8.185 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (+ (* x (* x x)) (* x x)) 0.027 * * [simplify]: iteration 0 : 13 enodes (cost 3 ) 0.029 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.031 * * [simplify]: iteration 2 : 39 enodes (cost 3 ) 0.033 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.035 * * [simplify]: iteration 4 : 181 enodes (cost 3 ) 0.041 * * [simplify]: iteration 5 : 682 enodes (cost 3 ) 0.060 * * [simplify]: iteration 6 : 2463 enodes (cost 3 ) 0.144 * * [simplify]: iteration 7 : 5001 enodes (cost 3 ) 0.144 * [simplify]: Simplified to: (* x (+ (* x x) x)) 0.146 * * [progress]: iteration 1 / 4 0.146 * * * [progress]: picking best candidate 0.148 * * * * [pick]: Picked # 0.148 * * * [progress]: localizing error 0.152 * * * [progress]: generating rewritten candidates 0.152 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.164 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.201 * * * [progress]: generating series expansions 0.201 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.201 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 0.201 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.213 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.213 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.226 * [approximate]: Taking taylor expansion of (/ -1 (pow x 3)) in (x) around 0 0.226 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 0.226 * [taylor]: Taking taylor expansion of -1 in x 0.226 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 0.227 * [taylor]: Taking taylor expansion of -1 in x 0.227 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.238 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.238 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow x 3)) in (x) around 0 0.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow x 3)) in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow x 3)) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.255 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) in (x) around 0 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.279 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow x 3))) in (x) around 0 0.279 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow x 3))) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow x 3))) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.311 * * * [progress]: simplifying candidates 0.313 * [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) (* (sqrt x) (sqrt (* x x))) (* (sqrt x) (sqrt (* x x))) (* (sqrt x) (* (sqrt x) (sqrt x))) (* (sqrt x) (* (sqrt x) (sqrt x))) (* (sqrt x) (* (sqrt x) (sqrt x))) (* (sqrt x) (* (sqrt x) (sqrt x))) (* (sqrt x) x) (* (sqrt x) x) (* x x) (* x (* (cbrt (* x x)) (cbrt (* x x)))) (* x (sqrt (* x x))) (* x 1) (* x (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (* x (* (sqrt x) (sqrt x))) (* x (* 1 1)) (* x (* (sqrt x) (sqrt x))) (* x (* x (* (cbrt x) (cbrt x)))) (* x (* x (sqrt x))) (* x (* x 1)) (* x (* (cbrt x) (cbrt x))) (* x (sqrt x)) (* x 1) (* 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 x) x) (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x)) (+ (* x x) x) (+ (* (cbrt x) x) (cbrt x)) (+ (* (sqrt x) x) (sqrt x)) (+ (* x x) x) (+ (* (cbrt x) (* x x)) (* (cbrt x) x)) (+ (* (sqrt x) (* x x)) (* (sqrt x) x)) (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x)) (+ x 1) (+ x (* 1 1)) (+ x 1) (+ (* (sqrt x) x) (sqrt x)) (+ (* (sqrt x) x) (sqrt x)) (+ (* x x) x) (+ (* x x) (* x 1)) (+ (* x x) x) (+ (* x (* (cbrt (* x x)) (cbrt (* x x)))) (* (cbrt (* x x)) (cbrt (* x x)))) (+ (* x (sqrt (* x x))) (sqrt (* x x))) (+ (* x 1) 1) (+ (* x 1) (* 1 1)) (+ (* x 1) 1) (+ (* x (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (+ (* x (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x))) (+ (* x (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x))) (+ (* x (* 1 1)) 1) (+ (* x (* 1 1)) (* 1 1)) (+ (* x (* 1 1)) 1) (+ (* x (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x))) (+ (* x (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x))) (+ (* x (* x (* (cbrt x) (cbrt x)))) (* x (* (cbrt x) (cbrt x)))) (+ (* x (* x (sqrt x))) (* x (sqrt x))) (+ (* x (* x 1)) x) (+ (* x (* x 1)) (* x 1)) (+ (* x (* x 1)) x) (+ (* x (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (+ (* x (sqrt x)) (sqrt x)) (+ (* x 1) 1) (+ (* x 1) (* 1 1)) (+ (* x 1) 1) (+ (* x x) x) (+ (* x x) (* x 1)) (+ (* x x) x) (+ (* x x) x) (+ (* x x) (* x 1)) (+ (* x x) x) (+ x 1) (+ (* x 1) 1) (+ (* x (* 1 1)) 1) (+ (* x 1) 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)) 0.318 * * [simplify]: iteration 0 : 263 enodes (cost 322 ) 0.324 * * [simplify]: iteration 1 : 1179 enodes (cost 275 ) 0.359 * * [simplify]: iteration 2 : 5001 enodes (cost 268 ) 0.361 * [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) (* x x) x (pow (pow x 3) 3) (fabs (pow x 3/2)) (fabs (pow x 3/2)) (pow (sqrt x) 3) (pow (sqrt x) 3) (* (fabs x) (sqrt x)) (* (fabs x) (sqrt x)) (pow (sqrt x) 3) (pow (sqrt x) 3) (pow (sqrt x) 3) (pow (sqrt x) 3) (pow (sqrt x) 3) (pow (sqrt x) 3) (* x x) (* x (* (cbrt (* x x)) (cbrt (* x x)))) (* (fabs x) x) x (* (* x x) (cbrt x)) (* x x) x (* x x) (* x (* x (* (cbrt x) (cbrt x)))) (pow (sqrt x) 5) (* x x) (* x (* (cbrt x) (cbrt x))) (pow (sqrt x) 3) x (* x x) (* (* x x) (cbrt x)) (pow (sqrt x) 5) (pow x 3) (exp (+ (pow x 3) (* x x))) (log (+ (* x (* x x)) (* x x))) (exp (+ (pow x 3) (* 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) (- (+ (* x x) 1) x)) (- (pow x 6) (pow x 4)) (* x (- (pow x 2) x)) (* x (+ x 1)) (* x (+ x 1)) (* x (+ (* x x) x)) (* x (+ (* x x) x)) (* x (+ x 1)) (* (cbrt x) (+ x 1)) (* (+ x 1) (sqrt x)) (* x (+ x 1)) (* (cbrt x) (+ (* x x) x)) (* (+ x 1) (* x (sqrt x))) (* x (+ (* x x) x)) (* x (+ (* x x) x)) (+ x 1) (+ x 1) (+ x 1) (* (+ x 1) (sqrt x)) (* (+ x 1) (sqrt x)) (* x (+ x 1)) (* x (+ x 1)) (* x (+ x 1)) (* (+ x 1) (* (cbrt (* x x)) (cbrt (* x x)))) (* (+ x 1) (fabs x)) (+ x 1) (+ x 1) (+ x 1) (* (cbrt x) (+ (* x x) x)) (* x (+ x 1)) (* x (+ x 1)) (+ x 1) (+ x 1) (+ x 1) (* x (+ x 1)) (* x (+ x 1)) (* (+ x 1) (* x (* (cbrt x) (cbrt x)))) (* (+ x 1) (* x (sqrt x))) (* x (+ x 1)) (* x (+ x 1)) (* x (+ x 1)) (* (+ x 1) (* (cbrt x) (cbrt x))) (* (+ x 1) (sqrt x)) (+ x 1) (+ x 1) (+ x 1) (* x (+ x 1)) (* x (+ x 1)) (* x (+ x 1)) (* x (+ x 1)) (* x (+ x 1)) (* x (+ x 1)) (+ x 1) (+ x 1) (+ x 1) (+ x 1) (pow x 3) (pow x 3) (pow x 3) (* x (+ (* x x) x)) (* x (+ (* x x) x)) (* x (+ (* x x) x)) 0.361 * * * [progress]: adding candidates to table 0.468 * * [progress]: iteration 2 / 4 0.468 * * * [progress]: picking best candidate 0.470 * * * * [pick]: Picked # 0.470 * * * [progress]: localizing error 0.476 * * * [progress]: generating rewritten candidates 0.476 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.492 * * * [progress]: generating series expansions 0.492 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.492 * [approximate]: Taking taylor expansion of (* x (+ (pow x 2) x)) in (x) around 0 0.492 * [taylor]: Taking taylor expansion of (* x (+ (pow x 2) x)) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (* x (+ (pow x 2) x)) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.511 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 x)) x) in (x) around 0 0.511 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.531 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) in (x) around 0 0.531 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) in x 0.531 * [taylor]: Taking taylor expansion of -1 in x 0.531 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.531 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) in x 0.533 * [taylor]: Taking taylor expansion of -1 in x 0.533 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.533 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.558 * * * [progress]: simplifying candidates 0.558 * [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 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 1) (* x (* (cbrt x) (cbrt x))) (* x (sqrt x)) (* x 1) (* x x) (* x (cbrt x)) (* x (sqrt x)) (* x x) (* x x) (* x (+ x 1)) (* x (+ (* x 1) 1)) (* 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)) 0.562 * * [simplify]: iteration 0 : 142 enodes (cost 137 ) 0.565 * * [simplify]: iteration 1 : 724 enodes (cost 122 ) 0.583 * * [simplify]: iteration 2 : 3571 enodes (cost 120 ) 0.671 * * [simplify]: iteration 3 : 5001 enodes (cost 117 ) 0.672 * [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 2) (pow x 3) (pow x 3) (pow x 2) (pow x 2) (pow x 3) (* x (* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x)))) (* x (sqrt (+ (* x x) x))) x x (* x (* (cbrt x) (cbrt x))) (pow x 3/2) x (pow x 2) (* x (cbrt x)) (pow x 3/2) (pow x 2) (pow x 2) (* x (+ x 1)) (* x (+ x 1)) (* x (+ x 1)) (* (cbrt x) (+ (* x x) x)) (* (pow x 3/2) (+ 1 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)) 0.673 * * * [progress]: adding candidates to table 0.727 * * [progress]: iteration 3 / 4 0.727 * * * [progress]: picking best candidate 0.728 * * * * [pick]: Picked # 0.728 * * * [progress]: localizing error 0.737 * * * [progress]: generating rewritten candidates 0.737 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.754 * * * [progress]: generating series expansions 0.754 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.755 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ x 1)) in (x) around 0 0.755 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ x 1)) in x 0.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of 1 in x 0.755 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ x 1)) in x 0.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of 1 in x 0.767 * [approximate]: Taking taylor expansion of (/ (+ 1 (/ 1 x)) (pow x 2)) in (x) around 0 0.767 * [taylor]: Taking taylor expansion of (/ (+ 1 (/ 1 x)) (pow x 2)) in x 0.767 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.767 * [taylor]: Taking taylor expansion of 1 in x 0.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of (/ (+ 1 (/ 1 x)) (pow x 2)) in x 0.768 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.768 * [taylor]: Taking taylor expansion of 1 in x 0.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.783 * [approximate]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (pow x 2)) in (x) around 0 0.783 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (pow x 2)) in x 0.783 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.783 * [taylor]: Taking taylor expansion of 1 in x 0.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (pow x 2)) in x 0.784 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.784 * [taylor]: Taking taylor expansion of 1 in x 0.784 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.800 * * * [progress]: simplifying candidates 0.801 * [simplify]: Simplifying using # : (* (pow x 2) (+ (* x 1) 1)) (+ (* (log x) 2) (log (+ (* x 1) 1))) (+ (* (log x) 2) (log (+ (* x 1) 1))) (+ (log (pow x 2)) (log (+ (* x 1) 1))) (log (* (pow x 2) (+ (* x 1) 1))) (exp (* (pow x 2) (+ (* x 1) 1))) (* (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (+ (* x 1) 1) (+ (* x 1) 1)) (+ (* x 1) 1))) (* (cbrt (* (pow x 2) (+ (* x 1) 1))) (cbrt (* (pow x 2) (+ (* x 1) 1)))) (cbrt (* (pow x 2) (+ (* x 1) 1))) (* (* (* (pow x 2) (+ (* x 1) 1)) (* (pow x 2) (+ (* x 1) 1))) (* (pow x 2) (+ (* x 1) 1))) (sqrt (* (pow x 2) (+ (* x 1) 1))) (sqrt (* (pow x 2) (+ (* x 1) 1))) (* (pow (sqrt x) 2) (sqrt (+ (* x 1) 1))) (* (pow (sqrt x) 2) (sqrt (+ (* x 1) 1))) (* x (sqrt (+ (* x 1) 1))) (* x (sqrt (+ (* x 1) 1))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1) 1))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1) 1))) (* (pow x (/ 2 2)) (sqrt (+ (* x 1) 1))) (* (pow x (/ 2 2)) (sqrt (+ (* x 1) 1))) (* (pow x 2) (* x 1)) (* (pow x 2) 1) (* (pow x 2) 1) (* (pow x 2) (* x 1)) (* (* x 1) (pow x 2)) (* 1 (pow x 2)) (* 1 (pow x 2)) (* (* x 1) (pow x 2)) (* (pow x 2) (* (cbrt (+ (* x 1) 1)) (cbrt (+ (* x 1) 1)))) (* (pow x 2) (sqrt (+ (* x 1) 1))) (* (pow x 2) 1) (* (pow x 2) 1) (* (pow x 2) 1) (* (pow x 2) 1) (* (pow x 2) 1) (* (pow x 2) (cbrt 1)) (* (pow x 2) (sqrt 1)) (* (pow x 2) 1) (* (pow x 2) (+ x 1)) (* (pow x 2) (+ (* x 1) 1)) (* (pow (cbrt x) 2) (+ (* x 1) 1)) (* (pow (sqrt x) 2) (+ (* x 1) 1)) (* (pow x 2) (+ (* x 1) 1)) (* x (+ (* x 1) 1)) (* (cbrt (pow x 2)) (+ (* x 1) 1)) (* (sqrt (pow x 2)) (+ (* x 1) 1)) (* (pow x 2) (+ (* x 1) 1)) (* (pow x (/ 2 2)) (+ (* x 1) 1)) (* (pow x 2) (+ (pow (* x 1) 3) (pow 1 3))) (* (pow x 2) (- (* (* x 1) (* x 1)) (* 1 1))) (+ (pow x 2) (pow x 3)) (+ (pow x 2) (pow x 3)) (+ (pow x 2) (pow x 3)) 0.805 * * [simplify]: iteration 0 : 211 enodes (cost 205 ) 0.810 * * [simplify]: iteration 1 : 1025 enodes (cost 174 ) 0.836 * * [simplify]: iteration 2 : 5001 enodes (cost 166 ) 0.837 * [simplify]: Simplified to: (* (pow x 2) (+ x 1)) (log (* (pow x 2) (+ x 1))) (log (* (pow x 2) (+ x 1))) (log (* (pow x 2) (+ x 1))) (log (* (pow x 2) (+ x 1))) (pow (exp (+ 1 x)) (pow x 2)) (pow (* (pow x 2) (+ x 1)) 3) (* (cbrt (* (pow x 2) (+ (* x 1) 1))) (cbrt (* (pow x 2) (+ (* x 1) 1)))) (cbrt (* (pow x 2) (+ (* x 1) 1))) (pow (* (pow x 2) (+ x 1)) 3) (sqrt (* (pow x 2) (+ (* x 1) 1))) (sqrt (* (pow x 2) (+ (* x 1) 1))) (* (sqrt (+ (* x 1) 1)) x) (* (sqrt (+ (* x 1) 1)) x) (* (sqrt (+ (* x 1) 1)) x) (* (sqrt (+ (* x 1) 1)) x) (* (sqrt (+ (* x 1) 1)) (fabs x)) (* (sqrt (+ (* x 1) 1)) (fabs x)) (* (sqrt (+ (* x 1) 1)) x) (* (sqrt (+ (* x 1) 1)) x) (pow x 3) (pow x 2) (pow x 2) (pow x 3) (pow x 3) (pow x 2) (pow x 2) (pow x 3) (* (pow x 2) (* (cbrt (+ (* x 1) 1)) (cbrt (+ (* x 1) 1)))) (* (pow x 2) (sqrt (+ (* x 1) 1))) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (* (pow x 2) (+ x 1)) (* (pow x 2) (+ x 1)) (* (+ 1 x) (pow (cbrt x) 2)) (* (+ 1 x) x) (* (pow x 2) (+ x 1)) (* (+ 1 x) x) (* (+ 1 x) (cbrt (pow x 2))) (* (fabs x) (+ x 1)) (* (pow x 2) (+ x 1)) (* (+ 1 x) x) (+ (pow x 5) (pow x 2)) (+ (- (pow x 2)) (pow x 4)) (* (pow x 2) (+ x 1)) (* (pow x 2) (+ x 1)) (* (pow x 2) (+ x 1)) 0.837 * * * [progress]: adding candidates to table 0.912 * [progress]: [Phase 3 of 3] Extracting. 0.912 * * [regime]: Finding splitpoints for: (# # #) 0.912 * * * [regime-changes]: Trying 2 branch expressions: ((+ (* x (* x x)) (* x x)) x) 0.912 * * * * [regimes]: Trying to branch on (+ (* x (* x x)) (* x x)) from (# # #) 0.921 * * * * [regimes]: Trying to branch on x from (# # #) 0.934 * * * [regime]: Found split indices: #