9.658 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (+ (* x (* x x)) (* x x)) 0.017 * * [simplify]: iteration 0 : 13 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 39 enodes (cost 3 ) 0.022 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.024 * * [simplify]: iteration 4 : 181 enodes (cost 3 ) 0.029 * * [simplify]: iteration 5 : 682 enodes (cost 3 ) 0.047 * * [simplify]: iteration 6 : 2463 enodes (cost 3 ) 0.124 * * [simplify]: iteration 7 : 5001 enodes (cost 3 ) 0.125 * [simplify]: Simplified to: (* x (+ (* x x) x)) 0.127 * * [progress]: iteration 1 / 4 0.127 * * * [progress]: picking best candidate 0.128 * * * * [pick]: Picked # 0.128 * * * [progress]: localizing error 0.133 * * * [progress]: generating rewritten candidates 0.133 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.144 * * * [progress]: generating series expansions 0.144 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.144 * [approximate]: Taking taylor expansion of (* x (+ (pow x 2) x)) in (x) around 0 0.144 * [taylor]: Taking taylor expansion of (* x (+ (pow x 2) x)) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (* x (+ (pow x 2) x)) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.158 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 x)) x) in (x) around 0 0.158 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.181 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) in (x) around 0 0.181 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) in x 0.181 * [taylor]: Taking taylor expansion of -1 in x 0.181 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.181 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) in x 0.183 * [taylor]: Taking taylor expansion of -1 in x 0.183 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.183 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.207 * * * [progress]: simplifying candidates 0.208 * [simplify]: Simplifying using # : (* x (+ (* x x) x)) (+ (log x) (log (+ (* x x) x))) (log (* x (+ (* x x) x))) (exp (* x (+ (* x x) x))) (* (* (* x x) x) (* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x))) (* (cbrt (* x (+ (* x x) x))) (cbrt (* x (+ (* x x) x)))) (cbrt (* x (+ (* x x) x))) (* (* (* x (+ (* x x) x)) (* x (+ (* x x) x))) (* x (+ (* x x) x))) (sqrt (* x (+ (* x x) x))) (sqrt (* x (+ (* x x) x))) (* (sqrt x) (sqrt (+ (* x x) x))) (* (sqrt x) (sqrt (+ (* x x) x))) (* x (* x x)) (* x x) (* (* x x) x) (* x x) (* x (* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x)))) (* x (sqrt (+ (* x x) x))) (* x 1) (* x x) (* x (+ x 1)) (* (cbrt x) (+ (* x x) x)) (* (sqrt x) (+ (* x x) x)) (* x (+ (* x x) x)) (* x (+ (pow (* x x) 3) (pow x 3))) (* x (- (* (* x x) (* x x)) (* x x))) (+ (pow x 2) (pow x 3)) (+ (pow x 2) (pow x 3)) (+ (pow x 2) (pow x 3)) 0.211 * * [simplify]: iteration 0 : 129 enodes (cost 117 ) 0.215 * * [simplify]: iteration 1 : 713 enodes (cost 102 ) 0.233 * * [simplify]: iteration 2 : 3504 enodes (cost 100 ) 0.314 * * [simplify]: iteration 3 : 5002 enodes (cost 99 ) 0.315 * [simplify]: Simplified to: (* x (+ (* x x) x)) (log (* x (+ (* x x) x))) (log (* x (+ (* x x) x))) (exp (* x (+ (* x x) x))) (pow (* x (+ (* x x) x)) 3) (* (cbrt (* x (+ (* x x) x))) (cbrt (* x (+ (* x x) x)))) (cbrt (* x (+ (* x x) x))) (pow (* x (+ (* x x) x)) 3) (sqrt (* x (+ (* x x) x))) (sqrt (* x (+ (* x x) x))) (* (sqrt (+ (* x x) x)) (pow x 1/2)) (* (sqrt (+ (* x x) x)) (pow x 1/2)) (pow x 3) (pow x 2) (pow x 3) (pow x 2) (* x (* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x)))) (* x (sqrt (+ (* x x) x))) x (pow x 2) (* x (+ x 1)) (* (cbrt x) (+ (* x x) x)) (* (pow x 3/2) (+ x 1)) (* x (+ (* x x) x)) (+ (pow x 7) (pow x 4)) (* x (* x (- (pow x 3) x))) (* x (+ (* x x) x)) (* x (+ (* x x) x)) (* x (+ (* x x) x)) 0.315 * * * [progress]: adding candidates to table 0.352 * * [progress]: iteration 2 / 4 0.352 * * * [progress]: picking best candidate 0.353 * * * * [pick]: Picked # 0.353 * * * [progress]: localizing error 0.357 * * * [progress]: generating rewritten candidates 0.357 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.370 * * * [progress]: generating series expansions 0.370 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.370 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ x 1)) in (x) around 0 0.370 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ x 1)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of 1 in x 0.371 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ x 1)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of 1 in x 0.382 * [approximate]: Taking taylor expansion of (/ (+ 1 (/ 1 x)) (pow x 2)) in (x) around 0 0.382 * [taylor]: Taking taylor expansion of (/ (+ 1 (/ 1 x)) (pow x 2)) in x 0.382 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of 1 in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (/ (+ 1 (/ 1 x)) (pow x 2)) in x 0.383 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of 1 in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.397 * [approximate]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (pow x 2)) in (x) around 0 0.397 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (pow x 2)) in x 0.397 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of 1 in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (pow x 2)) in x 0.398 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of 1 in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.417 * * * [progress]: simplifying candidates 0.418 * [simplify]: Simplifying using # : (+ (* (log x) 2) (log (+ x 1))) (+ (* (log x) 2) (log (+ x 1))) (+ (log (pow x 2)) (log (+ x 1))) (log (* (pow x 2) (+ x 1))) (exp (* (pow x 2) (+ x 1))) (* (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (+ x 1) (+ x 1)) (+ x 1))) (* (cbrt (* (pow x 2) (+ x 1))) (cbrt (* (pow x 2) (+ x 1)))) (cbrt (* (pow x 2) (+ x 1))) (* (* (* (pow x 2) (+ x 1)) (* (pow x 2) (+ x 1))) (* (pow x 2) (+ x 1))) (sqrt (* (pow x 2) (+ x 1))) (sqrt (* (pow x 2) (+ x 1))) (* (pow (sqrt x) 2) (sqrt (+ x 1))) (* (pow (sqrt x) 2) (sqrt (+ x 1))) (* x (sqrt (+ x 1))) (* x (sqrt (+ x 1))) (* (sqrt (pow x 2)) (sqrt (+ x 1))) (* (sqrt (pow x 2)) (sqrt (+ x 1))) (* (pow x (/ 2 2)) (sqrt (+ x 1))) (* (pow x (/ 2 2)) (sqrt (+ x 1))) (* (pow x 2) x) (* (pow x 2) 1) (* x (pow x 2)) (* 1 (pow x 2)) (* (pow x 2) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (pow x 2) (sqrt (+ x 1))) (* (pow x 2) 1) (* (pow x 2) 1) (* (pow (cbrt x) 2) (+ x 1)) (* (pow (sqrt x) 2) (+ x 1)) (* (pow x 2) (+ x 1)) (* x (+ x 1)) (* (cbrt (pow x 2)) (+ x 1)) (* (sqrt (pow x 2)) (+ x 1)) (* (pow x 2) (+ x 1)) (* (pow x (/ 2 2)) (+ x 1)) (* (pow x 2) (+ (pow x 3) (pow 1 3))) (* (pow x 2) (- (* x x) (* 1 1))) (+ (pow x 2) (pow x 3)) (+ (pow x 2) (pow x 3)) (+ (pow x 2) (pow x 3)) 0.421 * * [simplify]: iteration 0 : 183 enodes (cost 153 ) 0.426 * * [simplify]: iteration 1 : 923 enodes (cost 134 ) 0.449 * * [simplify]: iteration 2 : 5001 enodes (cost 131 ) 0.450 * [simplify]: Simplified to: (log (* (pow x 2) (+ x 1))) (log (* (pow x 2) (+ x 1))) (log (* (pow x 2) (+ x 1))) (log (* (pow x 2) (+ x 1))) (exp (* (pow x 2) (+ x 1))) (pow (* (pow x 2) (+ x 1)) 3) (* (cbrt (* (pow x 2) (+ x 1))) (cbrt (* (pow x 2) (+ x 1)))) (cbrt (* (pow x 2) (+ x 1))) (pow (* (pow x 2) (+ x 1)) 3) (sqrt (* (pow x 2) (+ x 1))) (sqrt (* (pow x 2) (+ x 1))) (* (sqrt (+ x 1)) x) (* (sqrt (+ x 1)) x) (* (sqrt (+ x 1)) x) (* (sqrt (+ x 1)) x) (* (sqrt (+ x 1)) (fabs x)) (* (sqrt (+ x 1)) (fabs x)) (* (sqrt (+ x 1)) x) (* (sqrt (+ x 1)) x) (pow x 3) (pow x 2) (pow x 3) (pow x 2) (* (pow x 2) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (pow x 2) (sqrt (+ x 1))) (pow x 2) (pow x 2) (* (pow (cbrt x) 2) (+ x 1)) (* (+ x 1) x) (* (pow x 2) (+ x 1)) (* (+ x 1) x) (* (cbrt (pow x 2)) (+ x 1)) (* (fabs x) (+ x 1)) (* (pow x 2) (+ x 1)) (* (+ x 1) x) (+ (pow x 5) (pow x 2)) (* (pow x 2) (- (* x x) 1)) (* (pow x 2) (+ x 1)) (* (pow x 2) (+ x 1)) (* (pow x 2) (+ x 1)) 0.450 * * * [progress]: adding candidates to table 0.499 * [progress]: [Phase 3 of 3] Extracting. 0.499 * * [regime]: Finding splitpoints for: (# #) 0.499 * * * [regime-changes]: Trying 1 branch expressions: (x) 0.499 * * * * [regimes]: Trying to branch on x from (# #) 0.508 * * * [regime]: Found split indices: #