0.470 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.160 * * * [progress]: [2/2] Setting up program. 0.165 * [progress]: [Phase 2 of 3] Improving. 0.167 * [simplify]: Simplifying: (* (sqrt (- x 1.0)) (sqrt x)) 0.168 * * [simplify]: iteration 0: 6 enodes 0.172 * * [simplify]: iteration 1: 9 enodes 0.174 * * [simplify]: iteration 2: 10 enodes 0.176 * * [simplify]: iteration complete: 10 enodes 0.177 * * [simplify]: Extracting #0: cost 1 inf + 0 0.177 * * [simplify]: Extracting #1: cost 3 inf + 0 0.177 * * [simplify]: Extracting #2: cost 5 inf + 0 0.177 * * [simplify]: Extracting #3: cost 6 inf + 1 0.177 * * [simplify]: Extracting #4: cost 0 inf + 370 0.177 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.179 * * [progress]: iteration 1 / 4 0.179 * * * [progress]: picking best candidate 0.183 * * * * [pick]: Picked # 0.183 * * * [progress]: localizing error 0.193 * * * [progress]: generating rewritten candidates 0.193 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.257 * * * [progress]: generating series expansions 0.258 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.263 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* x (- x 1.0))) 0.263 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 0.264 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.264 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [backup-simplify]: Simplify 1.0 into 1.0 0.265 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.266 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.266 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.269 * [backup-simplify]: Simplify (sqrt 0) into 0 0.270 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.270 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.270 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * [backup-simplify]: Simplify 1.0 into 1.0 0.270 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.271 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.271 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 1 0) into 1 0.273 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.273 * [backup-simplify]: Simplify (sqrt 0) into 0 0.274 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 0.279 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.279 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 0.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.283 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.283 * [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))))))) 0.284 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.284 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.284 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [taylor]: Taking taylor expansion of 1.0 in x 0.284 * [backup-simplify]: Simplify 1.0 into 1.0 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (+ 1 0) into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [backup-simplify]: Simplify (sqrt 1) into 1 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.287 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.288 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.289 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.289 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.289 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [backup-simplify]: Simplify 1.0 into 1.0 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (+ 1 0) into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [backup-simplify]: Simplify (sqrt 1) into 1 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.292 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.293 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.294 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify -0.5 into -0.5 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.298 * [backup-simplify]: Simplify -0.125 into -0.125 0.298 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 0.298 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) 0.298 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.298 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.298 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [taylor]: Taking taylor expansion of 1.0 in x 0.299 * [backup-simplify]: Simplify 1.0 into 1.0 0.299 * [backup-simplify]: Simplify (+ 1 0) into 1 0.299 * [backup-simplify]: Simplify (- 1) into -1 0.299 * [backup-simplify]: Simplify (sqrt 0) into 0 0.300 * [backup-simplify]: Simplify (- 1) into -1 0.300 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.300 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.300 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.300 * [taylor]: Taking taylor expansion of -1 in x 0.301 * [backup-simplify]: Simplify -1 into -1 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (/ -1 1) into -1 0.301 * [backup-simplify]: Simplify (sqrt 0) into 0 0.302 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.302 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.302 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.302 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [backup-simplify]: Simplify 1.0 into 1.0 0.303 * [backup-simplify]: Simplify (+ 1 0) into 1 0.303 * [backup-simplify]: Simplify (- 1) into -1 0.303 * [backup-simplify]: Simplify (sqrt 0) into 0 0.303 * [backup-simplify]: Simplify (- 1) into -1 0.304 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.304 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.304 * [taylor]: Taking taylor expansion of -1 in x 0.304 * [backup-simplify]: Simplify -1 into -1 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (/ -1 1) into -1 0.305 * [backup-simplify]: Simplify (sqrt 0) into 0 0.306 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.306 * [backup-simplify]: Simplify (* 0 0) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.310 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.313 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.316 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.316 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.330 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.331 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.348 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.348 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.350 * [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))))) 0.350 * * * [progress]: simplifying candidates 0.351 * [simplify]: Simplifying: (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* (- 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))))) 0.353 * * [simplify]: iteration 0: 85 enodes 0.393 * * [simplify]: iteration 1: 198 enodes 0.469 * * [simplify]: iteration 2: 511 enodes 0.692 * * [simplify]: iteration 3: 1427 enodes 2.061 * * [simplify]: iteration 4: 4954 enodes 3.275 * * [simplify]: iteration complete: 5000 enodes 3.275 * * [simplify]: Extracting #0: cost 24 inf + 0 3.276 * * [simplify]: Extracting #1: cost 324 inf + 0 3.279 * * [simplify]: Extracting #2: cost 1070 inf + 645 3.289 * * [simplify]: Extracting #3: cost 971 inf + 34191 3.330 * * [simplify]: Extracting #4: cost 362 inf + 121775 3.391 * * [simplify]: Extracting #5: cost 45 inf + 185649 3.476 * * [simplify]: Extracting #6: cost 11 inf + 194423 3.559 * * [simplify]: Extracting #7: cost 0 inf + 198923 3.633 * [simplify]: Simplified to: (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* (- 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))) (* x (sqrt 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))) (* x (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)))) (* (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 1.0)) (* (sqrt x) (cbrt (sqrt (- x 1.0)))) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt x) (sqrt (sqrt (- x 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (sqrt (- x 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (- (* x (* x x)) (* (* 1.0 1.0) 1.0)))) (* (sqrt (* (+ 1.0 x) (- x 1.0))) (sqrt x)) (- (* +nan.0 (* x (- (* x x) x))) (* +nan.0 x)) (- x (+ 0.5 (/ 0.125 x))) (fma (/ +nan.0 x) (/ -1 x) (- (/ +nan.0 x) +nan.0)) 3.635 * * * [progress]: adding candidates to table 3.800 * * [progress]: iteration 2 / 4 3.800 * * * [progress]: picking best candidate 3.805 * * * * [pick]: Picked # 3.805 * * * [progress]: localizing error 3.812 * * * [progress]: generating rewritten candidates 3.812 * * * [progress]: generating series expansions 3.812 * * * [progress]: simplifying candidates 3.812 * [simplify]: Simplifying: 3.812 * * [simplify]: iteration 0: 0 enodes 3.812 * * [simplify]: iteration complete: 0 enodes 3.812 * * [simplify]: Extracting #0: cost 0 inf + 0 3.812 * [simplify]: Simplified to: 3.812 * * * [progress]: adding candidates to table 3.812 * * [progress]: iteration 3 / 4 3.812 * * * [progress]: picking best candidate 3.815 * * * * [pick]: Picked # 3.815 * * * [progress]: localizing error 3.822 * * * [progress]: generating rewritten candidates 3.822 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.830 * * * [progress]: generating series expansions 3.830 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.830 * [backup-simplify]: Simplify (sqrt (* (- x 1.0) x)) into (sqrt (* x (- x 1.0))) 3.830 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 3.830 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 3.830 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.830 * [taylor]: Taking taylor expansion of x in x 3.830 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify 1 into 1 3.831 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.831 * [taylor]: Taking taylor expansion of x in x 3.831 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify 1 into 1 3.831 * [taylor]: Taking taylor expansion of 1.0 in x 3.831 * [backup-simplify]: Simplify 1.0 into 1.0 3.831 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.832 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.832 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.832 * [backup-simplify]: Simplify (- 0) into 0 3.832 * [backup-simplify]: Simplify (+ 1 0) into 1 3.834 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.834 * [backup-simplify]: Simplify (sqrt 0) into 0 3.835 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.835 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 3.835 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.835 * [taylor]: Taking taylor expansion of x in x 3.835 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify 1 into 1 3.835 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.835 * [taylor]: Taking taylor expansion of x in x 3.835 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify 1 into 1 3.835 * [taylor]: Taking taylor expansion of 1.0 in x 3.835 * [backup-simplify]: Simplify 1.0 into 1.0 3.836 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.836 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.836 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.837 * [backup-simplify]: Simplify (- 0) into 0 3.837 * [backup-simplify]: Simplify (+ 1 0) into 1 3.839 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.839 * [backup-simplify]: Simplify (sqrt 0) into 0 3.840 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.840 * [backup-simplify]: Simplify 0 into 0 3.840 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.840 * [backup-simplify]: Simplify (- 0) into 0 3.841 * [backup-simplify]: Simplify (+ 0 0) into 0 3.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 3.843 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.843 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.843 * [backup-simplify]: Simplify (- 0) into 0 3.844 * [backup-simplify]: Simplify (+ 0 0) into 0 3.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 3.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.847 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.847 * [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))))))) 3.847 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1.0) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 3.847 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 3.847 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.847 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.847 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.847 * [taylor]: Taking taylor expansion of x in x 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify 1 into 1 3.847 * [backup-simplify]: Simplify (/ 1 1) into 1 3.847 * [taylor]: Taking taylor expansion of 1.0 in x 3.847 * [backup-simplify]: Simplify 1.0 into 1.0 3.848 * [taylor]: Taking taylor expansion of x in x 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.848 * [backup-simplify]: Simplify (+ 1 0) into 1 3.848 * [backup-simplify]: Simplify (/ 1 1) into 1 3.848 * [backup-simplify]: Simplify (sqrt 1) into 1 3.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.849 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.849 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.851 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.852 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.852 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.852 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.852 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.852 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.852 * [taylor]: Taking taylor expansion of x in x 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 1 into 1 3.852 * [backup-simplify]: Simplify (/ 1 1) into 1 3.852 * [taylor]: Taking taylor expansion of 1.0 in x 3.852 * [backup-simplify]: Simplify 1.0 into 1.0 3.852 * [taylor]: Taking taylor expansion of x in x 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 1 into 1 3.853 * [backup-simplify]: Simplify (+ 1 0) into 1 3.853 * [backup-simplify]: Simplify (/ 1 1) into 1 3.853 * [backup-simplify]: Simplify (sqrt 1) into 1 3.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.854 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.854 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.856 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.857 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.857 * [backup-simplify]: Simplify 1 into 1 3.857 * [backup-simplify]: Simplify -0.5 into -0.5 3.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.858 * [backup-simplify]: Simplify (- 0) into 0 3.858 * [backup-simplify]: Simplify (+ 0 0) into 0 3.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 3.860 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.860 * [backup-simplify]: Simplify -0.125 into -0.125 3.860 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 3.861 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1.0) x)) 3.861 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in (x) around 0 3.861 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 3.861 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.861 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.861 * [taylor]: Taking taylor expansion of x in x 3.861 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify 1 into 1 3.861 * [backup-simplify]: Simplify (/ 1 1) into 1 3.861 * [taylor]: Taking taylor expansion of 1.0 in x 3.861 * [backup-simplify]: Simplify 1.0 into 1.0 3.861 * [taylor]: Taking taylor expansion of x in x 3.861 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify 1 into 1 3.861 * [backup-simplify]: Simplify (+ 1 0) into 1 3.862 * [backup-simplify]: Simplify (/ 1 1) into 1 3.862 * [backup-simplify]: Simplify (sqrt 1) into 1 3.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.864 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.864 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.864 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 3.865 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.865 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.865 * [taylor]: Taking taylor expansion of x in x 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.865 * [backup-simplify]: Simplify (/ 1 1) into 1 3.865 * [taylor]: Taking taylor expansion of 1.0 in x 3.865 * [backup-simplify]: Simplify 1.0 into 1.0 3.865 * [taylor]: Taking taylor expansion of x in x 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.865 * [backup-simplify]: Simplify (+ 1 0) into 1 3.865 * [backup-simplify]: Simplify (/ 1 1) into 1 3.866 * [backup-simplify]: Simplify (sqrt 1) into 1 3.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.866 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.871 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.872 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify 0.5 into 0.5 3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (+ 0 0) into 0 3.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.876 * [backup-simplify]: Simplify -0.125 into -0.125 3.876 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.125 (/ 1 x)) 0.5) x) 3.876 * * * [progress]: simplifying candidates 3.876 * [simplify]: Simplifying: (expm1 (sqrt (* (- x 1.0) x))) (log1p (sqrt (* (- x 1.0) x))) (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) 3.877 * * [simplify]: iteration 0: 53 enodes 3.900 * * [simplify]: iteration 1: 122 enodes 3.952 * * [simplify]: iteration 2: 282 enodes 4.058 * * [simplify]: iteration 3: 818 enodes 4.683 * * [simplify]: iteration 4: 2740 enodes 8.459 * * [simplify]: iteration complete: 5000 enodes 8.460 * * [simplify]: Extracting #0: cost 18 inf + 0 8.460 * * [simplify]: Extracting #1: cost 135 inf + 1 8.462 * * [simplify]: Extracting #2: cost 369 inf + 1504 8.470 * * [simplify]: Extracting #3: cost 354 inf + 19483 8.501 * * [simplify]: Extracting #4: cost 124 inf + 68487 8.527 * * [simplify]: Extracting #5: cost 23 inf + 102151 8.551 * * [simplify]: Extracting #6: cost 24 inf + 105297 8.573 * * [simplify]: Extracting #7: cost 6 inf + 107319 8.610 * * [simplify]: Extracting #8: cost 0 inf + 108837 8.639 * [simplify]: Simplified to: (expm1 (sqrt (* (- x 1.0) x))) (log1p (sqrt (* (- x 1.0) x))) (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))) (* (* (- x 1.0) x) (sqrt (* (- x 1.0) x))) (sqrt (- x 1.0)) (sqrt x) (sqrt (* (- (* x (* x x)) (* 1.0 (* 1.0 1.0))) x)) (sqrt (fma 1.0 (+ x 1.0) (* x x))) (sqrt (* (* (- x 1.0) x) (+ 1.0 x))) (sqrt (+ 1.0 x)) 1/2 1/2 (sqrt (sqrt (* (- x 1.0) x))) (sqrt (sqrt (* (- x 1.0) x))) (* +nan.0 (fma x (fma x x (- x)) (- x))) (- (- x (/ 0.125 x)) 0.5) (- (/ 0.125 x) (- x 0.5)) 8.641 * * * [progress]: adding candidates to table 8.710 * [progress]: [Phase 3 of 3] Extracting. 8.710 * * [regime]: Finding splitpoints for: (# #) 8.711 * * * [regime-changes]: Trying 1 branch expressions: (x) 8.711 * * * * [regimes]: Trying to branch on x from (# #) 8.741 * * * [regime]: Found split indices: #