0.443 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.127 * * * [progress]: [2/2] Setting up program. 0.131 * [progress]: [Phase 2 of 3] Improving. 0.134 * [simplify]: Simplifying: (* (sqrt (- x 1.0)) (sqrt x)) 0.134 * * [simplify]: iteration 0: 6 enodes 0.139 * * [simplify]: iteration 1: 9 enodes 0.141 * * [simplify]: iteration 2: 10 enodes 0.143 * * [simplify]: iteration complete: 10 enodes 0.143 * * [simplify]: Extracting #0: cost 1 inf + 0 0.143 * * [simplify]: Extracting #1: cost 3 inf + 0 0.143 * * [simplify]: Extracting #2: cost 5 inf + 0 0.143 * * [simplify]: Extracting #3: cost 6 inf + 1 0.144 * * [simplify]: Extracting #4: cost 0 inf + 370 0.144 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.145 * * [progress]: iteration 1 / 4 0.145 * * * [progress]: picking best candidate 0.149 * * * * [pick]: Picked # 0.149 * * * [progress]: localizing error 0.159 * * * [progress]: generating rewritten candidates 0.159 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.214 * * * [progress]: generating series expansions 0.215 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.219 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* x (- x 1.0))) 0.219 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 0.220 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.220 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of 1.0 in x 0.220 * [backup-simplify]: Simplify 1.0 into 1.0 0.223 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.223 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.224 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.225 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.226 * [backup-simplify]: Simplify (sqrt 0) into 0 0.227 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.227 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.227 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [backup-simplify]: Simplify 1.0 into 1.0 0.227 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.228 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.228 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.230 * [backup-simplify]: Simplify (sqrt 0) into 0 0.231 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 0.236 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.236 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 0.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.240 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.241 * [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))))))) 0.241 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.241 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.241 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.241 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.241 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [taylor]: Taking taylor expansion of 1.0 in x 0.241 * [backup-simplify]: Simplify 1.0 into 1.0 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (+ 1 0) into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [backup-simplify]: Simplify (sqrt 1) into 1 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.244 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.246 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.247 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.247 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.247 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.247 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [backup-simplify]: Simplify 1.0 into 1.0 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (+ 1 0) into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [backup-simplify]: Simplify (sqrt 1) into 1 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.249 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.251 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.252 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify -0.5 into -0.5 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.256 * [backup-simplify]: Simplify -0.125 into -0.125 0.256 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 0.256 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) 0.257 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in (x) around 0 0.257 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.257 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.257 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [backup-simplify]: Simplify 1.0 into 1.0 0.257 * [backup-simplify]: Simplify (+ 1 0) into 1 0.258 * [backup-simplify]: Simplify (- 1) into -1 0.258 * [backup-simplify]: Simplify (sqrt 0) into 0 0.258 * [backup-simplify]: Simplify (- 1) into -1 0.259 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.259 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.259 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.259 * [taylor]: Taking taylor expansion of -1 in x 0.259 * [backup-simplify]: Simplify -1 into -1 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (/ -1 1) into -1 0.260 * [backup-simplify]: Simplify (sqrt 0) into 0 0.260 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.260 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.260 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.260 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.261 * [backup-simplify]: Simplify 1.0 into 1.0 0.261 * [backup-simplify]: Simplify (+ 1 0) into 1 0.262 * [backup-simplify]: Simplify (- 1) into -1 0.262 * [backup-simplify]: Simplify (sqrt 0) into 0 0.262 * [backup-simplify]: Simplify (- 1) into -1 0.263 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.263 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.263 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.263 * [taylor]: Taking taylor expansion of -1 in x 0.263 * [backup-simplify]: Simplify -1 into -1 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ -1 1) into -1 0.264 * [backup-simplify]: Simplify (sqrt 0) into 0 0.264 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.265 * [backup-simplify]: Simplify (* 0 0) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.269 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.271 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.273 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.273 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.282 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.282 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.294 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.294 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.295 * [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))))) 0.295 * * * [progress]: simplifying candidates 0.296 * [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))))) 0.297 * * [simplify]: iteration 0: 83 enodes 0.323 * * [simplify]: iteration 1: 190 enodes 0.418 * * [simplify]: iteration 2: 489 enodes 0.675 * * [simplify]: iteration 3: 1353 enodes 1.728 * * [simplify]: iteration 4: 4655 enodes 3.265 * * [simplify]: iteration complete: 5002 enodes 3.265 * * [simplify]: Extracting #0: cost 22 inf + 0 3.267 * * [simplify]: Extracting #1: cost 309 inf + 0 3.273 * * [simplify]: Extracting #2: cost 1099 inf + 2840 3.293 * * [simplify]: Extracting #3: cost 1054 inf + 42407 3.349 * * [simplify]: Extracting #4: cost 533 inf + 121784 3.404 * * [simplify]: Extracting #5: cost 139 inf + 208385 3.475 * * [simplify]: Extracting #6: cost 2 inf + 248146 3.536 * * [simplify]: Extracting #7: cost 0 inf + 248843 3.581 * [simplify]: Simplified to: (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (- x 1.0) (sqrt (- x 1.0))) (* (sqrt x) x)) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (* (* (- x 1.0) (sqrt (- x 1.0))) (* (sqrt x) x)) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (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)) (cbrt (sqrt x))) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (fabs (cbrt x))) (* (sqrt (sqrt x)) (sqrt (- x 1.0))) (sqrt (- x 1.0)) (* (sqrt (sqrt x)) (sqrt (- x 1.0))) (sqrt (- x 1.0)) (* (sqrt x) (cbrt (sqrt (- x 1.0)))) (* (sqrt x) (sqrt (cbrt (- x 1.0)))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (* x (* x x)) (* 1.0 (* 1.0 1.0)))) (sqrt x)) (* (sqrt x) (sqrt (* (+ 1.0 x) (- x 1.0)))) (- (* (* +nan.0 x) (- (* x x) x)) (* +nan.0 x)) (- x (+ 0.5 (/ 0.125 x))) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) 3.583 * * * [progress]: adding candidates to table 3.704 * * [progress]: iteration 2 / 4 3.705 * * * [progress]: picking best candidate 3.715 * * * * [pick]: Picked # 3.715 * * * [progress]: localizing error 3.728 * * * [progress]: generating rewritten candidates 3.728 * * * [progress]: generating series expansions 3.728 * * * [progress]: simplifying candidates 3.728 * [simplify]: Simplifying: 3.728 * * [simplify]: iteration 0: 0 enodes 3.728 * * [simplify]: iteration complete: 0 enodes 3.728 * * [simplify]: Extracting #0: cost 0 inf + 0 3.728 * [simplify]: Simplified to: 3.728 * * * [progress]: adding candidates to table 3.729 * * [progress]: iteration 3 / 4 3.729 * * * [progress]: picking best candidate 3.735 * * * * [pick]: Picked # 3.735 * * * [progress]: localizing error 3.748 * * * [progress]: generating rewritten candidates 3.748 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.761 * * * [progress]: generating series expansions 3.762 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.762 * [backup-simplify]: Simplify (sqrt (* (- x 1.0) x)) into (sqrt (* x (- x 1.0))) 3.762 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 3.762 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 3.762 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.762 * [taylor]: Taking taylor expansion of x in x 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 1 into 1 3.762 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.762 * [taylor]: Taking taylor expansion of x in x 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 1 into 1 3.762 * [taylor]: Taking taylor expansion of 1.0 in x 3.762 * [backup-simplify]: Simplify 1.0 into 1.0 3.763 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.764 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.764 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.765 * [backup-simplify]: Simplify (- 0) into 0 3.765 * [backup-simplify]: Simplify (+ 1 0) into 1 3.767 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.768 * [backup-simplify]: Simplify (sqrt 0) into 0 3.769 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.770 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 3.770 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 3.770 * [taylor]: Taking taylor expansion of x in x 3.770 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify 1 into 1 3.770 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.770 * [taylor]: Taking taylor expansion of x in x 3.770 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify 1 into 1 3.770 * [taylor]: Taking taylor expansion of 1.0 in x 3.770 * [backup-simplify]: Simplify 1.0 into 1.0 3.770 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.771 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.772 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 3.772 * [backup-simplify]: Simplify (- 0) into 0 3.772 * [backup-simplify]: Simplify (+ 1 0) into 1 3.775 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 3.775 * [backup-simplify]: Simplify (sqrt 0) into 0 3.777 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.777 * [backup-simplify]: Simplify (- 0) into 0 3.778 * [backup-simplify]: Simplify (+ 0 0) into 0 3.779 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 3.782 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.782 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.782 * [backup-simplify]: Simplify (- 0) into 0 3.783 * [backup-simplify]: Simplify (+ 0 0) into 0 3.784 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 3.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.788 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.789 * [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))))))) 3.789 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1.0) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 3.789 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 3.789 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.789 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.789 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.789 * [taylor]: Taking taylor expansion of x in x 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 1 into 1 3.790 * [backup-simplify]: Simplify (/ 1 1) into 1 3.790 * [taylor]: Taking taylor expansion of 1.0 in x 3.790 * [backup-simplify]: Simplify 1.0 into 1.0 3.790 * [taylor]: Taking taylor expansion of x in x 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 1 into 1 3.791 * [backup-simplify]: Simplify (+ 1 0) into 1 3.791 * [backup-simplify]: Simplify (/ 1 1) into 1 3.792 * [backup-simplify]: Simplify (sqrt 1) into 1 3.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.794 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.796 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.798 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.798 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.798 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.798 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.798 * [taylor]: Taking taylor expansion of x in x 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify 1 into 1 3.799 * [backup-simplify]: Simplify (/ 1 1) into 1 3.799 * [taylor]: Taking taylor expansion of 1.0 in x 3.799 * [backup-simplify]: Simplify 1.0 into 1.0 3.799 * [taylor]: Taking taylor expansion of x in x 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 1 into 1 3.799 * [backup-simplify]: Simplify (+ 1 0) into 1 3.800 * [backup-simplify]: Simplify (/ 1 1) into 1 3.800 * [backup-simplify]: Simplify (sqrt 1) into 1 3.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.801 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.808 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.811 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.813 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.813 * [backup-simplify]: Simplify 1 into 1 3.813 * [backup-simplify]: Simplify -0.5 into -0.5 3.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.815 * [backup-simplify]: Simplify (- 0) into 0 3.815 * [backup-simplify]: Simplify (+ 0 0) into 0 3.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 3.819 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.819 * [backup-simplify]: Simplify -0.125 into -0.125 3.820 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 3.820 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1.0) x)) 3.820 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in (x) around 0 3.820 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 3.820 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.820 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.820 * [taylor]: Taking taylor expansion of x in x 3.820 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify 1 into 1 3.821 * [backup-simplify]: Simplify (/ 1 1) into 1 3.821 * [taylor]: Taking taylor expansion of 1.0 in x 3.821 * [backup-simplify]: Simplify 1.0 into 1.0 3.821 * [taylor]: Taking taylor expansion of x in x 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [backup-simplify]: Simplify (+ 1 0) into 1 3.822 * [backup-simplify]: Simplify (/ 1 1) into 1 3.822 * [backup-simplify]: Simplify (sqrt 1) into 1 3.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.823 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.825 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.826 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.827 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 3.827 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 3.827 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.827 * [taylor]: Taking taylor expansion of x in x 3.827 * [backup-simplify]: Simplify 0 into 0 3.827 * [backup-simplify]: Simplify 1 into 1 3.827 * [backup-simplify]: Simplify (/ 1 1) into 1 3.827 * [taylor]: Taking taylor expansion of 1.0 in x 3.827 * [backup-simplify]: Simplify 1.0 into 1.0 3.827 * [taylor]: Taking taylor expansion of x in x 3.827 * [backup-simplify]: Simplify 0 into 0 3.827 * [backup-simplify]: Simplify 1 into 1 3.828 * [backup-simplify]: Simplify (+ 1 0) into 1 3.828 * [backup-simplify]: Simplify (/ 1 1) into 1 3.829 * [backup-simplify]: Simplify (sqrt 1) into 1 3.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.830 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.832 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.833 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [backup-simplify]: Simplify 0.5 into 0.5 3.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.835 * [backup-simplify]: Simplify (+ 0 0) into 0 3.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.837 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.837 * [backup-simplify]: Simplify -0.125 into -0.125 3.837 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.125 (/ 1 x)) 0.5) x) 3.838 * * * [progress]: simplifying candidates 3.838 * [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) 3.838 * * [simplify]: iteration 0: 51 enodes 3.850 * * [simplify]: iteration 1: 114 enodes 3.886 * * [simplify]: iteration 2: 263 enodes 4.384 * * [simplify]: iteration 3: 690 enodes 4.769 * * [simplify]: iteration 4: 2225 enodes 6.097 * * [simplify]: iteration complete: 5001 enodes 6.097 * * [simplify]: Extracting #0: cost 16 inf + 0 6.097 * * [simplify]: Extracting #1: cost 179 inf + 1 6.103 * * [simplify]: Extracting #2: cost 792 inf + 708 6.111 * * [simplify]: Extracting #3: cost 1279 inf + 21202 6.146 * * [simplify]: Extracting #4: cost 608 inf + 117306 6.199 * * [simplify]: Extracting #5: cost 187 inf + 210492 6.274 * * [simplify]: Extracting #6: cost 24 inf + 264473 6.331 * * [simplify]: Extracting #7: cost 16 inf + 269605 6.385 * * [simplify]: Extracting #8: cost 4 inf + 270913 6.436 * * [simplify]: Extracting #9: cost 0 inf + 271925 6.516 * [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 (+ (* 1.0 (+ 1.0 x)) (* x x))) (sqrt (* x (- (* x x) (* 1.0 1.0)))) (sqrt (+ 1.0 x)) 1/2 1/2 (sqrt (sqrt (* x (- x 1.0)))) (sqrt (sqrt (* x (- x 1.0)))) (* x (- (* x (- (* x +nan.0) +nan.0)) +nan.0)) (- x (+ (/ 0.125 x) 0.5)) (+ (- 0.5 x) (/ 0.125 x)) 6.518 * * * [progress]: adding candidates to table 6.584 * [progress]: [Phase 3 of 3] Extracting. 6.585 * * [regime]: Finding splitpoints for: (# #) 6.587 * * * [regime-changes]: Trying 1 branch expressions: (x) 6.587 * * * * [regimes]: Trying to branch on x from (# #) 6.635 * * * [regime]: Found split indices: #