1.129 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [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 0.175 * * [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 0.176 * * [simplify]: Extracting #3: cost 6 inf + 1 0.176 * * [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 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.249 * * * [progress]: generating series expansions 0.249 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.253 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* x (- x 1.0))) 0.253 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 0.254 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.254 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [taylor]: Taking taylor expansion of 1.0 in x 0.254 * [backup-simplify]: Simplify 1.0 into 1.0 0.255 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.256 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.257 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 1 0) into 1 0.258 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.259 * [backup-simplify]: Simplify (sqrt 0) into 0 0.260 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.260 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.260 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of 1.0 in x 0.260 * [backup-simplify]: Simplify 1.0 into 1.0 0.260 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.261 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.261 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ 1 0) into 1 0.263 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.263 * [backup-simplify]: Simplify (sqrt 0) into 0 0.265 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 0.270 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.271 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [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 0.274 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.275 * [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))))))) 0.275 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.275 * [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 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [taylor]: Taking taylor expansion of 1.0 in x 0.276 * [backup-simplify]: Simplify 1.0 into 1.0 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (+ 1 0) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [backup-simplify]: Simplify (sqrt 1) into 1 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.279 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.280 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.281 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.281 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.281 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.282 * [backup-simplify]: Simplify 1.0 into 1.0 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (+ 1 0) into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [backup-simplify]: Simplify (sqrt 1) into 1 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.284 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.285 * [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 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify -0.5 into -0.5 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.290 * [backup-simplify]: Simplify -0.125 into -0.125 0.290 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 0.290 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) 0.290 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in (x) around 0 0.290 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.290 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.290 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 1) into 1 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [backup-simplify]: Simplify 1.0 into 1.0 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.291 * [backup-simplify]: Simplify (- 1) into -1 0.291 * [backup-simplify]: Simplify (sqrt 0) into 0 0.291 * [backup-simplify]: Simplify (- 1) into -1 0.292 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.292 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.292 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.292 * [taylor]: Taking taylor expansion of -1 in x 0.292 * [backup-simplify]: Simplify -1 into -1 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ -1 1) into -1 0.293 * [backup-simplify]: Simplify (sqrt 0) into 0 0.301 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.301 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.301 * [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 0.302 * [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 0.304 * [backup-simplify]: Simplify (sqrt 0) into 0 0.305 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.305 * [backup-simplify]: Simplify (* 0 0) into 0 0.305 * [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 0.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.308 * [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 0.309 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.312 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.313 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.313 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.322 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.323 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.333 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.333 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.334 * [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))))) 0.334 * * * [progress]: simplifying candidates 0.335 * [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))))) 0.336 * * [simplify]: iteration 0: 83 enodes 0.354 * * [simplify]: iteration 1: 190 enodes 0.414 * * [simplify]: iteration 2: 687 enodes 1.511 * * [simplify]: iteration 3: 3837 enodes 3.382 * * [simplify]: iteration complete: 5000 enodes 3.383 * * [simplify]: Extracting #0: cost 22 inf + 0 3.383 * * [simplify]: Extracting #1: cost 307 inf + 0 3.386 * * [simplify]: Extracting #2: cost 1136 inf + 1117 3.399 * * [simplify]: Extracting #3: cost 834 inf + 40891 3.428 * * [simplify]: Extracting #4: cost 350 inf + 105881 3.458 * * [simplify]: Extracting #5: cost 149 inf + 151623 3.514 * * [simplify]: Extracting #6: cost 39 inf + 176646 3.560 * * [simplify]: Extracting #7: cost 18 inf + 183557 3.604 * * [simplify]: Extracting #8: cost 6 inf + 184905 3.643 * * [simplify]: Extracting #9: cost 0 inf + 186423 3.685 * [simplify]: Simplified to: (* x (- x 1.0)) (* (sqrt x) (sqrt (- x 1.0))) (* x (- x 1.0)) (log (* (sqrt x) (sqrt (- x 1.0)))) (log (* (sqrt x) (sqrt (- x 1.0)))) (exp (* (sqrt x) (sqrt (- x 1.0)))) (* (* (sqrt x) (- x 1.0)) (* (sqrt (- x 1.0)) x)) (* (cbrt (* (sqrt x) (sqrt (- x 1.0)))) (cbrt (* (sqrt x) (sqrt (- x 1.0))))) (cbrt (* (sqrt x) (sqrt (- x 1.0)))) (* (* (sqrt x) (- x 1.0)) (* (sqrt (- x 1.0)) x)) (* x (- x 1.0)) (sqrt (* (sqrt x) (sqrt (- x 1.0)))) (sqrt (* (sqrt x) (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 (sqrt (- x 1.0)))) (* (* (cbrt (sqrt x)) (sqrt (- x 1.0))) (cbrt (sqrt x))) (* (sqrt (- x 1.0)) (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) (cbrt (sqrt (- x 1.0)))) (* (sqrt x) (sqrt (cbrt (- x 1.0)))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt x) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt (- (* x (* x x)) (* 1.0 (* 1.0 1.0)))) (sqrt x)) (* (sqrt (* (- x 1.0) (+ x 1.0))) (sqrt x)) (- (* (* x x) (- (* x +nan.0) +nan.0)) (* x +nan.0)) (- x (+ 0.5 (/ 0.125 x))) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) 3.686 * * * [progress]: adding candidates to table 3.835 * * [progress]: iteration 2 / 4 3.835 * * * [progress]: picking best candidate 3.840 * * * * [pick]: Picked # 3.840 * * * [progress]: localizing error 3.849 * * * [progress]: generating rewritten candidates 3.849 * * * [progress]: generating series expansions 3.849 * * * [progress]: simplifying candidates 3.849 * [simplify]: Simplifying: 3.849 * * [simplify]: iteration 0: 0 enodes 3.849 * * [simplify]: iteration complete: 0 enodes 3.849 * * [simplify]: Extracting #0: cost 0 inf + 0 3.849 * [simplify]: Simplified to: 3.849 * * * [progress]: adding candidates to table 3.850 * * [progress]: iteration 3 / 4 3.850 * * * [progress]: picking best candidate 3.856 * * * * [pick]: Picked # 3.856 * * * [progress]: localizing error 3.869 * * * [progress]: generating rewritten candidates 3.869 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.882 * * * [progress]: generating series expansions 3.882 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.883 * [backup-simplify]: Simplify (sqrt (* (- x 1.0) x)) into (sqrt (* x (- x 1.0))) 3.883 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 3.883 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 3.883 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.883 * [taylor]: Taking taylor expansion of x in x 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.883 * [taylor]: Taking taylor expansion of x in x 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [taylor]: Taking taylor expansion of 1.0 in x 3.883 * [backup-simplify]: Simplify 1.0 into 1.0 3.884 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.885 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.885 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.885 * [backup-simplify]: Simplify (- 0) into 0 3.886 * [backup-simplify]: Simplify (+ 1 0) into 1 3.888 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.889 * [backup-simplify]: Simplify (sqrt 0) into 0 3.891 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.891 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 3.891 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.891 * [taylor]: Taking taylor expansion of x in x 3.891 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify 1 into 1 3.891 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.891 * [taylor]: Taking taylor expansion of x in x 3.891 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify 1 into 1 3.891 * [taylor]: Taking taylor expansion of 1.0 in x 3.891 * [backup-simplify]: Simplify 1.0 into 1.0 3.891 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.892 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.893 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.893 * [backup-simplify]: Simplify (- 0) into 0 3.894 * [backup-simplify]: Simplify (+ 1 0) into 1 3.896 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.896 * [backup-simplify]: Simplify (sqrt 0) into 0 3.898 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.899 * [backup-simplify]: Simplify (- 0) into 0 3.899 * [backup-simplify]: Simplify (+ 0 0) into 0 3.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 3.904 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.904 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.904 * [backup-simplify]: Simplify (- 0) into 0 3.905 * [backup-simplify]: Simplify (+ 0 0) into 0 3.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 3.910 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.910 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.911 * [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))))))) 3.911 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1.0) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 3.911 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 3.911 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.911 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.911 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.911 * [taylor]: Taking taylor expansion of x in x 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify 1 into 1 3.912 * [backup-simplify]: Simplify (/ 1 1) into 1 3.912 * [taylor]: Taking taylor expansion of 1.0 in x 3.912 * [backup-simplify]: Simplify 1.0 into 1.0 3.912 * [taylor]: Taking taylor expansion of x in x 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify 1 into 1 3.912 * [backup-simplify]: Simplify (+ 1 0) into 1 3.913 * [backup-simplify]: Simplify (/ 1 1) into 1 3.913 * [backup-simplify]: Simplify (sqrt 1) into 1 3.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.915 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.918 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.920 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.920 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.920 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.920 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.920 * [taylor]: Taking taylor expansion of x in x 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.920 * [backup-simplify]: Simplify (/ 1 1) into 1 3.920 * [taylor]: Taking taylor expansion of 1.0 in x 3.920 * [backup-simplify]: Simplify 1.0 into 1.0 3.920 * [taylor]: Taking taylor expansion of x in x 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.921 * [backup-simplify]: Simplify (+ 1 0) into 1 3.921 * [backup-simplify]: Simplify (/ 1 1) into 1 3.922 * [backup-simplify]: Simplify (sqrt 1) into 1 3.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.923 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.924 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.926 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.927 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.927 * [backup-simplify]: Simplify 1 into 1 3.927 * [backup-simplify]: Simplify -0.5 into -0.5 3.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.928 * [backup-simplify]: Simplify (- 0) into 0 3.928 * [backup-simplify]: Simplify (+ 0 0) into 0 3.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 3.930 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.930 * [backup-simplify]: Simplify -0.125 into -0.125 3.930 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 3.930 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1.0) x)) 3.931 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in (x) around 0 3.931 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 3.931 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.931 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.931 * [taylor]: Taking taylor expansion of x in x 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify (/ 1 1) into 1 3.931 * [taylor]: Taking taylor expansion of 1.0 in x 3.931 * [backup-simplify]: Simplify 1.0 into 1.0 3.931 * [taylor]: Taking taylor expansion of x in x 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify (+ 1 0) into 1 3.932 * [backup-simplify]: Simplify (/ 1 1) into 1 3.932 * [backup-simplify]: Simplify (sqrt 1) into 1 3.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.933 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.934 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.934 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.934 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 3.934 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.934 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.935 * [taylor]: Taking taylor expansion of x in x 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify 1 into 1 3.935 * [backup-simplify]: Simplify (/ 1 1) into 1 3.935 * [taylor]: Taking taylor expansion of 1.0 in x 3.935 * [backup-simplify]: Simplify 1.0 into 1.0 3.935 * [taylor]: Taking taylor expansion of x in x 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify 1 into 1 3.935 * [backup-simplify]: Simplify (+ 1 0) into 1 3.935 * [backup-simplify]: Simplify (/ 1 1) into 1 3.936 * [backup-simplify]: Simplify (sqrt 1) into 1 3.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.938 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.938 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.938 * [backup-simplify]: Simplify 1 into 1 3.938 * [backup-simplify]: Simplify 0.5 into 0.5 3.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.939 * [backup-simplify]: Simplify (+ 0 0) into 0 3.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.942 * [backup-simplify]: Simplify -0.125 into -0.125 3.942 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.125 (/ 1 x)) 0.5) x) 3.942 * * * [progress]: simplifying candidates 3.942 * [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) 3.942 * * [simplify]: iteration 0: 51 enodes 3.955 * * [simplify]: iteration 1: 114 enodes 3.992 * * [simplify]: iteration 2: 363 enodes 4.328 * * [simplify]: iteration 3: 1900 enodes 5.105 * * [simplify]: iteration complete: 5000 enodes 5.105 * * [simplify]: Extracting #0: cost 16 inf + 0 5.105 * * [simplify]: Extracting #1: cost 124 inf + 1 5.110 * * [simplify]: Extracting #2: cost 1161 inf + 462 5.135 * * [simplify]: Extracting #3: cost 1260 inf + 53754 5.167 * * [simplify]: Extracting #4: cost 340 inf + 146583 5.208 * * [simplify]: Extracting #5: cost 68 inf + 192930 5.253 * * [simplify]: Extracting #6: cost 24 inf + 197009 5.316 * * [simplify]: Extracting #7: cost 16 inf + 201394 5.354 * * [simplify]: Extracting #8: cost 5 inf + 202489 5.405 * * [simplify]: Extracting #9: cost 0 inf + 203754 5.442 * [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 (+ (* x (+ 1.0 x)) (* 1.0 1.0))) (sqrt (* (* (+ x 1.0) (- x 1.0)) x)) (sqrt (+ 1.0 x)) 1/2 1/2 (sqrt (sqrt (* x (- x 1.0)))) (sqrt (sqrt (* x (- x 1.0)))) (- (- (* (* +nan.0 x) (* x x)) (* +nan.0 (* x x))) (* +nan.0 x)) (- (- x 0.5) (/ 0.125 x)) (+ (/ 0.125 x) (- 0.5 x)) 5.443 * * * [progress]: adding candidates to table 5.520 * [progress]: [Phase 3 of 3] Extracting. 5.521 * * [regime]: Finding splitpoints for: (# #) 5.522 * * * [regime-changes]: Trying 1 branch expressions: (x) 5.523 * * * * [regimes]: Trying to branch on x from (# #) 5.546 * * * [regime]: Found split indices: #