11.107 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (+ (* x (* x x)) (* x x)) 0.012 * [simplify]: Sending expressions to egg_math: (+ (* h0 (* h0 h0)) (* h0 h0)) 0.014 * * [simplify]: iteration 0 : 13 enodes (cost 3 ) 0.016 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.017 * * [simplify]: iteration 2 : 39 enodes (cost 3 ) 0.019 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.021 * * [simplify]: iteration 4 : 181 enodes (cost 3 ) 0.026 * * [simplify]: iteration 5 : 682 enodes (cost 3 ) 0.043 * * [simplify]: iteration 6 : 2463 enodes (cost 3 ) 0.119 * * [simplify]: iteration 7 : 5001 enodes (cost 3 ) 0.120 * [simplify]: Simplified to: (* x (+ (* x x) x)) 0.121 * * [progress]: iteration 1 / 4 0.121 * * * [progress]: picking best candidate 0.123 * * * * [pick]: Picked # 0.123 * * * [progress]: localizing error 0.127 * * * [progress]: generating rewritten candidates 0.127 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.143 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.164 * * * [progress]: generating series expansions 0.164 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.164 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 0.164 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.172 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.173 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.183 * [approximate]: Taking taylor expansion of (/ -1 (pow x 3)) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 0.183 * [taylor]: Taking taylor expansion of -1 in x 0.184 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 0.184 * [taylor]: Taking taylor expansion of -1 in x 0.184 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.195 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.195 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow x 3)) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow x 3)) in x 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow x 3)) in x 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.209 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) in (x) around 0 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.211 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.231 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow x 3))) in (x) around 0 0.231 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow x 3))) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.232 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow x 3))) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.233 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.258 * * * [progress]: simplifying candidates 0.258 * [simplify]: Simplifying using # : (+ 1 (+ 1 1)) (+ 1 2) (+ 1 (+ 1 1)) (+ 1 (* 2 1)) (* x (* x x)) (* x (* x x)) (+ (log x) (+ (log x) (log x))) (+ (log x) (log (* x x))) (log (* x (* x x))) (exp (* x (* x x))) (* (* (* x x) x) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) x) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (* x (* x x))) (cbrt (* x (* x x)))) (cbrt (* x (* x x))) (* (* (* x (* x x)) (* x (* x x))) (* x (* x x))) (sqrt (* x (* x x))) (sqrt (* x (* x x))) (* (sqrt x) x) (* (sqrt x) x) (* x x) (* (cbrt x) (* x x)) (* (sqrt x) (* x x)) (* x (* x x)) (* (exp (* x (* x x))) (exp (* x x))) (log (+ (* x (* x x)) (* x x))) (exp (+ (* x (* x x)) (* x x))) (* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x)))) (cbrt (+ (* x (* x x)) (* x x))) (* (* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x))) (+ (* x (* x x)) (* x x))) (sqrt (+ (* x (* x x)) (* x x))) (sqrt (+ (* x (* x x)) (* x x))) (+ (pow (* x (* x 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 (* x x))) (* (* x x) (* x x))) (- (* x (* x x)) (* x x)) (+ (* x x) x) (+ x 1) (pow x 3) (pow x 3) (pow x 3) (+ (pow x 2) (pow x 3)) (+ (pow x 2) (pow x 3)) (+ (pow x 2) (pow x 3)) 0.259 * [simplify]: Sending expressions to egg_math: (+ 1 (+ 1 1)) (+ 1 2) (+ 1 (+ 1 1)) (+ 1 (* 2 1)) (* h0 (* h0 h0)) (* h0 (* h0 h0)) (+ (log h0) (+ (log h0) (log h0))) (+ (log h0) (log (* h0 h0))) (log (* h0 (* h0 h0))) (exp (* h0 (* h0 h0))) (* (* (* h0 h0) h0) (* (* (* h0 h0) h0) (* (* h0 h0) h0))) (* (* (* h0 h0) h0) (* (* (* h0 h0) (* h0 h0)) (* h0 h0))) (* (cbrt (* h0 (* h0 h0))) (cbrt (* h0 (* h0 h0)))) (cbrt (* h0 (* h0 h0))) (* (* (* h0 (* h0 h0)) (* h0 (* h0 h0))) (* h0 (* h0 h0))) (sqrt (* h0 (* h0 h0))) (sqrt (* h0 (* h0 h0))) (* (sqrt h0) h0) (* (sqrt h0) h0) (* h0 h0) (* (cbrt h0) (* h0 h0)) (* (sqrt h0) (* h0 h0)) (* h0 (* h0 h0)) (* (exp (* h0 (* h0 h0))) (exp (* h0 h0))) (log (+ (* h0 (* h0 h0)) (* h0 h0))) (exp (+ (* h0 (* h0 h0)) (* h0 h0))) (* (cbrt (+ (* h0 (* h0 h0)) (* h0 h0))) (cbrt (+ (* h0 (* h0 h0)) (* h0 h0)))) (cbrt (+ (* h0 (* h0 h0)) (* h0 h0))) (* (* (+ (* h0 (* h0 h0)) (* h0 h0)) (+ (* h0 (* h0 h0)) (* h0 h0))) (+ (* h0 (* h0 h0)) (* h0 h0))) (sqrt (+ (* h0 (* h0 h0)) (* h0 h0))) (sqrt (+ (* h0 (* h0 h0)) (* h0 h0))) (+ (pow (* h0 (* h0 h0)) 3) (pow (* h0 h0) 3)) (+ (* (* h0 (* h0 h0)) (* h0 (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (* h0 (* h0 h0)) (* h0 h0)))) (- (* (* h0 (* h0 h0)) (* h0 (* h0 h0))) (* (* h0 h0) (* h0 h0))) (- (* h0 (* h0 h0)) (* h0 h0)) (+ (* h0 h0) h0) (+ h0 1) (pow h0 3) (pow h0 3) (pow h0 3) (+ (pow h0 2) (pow h0 3)) (+ (pow h0 2) (pow h0 3)) (+ (pow h0 2) (pow h0 3)) 0.262 * * [simplify]: iteration 0 : 158 enodes (cost 147 ) 0.266 * * [simplify]: iteration 1 : 646 enodes (cost 107 ) 0.280 * * [simplify]: iteration 2 : 2546 enodes (cost 106 ) 0.350 * * [simplify]: iteration 3 : 5002 enodes (cost 102 ) 0.351 * [simplify]: Simplified to: 3 3 3 3 (pow x 3) (pow x 3) (* 3 (log x)) (* 3 (log x)) (* 3 (log x)) (exp (pow x 3)) (pow (pow x 3) 3) (pow (pow x 3) 3) (pow x 2) x (pow (pow x 3) 3) (fabs (pow x 3/2)) (fabs (pow x 3/2)) (pow x 3/2) (pow x 3/2) (pow x 2) (* (cbrt x) (* x x)) (pow x 5/2) (pow x 3) (pow (exp x) (+ (* x x) x)) (log (+ (* x (* x x)) (* x x))) (pow (exp x) (+ (* x x) x)) (* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x)))) (cbrt (+ (* x (* x x)) (* x x))) (pow (* x (+ (* x x) x)) 3) (sqrt (+ (* x (* x x)) (* x x))) (sqrt (+ (* x (* x x)) (* x x))) (* (+ (pow x 3) 1) (pow x 6)) (* (pow x 4) (- (+ (pow x 2) 1) x)) (- (pow x 6) (pow x 4)) (* x (- (pow x 2) x)) (+ (* x x) x) (+ x 1) (pow x 3) (pow x 3) (pow x 3) (* x (+ (* x x) x)) (* x (+ (* x x) x)) (* x (+ (* x x) x)) 0.351 * * * [progress]: adding candidates to table 0.405 * * [progress]: iteration 2 / 4 0.405 * * * [progress]: picking best candidate 0.406 * * * * [pick]: Picked # 0.406 * * * [progress]: localizing error 0.410 * * * [progress]: generating rewritten candidates 0.410 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.437 * * * [progress]: generating series expansions 0.437 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.437 * [approximate]: Taking taylor expansion of (* x (+ (pow x 2) x)) in (x) around 0 0.437 * [taylor]: Taking taylor expansion of (* x (+ (pow x 2) x)) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (* x (+ (pow x 2) x)) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.451 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 x)) x) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.469 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) in (x) around 0 0.469 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) in x 0.469 * [taylor]: Taking taylor expansion of -1 in x 0.469 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.469 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) in x 0.470 * [taylor]: Taking taylor expansion of -1 in x 0.470 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.470 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.493 * * * [progress]: simplifying candidates 0.494 * [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)) 0.494 * [simplify]: Sending expressions to egg_math: (* h0 (+ (* h0 h0) h0)) (+ (log h0) (log (+ (* h0 h0) h0))) (log (* h0 (+ (* h0 h0) h0))) (exp (* h0 (+ (* h0 h0) h0))) (* (* (* h0 h0) h0) (* (* (+ (* h0 h0) h0) (+ (* h0 h0) h0)) (+ (* h0 h0) h0))) (* (cbrt (* h0 (+ (* h0 h0) h0))) (cbrt (* h0 (+ (* h0 h0) h0)))) (cbrt (* h0 (+ (* h0 h0) h0))) (* (* (* h0 (+ (* h0 h0) h0)) (* h0 (+ (* h0 h0) h0))) (* h0 (+ (* h0 h0) h0))) (sqrt (* h0 (+ (* h0 h0) h0))) (sqrt (* h0 (+ (* h0 h0) h0))) (* (sqrt h0) (sqrt (+ (* h0 h0) h0))) (* (sqrt h0) (sqrt (+ (* h0 h0) h0))) (* h0 (* h0 h0)) (* h0 h0) (* (* h0 h0) h0) (* h0 h0) (* h0 (* (cbrt (+ (* h0 h0) h0)) (cbrt (+ (* h0 h0) h0)))) (* h0 (sqrt (+ (* h0 h0) h0))) (* h0 1) (* h0 h0) (* h0 (+ h0 1)) (* (cbrt h0) (+ (* h0 h0) h0)) (* (sqrt h0) (+ (* h0 h0) h0)) (* h0 (+ (* h0 h0) h0)) (* h0 (+ (pow (* h0 h0) 3) (pow h0 3))) (* h0 (- (* (* h0 h0) (* h0 h0)) (* h0 h0))) (+ (pow h0 2) (pow h0 3)) (+ (pow h0 2) (pow h0 3)) (+ (pow h0 2) (pow h0 3)) 0.497 * * [simplify]: iteration 0 : 129 enodes (cost 117 ) 0.500 * * [simplify]: iteration 1 : 713 enodes (cost 102 ) 0.517 * * [simplify]: iteration 2 : 3504 enodes (cost 100 ) 0.596 * * [simplify]: iteration 3 : 5002 enodes (cost 100 ) 0.597 * [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)) (* (sqrt x) (+ (* x x) x)) (* 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)) 0.597 * * * [progress]: adding candidates to table 0.635 * [progress]: [Phase 3 of 3] Extracting. 0.635 * * [regime]: Finding splitpoints for: (# #) 0.635 * * * [regime-changes]: Trying 2 branch expressions: ((+ (* x (* x x)) (* x x)) x) 0.635 * * * * [regimes]: Trying to branch on (+ (* x (* x x)) (* x x)) from (# #) 0.643 * * * * [regimes]: Trying to branch on x from (# #) 0.654 * * * [regime]: Found split indices: #