0.555 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.184 * * * [progress]: [2/2] Setting up program. 0.193 * [progress]: [Phase 2 of 3] Improving. 0.196 * [simplify]: Simplifying: (* (sqrt (- x 1.0)) (sqrt x)) 0.197 * * [simplify]: iteration 0: 6 enodes 0.204 * * [simplify]: iteration 1: 9 enodes 0.208 * * [simplify]: iteration 2: 10 enodes 0.211 * * [simplify]: iteration complete: 10 enodes 0.212 * * [simplify]: Extracting #0: cost 1 inf + 0 0.212 * * [simplify]: Extracting #1: cost 3 inf + 0 0.212 * * [simplify]: Extracting #2: cost 5 inf + 0 0.212 * * [simplify]: Extracting #3: cost 6 inf + 1 0.212 * * [simplify]: Extracting #4: cost 0 inf + 370 0.212 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.214 * * [progress]: iteration 1 / 4 0.214 * * * [progress]: picking best candidate 0.218 * * * * [pick]: Picked # 0.218 * * * [progress]: localizing error 0.267 * * * [progress]: generating rewritten candidates 0.267 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.315 * * * [progress]: generating series expansions 0.316 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.322 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* x (- x 1.0))) 0.322 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 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 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of 1.0 in x 0.324 * [backup-simplify]: Simplify 1.0 into 1.0 0.325 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.326 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.327 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 1 0) into 1 0.330 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.330 * [backup-simplify]: Simplify (sqrt 0) into 0 0.332 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.332 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.332 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [backup-simplify]: Simplify 1.0 into 1.0 0.333 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.334 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.334 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 1 0) into 1 0.337 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.337 * [backup-simplify]: Simplify (sqrt 0) into 0 0.339 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 0.346 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.346 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 0.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.353 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.354 * [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))))))) 0.355 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.355 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.355 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.355 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [backup-simplify]: Simplify 1.0 into 1.0 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (+ 1 0) into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [backup-simplify]: Simplify (sqrt 1) into 1 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.360 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.362 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.364 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.364 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.364 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.364 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [backup-simplify]: Simplify 1.0 into 1.0 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (+ 1 0) into 1 0.365 * [backup-simplify]: Simplify (/ 1 1) into 1 0.366 * [backup-simplify]: Simplify (sqrt 1) into 1 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.367 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.370 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.371 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify -0.5 into -0.5 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.377 * [backup-simplify]: Simplify -0.125 into -0.125 0.377 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 0.378 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) 0.378 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in (x) around 0 0.378 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.378 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.378 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [backup-simplify]: Simplify 1.0 into 1.0 0.379 * [backup-simplify]: Simplify (+ 1 0) into 1 0.379 * [backup-simplify]: Simplify (- 1) into -1 0.380 * [backup-simplify]: Simplify (sqrt 0) into 0 0.380 * [backup-simplify]: Simplify (- 1) into -1 0.381 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.382 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.382 * [taylor]: Taking taylor expansion of -1 in x 0.382 * [backup-simplify]: Simplify -1 into -1 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (/ -1 1) into -1 0.382 * [backup-simplify]: Simplify (sqrt 0) into 0 0.397 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.397 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.397 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.397 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (/ 1 1) into 1 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [backup-simplify]: Simplify 1.0 into 1.0 0.398 * [backup-simplify]: Simplify (+ 1 0) into 1 0.398 * [backup-simplify]: Simplify (- 1) into -1 0.399 * [backup-simplify]: Simplify (sqrt 0) into 0 0.399 * [backup-simplify]: Simplify (- 1) into -1 0.400 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.400 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.400 * [taylor]: Taking taylor expansion of -1 in x 0.400 * [backup-simplify]: Simplify -1 into -1 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (/ -1 1) into -1 0.401 * [backup-simplify]: Simplify (sqrt 0) into 0 0.402 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.403 * [backup-simplify]: Simplify (* 0 0) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.409 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.412 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.415 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.415 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (- 0) into 0 0.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.429 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.429 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.440 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.445 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.445 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.447 * [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))))) 0.447 * * * [progress]: simplifying candidates 0.449 * [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))))) 0.450 * * [simplify]: iteration 0: 83 enodes 0.485 * * [simplify]: iteration 1: 190 enodes 0.586 * * [simplify]: iteration 2: 489 enodes 0.872 * * [simplify]: iteration 3: 1353 enodes 2.053 * * [simplify]: iteration 4: 4655 enodes 3.418 * * [simplify]: iteration complete: 5002 enodes 3.418 * * [simplify]: Extracting #0: cost 22 inf + 0 3.419 * * [simplify]: Extracting #1: cost 309 inf + 0 3.422 * * [simplify]: Extracting #2: cost 1099 inf + 2840 3.432 * * [simplify]: Extracting #3: cost 1054 inf + 42407 3.461 * * [simplify]: Extracting #4: cost 533 inf + 121784 3.535 * * [simplify]: Extracting #5: cost 139 inf + 208385 3.597 * * [simplify]: Extracting #6: cost 2 inf + 248146 3.660 * * [simplify]: Extracting #7: cost 0 inf + 248843 3.723 * [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)) 3.724 * * * [progress]: adding candidates to table 3.884 * * [progress]: iteration 2 / 4 3.884 * * * [progress]: picking best candidate 3.895 * * * * [pick]: Picked # 3.895 * * * [progress]: localizing error 3.908 * * * [progress]: generating rewritten candidates 3.908 * * * [progress]: generating series expansions 3.908 * * * [progress]: simplifying candidates 3.908 * [simplify]: Simplifying: 3.908 * * [simplify]: iteration 0: 0 enodes 3.908 * * [simplify]: iteration complete: 0 enodes 3.909 * * [simplify]: Extracting #0: cost 0 inf + 0 3.909 * [simplify]: Simplified to: 3.909 * * * [progress]: adding candidates to table 3.910 * * [progress]: iteration 3 / 4 3.910 * * * [progress]: picking best candidate 3.919 * * * * [pick]: Picked # 3.920 * * * [progress]: localizing error 3.932 * * * [progress]: generating rewritten candidates 3.933 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.946 * * * [progress]: generating series expansions 3.946 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.946 * [backup-simplify]: Simplify (sqrt (* (- x 1.0) x)) into (sqrt (* x (- x 1.0))) 3.946 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 3.946 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 3.946 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.946 * [taylor]: Taking taylor expansion of x in x 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.946 * [taylor]: Taking taylor expansion of x in x 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [taylor]: Taking taylor expansion of 1.0 in x 3.947 * [backup-simplify]: Simplify 1.0 into 1.0 3.947 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.948 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.949 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.949 * [backup-simplify]: Simplify (- 0) into 0 3.950 * [backup-simplify]: Simplify (+ 1 0) into 1 3.952 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.952 * [backup-simplify]: Simplify (sqrt 0) into 0 3.954 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.954 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 3.954 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.954 * [taylor]: Taking taylor expansion of x in x 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.954 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.954 * [taylor]: Taking taylor expansion of x in x 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.955 * [taylor]: Taking taylor expansion of 1.0 in x 3.955 * [backup-simplify]: Simplify 1.0 into 1.0 3.955 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.956 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.956 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.957 * [backup-simplify]: Simplify (- 0) into 0 3.957 * [backup-simplify]: Simplify (+ 1 0) into 1 3.959 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.959 * [backup-simplify]: Simplify (sqrt 0) into 0 3.961 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.962 * [backup-simplify]: Simplify (- 0) into 0 3.962 * [backup-simplify]: Simplify (+ 0 0) into 0 3.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 3.966 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.966 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.966 * [backup-simplify]: Simplify (- 0) into 0 3.967 * [backup-simplify]: Simplify (+ 0 0) into 0 3.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 3.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.972 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.973 * [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))))))) 3.973 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1.0) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 3.973 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 3.973 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.973 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.974 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.974 * [taylor]: Taking taylor expansion of x in x 3.974 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify 1 into 1 3.974 * [backup-simplify]: Simplify (/ 1 1) into 1 3.974 * [taylor]: Taking taylor expansion of 1.0 in x 3.974 * [backup-simplify]: Simplify 1.0 into 1.0 3.974 * [taylor]: Taking taylor expansion of x in x 3.974 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify 1 into 1 3.975 * [backup-simplify]: Simplify (+ 1 0) into 1 3.975 * [backup-simplify]: Simplify (/ 1 1) into 1 3.976 * [backup-simplify]: Simplify (sqrt 1) into 1 3.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.978 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.980 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.982 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.982 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.982 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.982 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.982 * [taylor]: Taking taylor expansion of x in x 3.982 * [backup-simplify]: Simplify 0 into 0 3.982 * [backup-simplify]: Simplify 1 into 1 3.983 * [backup-simplify]: Simplify (/ 1 1) into 1 3.983 * [taylor]: Taking taylor expansion of 1.0 in x 3.983 * [backup-simplify]: Simplify 1.0 into 1.0 3.983 * [taylor]: Taking taylor expansion of x in x 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify 1 into 1 3.983 * [backup-simplify]: Simplify (+ 1 0) into 1 3.984 * [backup-simplify]: Simplify (/ 1 1) into 1 3.984 * [backup-simplify]: Simplify (sqrt 1) into 1 3.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.985 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.986 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.988 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.989 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.990 * [backup-simplify]: Simplify 1 into 1 3.990 * [backup-simplify]: Simplify -0.5 into -0.5 3.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.991 * [backup-simplify]: Simplify (- 0) into 0 3.992 * [backup-simplify]: Simplify (+ 0 0) into 0 3.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 3.994 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.994 * [backup-simplify]: Simplify -0.125 into -0.125 3.994 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 3.994 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1.0) x)) 3.994 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in (x) around 0 3.994 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 3.994 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.994 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.994 * [taylor]: Taking taylor expansion of x in x 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 1 into 1 3.995 * [backup-simplify]: Simplify (/ 1 1) into 1 3.995 * [taylor]: Taking taylor expansion of 1.0 in x 3.995 * [backup-simplify]: Simplify 1.0 into 1.0 3.995 * [taylor]: Taking taylor expansion of x in x 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 1 into 1 3.995 * [backup-simplify]: Simplify (+ 1 0) into 1 3.995 * [backup-simplify]: Simplify (/ 1 1) into 1 3.995 * [backup-simplify]: Simplify (sqrt 1) into 1 3.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.996 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.997 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.998 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.998 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 3.998 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.998 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.998 * [taylor]: Taking taylor expansion of x in x 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify (/ 1 1) into 1 3.998 * [taylor]: Taking taylor expansion of 1.0 in x 3.998 * [backup-simplify]: Simplify 1.0 into 1.0 3.998 * [taylor]: Taking taylor expansion of x in x 3.998 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify 1 into 1 3.999 * [backup-simplify]: Simplify (+ 1 0) into 1 3.999 * [backup-simplify]: Simplify (/ 1 1) into 1 3.999 * [backup-simplify]: Simplify (sqrt 1) into 1 4.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.000 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.001 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.002 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 4.002 * [backup-simplify]: Simplify 1 into 1 4.002 * [backup-simplify]: Simplify 0.5 into 0.5 4.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (+ 0 0) into 0 4.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.005 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 4.005 * [backup-simplify]: Simplify -0.125 into -0.125 4.005 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.125 (/ 1 x)) 0.5) x) 4.005 * * * [progress]: simplifying candidates 4.005 * [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) 4.006 * * [simplify]: iteration 0: 51 enodes 4.021 * * [simplify]: iteration 1: 114 enodes 4.081 * * [simplify]: iteration 2: 263 enodes 4.198 * * [simplify]: iteration 3: 690 enodes 4.504 * * [simplify]: iteration 4: 2225 enodes 5.672 * * [simplify]: iteration complete: 5001 enodes 5.672 * * [simplify]: Extracting #0: cost 16 inf + 0 5.673 * * [simplify]: Extracting #1: cost 179 inf + 1 5.675 * * [simplify]: Extracting #2: cost 792 inf + 708 5.681 * * [simplify]: Extracting #3: cost 1279 inf + 21202 5.702 * * [simplify]: Extracting #4: cost 608 inf + 117306 5.739 * * [simplify]: Extracting #5: cost 187 inf + 210492 5.810 * * [simplify]: Extracting #6: cost 24 inf + 264473 5.868 * * [simplify]: Extracting #7: cost 16 inf + 269605 5.908 * * [simplify]: Extracting #8: cost 4 inf + 270913 5.951 * * [simplify]: Extracting #9: cost 0 inf + 271925 6.012 * [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)) 6.013 * * * [progress]: adding candidates to table 6.106 * [progress]: [Phase 3 of 3] Extracting. 6.106 * * [regime]: Finding splitpoints for: (# #) 6.108 * * * [regime-changes]: Trying 1 branch expressions: (x) 6.108 * * * * [regimes]: Trying to branch on x from (# #) 6.144 * * * [regime]: Found split indices: #