1.288 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.140 * * * [progress]: [2/2] Setting up program. 0.145 * [progress]: [Phase 2 of 3] Improving. 0.147 * [simplify]: Simplifying: (* (sqrt (- x 1.0)) (sqrt x)) 0.148 * * [simplify]: iteration 0: 6 enodes 0.153 * * [simplify]: iteration 1: 9 enodes 0.155 * * [simplify]: iteration 2: 10 enodes 0.156 * * [simplify]: iteration complete: 10 enodes 0.157 * * [simplify]: Extracting #0: cost 1 inf + 0 0.157 * * [simplify]: Extracting #1: cost 3 inf + 0 0.157 * * [simplify]: Extracting #2: cost 5 inf + 0 0.157 * * [simplify]: Extracting #3: cost 6 inf + 1 0.158 * * [simplify]: Extracting #4: cost 0 inf + 370 0.158 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.159 * * [progress]: iteration 1 / 4 0.159 * * * [progress]: picking best candidate 0.164 * * * * [pick]: Picked # 0.164 * * * [progress]: localizing error 0.203 * * * [progress]: generating rewritten candidates 0.204 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.231 * * * [progress]: generating series expansions 0.232 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.236 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* x (- x 1.0))) 0.236 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 0.237 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.237 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [backup-simplify]: Simplify 1.0 into 1.0 0.238 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.239 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.239 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ 1 0) into 1 0.241 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.241 * [backup-simplify]: Simplify (sqrt 0) into 0 0.242 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.242 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.242 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [backup-simplify]: Simplify 1.0 into 1.0 0.243 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.243 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.244 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify (+ 1 0) into 1 0.245 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.246 * [backup-simplify]: Simplify (sqrt 0) into 0 0.247 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 0.252 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.252 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.253 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 0.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.256 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.257 * [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))))))) 0.257 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.258 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.258 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.258 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [taylor]: Taking taylor expansion of 1.0 in x 0.258 * [backup-simplify]: Simplify 1.0 into 1.0 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [backup-simplify]: Simplify (sqrt 1) into 1 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.261 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.262 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.263 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.263 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.263 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [backup-simplify]: Simplify 1.0 into 1.0 0.264 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (sqrt 1) into 1 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.266 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.267 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.268 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify -0.5 into -0.5 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.272 * [backup-simplify]: Simplify -0.125 into -0.125 0.272 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 0.272 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) 0.272 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in (x) around 0 0.272 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.272 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.272 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [taylor]: Taking taylor expansion of 1.0 in x 0.273 * [backup-simplify]: Simplify 1.0 into 1.0 0.273 * [backup-simplify]: Simplify (+ 1 0) into 1 0.281 * [backup-simplify]: Simplify (- 1) into -1 0.282 * [backup-simplify]: Simplify (sqrt 0) into 0 0.282 * [backup-simplify]: Simplify (- 1) into -1 0.283 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.283 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.283 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [backup-simplify]: Simplify -1 into -1 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ -1 1) into -1 0.284 * [backup-simplify]: Simplify (sqrt 0) into 0 0.285 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.285 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.285 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.285 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [taylor]: Taking taylor expansion of 1.0 in x 0.285 * [backup-simplify]: Simplify 1.0 into 1.0 0.285 * [backup-simplify]: Simplify (+ 1 0) into 1 0.286 * [backup-simplify]: Simplify (- 1) into -1 0.286 * [backup-simplify]: Simplify (sqrt 0) into 0 0.286 * [backup-simplify]: Simplify (- 1) into -1 0.287 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.287 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.287 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.287 * [taylor]: Taking taylor expansion of -1 in x 0.287 * [backup-simplify]: Simplify -1 into -1 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ -1 1) into -1 0.288 * [backup-simplify]: Simplify (sqrt 0) into 0 0.288 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.289 * [backup-simplify]: Simplify (* 0 0) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.293 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.295 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.297 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.297 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.307 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.307 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.318 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.319 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.320 * [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))))) 0.320 * * * [progress]: simplifying candidates 0.321 * [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))))) 0.321 * * [simplify]: iteration 0: 85 enodes 0.341 * * [simplify]: iteration 1: 198 enodes 0.642 * * [simplify]: iteration 2: 511 enodes 0.973 * * [simplify]: iteration 3: 1427 enodes 2.426 * * [simplify]: iteration 4: 4954 enodes 3.827 * * [simplify]: iteration complete: 5000 enodes 3.828 * * [simplify]: Extracting #0: cost 24 inf + 0 3.829 * * [simplify]: Extracting #1: cost 324 inf + 0 3.835 * * [simplify]: Extracting #2: cost 1070 inf + 645 3.853 * * [simplify]: Extracting #3: cost 971 inf + 34191 3.893 * * [simplify]: Extracting #4: cost 362 inf + 121775 3.945 * * [simplify]: Extracting #5: cost 45 inf + 185649 4.006 * * [simplify]: Extracting #6: cost 11 inf + 194423 4.063 * * [simplify]: Extracting #7: cost 0 inf + 198923 4.115 * [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)) 4.117 * * * [progress]: adding candidates to table 4.273 * * [progress]: iteration 2 / 4 4.273 * * * [progress]: picking best candidate 4.284 * * * * [pick]: Picked # 4.284 * * * [progress]: localizing error 4.292 * * * [progress]: generating rewritten candidates 4.292 * * * [progress]: generating series expansions 4.292 * * * [progress]: simplifying candidates 4.293 * [simplify]: Simplifying: 4.293 * * [simplify]: iteration 0: 0 enodes 4.293 * * [simplify]: iteration complete: 0 enodes 4.293 * * [simplify]: Extracting #0: cost 0 inf + 0 4.293 * [simplify]: Simplified to: 4.293 * * * [progress]: adding candidates to table 4.293 * * [progress]: iteration 3 / 4 4.293 * * * [progress]: picking best candidate 4.296 * * * * [pick]: Picked # 4.296 * * * [progress]: localizing error 4.302 * * * [progress]: generating rewritten candidates 4.302 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.310 * * * [progress]: generating series expansions 4.310 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.311 * [backup-simplify]: Simplify (sqrt (* (- x 1.0) x)) into (sqrt (* x (- x 1.0))) 4.311 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 4.311 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 4.311 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 4.311 * [taylor]: Taking taylor expansion of x in x 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 1 into 1 4.311 * [taylor]: Taking taylor expansion of (- x 1.0) in x 4.311 * [taylor]: Taking taylor expansion of x in x 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 1 into 1 4.311 * [taylor]: Taking taylor expansion of 1.0 in x 4.311 * [backup-simplify]: Simplify 1.0 into 1.0 4.311 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.312 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.312 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 4.312 * [backup-simplify]: Simplify (- 0) into 0 4.313 * [backup-simplify]: Simplify (+ 1 0) into 1 4.314 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 4.314 * [backup-simplify]: Simplify (sqrt 0) into 0 4.315 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 4.315 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 4.315 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 4.315 * [taylor]: Taking taylor expansion of x in x 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 1 into 1 4.315 * [taylor]: Taking taylor expansion of (- x 1.0) in x 4.315 * [taylor]: Taking taylor expansion of x in x 4.315 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify 1 into 1 4.316 * [taylor]: Taking taylor expansion of 1.0 in x 4.316 * [backup-simplify]: Simplify 1.0 into 1.0 4.316 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.316 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.322 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 4.322 * [backup-simplify]: Simplify (- 0) into 0 4.323 * [backup-simplify]: Simplify (+ 1 0) into 1 4.325 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 4.326 * [backup-simplify]: Simplify (sqrt 0) into 0 4.328 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.329 * [backup-simplify]: Simplify (- 0) into 0 4.329 * [backup-simplify]: Simplify (+ 0 0) into 0 4.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 4.334 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.334 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.334 * [backup-simplify]: Simplify (- 0) into 0 4.335 * [backup-simplify]: Simplify (+ 0 0) into 0 4.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 4.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.339 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.339 * [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))))))) 4.339 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1.0) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 4.339 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 4.339 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 4.339 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 4.339 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 4.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.339 * [taylor]: Taking taylor expansion of x in x 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (/ 1 1) into 1 4.339 * [taylor]: Taking taylor expansion of 1.0 in x 4.340 * [backup-simplify]: Simplify 1.0 into 1.0 4.340 * [taylor]: Taking taylor expansion of x in x 4.340 * [backup-simplify]: Simplify 0 into 0 4.340 * [backup-simplify]: Simplify 1 into 1 4.340 * [backup-simplify]: Simplify (+ 1 0) into 1 4.340 * [backup-simplify]: Simplify (/ 1 1) into 1 4.340 * [backup-simplify]: Simplify (sqrt 1) into 1 4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.341 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.341 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.343 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 4.344 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 4.344 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 4.344 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 4.344 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 4.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.344 * [taylor]: Taking taylor expansion of x in x 4.344 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify 1 into 1 4.344 * [backup-simplify]: Simplify (/ 1 1) into 1 4.344 * [taylor]: Taking taylor expansion of 1.0 in x 4.344 * [backup-simplify]: Simplify 1.0 into 1.0 4.344 * [taylor]: Taking taylor expansion of x in x 4.344 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify 1 into 1 4.345 * [backup-simplify]: Simplify (+ 1 0) into 1 4.345 * [backup-simplify]: Simplify (/ 1 1) into 1 4.345 * [backup-simplify]: Simplify (sqrt 1) into 1 4.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.346 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.346 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.348 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 4.349 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 4.349 * [backup-simplify]: Simplify 1 into 1 4.349 * [backup-simplify]: Simplify -0.5 into -0.5 4.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.350 * [backup-simplify]: Simplify (- 0) into 0 4.350 * [backup-simplify]: Simplify (+ 0 0) into 0 4.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 4.352 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 4.352 * [backup-simplify]: Simplify -0.125 into -0.125 4.353 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 4.353 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1.0) x)) 4.353 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in (x) around 0 4.353 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 4.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 4.353 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 4.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.353 * [taylor]: Taking taylor expansion of x in x 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify 1 into 1 4.353 * [backup-simplify]: Simplify (/ 1 1) into 1 4.353 * [taylor]: Taking taylor expansion of 1.0 in x 4.353 * [backup-simplify]: Simplify 1.0 into 1.0 4.353 * [taylor]: Taking taylor expansion of x in x 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify 1 into 1 4.353 * [backup-simplify]: Simplify (+ 1 0) into 1 4.354 * [backup-simplify]: Simplify (/ 1 1) into 1 4.354 * [backup-simplify]: Simplify (sqrt 1) into 1 4.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.355 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.356 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.357 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 4.357 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 4.357 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 4.357 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 4.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.357 * [taylor]: Taking taylor expansion of x in x 4.357 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify 1 into 1 4.357 * [backup-simplify]: Simplify (/ 1 1) into 1 4.357 * [taylor]: Taking taylor expansion of 1.0 in x 4.357 * [backup-simplify]: Simplify 1.0 into 1.0 4.357 * [taylor]: Taking taylor expansion of x in x 4.357 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify 1 into 1 4.357 * [backup-simplify]: Simplify (+ 1 0) into 1 4.358 * [backup-simplify]: Simplify (/ 1 1) into 1 4.358 * [backup-simplify]: Simplify (sqrt 1) into 1 4.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.358 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.360 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.360 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 4.360 * [backup-simplify]: Simplify 1 into 1 4.361 * [backup-simplify]: Simplify 0.5 into 0.5 4.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.361 * [backup-simplify]: Simplify (+ 0 0) into 0 4.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.364 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 4.364 * [backup-simplify]: Simplify -0.125 into -0.125 4.364 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.125 (/ 1 x)) 0.5) x) 4.364 * * * [progress]: simplifying candidates 4.364 * [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) 4.365 * * [simplify]: iteration 0: 53 enodes 4.376 * * [simplify]: iteration 1: 122 enodes 4.422 * * [simplify]: iteration 2: 282 enodes 4.564 * * [simplify]: iteration 3: 818 enodes 5.232 * * [simplify]: iteration 4: 2740 enodes 9.314 * * [simplify]: iteration complete: 5000 enodes 9.314 * * [simplify]: Extracting #0: cost 18 inf + 0 9.314 * * [simplify]: Extracting #1: cost 135 inf + 1 9.317 * * [simplify]: Extracting #2: cost 369 inf + 1504 9.324 * * [simplify]: Extracting #3: cost 354 inf + 19483 9.360 * * [simplify]: Extracting #4: cost 124 inf + 68487 9.383 * * [simplify]: Extracting #5: cost 23 inf + 102151 9.424 * * [simplify]: Extracting #6: cost 24 inf + 105297 9.462 * * [simplify]: Extracting #7: cost 6 inf + 107319 9.499 * * [simplify]: Extracting #8: cost 0 inf + 108837 9.529 * [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)) 9.530 * * * [progress]: adding candidates to table 9.639 * [progress]: [Phase 3 of 3] Extracting. 9.639 * * [regime]: Finding splitpoints for: (# #) 9.640 * * * [regime-changes]: Trying 1 branch expressions: (x) 9.641 * * * * [regimes]: Trying to branch on x from (# #) 9.688 * * * [regime]: Found split indices: #