.958 * [taylor]: Taking taylor expansion of x in x 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify 1 into 1 3.959 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 x)) 0.5) in x 3.959 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 x)) in x 3.959 * [taylor]: Taking taylor expansion of 0.125 in x 3.959 * [backup-simplify]: Simplify 0.125 into 0.125 3.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.959 * [taylor]: Taking taylor expansion of x in x 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify 1 into 1 3.959 * [backup-simplify]: Simplify (/ 1 1) into 1 3.959 * [taylor]: Taking taylor expansion of 0.5 in x 3.959 * [backup-simplify]: Simplify 0.5 into 0.5 3.959 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 3.960 * [backup-simplify]: Simplify (+ 0.125 0) into 0.125 3.960 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 3.960 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 3.961 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 3.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.961 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 3.962 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 3.962 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.963 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.963 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.964 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 3.964 * [backup-simplify]: Simplify (+ 0 0) into 0 3.964 * [backup-simplify]: Simplify (- 0) into 0 3.965 * [backup-simplify]: Simplify (+ 1 0) into 1 3.965 * [backup-simplify]: Simplify 1 into 1 3.965 * [backup-simplify]: Simplify (+ (* 1 x) (+ (- 0.5) (* (- 0.125) (/ 1 x)))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 3.965 * [backup-simplify]: Simplify (- (/ 1 x) (+ 0.5 (/ 0.125 (/ 1 x)))) into (- (/ 1 x) (+ (* 0.125 x) 0.5)) 3.965 * [approximate]: Taking taylor expansion of (- (/ 1 x) (+ (* 0.125 x) 0.5)) in (x) around 0 3.965 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ (* 0.125 x) 0.5)) in x 3.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.965 * [taylor]: Taking taylor expansion of x in x 3.965 * [backup-simplify]: Simplify 0 into 0 3.965 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify (/ 1 1) into 1 3.966 * [taylor]: Taking taylor expansion of (+ (* 0.125 x) 0.5) in x 3.966 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 3.966 * [taylor]: Taking taylor expansion of 0.125 in x 3.966 * [backup-simplify]: Simplify 0.125 into 0.125 3.966 * [taylor]: Taking taylor expansion of x in x 3.966 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify 1 into 1 3.966 * [taylor]: Taking taylor expansion of 0.5 in x 3.966 * [backup-simplify]: Simplify 0.5 into 0.5 3.966 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ (* 0.125 x) 0.5)) in x 3.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.966 * [taylor]: Taking taylor expansion of x in x 3.966 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify (/ 1 1) into 1 3.966 * [taylor]: Taking taylor expansion of (+ (* 0.125 x) 0.5) in x 3.966 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 3.966 * [taylor]: Taking taylor expansion of 0.125 in x 3.966 * [backup-simplify]: Simplify 0.125 into 0.125 3.966 * [taylor]: Taking taylor expansion of x in x 3.966 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify 1 into 1 3.966 * [taylor]: Taking taylor expansion of 0.5 in x 3.966 * [backup-simplify]: Simplify 0.5 into 0.5 3.967 * [backup-simplify]: Simplify (+ 1 0) into 1 3.967 * [backup-simplify]: Simplify 1 into 1 3.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.967 * [backup-simplify]: Simplify (* 0.125 0) into 0 3.968 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 3.968 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.969 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.969 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.972 * [backup-simplify]: Simplify (+ (* 0.125 1) (* 0 0)) into 0.125 3.972 * [backup-simplify]: Simplify (+ 0.125 0) into 0.125 3.973 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 3.974 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 3.974 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 3.978 * [backup-simplify]: Simplify (+ (* (- 0.125) (/ 1 x)) (+ (- 0.5) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 3.978 * [backup-simplify]: Simplify (- (/ 1 (- x)) (+ 0.5 (/ 0.125 (/ 1 (- x))))) into (- (* 0.125 x) (+ (/ 1 x) 0.5)) 3.978 * [approximate]: Taking taylor expansion of (- (* 0.125 x) (+ (/ 1 x) 0.5)) in (x) around 0 3.978 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (+ (/ 1 x) 0.5)) in x 3.978 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 3.978 * [taylor]: Taking taylor expansion of 0.125 in x 3.978 * [backup-simplify]: Simplify 0.125 into 0.125 3.978 * [taylor]: Taking taylor expansion of x in x 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 0.5) in x 3.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.978 * [taylor]: Taking taylor expansion of x in x 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [backup-simplify]: Simplify (/ 1 1) into 1 3.978 * [taylor]: Taking taylor expansion of 0.5 in x 3.978 * [backup-simplify]: Simplify 0.5 into 0.5 3.978 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (+ (/ 1 x) 0.5)) in x 3.978 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 3.978 * [taylor]: Taking taylor expansion of 0.125 in x 3.978 * [backup-simplify]: Simplify 0.125 into 0.125 3.978 * [taylor]: Taking taylor expansion of x in x 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 0.5) in x 3.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.978 * [taylor]: Taking taylor expansion of x in x 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.979 * [backup-simplify]: Simplify (/ 1 1) into 1 3.979 * [taylor]: Taking taylor expansion of 0.5 in x 3.979 * [backup-simplify]: Simplify 0.5 into 0.5 3.979 * [backup-simplify]: Simplify (+ 1 0) into 1 3.979 * [backup-simplify]: Simplify (- 1) into -1 3.980 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.980 * [backup-simplify]: Simplify -1 into -1 3.980 * [backup-simplify]: Simplify (* 0.125 0) into 0 3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 3.981 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.982 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.982 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.983 * [backup-simplify]: Simplify (+ (* 0.125 1) (* 0 0)) into 0.125 3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.983 * [backup-simplify]: Simplify (+ 0 0) into 0 3.984 * [backup-simplify]: Simplify (- 0) into 0 3.984 * [backup-simplify]: Simplify (+ 0.125 0) into 0.125 3.984 * [backup-simplify]: Simplify 0.125 into 0.125 3.984 * [backup-simplify]: Simplify (+ (* 0.125 (/ 1 (- x))) (+ (- 0.5) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 3.984 * * * [progress]: simplifying candidates 3.985 * [simplify]: Simplifying: (/ (exp x) (* (exp 0.5) (exp (/ 0.125 x)))) (/ (exp x) (exp (+ 0.5 (/ 0.125 x)))) (log (- x (+ 0.5 (/ 0.125 x)))) (exp (- x (+ 0.5 (/ 0.125 x)))) (* (cbrt (- x (+ 0.5 (/ 0.125 x)))) (cbrt (- x (+ 0.5 (/ 0.125 x))))) (cbrt (- x (+ 0.5 (/ 0.125 x)))) (* (* (- x (+ 0.5 (/ 0.125 x))) (- x (+ 0.5 (/ 0.125 x)))) (- x (+ 0.5 (/ 0.125 x)))) (sqrt (- x (+ 0.5 (/ 0.125 x)))) (sqrt (- x (+ 0.5 (/ 0.125 x)))) (- (pow x 3) (pow (+ 0.5 (/ 0.125 x)) 3)) (+ (* x x) (+ (* (+ 0.5 (/ 0.125 x)) (+ 0.5 (/ 0.125 x))) (* x (+ 0.5 (/ 0.125 x))))) (- (+ 0.5 (/ 0.125 x))) (- (* x x) (* (+ 0.5 (/ 0.125 x)) (+ 0.5 (/ 0.125 x)))) (+ x (+ 0.5 (/ 0.125 x))) (+ (sqrt x) (sqrt (+ 0.5 (/ 0.125 x)))) (- (sqrt x) (sqrt (+ 0.5 (/ 0.125 x)))) (- x (+ 0.5 (/ 0.125 x))) (- x (+ 0.5 (/ 0.125 x))) (- x 0.5) (- (+ 0.5 (/ 0.125 x))) (- x (+ (* 0.125 (/ 1 x)) 0.5)) (- x (+ (* 0.125 (/ 1 x)) 0.5)) (- x (+ (* 0.125 (/ 1 x)) 0.5)) 3.985 * * [simplify]: iteration 0: 42 enodes 3.994 * * [simplify]: iteration 1: 103 enodes 4.027 * * [simplify]: iteration 2: 294 enodes 4.167 * * [simplify]: iteration 3: 1248 enodes 4.719 * * [simplify]: iteration complete: 5003 enodes 4.719 * * [simplify]: Extracting #0: cost 15 inf + 0 4.720 * * [simplify]: Extracting #1: cost 292 inf + 0 4.723 * * [simplify]: Extracting #2: cost 1376 inf + 1037 4.734 * * [simplify]: Extracting #3: cost 1829 inf + 19933 4.782 * * [simplify]: Extracting #4: cost 739 inf + 204781 4.856 * * [simplify]: Extracting #5: cost 57 inf + 335346 4.965 * * [simplify]: Extracting #6: cost 23 inf + 345346 5.092 * * [simplify]: Extracting #7: cost 4 inf + 349338 5.178 * * [simplify]: Extracting #8: cost 0 inf + 350350 5.313 * [simplify]: Simplified to: (exp (- (- x 0.5) (/ 0.125 x))) (exp (- (- x 0.5) (/ 0.125 x))) (log (- (- x 0.5) (/ 0.125 x))) (exp (- (- x 0.5) (/ 0.125 x))) (* (cbrt (- (- x 0.5) (/ 0.125 x))) (cbrt (- (- x 0.5) (/ 0.125 x)))) (cbrt (- (- x 0.5) (/ 0.125 x))) (* (- (- x 0.5) (/ 0.125 x)) (* (- (- x 0.5) (/ 0.125 x)) (- (- x 0.5) (/ 0.125 x)))) (sqrt (- (- x 0.5) (/ 0.125 x))) (sqrt (- (- x 0.5) (/ 0.125 x))) (- (* x (* x x)) (* (+ 0.5 (/ 0.125 x)) (* (+ 0.5 (/ 0.125 x)) (+ 0.5 (/ 0.125 x))))) (+ (* (+ 0.5 (/ 0.125 x)) (+ x (+ 0.5 (/ 0.125 x)))) (* x x)) (- (+ (/ 0.125 x) 0.5)) (- (* x x) (* (+ 0.5 (/ 0.125 x)) (+ 0.5 (/ 0.125 x)))) (+ (+ x 0.5) (/ 0.125 x)) (+ (sqrt (+ 0.5 (/ 0.125 x))) (sqrt x)) (- (sqrt x) (sqrt (+ 0.5 (/ 0.125 x)))) (- (- x 0.5) (/ 0.125 x)) (- (- x 0.5) (/ 0.125 x)) (- x 0.5) (- (+ (/ 0.125 x) 0.5)) (- (- x 0.5) (/ 0.125 x)) (- (- x 0.5) (/ 0.125 x)) (- (- x 0.5) (/ 0.125 x)) 5.315 * * * [progress]: adding candidates to table 5.381 * * [progress]: iteration 3 / 4 5.381 * * * [progress]: picking best candidate 5.387 * * * * [pick]: Picked # 5.387 * * * [progress]: localizing error 5.400 * * * [progress]: generating rewritten candidates 5.400 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 5.408 * * * [progress]: generating series expansions 5.408 * * * * [progress]: [ 1 / 1 ] generating series at (2) 5.408 * [backup-simplify]: Simplify (sqrt (* (- x 1.0) x)) into (sqrt (* x (- x 1.0))) 5.408 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 5.408 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 5.408 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 5.408 * [taylor]: Taking taylor expansion of x in x 5.408 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify 1 into 1 5.408 * [taylor]: Taking taylor expansion of (- x 1.0) in x 5.408 * [taylor]: Taking taylor expansion of x in x 5.408 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify 1 into 1 5.408 * [taylor]: Taking taylor expansion of 1.0 in x 5.408 * [backup-simplify]: Simplify 1.0 into 1.0 5.409 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.409 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 5.410 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 5.410 * [backup-simplify]: Simplify (- 0) into 0 5.410 * [backup-simplify]: Simplify (+ 1 0) into 1 5.411 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 5.412 * [backup-simplify]: Simplify (sqrt 0) into 0 5.413 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 5.413 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 5.413 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 5.413 * [taylor]: Taking taylor expansion of x in x 5.413 * [backup-simplify]: Simplify 0 into 0 5.413 * [backup-simplify]: Simplify 1 into 1 5.413 * [taylor]: Taking taylor expansion of (- x 1.0) in x 5.413 * [taylor]: Taking taylor expansion of x in x 5.413 * [backup-simplify]: Simplify 0 into 0 5.413 * [backup-simplify]: Simplify 1 into 1 5.413 * [taylor]: Taking taylor expansion of 1.0 in x 5.413 * [backup-simplify]: Simplify 1.0 into 1.0 5.413 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.414 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 5.414 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 5.417 * [backup-simplify]: Simplify (- 0) into 0 5.417 * [backup-simplify]: Simplify (+ 1 0) into 1 5.418 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 5.419 * [backup-simplify]: Simplify (sqrt 0) into 0 5.420 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 5.420 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.420 * [backup-simplify]: Simplify (- 0) into 0 5.421 * [backup-simplify]: Simplify (+ 0 0) into 0 5.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 5.423 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.423 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.423 * [backup-simplify]: Simplify (- 0) into 0 5.424 * [backup-simplify]: Simplify (+ 0 0) into 0 5.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 5.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.427 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.427 * [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))))))) 5.427 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1.0) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 5.427 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 5.427 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 5.427 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 5.427 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 5.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.427 * [taylor]: Taking taylor expansion of x in x 5.427 * [backup-simplify]: Simplify 0 into 0 5.427 * [backup-simplify]: Simplify 1 into 1 5.428 * [backup-simplify]: Simplify (/ 1 1) into 1 5.428 * [taylor]: Taking taylor expansion of 1.0 in x 5.428 * [backup-simplify]: Simplify 1.0 into 1.0 5.428 * [taylor]: Taking taylor expansion of x in x 5.428 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify 1 into 1 5.428 * [backup-simplify]: Simplify (+ 1 0) into 1 5.428 * [backup-simplify]: Simplify (/ 1 1) into 1 5.428 * [backup-simplify]: Simplify (sqrt 1) into 1 5.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.429 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.430 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 5.432 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 5.433 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 5.433 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 5.433 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 5.433 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 5.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.433 * [taylor]: Taking taylor expansion of x in x 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify 1 into 1 5.433 * [backup-simplify]: Simplify (/ 1 1) into 1 5.433 * [taylor]: Taking taylor expansion of 1.0 in x 5.433 * [backup-simplify]: Simplify 1.0 into 1.0 5.433 * [taylor]: Taking taylor expansion of x in x 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify 1 into 1 5.433 * [backup-simplify]: Simplify (+ 1 0) into 1 5.434 * [backup-simplify]: Simplify (/ 1 1) into 1 5.434 * [backup-simplify]: Simplify (sqrt 1) into 1 5.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.434 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.435 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 5.436 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 5.437 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 5.438 * [backup-simplify]: Simplify 1 into 1 5.438 * [backup-simplify]: Simplify -0.5 into -0.5 5.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.438 * [backup-simplify]: Simplify (- 0) into 0 5.439 * [backup-simplify]: Simplify (+ 0 0) into 0 5.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 5.441 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 5.441 * [backup-simplify]: Simplify -0.125 into -0.125 5.441 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 5.441 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1.0) x)) 5.441 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in (x) around 0 5.441 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 5.441 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 5.441 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.441 * [taylor]: Taking taylor expansion of x in x 5.441 * [backup-simplify]: Simplify 0 into 0 5.441 * [backup-simplify]: Simplify 1 into 1 5.442 * [backup-simplify]: Simplify (/ 1 1) into 1 5.442 * [taylor]: Taking taylor expansion of 1.0 in x 5.442 * [backup-simplify]: Simplify 1.0 into 1.0 5.442 * [taylor]: Taking taylor expansion of x in x 5.442 * [backup-simplify]: Simplify 0 into 0 5.442 * [backup-simplify]: Simplify 1 into 1 5.442 * [backup-simplify]: Simplify (+ 1 0) into 1 5.442 * [backup-simplify]: Simplify (/ 1 1) into 1 5.443 * [backup-simplify]: Simplify (sqrt 1) into 1 5.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.443 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.444 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 5.445 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 5.445 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 5.445 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 5.445 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.445 * [taylor]: Taking taylor expansion of x in x 5.445 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify 1 into 1 5.446 * [backup-simplify]: Simplify (/ 1 1) into 1 5.446 * [taylor]: Taking taylor expansion of 1.0 in x 5.446 * [backup-simplify]: Simplify 1.0 into 1.0 5.446 * [taylor]: Taking taylor expansion of x in x 5.446 * [backup-simplify]: Simplify 0 into 0 5.446 * [backup-simplify]: Simplify 1 into 1 5.446 * [backup-simplify]: Simplify (+ 1 0) into 1 5.446 * [backup-simplify]: Simplify (/ 1 1) into 1 5.446 * [backup-simplify]: Simplify (sqrt 1) into 1 5.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.447 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.448 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 5.449 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 5.449 * [backup-simplify]: Simplify 1 into 1 5.449 * [backup-simplify]: Simplify 0.5 into 0.5 5.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.450 * [backup-simplify]: Simplify (+ 0 0) into 0 5.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 5.452 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 5.452 * [backup-simplify]: Simplify -0.125 into -0.125 5.453 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.125 (/ 1 x)) 0.5) x) 5.453 * * * [progress]: simplifying candidates 5.453 * [simplify]: Simplifying: (log (sqrt (* (- x 1.0) x))) (exp (sqrt (* (- x 1.0) x))) (* (cbrt (sqrt (* (- x 1.0) x))) (cbrt (sqrt (* (- x 1.0) x)))) (cbrt (sqrt (* (- x 1.0) x))) (* (* (sqrt (* (- x 1.0) x)) (sqrt (* (- x 1.0) x))) (sqrt (* (- x 1.0) x))) (sqrt (- x 1.0)) (sqrt x) (sqrt (* (- (pow x 3) (pow 1.0 3)) x)) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (* (- (* x x) (* 1.0 1.0)) x)) (sqrt (+ x 1.0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (- x 1.0) x))) (sqrt (sqrt (* (- x 1.0) x))) (- (+ (* +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) 5.453 * * [simplify]: iteration 0: 51 enodes 5.466 * * [simplify]: iteration 1: 114 enodes 5.495 * * [simplify]: iteration 2: 263 enodes 5.592 * * [simplify]: iteration 3: 690 enodes 6.298 * * [simplify]: iteration 4: 2225 enodes 7.586 * * [simplify]: iteration complete: 5001 enodes 7.586 * * [simplify]: Extracting #0: cost 16 inf + 0 7.586 * * [simplify]: Extracting #1: cost 179 inf + 1 7.589 * * [simplify]: Extracting #2: cost 792 inf + 708 7.596 * * [simplify]: Extracting #3: cost 1279 inf + 21202 7.619 * * [simplify]: Extracting #4: cost 608 inf + 117306 7.679 * * [simplify]: Extracting #5: cost 187 inf + 210492 7.718 * * [simplify]: Extracting #6: cost 24 inf + 264473 7.761 * * [simplify]: Extracting #7: cost 16 inf + 269605 7.816 * * [simplify]: Extracting #8: cost 4 inf + 270913 7.888 * * [simplify]: Extracting #9: cost 0 inf + 271925 7.935 * [simplify]: Simplified to: (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))) (* x (- x 1.0))) (sqrt (- x 1.0)) (sqrt x) (sqrt (* x (- (* x (* x x)) (* 1.0 (* 1.0 1.0))))) (sqrt (+ (* 1.0 (+ 1.0 x)) (* x x))) (sqrt (* x (- (* x x) (* 1.0 1.0)))) (sqrt (+ 1.0 x)) 1/2 1/2 (sqrt (sqrt (* x (- x 1.0)))) (sqrt (sqrt (* x (- x 1.0)))) (* x (- (* x (- (* x +nan.0) +nan.0)) +nan.0)) (- x (+ (/ 0.125 x) 0.5)) (+ (- 0.5 x) (/ 0.125 x)) 7.935 * * * [progress]: adding candidates to table 7.988 * [progress]: [Phase 3 of 3] Extracting. 7.989 * * [regime]: Finding splitpoints for: (# # #) 7.990 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1.0)) (sqrt x)) x) 7.990 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1.0)) (sqrt x)) from (# # #) 8.047 * * * * [regimes]: Trying to branch on x from (# # #) 8.081 * * * [regime]: Found split indices: #