1.259 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.135 * * * [progress]: [2/2] Setting up program. 0.139 * [progress]: [Phase 2 of 3] Improving. 0.141 * [simplify]: Simplifying: (* (sqrt (- x 1.0)) (sqrt x)) 0.183 * * [simplify]: Extracting # 0 : cost 0 0.183 * * [simplify]: Extracting # 1 : cost 0 0.183 * * [simplify]: Extracting # 2 : cost 0 0.183 * * [simplify]: Extracting # 3 : cost 0 0.183 * * [simplify]: Extracting # 4 : cost 0 0.183 * * [simplify]: Extracting # 5 : cost 0 0.183 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.188 * * [simplify]: Extracting # 0 : cost 0 0.188 * * [simplify]: Extracting # 1 : cost 0 0.188 * * [simplify]: Extracting # 2 : cost 0 0.188 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.190 * * [simplify]: Extracting # 0 : cost 0 0.190 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.191 * * [simplify]: Extracting # 0 : cost 0 0.191 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.191 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.194 * * [progress]: iteration 1 / 4 0.194 * * * [progress]: picking best candidate 0.196 * * * * [pick]: Picked # 0.196 * * * [progress]: localizing error 0.204 * * * [progress]: generating rewritten candidates 0.204 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.260 * * * [progress]: generating series expansions 0.260 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.267 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* (- x 1.0) x)) 0.267 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.268 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.268 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.268 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 0.268 * [backup-simplify]: Simplify 1.0 into 1.0 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 0.270 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.271 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.271 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 1 0) into 1 0.273 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 0.274 * [backup-simplify]: Simplify (sqrt 0) into 0 0.275 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.275 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.275 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.275 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.275 * [backup-simplify]: Simplify 1.0 into 1.0 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.276 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.276 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 1 0) into 1 0.278 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 0.278 * [backup-simplify]: Simplify (sqrt 0) into 0 0.279 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 1) (* 0 0))) into 1 0.293 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.293 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.297 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.298 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) 0.298 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.298 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.298 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.298 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [taylor]: Taking taylor expansion of 1.0 in x 0.299 * [backup-simplify]: Simplify 1.0 into 1.0 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (+ 1 0) into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [backup-simplify]: Simplify (sqrt 1) into 1 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.301 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.303 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.304 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.304 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.304 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.304 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * [backup-simplify]: Simplify 1.0 into 1.0 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [backup-simplify]: Simplify (sqrt 1) into 1 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.306 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.308 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.308 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify -0.5 into -0.5 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.312 * [backup-simplify]: Simplify -0.125 into -0.125 0.312 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ 0.5 (* 0.125 (/ 1 x)))) 0.312 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) 0.312 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.312 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.312 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.312 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [backup-simplify]: Simplify 1.0 into 1.0 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (+ 0 1) into 1 0.313 * [backup-simplify]: Simplify (- 1) into -1 0.314 * [backup-simplify]: Simplify (sqrt 0) into 0 0.314 * [backup-simplify]: Simplify (- 1) into -1 0.315 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.315 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.315 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.315 * [taylor]: Taking taylor expansion of -1 in x 0.315 * [backup-simplify]: Simplify -1 into -1 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ -1 1) into -1 0.315 * [backup-simplify]: Simplify (sqrt 0) into 0 0.316 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.316 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.316 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.316 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.316 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [backup-simplify]: Simplify 1.0 into 1.0 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.317 * [backup-simplify]: Simplify (+ 0 1) into 1 0.317 * [backup-simplify]: Simplify (- 1) into -1 0.317 * [backup-simplify]: Simplify (sqrt 0) into 0 0.317 * [backup-simplify]: Simplify (- 1) into -1 0.318 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.318 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.318 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.318 * [taylor]: Taking taylor expansion of -1 in x 0.318 * [backup-simplify]: Simplify -1 into -1 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 0.319 * [backup-simplify]: Simplify (/ -1 1) into -1 0.319 * [backup-simplify]: Simplify (sqrt 0) into 0 0.320 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.320 * [backup-simplify]: Simplify (* 0 0) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.324 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.326 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.328 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.329 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.342 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.343 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.360 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.360 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.362 * [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))))) 0.362 * * * [progress]: simplifying candidates 0.363 * [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 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.365 * * [simplify]: Extracting # 0 : cost 0 0.365 * * [simplify]: Extracting # 1 : cost 0 0.365 * * [simplify]: Extracting # 2 : cost 0 0.365 * * [simplify]: Extracting # 3 : cost 0 0.365 * * [simplify]: Extracting # 4 : cost 0 0.365 * * [simplify]: Extracting # 5 : cost 0 0.366 * * [simplify]: Extracting # 6 : cost 0 0.366 * * [simplify]: Extracting # 7 : cost 0 0.366 * * [simplify]: Extracting # 8 : cost 0 0.366 * * [simplify]: iteration 0 : 83 enodes (cost 387 ) 0.399 * * [simplify]: Extracting # 0 : cost 0 0.399 * * [simplify]: Extracting # 1 : cost 0 0.399 * * [simplify]: Extracting # 2 : cost 0 0.400 * * [simplify]: Extracting # 3 : cost 0 0.400 * * [simplify]: Extracting # 4 : cost 0 0.401 * * [simplify]: iteration 1 : 190 enodes (cost 360 ) 0.524 * * [simplify]: Extracting # 0 : cost 0 0.525 * * [simplify]: Extracting # 1 : cost 0 0.526 * * [simplify]: Extracting # 2 : cost 0 0.527 * * [simplify]: Extracting # 3 : cost 0 0.528 * * [simplify]: Extracting # 4 : cost 0 0.529 * * [simplify]: iteration 2 : 673 enodes (cost 340 ) 1.415 * * [simplify]: Extracting # 0 : cost 0 1.423 * * [simplify]: Extracting # 1 : cost 0 1.431 * * [simplify]: Extracting # 2 : cost 0 1.439 * * [simplify]: Extracting # 3 : cost 0 1.446 * * [simplify]: Extracting # 4 : cost 0 1.454 * * [simplify]: iteration 3 : 3653 enodes (cost 337 ) 3.391 * * [simplify]: Extracting # 0 : cost 0 3.421 * * [simplify]: Extracting # 1 : cost 0 3.430 * * [simplify]: Extracting # 2 : cost 0 3.438 * * [simplify]: Extracting # 3 : cost 0 3.447 * * [simplify]: Extracting # 4 : cost 0 3.460 * * [simplify]: iteration done: 5001 enodes (cost 335 ) 3.460 * [simplify]: Simplified to: (* (- x 1.0) x) (* (sqrt x) (sqrt (- x 1.0))) (* (- x 1.0) x) (log (* (sqrt x) (sqrt (- x 1.0)))) (log (* (sqrt x) (sqrt (- x 1.0)))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt x) (sqrt (- x 1.0))) 3) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt x) (sqrt (- x 1.0))) 3) (* (- 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)))) (* (fabs (cbrt x)) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (* +nan.0 (+ (- (pow x 3) x) (- (* x x)))) (- x (+ 0.5 (/ 0.125 x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) 3.461 * * * [progress]: adding candidates to table 3.574 * * [progress]: iteration 2 / 4 3.574 * * * [progress]: picking best candidate 3.579 * * * * [pick]: Picked # 3.579 * * * [progress]: localizing error 3.590 * * * [progress]: generating rewritten candidates 3.590 * * * [progress]: generating series expansions 3.590 * * * [progress]: simplifying candidates 3.590 * [simplify]: Simplifying: 3.590 * * [simplify]: Extracting # 0 : cost 0 3.590 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 3.590 * * [simplify]: Extracting # 0 : cost 0 3.590 * * [simplify]: iteration done: 0 enodes (cost 0 ) 3.590 * [simplify]: Simplified to: 3.590 * * * [progress]: adding candidates to table 3.591 * * [progress]: iteration 3 / 4 3.591 * * * [progress]: picking best candidate 3.594 * * * * [pick]: Picked # 3.594 * * * [progress]: localizing error 3.604 * * * [progress]: generating rewritten candidates 3.604 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.623 * * * [progress]: generating series expansions 3.623 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.623 * [backup-simplify]: Simplify (sqrt (* (- x 1.0) x)) into (sqrt (* (- x 1.0) x)) 3.623 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 3.623 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 3.623 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 3.623 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.623 * [taylor]: Taking taylor expansion of x in x 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 1 into 1 3.623 * [taylor]: Taking taylor expansion of 1.0 in x 3.623 * [backup-simplify]: Simplify 1.0 into 1.0 3.623 * [taylor]: Taking taylor expansion of x in x 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 1 into 1 3.624 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.625 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.626 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 3.626 * [backup-simplify]: Simplify (- 0) into 0 3.626 * [backup-simplify]: Simplify (+ 1 0) into 1 3.628 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 3.629 * [backup-simplify]: Simplify (sqrt 0) into 0 3.631 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.631 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 3.631 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 3.631 * [taylor]: Taking taylor expansion of (- x 1.0) in x 3.631 * [taylor]: Taking taylor expansion of x in x 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [taylor]: Taking taylor expansion of 1.0 in x 3.631 * [backup-simplify]: Simplify 1.0 into 1.0 3.631 * [taylor]: Taking taylor expansion of x in x 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.632 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.633 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 3.633 * [backup-simplify]: Simplify (- 0) into 0 3.634 * [backup-simplify]: Simplify (+ 1 0) into 1 3.636 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 3.636 * [backup-simplify]: Simplify (sqrt 0) into 0 3.638 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.639 * [backup-simplify]: Simplify (- 0) into 0 3.639 * [backup-simplify]: Simplify (+ 0 0) into 0 3.640 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 1) (* 0 0))) into 1 3.643 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.643 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.644 * [backup-simplify]: Simplify (- 0) into 0 3.644 * [backup-simplify]: Simplify (+ 0 0) into 0 3.646 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.650 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.650 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) 3.651 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1.0) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 3.651 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 3.651 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.651 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.651 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.651 * [taylor]: Taking taylor expansion of x in x 3.651 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify 1 into 1 3.651 * [backup-simplify]: Simplify (/ 1 1) into 1 3.651 * [taylor]: Taking taylor expansion of 1.0 in x 3.651 * [backup-simplify]: Simplify 1.0 into 1.0 3.651 * [taylor]: Taking taylor expansion of x in x 3.651 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify 1 into 1 3.652 * [backup-simplify]: Simplify (+ 1 0) into 1 3.652 * [backup-simplify]: Simplify (/ 1 1) into 1 3.653 * [backup-simplify]: Simplify (sqrt 1) into 1 3.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.654 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.655 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.657 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.659 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.659 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 3.659 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 3.659 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 3.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.659 * [taylor]: Taking taylor expansion of x in x 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [backup-simplify]: Simplify (/ 1 1) into 1 3.660 * [taylor]: Taking taylor expansion of 1.0 in x 3.660 * [backup-simplify]: Simplify 1.0 into 1.0 3.660 * [taylor]: Taking taylor expansion of x in x 3.660 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify 1 into 1 3.660 * [backup-simplify]: Simplify (+ 1 0) into 1 3.660 * [backup-simplify]: Simplify (/ 1 1) into 1 3.661 * [backup-simplify]: Simplify (sqrt 1) into 1 3.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.662 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.663 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.665 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 3.667 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.667 * [backup-simplify]: Simplify 1 into 1 3.667 * [backup-simplify]: Simplify -0.5 into -0.5 3.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.668 * [backup-simplify]: Simplify (- 0) into 0 3.668 * [backup-simplify]: Simplify (+ 0 0) into 0 3.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 3.672 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.672 * [backup-simplify]: Simplify -0.125 into -0.125 3.673 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ 0.5 (* 0.125 (/ 1 x)))) 3.673 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (sqrt (/ (+ 1.0 (/ 1 x)) x)) 3.673 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0 3.673 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 3.673 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 3.673 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.673 * [taylor]: Taking taylor expansion of 1.0 in x 3.673 * [backup-simplify]: Simplify 1.0 into 1.0 3.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.673 * [taylor]: Taking taylor expansion of x in x 3.673 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify 1 into 1 3.673 * [backup-simplify]: Simplify (/ 1 1) into 1 3.673 * [taylor]: Taking taylor expansion of x in x 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify 1 into 1 3.674 * [backup-simplify]: Simplify (+ 0 1) into 1 3.674 * [backup-simplify]: Simplify (/ 1 1) into 1 3.675 * [backup-simplify]: Simplify (sqrt 1) into 1 3.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.676 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.678 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.679 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.679 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 3.679 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 3.679 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.679 * [taylor]: Taking taylor expansion of 1.0 in x 3.679 * [backup-simplify]: Simplify 1.0 into 1.0 3.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.679 * [taylor]: Taking taylor expansion of x in x 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 1 into 1 3.679 * [backup-simplify]: Simplify (/ 1 1) into 1 3.679 * [taylor]: Taking taylor expansion of x in x 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (+ 0 1) into 1 3.680 * [backup-simplify]: Simplify (/ 1 1) into 1 3.681 * [backup-simplify]: Simplify (sqrt 1) into 1 3.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.690 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.691 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [backup-simplify]: Simplify 0.5 into 0.5 3.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.693 * [backup-simplify]: Simplify (+ 0 0) into 0 3.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.696 * [backup-simplify]: Simplify -0.125 into -0.125 3.697 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ 0.5 (* 0.125 (/ 1 x))) x) 3.697 * * * [progress]: simplifying candidates 3.697 * [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 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ 0.5 (* 0.125 (/ 1 x))) x) 3.698 * * [simplify]: Extracting # 0 : cost 0 3.698 * * [simplify]: Extracting # 1 : cost 0 3.698 * * [simplify]: Extracting # 2 : cost 0 3.698 * * [simplify]: Extracting # 3 : cost 0 3.698 * * [simplify]: Extracting # 4 : cost 0 3.698 * * [simplify]: Extracting # 5 : cost 0 3.698 * * [simplify]: Extracting # 6 : cost 0 3.698 * * [simplify]: Extracting # 7 : cost 0 3.698 * * [simplify]: iteration 0 : 51 enodes (cost 154 ) 3.708 * * [simplify]: Extracting # 0 : cost 0 3.709 * * [simplify]: Extracting # 1 : cost 0 3.709 * * [simplify]: Extracting # 2 : cost 0 3.709 * * [simplify]: Extracting # 3 : cost 0 3.709 * * [simplify]: Extracting # 4 : cost 0 3.709 * * [simplify]: iteration 1 : 113 enodes (cost 138 ) 3.740 * * [simplify]: Extracting # 0 : cost 0 3.740 * * [simplify]: Extracting # 1 : cost 0 3.740 * * [simplify]: Extracting # 2 : cost 0 3.741 * * [simplify]: Extracting # 3 : cost 0 3.741 * * [simplify]: iteration 2 : 364 enodes (cost 128 ) 4.000 * * [simplify]: Extracting # 0 : cost 0 4.007 * * [simplify]: Extracting # 1 : cost 0 4.012 * * [simplify]: Extracting # 2 : cost 0 4.015 * * [simplify]: Extracting # 3 : cost 0 4.019 * * [simplify]: iteration 3 : 1806 enodes (cost 126 ) 4.889 * * [simplify]: Extracting # 0 : cost 0 4.902 * * [simplify]: Extracting # 1 : cost 0 4.910 * * [simplify]: Extracting # 2 : cost 0 4.921 * * [simplify]: Extracting # 3 : cost 0 4.933 * * [simplify]: Extracting # 4 : cost 0 4.942 * * [simplify]: iteration done: 5001 enodes (cost 126 ) 4.943 * [simplify]: Simplified to: (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))) (pow (sqrt (* (- x 1.0) x)) 3) (sqrt (- x 1.0)) (sqrt x) (sqrt (* (- (pow x 3) (pow 1.0 3)) x)) (sqrt (+ (* 1.0 (+ x 1.0)) (* x x))) (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 (+ (- (pow x 3) x) (- (* x x)))) (- (- x 0.5) (/ 0.125 x)) (+ 0.5 (- (/ 0.125 x) x)) 4.943 * * * [progress]: adding candidates to table 4.977 * [progress]: [Phase 3 of 3] Extracting. 4.977 * * [regime]: Finding splitpoints for: (# # #) 4.978 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1.0)) (sqrt x)) x) 4.978 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1.0)) (sqrt x)) from (# # #) 4.999 * * * * [regimes]: Trying to branch on x from (# # #) 5.010 * * * [regime]: Found split indices: #