0.561 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.161 * * * [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 0.173 * * [simplify]: iteration 2: 10 enodes 0.174 * * [simplify]: iteration complete: 10 enodes 0.175 * * [simplify]: Extracting #0: cost 1 inf + 0 0.175 * * [simplify]: Extracting #1: cost 3 inf + 0 0.175 * * [simplify]: Extracting #2: cost 5 inf + 0 0.175 * * [simplify]: Extracting #3: cost 6 inf + 1 0.175 * * [simplify]: Extracting #4: cost 0 inf + 370 0.176 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.177 * * [progress]: iteration 1 / 4 0.177 * * * [progress]: picking best candidate 0.181 * * * * [pick]: Picked # 0.181 * * * [progress]: localizing error 0.197 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.247 * * * [progress]: generating series expansions 0.247 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.251 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* x (- x 1.0))) 0.251 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 0.252 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.252 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [backup-simplify]: Simplify 1.0 into 1.0 0.253 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.254 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.254 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.255 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 1 0) into 1 0.257 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.258 * [backup-simplify]: Simplify (sqrt 0) into 0 0.259 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.259 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.259 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [backup-simplify]: Simplify 1.0 into 1.0 0.260 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.260 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.260 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 1 0) into 1 0.262 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.263 * [backup-simplify]: Simplify (sqrt 0) into 0 0.264 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 0.268 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.268 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 0.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.275 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.276 * [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))))))) 0.276 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.276 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.276 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.276 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [backup-simplify]: Simplify 1.0 into 1.0 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (+ 1 0) into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [backup-simplify]: Simplify (sqrt 1) into 1 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.282 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.284 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.286 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.286 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.286 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [backup-simplify]: Simplify 1.0 into 1.0 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 0) into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [backup-simplify]: Simplify (sqrt 1) into 1 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.290 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.292 * [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 0.294 * [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 0.297 * [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 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [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 0.299 * [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 0.300 * [backup-simplify]: Simplify -1 into -1 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [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 0.302 * [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 0.304 * [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 0.307 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.307 * [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 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.310 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.312 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.314 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.314 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.323 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.324 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.335 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.335 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.336 * [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))))) 0.336 * * * [progress]: simplifying candidates 0.337 * [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))))) 0.337 * * [simplify]: iteration 0: 85 enodes 0.362 * * [simplify]: iteration 1: 198 enodes 0.428 * * [simplify]: iteration 2: 699 enodes 1.425 * * [simplify]: iteration 3: 3995 enodes 2.398 * * [simplify]: iteration complete: 5000 enodes 2.398 * * [simplify]: Extracting #0: cost 24 inf + 0 2.399 * * [simplify]: Extracting #1: cost 431 inf + 0 2.404 * * [simplify]: Extracting #2: cost 1158 inf + 5999 2.417 * * [simplify]: Extracting #3: cost 695 inf + 53996 2.473 * * [simplify]: Extracting #4: cost 252 inf + 114700 2.549 * * [simplify]: Extracting #5: cost 8 inf + 165241 2.629 * * [simplify]: Extracting #6: cost 0 inf + 167117 2.708 * [simplify]: Simplified to: (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* x (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt x)) (* x (- x 1.0)) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) (* (* x (sqrt (- x 1.0))) (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) (* (* x (sqrt (- x 1.0))) (sqrt x))) (* x (- x 1.0)) (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)) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (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 (* (- x 1.0) (+ x 1.0))) (sqrt x)) (* +nan.0 (fma x (fma x x (- x)) (- x))) (- (- x (/ 0.125 x)) 0.5) (- (fma (/ +nan.0 x) (/ -1 x) (/ +nan.0 x)) +nan.0) 2.711 * * * [progress]: adding candidates to table 2.879 * * [progress]: iteration 2 / 4 2.879 * * * [progress]: picking best candidate 2.884 * * * * [pick]: Picked # 2.884 * * * [progress]: localizing error 2.898 * * * [progress]: generating rewritten candidates 2.898 * * * [progress]: generating series expansions 2.898 * * * [progress]: simplifying candidates 2.898 * [simplify]: Simplifying: 2.898 * * [simplify]: iteration 0: 0 enodes 2.898 * * [simplify]: iteration complete: 0 enodes 2.898 * * [simplify]: Extracting #0: cost 0 inf + 0 2.898 * [simplify]: Simplified to: 2.898 * * * [progress]: adding candidates to table 2.899 * * [progress]: iteration 3 / 4 2.899 * * * [progress]: picking best candidate 2.903 * * * * [pick]: Picked # 2.903 * * * [progress]: localizing error 2.909 * * * [progress]: generating rewritten candidates 2.909 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.921 * * * [progress]: generating series expansions 2.921 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.921 * [backup-simplify]: Simplify (sqrt (* (- x 1.0) x)) into (sqrt (* x (- x 1.0))) 2.921 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 2.921 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 2.921 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 2.921 * [taylor]: Taking taylor expansion of x in x 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.921 * [taylor]: Taking taylor expansion of (- x 1.0) in x 2.921 * [taylor]: Taking taylor expansion of x in x 2.921 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 1 into 1 2.922 * [taylor]: Taking taylor expansion of 1.0 in x 2.922 * [backup-simplify]: Simplify 1.0 into 1.0 2.922 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.923 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.923 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 2.923 * [backup-simplify]: Simplify (- 0) into 0 2.924 * [backup-simplify]: Simplify (+ 1 0) into 1 2.925 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 2.925 * [backup-simplify]: Simplify (sqrt 0) into 0 2.927 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 2.927 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 2.927 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 2.927 * [taylor]: Taking taylor expansion of x in x 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify 1 into 1 2.927 * [taylor]: Taking taylor expansion of (- x 1.0) in x 2.927 * [taylor]: Taking taylor expansion of x in x 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify 1 into 1 2.927 * [taylor]: Taking taylor expansion of 1.0 in x 2.927 * [backup-simplify]: Simplify 1.0 into 1.0 2.927 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.928 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.928 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 2.928 * [backup-simplify]: Simplify (- 0) into 0 2.929 * [backup-simplify]: Simplify (+ 1 0) into 1 2.930 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 2.930 * [backup-simplify]: Simplify (sqrt 0) into 0 2.931 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.932 * [backup-simplify]: Simplify (- 0) into 0 2.932 * [backup-simplify]: Simplify (+ 0 0) into 0 2.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 2.935 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.935 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.935 * [backup-simplify]: Simplify (- 0) into 0 2.936 * [backup-simplify]: Simplify (+ 0 0) into 0 2.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 2.941 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.941 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.942 * [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))))))) 2.942 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1.0) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 2.942 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 2.942 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 2.942 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 2.942 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 2.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.942 * [taylor]: Taking taylor expansion of x in x 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.943 * [backup-simplify]: Simplify (/ 1 1) into 1 2.943 * [taylor]: Taking taylor expansion of 1.0 in x 2.943 * [backup-simplify]: Simplify 1.0 into 1.0 2.943 * [taylor]: Taking taylor expansion of x in x 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.943 * [backup-simplify]: Simplify (+ 1 0) into 1 2.944 * [backup-simplify]: Simplify (/ 1 1) into 1 2.944 * [backup-simplify]: Simplify (sqrt 1) into 1 2.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.945 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.946 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.949 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 2.951 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 2.951 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 2.951 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 2.951 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 2.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.951 * [taylor]: Taking taylor expansion of x in x 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 1 into 1 2.951 * [backup-simplify]: Simplify (/ 1 1) into 1 2.951 * [taylor]: Taking taylor expansion of 1.0 in x 2.951 * [backup-simplify]: Simplify 1.0 into 1.0 2.951 * [taylor]: Taking taylor expansion of x in x 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify (+ 1 0) into 1 2.952 * [backup-simplify]: Simplify (/ 1 1) into 1 2.953 * [backup-simplify]: Simplify (sqrt 1) into 1 2.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.954 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.955 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.957 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 2.959 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 2.959 * [backup-simplify]: Simplify 1 into 1 2.959 * [backup-simplify]: Simplify -0.5 into -0.5 2.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.961 * [backup-simplify]: Simplify (- 0) into 0 2.961 * [backup-simplify]: Simplify (+ 0 0) into 0 2.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 2.965 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 2.965 * [backup-simplify]: Simplify -0.125 into -0.125 2.965 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 2.966 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1.0) x)) 2.966 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in (x) around 0 2.966 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 2.966 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 2.966 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.966 * [taylor]: Taking taylor expansion of x in x 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [backup-simplify]: Simplify (/ 1 1) into 1 2.966 * [taylor]: Taking taylor expansion of 1.0 in x 2.966 * [backup-simplify]: Simplify 1.0 into 1.0 2.966 * [taylor]: Taking taylor expansion of x in x 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [backup-simplify]: Simplify (+ 1 0) into 1 2.967 * [backup-simplify]: Simplify (/ 1 1) into 1 2.967 * [backup-simplify]: Simplify (sqrt 1) into 1 2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.968 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.969 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 2.970 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 2.970 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 2.970 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 2.970 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.970 * [taylor]: Taking taylor expansion of x in x 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 1 into 1 2.970 * [backup-simplify]: Simplify (/ 1 1) into 1 2.970 * [taylor]: Taking taylor expansion of 1.0 in x 2.970 * [backup-simplify]: Simplify 1.0 into 1.0 2.970 * [taylor]: Taking taylor expansion of x in x 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 1 into 1 2.970 * [backup-simplify]: Simplify (+ 1 0) into 1 2.971 * [backup-simplify]: Simplify (/ 1 1) into 1 2.971 * [backup-simplify]: Simplify (sqrt 1) into 1 2.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.972 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.973 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 2.974 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify 0.5 into 0.5 2.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.975 * [backup-simplify]: Simplify (+ 0 0) into 0 2.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.977 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 2.977 * [backup-simplify]: Simplify -0.125 into -0.125 2.977 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.125 (/ 1 x)) 0.5) x) 2.977 * * * [progress]: simplifying candidates 2.978 * [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) 2.978 * * [simplify]: iteration 0: 53 enodes 2.988 * * [simplify]: iteration 1: 122 enodes 3.053 * * [simplify]: iteration 2: 388 enodes 3.502 * * [simplify]: iteration 3: 2109 enodes 6.926 * * [simplify]: iteration complete: 5000 enodes 6.926 * * [simplify]: Extracting #0: cost 18 inf + 0 6.927 * * [simplify]: Extracting #1: cost 251 inf + 1 6.935 * * [simplify]: Extracting #2: cost 664 inf + 4256 6.954 * * [simplify]: Extracting #3: cost 475 inf + 38606 6.983 * * [simplify]: Extracting #4: cost 168 inf + 69047 7.025 * * [simplify]: Extracting #5: cost 40 inf + 97188 7.061 * * [simplify]: Extracting #6: cost 19 inf + 103158 7.100 * * [simplify]: Extracting #7: cost 3 inf + 105518 7.140 * * [simplify]: Extracting #8: cost 0 inf + 106277 7.170 * [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 (+ 1.0 x) (* x x))) (sqrt (* (+ x 1.0) (* (- x 1.0) x))) (sqrt (+ x 1.0)) 1/2 1/2 (sqrt (sqrt (* (- x 1.0) x))) (sqrt (sqrt (* (- x 1.0) x))) (* +nan.0 (fma x (fma x x (- x)) (- x))) (- (- x (/ 0.125 x)) 0.5) (+ (/ 0.125 x) (- 0.5 x)) 7.170 * * * [progress]: adding candidates to table 7.221 * [progress]: [Phase 3 of 3] Extracting. 7.222 * * [regime]: Finding splitpoints for: (# #) 7.222 * * * [regime-changes]: Trying 1 branch expressions: (x) 7.223 * * * * [regimes]: Trying to branch on x from (# #) 7.260 * * * [regime]: Found split indices: #