0.510 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.170 * * * [progress]: [2/2] Setting up program. 0.178 * [progress]: [Phase 2 of 3] Improving. 0.181 * [simplify]: Simplifying: (* (sqrt (- x 1.0)) (sqrt x)) 0.182 * * [simplify]: iteration 0: 6 enodes 0.188 * * [simplify]: iteration 1: 9 enodes 0.189 * * [simplify]: iteration 2: 10 enodes 0.191 * * [simplify]: iteration complete: 10 enodes 0.191 * * [simplify]: Extracting #0: cost 1 inf + 0 0.191 * * [simplify]: Extracting #1: cost 3 inf + 0 0.191 * * [simplify]: Extracting #2: cost 5 inf + 0 0.191 * * [simplify]: Extracting #3: cost 6 inf + 1 0.191 * * [simplify]: Extracting #4: cost 0 inf + 370 0.192 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.224 * * [progress]: iteration 1 / 4 0.224 * * * [progress]: picking best candidate 0.228 * * * * [pick]: Picked # 0.228 * * * [progress]: localizing error 0.239 * * * [progress]: generating rewritten candidates 0.239 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.264 * * * [progress]: generating series expansions 0.264 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.268 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* x (- x 1.0))) 0.268 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 0.269 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.269 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [taylor]: Taking taylor expansion of 1.0 in x 0.269 * [backup-simplify]: Simplify 1.0 into 1.0 0.270 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.270 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.271 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 1 0) into 1 0.272 * [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 0.274 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.274 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [backup-simplify]: Simplify 1.0 into 1.0 0.275 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.275 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.275 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 1 0) into 1 0.277 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.277 * [backup-simplify]: Simplify (sqrt 0) into 0 0.278 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 0.282 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.282 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 0.286 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.286 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.287 * [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))))))) 0.287 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.287 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.287 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.287 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.287 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [backup-simplify]: Simplify 1.0 into 1.0 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (+ 1 0) into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [backup-simplify]: Simplify (sqrt 1) into 1 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [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) 0.301 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.301 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.301 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.301 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 0.302 * [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 * [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 0) into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [backup-simplify]: Simplify (sqrt 1) into 1 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.306 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.309 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.310 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify -0.5 into -0.5 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.317 * [backup-simplify]: Simplify -0.125 into -0.125 0.317 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 0.317 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) 0.317 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in (x) around 0 0.318 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.318 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.318 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.318 * [backup-simplify]: Simplify 1.0 into 1.0 0.319 * [backup-simplify]: Simplify (+ 1 0) into 1 0.319 * [backup-simplify]: Simplify (- 1) into -1 0.320 * [backup-simplify]: Simplify (sqrt 0) into 0 0.320 * [backup-simplify]: Simplify (- 1) into -1 0.322 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.322 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.322 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.322 * [taylor]: Taking taylor expansion of -1 in x 0.322 * [backup-simplify]: Simplify -1 into -1 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ -1 1) into -1 0.323 * [backup-simplify]: Simplify (sqrt 0) into 0 0.325 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.325 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.325 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.325 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [backup-simplify]: Simplify 1.0 into 1.0 0.326 * [backup-simplify]: Simplify (+ 1 0) into 1 0.326 * [backup-simplify]: Simplify (- 1) into -1 0.326 * [backup-simplify]: Simplify (sqrt 0) into 0 0.327 * [backup-simplify]: Simplify (- 1) into -1 0.328 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.328 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.328 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.328 * [taylor]: Taking taylor expansion of -1 in x 0.328 * [backup-simplify]: Simplify -1 into -1 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (/ -1 1) into -1 0.329 * [backup-simplify]: Simplify (sqrt 0) into 0 0.331 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.331 * [backup-simplify]: Simplify (* 0 0) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.337 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.341 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.343 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.344 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.359 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.359 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.369 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.369 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.370 * [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))))) 0.371 * * * [progress]: simplifying candidates 0.371 * [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))))) 0.372 * * [simplify]: iteration 0: 85 enodes 0.389 * * [simplify]: iteration 1: 198 enodes 0.511 * * [simplify]: iteration 2: 699 enodes 1.395 * * [simplify]: iteration 3: 3995 enodes 2.529 * * [simplify]: iteration complete: 5000 enodes 2.529 * * [simplify]: Extracting #0: cost 24 inf + 0 2.530 * * [simplify]: Extracting #1: cost 431 inf + 0 2.542 * * [simplify]: Extracting #2: cost 1158 inf + 5999 2.557 * * [simplify]: Extracting #3: cost 695 inf + 53996 2.598 * * [simplify]: Extracting #4: cost 252 inf + 114700 2.659 * * [simplify]: Extracting #5: cost 8 inf + 165241 2.737 * * [simplify]: Extracting #6: cost 0 inf + 167117 2.815 * [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) 2.817 * * * [progress]: adding candidates to table 2.986 * * [progress]: iteration 2 / 4 2.986 * * * [progress]: picking best candidate 2.997 * * * * [pick]: Picked # 2.997 * * * [progress]: localizing error 3.010 * * * [progress]: generating rewritten candidates 3.010 * * * [progress]: generating series expansions 3.010 * * * [progress]: simplifying candidates 3.010 * [simplify]: Simplifying: 3.010 * * [simplify]: iteration 0: 0 enodes 3.010 * * [simplify]: iteration complete: 0 enodes 3.010 * * [simplify]: Extracting #0: cost 0 inf + 0 3.010 * [simplify]: Simplified to: 3.010 * * * [progress]: adding candidates to table 3.011 * * [progress]: iteration 3 / 4 3.011 * * * [progress]: picking best candidate 3.017 * * * * [pick]: Picked # 3.017 * * * [progress]: localizing error 3.026 * * * [progress]: generating rewritten candidates 3.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.034 * * * [progress]: generating series expansions 3.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.035 * [backup-simplify]: Simplify (sqrt (* (- x 1.0) x)) into (sqrt (* x (- x 1.0))) 3.035 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 3.035 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 3.035 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.035 * [taylor]: Taking taylor expansion of x in x 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 1 into 1 3.035 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.035 * [taylor]: Taking taylor expansion of x in x 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 1 into 1 3.035 * [taylor]: Taking taylor expansion of 1.0 in x 3.035 * [backup-simplify]: Simplify 1.0 into 1.0 3.035 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.036 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.036 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.037 * [backup-simplify]: Simplify (- 0) into 0 3.037 * [backup-simplify]: Simplify (+ 1 0) into 1 3.038 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.039 * [backup-simplify]: Simplify (sqrt 0) into 0 3.040 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.040 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 3.040 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.040 * [taylor]: Taking taylor expansion of x in x 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 1 into 1 3.040 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.040 * [taylor]: Taking taylor expansion of x in x 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 1 into 1 3.040 * [taylor]: Taking taylor expansion of 1.0 in x 3.040 * [backup-simplify]: Simplify 1.0 into 1.0 3.040 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.041 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.041 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.041 * [backup-simplify]: Simplify (- 0) into 0 3.042 * [backup-simplify]: Simplify (+ 1 0) into 1 3.043 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.043 * [backup-simplify]: Simplify (sqrt 0) into 0 3.044 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.045 * [backup-simplify]: Simplify (- 0) into 0 3.045 * [backup-simplify]: Simplify (+ 0 0) into 0 3.045 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 3.047 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.047 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.048 * [backup-simplify]: Simplify (- 0) into 0 3.048 * [backup-simplify]: Simplify (+ 0 0) into 0 3.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 3.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.051 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.052 * [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))))))) 3.052 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1.0) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 3.052 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 3.052 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.052 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.052 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.052 * [taylor]: Taking taylor expansion of x in x 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 1 into 1 3.053 * [backup-simplify]: Simplify (/ 1 1) into 1 3.053 * [taylor]: Taking taylor expansion of 1.0 in x 3.053 * [backup-simplify]: Simplify 1.0 into 1.0 3.053 * [taylor]: Taking taylor expansion of x in x 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify 1 into 1 3.053 * [backup-simplify]: Simplify (+ 1 0) into 1 3.054 * [backup-simplify]: Simplify (/ 1 1) into 1 3.054 * [backup-simplify]: Simplify (sqrt 1) into 1 3.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.055 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.056 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.058 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.060 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.060 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.060 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.060 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.060 * [taylor]: Taking taylor expansion of x in x 3.060 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify 1 into 1 3.060 * [backup-simplify]: Simplify (/ 1 1) into 1 3.060 * [taylor]: Taking taylor expansion of 1.0 in x 3.060 * [backup-simplify]: Simplify 1.0 into 1.0 3.060 * [taylor]: Taking taylor expansion of x in x 3.060 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [backup-simplify]: Simplify (+ 1 0) into 1 3.066 * [backup-simplify]: Simplify (/ 1 1) into 1 3.066 * [backup-simplify]: Simplify (sqrt 1) into 1 3.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.067 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.068 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.071 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.073 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.073 * [backup-simplify]: Simplify 1 into 1 3.073 * [backup-simplify]: Simplify -0.5 into -0.5 3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.074 * [backup-simplify]: Simplify (- 0) into 0 3.074 * [backup-simplify]: Simplify (+ 0 0) into 0 3.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.078 * [backup-simplify]: Simplify -0.125 into -0.125 3.079 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 3.079 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1.0) x)) 3.079 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in (x) around 0 3.079 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 3.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.079 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.079 * [taylor]: Taking taylor expansion of x in x 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [backup-simplify]: Simplify (/ 1 1) into 1 3.079 * [taylor]: Taking taylor expansion of 1.0 in x 3.079 * [backup-simplify]: Simplify 1.0 into 1.0 3.079 * [taylor]: Taking taylor expansion of x in x 3.080 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify (+ 1 0) into 1 3.081 * [backup-simplify]: Simplify (/ 1 1) into 1 3.081 * [backup-simplify]: Simplify (sqrt 1) into 1 3.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.082 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.084 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.085 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.085 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 3.085 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.085 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.085 * [taylor]: Taking taylor expansion of x in x 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify 1 into 1 3.086 * [backup-simplify]: Simplify (/ 1 1) into 1 3.086 * [taylor]: Taking taylor expansion of 1.0 in x 3.086 * [backup-simplify]: Simplify 1.0 into 1.0 3.086 * [taylor]: Taking taylor expansion of x in x 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [backup-simplify]: Simplify (+ 1 0) into 1 3.087 * [backup-simplify]: Simplify (/ 1 1) into 1 3.087 * [backup-simplify]: Simplify (sqrt 1) into 1 3.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.088 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.090 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.091 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.091 * [backup-simplify]: Simplify 1 into 1 3.091 * [backup-simplify]: Simplify 0.5 into 0.5 3.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.092 * [backup-simplify]: Simplify (+ 0 0) into 0 3.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.096 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.096 * [backup-simplify]: Simplify -0.125 into -0.125 3.097 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.125 (/ 1 x)) 0.5) x) 3.097 * * * [progress]: simplifying candidates 3.097 * [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) 3.098 * * [simplify]: iteration 0: 53 enodes 3.118 * * [simplify]: iteration 1: 122 enodes 3.154 * * [simplify]: iteration 2: 388 enodes 3.644 * * [simplify]: iteration 3: 2109 enodes 6.993 * * [simplify]: iteration complete: 5000 enodes 6.993 * * [simplify]: Extracting #0: cost 18 inf + 0 6.994 * * [simplify]: Extracting #1: cost 251 inf + 1 7.002 * * [simplify]: Extracting #2: cost 664 inf + 4256 7.017 * * [simplify]: Extracting #3: cost 475 inf + 38606 7.052 * * [simplify]: Extracting #4: cost 168 inf + 69047 7.114 * * [simplify]: Extracting #5: cost 40 inf + 97188 7.174 * * [simplify]: Extracting #6: cost 19 inf + 103158 7.236 * * [simplify]: Extracting #7: cost 3 inf + 105518 7.297 * * [simplify]: Extracting #8: cost 0 inf + 106277 7.332 * [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)) 7.332 * * * [progress]: adding candidates to table 7.414 * [progress]: [Phase 3 of 3] Extracting. 7.414 * * [regime]: Finding splitpoints for: (# #) 7.415 * * * [regime-changes]: Trying 1 branch expressions: (x) 7.415 * * * * [regimes]: Trying to branch on x from (# #) 7.437 * * * [regime]: Found split indices: #