8.980 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (+ x (* x x)) 0.013 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 11 enodes (cost 2 ) 0.016 * * [simplify]: iteration 2 : 17 enodes (cost 2 ) 0.017 * * [simplify]: iteration 3 : 17 enodes (cost 2 ) 0.017 * [simplify]: Simplified to: (+ x (* x x)) 0.017 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.024 * * * [progress]: generating series expansions 0.024 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.025 * [approximate]: Taking taylor expansion of (+ (pow x 2) x) in (x) around 0 0.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.031 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.045 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.045 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.061 * * * [progress]: simplifying candidates 0.061 * [simplify]: Simplifying using # : (+ (pow x 3) (pow (* x x) 3)) (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x)))) (- (* x x) (* (* x x) (* x x))) (- x (* x x)) (+ x 1) (+ x 1) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 0.064 * * [simplify]: iteration 0 : 49 enodes (cost 25 ) 0.066 * * [simplify]: iteration 1 : 175 enodes (cost 22 ) 0.070 * * [simplify]: iteration 2 : 572 enodes (cost 22 ) 0.085 * * [simplify]: iteration 3 : 2347 enodes (cost 22 ) 0.160 * * [simplify]: iteration 4 : 5001 enodes (cost 22 ) 0.160 * [simplify]: Simplified to: (+ (pow x 3) (pow (* x x) 3)) (- (+ (pow x 2) (pow x 4)) (pow x 3)) (* x (- x (pow x 3))) (- x (* x x)) (+ x 1) (+ x 1) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 0.160 * * * [progress]: adding candidates to table 0.174 * * [progress]: iteration 2 / 4 0.174 * * * [progress]: picking best candidate 0.175 * * * * [pick]: Picked # 0.175 * * * [progress]: localizing error 0.178 * * * [progress]: generating rewritten candidates 0.178 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.181 * * * [progress]: generating series expansions 0.181 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.181 * [approximate]: Taking taylor expansion of (* x (+ x 1)) in (x) around 0 0.181 * [taylor]: Taking taylor expansion of (* x (+ x 1)) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of 1 in x 0.181 * [taylor]: Taking taylor expansion of (* x (+ x 1)) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of 1 in x 0.189 * [approximate]: Taking taylor expansion of (/ (+ 1 (/ 1 x)) x) in (x) around 0 0.189 * [taylor]: Taking taylor expansion of (/ (+ 1 (/ 1 x)) x) in x 0.189 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of 1 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (/ (+ 1 (/ 1 x)) x) in x 0.190 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.190 * [taylor]: Taking taylor expansion of 1 in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.200 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in (x) around 0 0.200 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in x 0.200 * [taylor]: Taking taylor expansion of -1 in x 0.200 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) x) in x 0.200 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.200 * [taylor]: Taking taylor expansion of 1 in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in x 0.201 * [taylor]: Taking taylor expansion of -1 in x 0.201 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) x) in x 0.201 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of 1 in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.218 * * * [progress]: simplifying candidates 0.218 * [simplify]: Simplifying using # : (* (+ (pow x 3) (pow 1 3)) x) (* (- (* x x) (* 1 1)) x) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 0.220 * * [simplify]: iteration 0 : 38 enodes (cost 12 ) 0.222 * * [simplify]: iteration 1 : 119 enodes (cost 12 ) 0.225 * * [simplify]: iteration 2 : 416 enodes (cost 12 ) 0.236 * * [simplify]: iteration 3 : 1771 enodes (cost 10 ) 0.290 * * [simplify]: iteration 4 : 5001 enodes (cost 10 ) 0.291 * [simplify]: Simplified to: (+ x (pow x 4)) (- (pow x 3) x) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 0.291 * * * [progress]: adding candidates to table 0.299 * * [progress]: iteration 3 / 4 0.299 * * * [progress]: picking best candidate 0.302 * * * * [pick]: Picked # 0.302 * * * [progress]: localizing error 0.308 * * * [progress]: generating rewritten candidates 0.308 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.313 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.317 * * * [progress]: generating series expansions 0.317 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.317 * [approximate]: Taking taylor expansion of (/ (- (pow x 3) x) (- x 1)) in (x) around 0 0.317 * [taylor]: Taking taylor expansion of (/ (- (pow x 3) x) (- x 1)) in x 0.317 * [taylor]: Taking taylor expansion of (- (pow x 3) x) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (- x 1) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of 1 in x 0.319 * [taylor]: Taking taylor expansion of (/ (- (pow x 3) x) (- x 1)) in x 0.319 * [taylor]: Taking taylor expansion of (- (pow x 3) x) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (- x 1) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of 1 in x 0.337 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 3)) (/ 1 x)) (- (/ 1 x) 1)) in (x) around 0 0.337 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 3)) (/ 1 x)) (- (/ 1 x) 1)) in x 0.337 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 3)) (/ 1 x)) in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of 1 in x 0.339 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 3)) (/ 1 x)) (- (/ 1 x) 1)) in x 0.339 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 3)) (/ 1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of 1 in x 0.370 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 x)))) in (x) around 0 0.370 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 x)))) in x 0.370 * [taylor]: Taking taylor expansion of -1 in x 0.370 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 x))) in x 0.370 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow x 3))) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.371 * [taylor]: Taking taylor expansion of 1 in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 x)))) in x 0.372 * [taylor]: Taking taylor expansion of -1 in x 0.372 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 x))) in x 0.372 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow x 3))) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.373 * [taylor]: Taking taylor expansion of 1 in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.409 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.409 * [approximate]: Taking taylor expansion of (- (pow x 3) x) in (x) around 0 0.409 * [taylor]: Taking taylor expansion of (- (pow x 3) x) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (- (pow x 3) x) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.421 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 3)) (/ 1 x)) in (x) around 0 0.422 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 3)) (/ 1 x)) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.422 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 3)) (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.423 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.445 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow x 3))) in (x) around 0 0.445 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow x 3))) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.445 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow x 3))) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.446 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.473 * * * [progress]: simplifying candidates 0.473 * [simplify]: Simplifying using # : (- (- (pow x 3) x)) (- (- x 1)) (/ (pow x 3) (- x 1)) (/ x (- x 1)) (/ 1 (- x 1)) (/ (- x 1) (- (pow x 3) x)) (/ (- (pow x 3) x) (- (pow x 3) (pow 1 3))) (/ (- (pow x 3) x) (- (* x x) (* 1 1))) (* (- x 1) (+ (* (pow x 3) (pow x 3)) (+ (* x x) (* (pow x 3) x)))) (* (- x 1) (+ (pow x 3) x)) (- (pow (pow x 3) 3) (pow x 3)) (+ (* (pow x 3) (pow x 3)) (+ (* x x) (* (pow x 3) x))) (- x) (- (* (pow x 3) (pow x 3)) (* x x)) (+ (pow x 3) x) (- x) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) (- (pow x 3) x) (- (pow x 3) x) (- (pow x 3) x) 0.476 * * [simplify]: iteration 0 : 100 enodes (cost 66 ) 0.479 * * [simplify]: iteration 1 : 356 enodes (cost 65 ) 0.487 * * [simplify]: iteration 2 : 1600 enodes (cost 65 ) 0.533 * * [simplify]: iteration 3 : 5001 enodes (cost 65 ) 0.534 * [simplify]: Simplified to: (- (- (pow x 3) x)) (- (- x 1)) (/ (pow x 3) (- x 1)) (/ x (- x 1)) (/ 1 (- x 1)) (/ (- x 1) (- (pow x 3) x)) (/ (- (pow x 3) x) (- (pow x 3) 1)) (/ (- (pow x 3) x) (- (* x x) 1)) (* (+ (+ (pow x 6) (pow x 2)) (pow x 4)) (- x 1)) (* (- x 1) (+ (pow x 3) x)) (- (pow (pow x 3) 3) (pow x 3)) (+ (+ (pow x 6) (pow x 2)) (pow x 4)) (- x) (- (pow x 6) (pow x 2)) (+ (pow x 3) x) (- x) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) (- (pow x 3) x) (- (pow x 3) x) (- (pow x 3) x) 0.534 * * * [progress]: adding candidates to table 0.563 * [progress]: [Phase 3 of 3] Extracting. 0.563 * * [regime]: Finding splitpoints for: (# #) 0.563 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (* x x)) x) 0.563 * * * * [regimes]: Trying to branch on (+ x (* x x)) from (# #) 0.576 * * * * [regimes]: Trying to branch on x from (# #) 0.586 * * * [regime]: Found split indices: #