0.668 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.156 * * * [progress]: [2/2] Setting up program. 0.160 * [progress]: [Phase 2 of 3] Improving. 0.160 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.162 * [simplify]: Simplifying: (* (sqrt (- x 1)) (sqrt x)) 0.163 * * [simplify]: iteration 1: (6 enodes) 0.168 * * [simplify]: iteration 2: (10 enodes) 0.169 * * [simplify]: iteration 3: (11 enodes) 0.171 * * [simplify]: Extracting #0: cost 1 inf + 0 0.171 * * [simplify]: Extracting #1: cost 3 inf + 0 0.171 * * [simplify]: Extracting #2: cost 5 inf + 0 0.171 * * [simplify]: Extracting #3: cost 6 inf + 1 0.172 * * [simplify]: Extracting #4: cost 0 inf + 330 0.172 * [simplify]: Simplified to: (* (sqrt (- x 1)) (sqrt x)) 0.176 * * [progress]: iteration 1 / 4 0.176 * * * [progress]: picking best candidate 0.178 * * * * [pick]: Picked # 0.178 * * * [progress]: localizing error 0.214 * * * [progress]: generating rewritten candidates 0.214 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.234 * * * [progress]: generating series expansions 0.234 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.238 * [backup-simplify]: Simplify (* (sqrt (- x 1)) (sqrt x)) into (sqrt (* x (- x 1))) 0.238 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 0.239 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.239 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [taylor]: Taking taylor expansion of (- x 1) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [taylor]: Taking taylor expansion of 1 in x 0.239 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (- 1) into -1 0.241 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.242 * [backup-simplify]: Simplify (* 0 -1) into 0 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.243 * [backup-simplify]: Simplify (+ 1 0) into 1 0.243 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.244 * [backup-simplify]: Simplify (sqrt 0) into 0 0.245 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.245 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.245 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [taylor]: Taking taylor expansion of (- x 1) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [taylor]: Taking taylor expansion of 1 in x 0.245 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (- 1) into -1 0.246 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.247 * [backup-simplify]: Simplify (* 0 -1) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 1 0) into 1 0.248 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.249 * [backup-simplify]: Simplify (sqrt 0) into 0 0.250 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 0.256 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.256 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 0.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.263 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.264 * [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))))))) 0.264 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 0.264 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 0.264 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.264 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.264 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [taylor]: Taking taylor expansion of 1 in x 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (+ 1 0) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [backup-simplify]: Simplify (sqrt 1) into 1 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- 1) into -1 0.269 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.270 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.270 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.270 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [taylor]: Taking taylor expansion of 1 in x 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (+ 1 0) into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [backup-simplify]: Simplify (sqrt 1) into 1 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- 1) into -1 0.273 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.274 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.275 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify -1/2 into -1/2 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 0.279 * [backup-simplify]: Simplify -1/8 into -1/8 0.279 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 0.279 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) 0.279 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in (x) around 0 0.279 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.279 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.279 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [taylor]: Taking taylor expansion of 1 in x 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (+ 1 0) into 1 0.280 * [backup-simplify]: Simplify (- 1) into -1 0.281 * [backup-simplify]: Simplify (sqrt 0) into 0 0.281 * [backup-simplify]: Simplify (- 1) into -1 0.282 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.282 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.282 * [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 0.283 * [backup-simplify]: Simplify (sqrt 0) into 0 0.284 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.284 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.284 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.284 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [taylor]: Taking taylor expansion of 1 in x 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (+ 1 0) into 1 0.285 * [backup-simplify]: Simplify (- 1) into -1 0.285 * [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 0.287 * [backup-simplify]: Simplify (sqrt 0) into 0 0.288 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.288 * [backup-simplify]: Simplify (* 0 0) into 0 0.288 * [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 0.289 * [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 0.293 * [backup-simplify]: Simplify (+ 0 1) into 1 0.293 * [backup-simplify]: Simplify (- 1) into -1 0.295 * [backup-simplify]: Simplify (/ (- -1 (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 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.313 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.314 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.325 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.325 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.326 * [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))))) 0.326 * * * [progress]: simplifying candidates 0.326 * * * * [progress]: [ 1 / 39 ] simplifiying candidate # 0.326 * * * * [progress]: [ 2 / 39 ] simplifiying candidate # 0.326 * * * * [progress]: [ 3 / 39 ] simplifiying candidate # 0.326 * * * * [progress]: [ 4 / 39 ] simplifiying candidate # 0.326 * * * * [progress]: [ 5 / 39 ] simplifiying candidate # 0.326 * * * * [progress]: [ 6 / 39 ] simplifiying candidate # 0.326 * * * * [progress]: [ 7 / 39 ] simplifiying candidate # 0.326 * * * * [progress]: [ 8 / 39 ] simplifiying candidate # 0.326 * * * * [progress]: [ 9 / 39 ] simplifiying candidate # 0.326 * * * * [progress]: [ 10 / 39 ] simplifiying candidate # 0.326 * * * * [progress]: [ 11 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 12 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 13 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 14 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 15 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 16 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 17 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 18 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 19 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 20 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 21 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 22 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 23 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 24 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 25 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 26 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 27 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 28 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 29 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 30 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 31 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 32 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 33 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 34 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 35 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 36 / 39 ] simplifiying candidate # 0.327 * * * * [progress]: [ 37 / 39 ] simplifiying candidate # 0.328 * * * * [progress]: [ 38 / 39 ] simplifiying candidate # 0.328 * * * * [progress]: [ 39 / 39 ] simplifiying candidate # 0.328 * [simplify]: Simplifying: (* (- x 1) x) (* (sqrt (- x 1)) (sqrt x)) (* (- x 1) x) (+ (log (sqrt (- x 1))) (log (sqrt x))) (log (* (sqrt (- x 1)) (sqrt x))) (exp (* (sqrt (- x 1)) (sqrt x))) (* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt (- x 1)) (sqrt x))) (cbrt (* (sqrt (- x 1)) (sqrt x)))) (cbrt (* (sqrt (- x 1)) (sqrt x))) (* (* (* (sqrt (- x 1)) (sqrt x)) (* (sqrt (- x 1)) (sqrt x))) (* (sqrt (- x 1)) (sqrt x))) (* (- x 1) x) (sqrt (* (sqrt (- x 1)) (sqrt x))) (sqrt (* (sqrt (- x 1)) (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (- x 1)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- x 1)) (sqrt (sqrt x))) (* (sqrt (- x 1)) (sqrt 1)) (* (sqrt (- x 1)) (sqrt (sqrt x))) (* (sqrt (- x 1)) 1) (* (cbrt (sqrt (- x 1))) (sqrt x)) (* (sqrt (cbrt (- x 1))) (sqrt x)) (* (sqrt (sqrt (- x 1))) (sqrt x)) (* (sqrt (- x 1)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1))) (sqrt x)) (* (sqrt (- (sqrt x) 1)) (sqrt x)) (* (sqrt (- (sqrt x) 1)) (sqrt x)) (* (sqrt (- x 1)) (sqrt x)) (* (sqrt (sqrt (- x 1))) (sqrt x)) (* (sqrt (- x 1)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1 1))) (sqrt x)) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.329 * * [simplify]: iteration 1: (84 enodes) 0.348 * * [simplify]: iteration 2: (183 enodes) 0.388 * * [simplify]: iteration 3: (388 enodes) 0.537 * * [simplify]: iteration 4: (936 enodes) 1.247 * * [simplify]: Extracting #0: cost 22 inf + 0 1.248 * * [simplify]: Extracting #1: cost 138 inf + 0 1.251 * * [simplify]: Extracting #2: cost 361 inf + 1180 1.261 * * [simplify]: Extracting #3: cost 259 inf + 22414 1.282 * * [simplify]: Extracting #4: cost 55 inf + 57304 1.309 * * [simplify]: Extracting #5: cost 8 inf + 70252 1.338 * * [simplify]: Extracting #6: cost 0 inf + 73720 1.369 * [simplify]: Simplified to: (* x (- x 1)) (* (sqrt x) (sqrt (- x 1))) (* x (- x 1)) (log (* (sqrt x) (sqrt (- x 1)))) (log (* (sqrt x) (sqrt (- x 1)))) (exp (* (sqrt x) (sqrt (- x 1)))) (* (* (sqrt x) (- x 1)) (* (sqrt (- x 1)) x)) (* (cbrt (* (sqrt x) (sqrt (- x 1)))) (cbrt (* (sqrt x) (sqrt (- x 1))))) (cbrt (* (sqrt x) (sqrt (- x 1)))) (* (* (sqrt x) (- x 1)) (* (sqrt (- x 1)) x)) (* x (- x 1)) (sqrt (* (sqrt x) (sqrt (- x 1)))) (sqrt (* (sqrt x) (sqrt (- x 1)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt x)) (sqrt (sqrt (- x 1)))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (sqrt (- x 1)))) (* (sqrt (- x 1)) (fabs (cbrt x))) (* (sqrt (sqrt x)) (sqrt (- x 1))) (sqrt (- x 1)) (* (sqrt (sqrt x)) (sqrt (- x 1))) (sqrt (- x 1)) (* (cbrt (sqrt (- x 1))) (sqrt x)) (* (sqrt x) (sqrt (cbrt (- x 1)))) (* (sqrt (sqrt (- x 1))) (sqrt x)) (* (sqrt x) (sqrt (- x 1))) (* (sqrt x) (sqrt (- (sqrt x) 1))) (* (sqrt x) (sqrt (- (sqrt x) 1))) (* (sqrt x) (sqrt (- (sqrt x) 1))) (* (sqrt x) (sqrt (- x 1))) (* (sqrt (sqrt (- x 1))) (sqrt x)) (* (sqrt x) (sqrt (- x 1))) (* (sqrt x) (sqrt (- (* (* x x) x) 1))) (* (sqrt (- (* x x) 1)) (sqrt x)) (- (* x (* x (- (* x +nan.0) +nan.0))) (* x +nan.0)) (- -1/2 (- (/ 1/8 x) x)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) 1.372 * * * [progress]: adding candidates to table 1.691 * * [progress]: iteration 2 / 4 1.691 * * * [progress]: picking best candidate 1.694 * * * * [pick]: Picked # 1.694 * * * [progress]: localizing error 1.703 * * * [progress]: generating rewritten candidates 1.703 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.719 * * * [progress]: generating series expansions 1.719 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.719 * [backup-simplify]: Simplify (- -1/2 (- (/ 1/8 x) x)) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1.719 * [approximate]: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in (x) around 0 1.719 * [taylor]: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 1 into 1 1.719 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 x)) 1/2) in x 1.720 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 x)) in x 1.720 * [taylor]: Taking taylor expansion of 1/8 in x 1.720 * [backup-simplify]: Simplify 1/8 into 1/8 1.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 1 into 1 1.720 * [backup-simplify]: Simplify (/ 1 1) into 1 1.720 * [taylor]: Taking taylor expansion of 1/2 in x 1.720 * [backup-simplify]: Simplify 1/2 into 1/2 1.720 * [taylor]: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 1 into 1 1.720 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 x)) 1/2) in x 1.720 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 x)) in x 1.720 * [taylor]: Taking taylor expansion of 1/8 in x 1.720 * [backup-simplify]: Simplify 1/8 into 1/8 1.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.720 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 1 into 1 1.721 * [backup-simplify]: Simplify (/ 1 1) into 1 1.721 * [taylor]: Taking taylor expansion of 1/2 in x 1.721 * [backup-simplify]: Simplify 1/2 into 1/2 1.722 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 1.722 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 1.722 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.723 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 1.723 * [backup-simplify]: Simplify -1/8 into -1/8 1.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.725 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 1.725 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.725 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.726 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.726 * [backup-simplify]: Simplify -1/2 into -1/2 1.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.728 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 1.728 * [backup-simplify]: Simplify (+ 0 0) into 0 1.729 * [backup-simplify]: Simplify (- 0) into 0 1.729 * [backup-simplify]: Simplify (+ 1 0) into 1 1.729 * [backup-simplify]: Simplify 1 into 1 1.729 * [backup-simplify]: Simplify (+ (* 1 x) (+ -1/2 (* -1/8 (/ 1 x)))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1.729 * [backup-simplify]: Simplify (- -1/2 (- (/ 1/8 (/ 1 x)) (/ 1 x))) into (- (/ 1 x) (+ (* 1/8 x) 1/2)) 1.730 * [approximate]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in (x) around 0 1.730 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in x 1.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (/ 1 1) into 1 1.730 * [taylor]: Taking taylor expansion of (+ (* 1/8 x) 1/2) in x 1.730 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 1.730 * [taylor]: Taking taylor expansion of 1/8 in x 1.730 * [backup-simplify]: Simplify 1/8 into 1/8 1.730 * [taylor]: Taking taylor expansion of x in x 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [taylor]: Taking taylor expansion of 1/2 in x 1.730 * [backup-simplify]: Simplify 1/2 into 1/2 1.730 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in x 1.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.731 * [backup-simplify]: Simplify (/ 1 1) into 1 1.731 * [taylor]: Taking taylor expansion of (+ (* 1/8 x) 1/2) in x 1.731 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 1.731 * [taylor]: Taking taylor expansion of 1/8 in x 1.731 * [backup-simplify]: Simplify 1/8 into 1/8 1.731 * [taylor]: Taking taylor expansion of x in x 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 1 into 1 1.731 * [taylor]: Taking taylor expansion of 1/2 in x 1.731 * [backup-simplify]: Simplify 1/2 into 1/2 1.732 * [backup-simplify]: Simplify (+ 1 0) into 1 1.732 * [backup-simplify]: Simplify 1 into 1 1.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.733 * [backup-simplify]: Simplify (* 1/8 0) into 0 1.733 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.734 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.734 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.734 * [backup-simplify]: Simplify -1/2 into -1/2 1.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.736 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 1.736 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 1.737 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.737 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 1.737 * [backup-simplify]: Simplify -1/8 into -1/8 1.738 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1.738 * [backup-simplify]: Simplify (- -1/2 (- (/ 1/8 (/ 1 (- x))) (/ 1 (- x)))) into (- (* 1/8 x) (+ (/ 1 x) 1/2)) 1.738 * [approximate]: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in (x) around 0 1.738 * [taylor]: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in x 1.738 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 1.738 * [taylor]: Taking taylor expansion of 1/8 in x 1.738 * [backup-simplify]: Simplify 1/8 into 1/8 1.738 * [taylor]: Taking taylor expansion of x in x 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 1.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.738 * [taylor]: Taking taylor expansion of x in x 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.739 * [backup-simplify]: Simplify (/ 1 1) into 1 1.739 * [taylor]: Taking taylor expansion of 1/2 in x 1.739 * [backup-simplify]: Simplify 1/2 into 1/2 1.739 * [taylor]: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in x 1.739 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 1.739 * [taylor]: Taking taylor expansion of 1/8 in x 1.739 * [backup-simplify]: Simplify 1/8 into 1/8 1.739 * [taylor]: Taking taylor expansion of x in x 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 1.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.739 * [taylor]: Taking taylor expansion of x in x 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [backup-simplify]: Simplify (/ 1 1) into 1 1.739 * [taylor]: Taking taylor expansion of 1/2 in x 1.739 * [backup-simplify]: Simplify 1/2 into 1/2 1.740 * [backup-simplify]: Simplify (+ 1 0) into 1 1.740 * [backup-simplify]: Simplify (- 1) into -1 1.741 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.741 * [backup-simplify]: Simplify -1 into -1 1.741 * [backup-simplify]: Simplify (* 1/8 0) into 0 1.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.742 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.743 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.743 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.743 * [backup-simplify]: Simplify -1/2 into -1/2 1.744 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 1.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.750 * [backup-simplify]: Simplify (+ 0 0) into 0 1.751 * [backup-simplify]: Simplify (- 0) into 0 1.752 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 1.752 * [backup-simplify]: Simplify 1/8 into 1/8 1.752 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (- x))) (+ -1/2 (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1.752 * * * [progress]: simplifying candidates 1.752 * * * * [progress]: [ 1 / 22 ] simplifiying candidate # 1.752 * * * * [progress]: [ 2 / 22 ] simplifiying candidate # 1.752 * * * * [progress]: [ 3 / 22 ] simplifiying candidate # 1.752 * * * * [progress]: [ 4 / 22 ] simplifiying candidate # 1.752 * * * * [progress]: [ 5 / 22 ] simplifiying candidate # 1.752 * * * * [progress]: [ 6 / 22 ] simplifiying candidate # 1.752 * * * * [progress]: [ 7 / 22 ] simplifiying candidate # 1.752 * * * * [progress]: [ 8 / 22 ] simplifiying candidate # 1.752 * * * * [progress]: [ 9 / 22 ] simplifiying candidate # 1.752 * * * * [progress]: [ 10 / 22 ] simplifiying candidate # 1.752 * * * * [progress]: [ 11 / 22 ] simplifiying candidate # 1.752 * * * * [progress]: [ 12 / 22 ] simplifiying candidate # 1.753 * * * * [progress]: [ 13 / 22 ] simplifiying candidate # 1.753 * * * * [progress]: [ 14 / 22 ] simplifiying candidate # 1.753 * * * * [progress]: [ 15 / 22 ] simplifiying candidate # 1.753 * * * * [progress]: [ 16 / 22 ] simplifiying candidate # 1.753 * * * * [progress]: [ 17 / 22 ] simplifiying candidate # 1.753 * * * * [progress]: [ 18 / 22 ] simplifiying candidate # 1.753 * * * * [progress]: [ 19 / 22 ] simplifiying candidate # 1.753 * * * * [progress]: [ 20 / 22 ] simplifiying candidate # 1.753 * * * * [progress]: [ 21 / 22 ] simplifiying candidate # 1.753 * * * * [progress]: [ 22 / 22 ] simplifiying candidate # 1.753 * [simplify]: Simplifying: (/ (exp -1/2) (/ (exp (/ 1/8 x)) (exp x))) (/ (exp -1/2) (exp (- (/ 1/8 x) x))) (log (- -1/2 (- (/ 1/8 x) x))) (exp (- -1/2 (- (/ 1/8 x) x))) (* (cbrt (- -1/2 (- (/ 1/8 x) x))) (cbrt (- -1/2 (- (/ 1/8 x) x)))) (cbrt (- -1/2 (- (/ 1/8 x) x))) (* (* (- -1/2 (- (/ 1/8 x) x)) (- -1/2 (- (/ 1/8 x) x))) (- -1/2 (- (/ 1/8 x) x))) (sqrt (- -1/2 (- (/ 1/8 x) x))) (sqrt (- -1/2 (- (/ 1/8 x) x))) (- (pow -1/2 3) (pow (- (/ 1/8 x) x) 3)) (+ (* -1/2 -1/2) (+ (* (- (/ 1/8 x) x) (- (/ 1/8 x) x)) (* -1/2 (- (/ 1/8 x) x)))) (- (- (/ 1/8 x) x)) (- (* -1/2 -1/2) (* (- (/ 1/8 x) x) (- (/ 1/8 x) x))) (+ -1/2 (- (/ 1/8 x) x)) (+ (sqrt -1/2) (sqrt (- (/ 1/8 x) x))) (- (sqrt -1/2) (sqrt (- (/ 1/8 x) x))) (- -1/2 (- (/ 1/8 x) x)) (- -1/2 (- (/ 1/8 x) x)) (- -1/2 (/ 1/8 x)) (- -1/2 (/ 1/8 x)) (- -1/2 (/ 1/8 x)) (- (- (/ 1/8 x) x)) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1.753 * * [simplify]: iteration 1: (43 enodes) 1.762 * * [simplify]: iteration 2: (90 enodes) 1.784 * * [simplify]: iteration 3: (246 enodes) 1.907 * * [simplify]: iteration 4: (976 enodes) 2.873 * * [simplify]: Extracting #0: cost 15 inf + 0 2.874 * * [simplify]: Extracting #1: cost 239 inf + 0 2.876 * * [simplify]: Extracting #2: cost 732 inf + 603 2.881 * * [simplify]: Extracting #3: cost 871 inf + 8135 2.912 * * [simplify]: Extracting #4: cost 457 inf + 87058 2.973 * * [simplify]: Extracting #5: cost 30 inf + 186627 3.049 * * [simplify]: Extracting #6: cost 0 inf + 192965 3.138 * * [simplify]: Extracting #7: cost 0 inf + 192802 3.234 * [simplify]: Simplified to: (exp (- (+ x -1/2) (/ 1/8 x))) (exp (- (+ x -1/2) (/ 1/8 x))) (log (- (+ x -1/2) (/ 1/8 x))) (exp (- (+ x -1/2) (/ 1/8 x))) (* (cbrt (- (+ x -1/2) (/ 1/8 x))) (cbrt (- (+ x -1/2) (/ 1/8 x)))) (cbrt (- (+ x -1/2) (/ 1/8 x))) (* (- (+ x -1/2) (/ 1/8 x)) (* (- (+ x -1/2) (/ 1/8 x)) (- (+ x -1/2) (/ 1/8 x)))) (sqrt (- (+ x -1/2) (/ 1/8 x))) (sqrt (- (+ x -1/2) (/ 1/8 x))) (- -1/8 (* (* (- (/ 1/8 x) x) (- (/ 1/8 x) x)) (- (/ 1/8 x) x))) (+ 1/4 (* (- (/ 1/8 x) x) (+ (- (/ 1/8 x) x) -1/2))) (+ x (/ -1/8 x)) (- 1/4 (* (- (/ 1/8 x) x) (- (/ 1/8 x) x))) (- (/ 1/8 x) (- x -1/2)) (+ (sqrt (- (/ 1/8 x) x)) (sqrt -1/2)) (- (sqrt -1/2) (sqrt (- (/ 1/8 x) x))) (- (+ x -1/2) (/ 1/8 x)) (- (+ x -1/2) (/ 1/8 x)) (+ -1/2 (/ -1/8 x)) (+ -1/2 (/ -1/8 x)) (+ -1/2 (/ -1/8 x)) (+ x (/ -1/8 x)) (- (+ x -1/2) (/ 1/8 x)) (- (+ x -1/2) (/ 1/8 x)) (- (+ x -1/2) (/ 1/8 x)) 3.235 * * * [progress]: adding candidates to table 3.316 * * [progress]: iteration 3 / 4 3.316 * * * [progress]: picking best candidate 3.319 * * * * [pick]: Picked # 3.319 * * * [progress]: localizing error 3.338 * * * [progress]: generating rewritten candidates 3.339 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.350 * * * [progress]: generating series expansions 3.350 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.350 * [backup-simplify]: Simplify (sqrt (* (- x 1) x)) into (sqrt (* x (- x 1))) 3.350 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 3.350 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 3.350 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 3.350 * [taylor]: Taking taylor expansion of x in x 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.350 * [taylor]: Taking taylor expansion of (- x 1) in x 3.350 * [taylor]: Taking taylor expansion of x in x 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.350 * [taylor]: Taking taylor expansion of 1 in x 3.350 * [backup-simplify]: Simplify 1 into 1 3.351 * [backup-simplify]: Simplify (- 1) into -1 3.351 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.352 * [backup-simplify]: Simplify (* 0 -1) into 0 3.352 * [backup-simplify]: Simplify (- 0) into 0 3.352 * [backup-simplify]: Simplify (+ 1 0) into 1 3.353 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.353 * [backup-simplify]: Simplify (sqrt 0) into 0 3.354 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.354 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 3.354 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 3.354 * [taylor]: Taking taylor expansion of x in x 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 1 into 1 3.354 * [taylor]: Taking taylor expansion of (- x 1) in x 3.354 * [taylor]: Taking taylor expansion of x in x 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 1 into 1 3.354 * [taylor]: Taking taylor expansion of 1 in x 3.354 * [backup-simplify]: Simplify 1 into 1 3.354 * [backup-simplify]: Simplify (- 1) into -1 3.355 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.355 * [backup-simplify]: Simplify (* 0 -1) into 0 3.355 * [backup-simplify]: Simplify (- 0) into 0 3.355 * [backup-simplify]: Simplify (+ 1 0) into 1 3.356 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.356 * [backup-simplify]: Simplify (sqrt 0) into 0 3.357 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.357 * [backup-simplify]: Simplify (- 0) into 0 3.358 * [backup-simplify]: Simplify (+ 0 0) into 0 3.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.360 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.360 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.360 * [backup-simplify]: Simplify (- 0) into 0 3.360 * [backup-simplify]: Simplify (+ 0 0) into 0 3.361 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.363 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.364 * [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))))))) 3.364 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 3.364 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 3.364 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 3.364 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 3.364 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 3.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.364 * [taylor]: Taking taylor expansion of x in x 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.364 * [backup-simplify]: Simplify (/ 1 1) into 1 3.364 * [taylor]: Taking taylor expansion of 1 in x 3.364 * [backup-simplify]: Simplify 1 into 1 3.364 * [taylor]: Taking taylor expansion of x in x 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.365 * [backup-simplify]: Simplify (+ 1 0) into 1 3.365 * [backup-simplify]: Simplify (/ 1 1) into 1 3.365 * [backup-simplify]: Simplify (sqrt 1) into 1 3.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.366 * [backup-simplify]: Simplify (- 1) into -1 3.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.367 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 3.367 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 3.367 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 3.367 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 3.367 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 3.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.367 * [taylor]: Taking taylor expansion of x in x 3.367 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify 1 into 1 3.367 * [backup-simplify]: Simplify (/ 1 1) into 1 3.367 * [taylor]: Taking taylor expansion of 1 in x 3.367 * [backup-simplify]: Simplify 1 into 1 3.367 * [taylor]: Taking taylor expansion of x in x 3.367 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify 1 into 1 3.368 * [backup-simplify]: Simplify (+ 1 0) into 1 3.368 * [backup-simplify]: Simplify (/ 1 1) into 1 3.368 * [backup-simplify]: Simplify (sqrt 1) into 1 3.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.369 * [backup-simplify]: Simplify (- 1) into -1 3.369 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.370 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 3.370 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 3.370 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify -1/2 into -1/2 3.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.371 * [backup-simplify]: Simplify (- 0) into 0 3.371 * [backup-simplify]: Simplify (+ 0 0) into 0 3.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 3.372 * [backup-simplify]: Simplify -1/8 into -1/8 3.373 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 3.373 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1) x)) 3.373 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in (x) around 0 3.373 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in x 3.373 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 3.373 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.373 * [taylor]: Taking taylor expansion of x in x 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 1 into 1 3.373 * [backup-simplify]: Simplify (/ 1 1) into 1 3.373 * [taylor]: Taking taylor expansion of 1 in x 3.373 * [backup-simplify]: Simplify 1 into 1 3.373 * [taylor]: Taking taylor expansion of x in x 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 1 into 1 3.373 * [backup-simplify]: Simplify (+ 1 0) into 1 3.374 * [backup-simplify]: Simplify (/ 1 1) into 1 3.374 * [backup-simplify]: Simplify (sqrt 1) into 1 3.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.375 * [backup-simplify]: Simplify (+ 0 1) into 1 3.375 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.375 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 3.375 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in x 3.376 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 3.376 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.376 * [taylor]: Taking taylor expansion of x in x 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [backup-simplify]: Simplify (/ 1 1) into 1 3.376 * [taylor]: Taking taylor expansion of 1 in x 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [taylor]: Taking taylor expansion of x in x 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [backup-simplify]: Simplify (+ 1 0) into 1 3.376 * [backup-simplify]: Simplify (/ 1 1) into 1 3.377 * [backup-simplify]: Simplify (sqrt 1) into 1 3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.377 * [backup-simplify]: Simplify (+ 0 1) into 1 3.378 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.378 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 3.379 * [backup-simplify]: Simplify 1 into 1 3.379 * [backup-simplify]: Simplify 1/2 into 1/2 3.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.379 * [backup-simplify]: Simplify (+ 0 0) into 0 3.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.381 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 3.381 * [backup-simplify]: Simplify -1/8 into -1/8 3.382 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 (- x))) (+ 1/2 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 x)) 1/2) x) 3.382 * * * [progress]: simplifying candidates 3.382 * * * * [progress]: [ 1 / 16 ] simplifiying candidate # 3.382 * * * * [progress]: [ 2 / 16 ] simplifiying candidate # 3.382 * * * * [progress]: [ 3 / 16 ] simplifiying candidate # 3.382 * * * * [progress]: [ 4 / 16 ] simplifiying candidate # 3.382 * * * * [progress]: [ 5 / 16 ] simplifiying candidate # 3.382 * * * * [progress]: [ 6 / 16 ] simplifiying candidate # 3.382 * * * * [progress]: [ 7 / 16 ] simplifiying candidate # 3.382 * * * * [progress]: [ 8 / 16 ] simplifiying candidate # 3.382 * * * * [progress]: [ 9 / 16 ] simplifiying candidate # 3.382 * * * * [progress]: [ 10 / 16 ] simplifiying candidate # 3.382 * * * * [progress]: [ 11 / 16 ] simplifiying candidate # 3.382 * * * * [progress]: [ 12 / 16 ] simplifiying candidate # 3.382 * * * * [progress]: [ 13 / 16 ] simplifiying candidate # 3.382 * * * * [progress]: [ 14 / 16 ] simplifiying candidate # 3.383 * * * * [progress]: [ 15 / 16 ] simplifiying candidate # 3.383 * * * * [progress]: [ 16 / 16 ] simplifiying candidate # 3.383 * [simplify]: Simplifying: (log (sqrt (* (- x 1) x))) (exp (sqrt (* (- x 1) x))) (* (cbrt (sqrt (* (- x 1) x))) (cbrt (sqrt (* (- x 1) x)))) (cbrt (sqrt (* (- x 1) x))) (* (* (sqrt (* (- x 1) x)) (sqrt (* (- x 1) x))) (sqrt (* (- x 1) x))) (sqrt (- x 1)) (sqrt x) (sqrt (* (- (pow x 3) (pow 1 3)) x)) (sqrt (+ (* x x) (+ (* 1 1) (* x 1)))) (sqrt (* (- (* x x) (* 1 1)) x)) (sqrt (+ x 1)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (- x 1) x))) (sqrt (sqrt (* (- x 1) x))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- (+ (* 1/8 (/ 1 x)) 1/2) x) 3.384 * * [simplify]: iteration 1: (50 enodes) 3.402 * * [simplify]: iteration 2: (104 enodes) 3.421 * * [simplify]: iteration 3: (222 enodes) 3.482 * * [simplify]: iteration 4: (536 enodes) 3.856 * * [simplify]: iteration 5: (1284 enodes) 5.724 * * [simplify]: Extracting #0: cost 16 inf + 0 5.725 * * [simplify]: Extracting #1: cost 102 inf + 1 5.727 * * [simplify]: Extracting #2: cost 321 inf + 128 5.735 * * [simplify]: Extracting #3: cost 406 inf + 9762 5.758 * * [simplify]: Extracting #4: cost 203 inf + 48099 5.798 * * [simplify]: Extracting #5: cost 38 inf + 118649 5.831 * * [simplify]: Extracting #6: cost 0 inf + 138285 5.851 * * [simplify]: Extracting #7: cost 0 inf + 137803 5.889 * * [simplify]: Extracting #8: cost 0 inf + 137763 5.930 * [simplify]: Simplified to: (log (sqrt (- (* x x) x))) (exp (sqrt (- (* x x) x))) (* (cbrt (sqrt (- (* x x) x))) (cbrt (sqrt (- (* x x) x)))) (cbrt (sqrt (- (* x x) x))) (* (sqrt (- (* x x) x)) (- (* x x) x)) (sqrt (- x 1)) (sqrt x) (sqrt (- (* (* x x) (* x x)) x)) (sqrt (+ (+ 1 (* x x)) x)) (sqrt (- (* (* x x) x) x)) (sqrt (+ 1 x)) 1/2 1/2 (sqrt (sqrt (- (* x x) x))) (sqrt (sqrt (- (* x x) x))) (* (- (- (* (* x x) x) x) (* x x)) +nan.0) (- (- x 1/2) (/ 1/8 x)) (+ (- 1/2 x) (/ 1/8 x)) 5.932 * * * [progress]: adding candidates to table 6.041 * [progress]: [Phase 3 of 3] Extracting. 6.041 * * [regime]: Finding splitpoints for: (# #) 6.042 * * * [regime-changes]: Trying 1 branch expressions: (x) 6.042 * * * * [regimes]: Trying to branch on x from (# #) 6.058 * * * [regime]: Found split indices: #