42.402 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying using # : (/ (* x y) (* (* z z) (+ z 1.0))) 0.037 * * [simplify]: iteration 0 : 27 enodes (cost 5 ) 0.038 * * [simplify]: iteration 1 : 76 enodes (cost 5 ) 0.040 * * [simplify]: iteration 2 : 168 enodes (cost 5 ) 0.042 * * [simplify]: iteration 3 : 264 enodes (cost 5 ) 0.045 * * [simplify]: iteration 4 : 354 enodes (cost 5 ) 0.050 * * [simplify]: iteration 5 : 442 enodes (cost 5 ) 0.057 * * [simplify]: iteration 6 : 912 enodes (cost 5 ) 0.078 * * [simplify]: iteration 7 : 2430 enodes (cost 5 ) 0.151 * * [simplify]: iteration 8 : 5001 enodes (cost 5 ) 0.152 * [simplify]: Simplified to: (/ (* x y) (* (* z z) (+ z 1.0))) 0.152 * * [progress]: iteration 1 / 4 0.152 * * * [progress]: picking best candidate 0.156 * * * * [pick]: Picked # 0.156 * * * [progress]: localizing error 0.163 * * * [progress]: generating rewritten candidates 0.163 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.172 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.181 * * * [progress]: generating series expansions 0.181 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.181 * [approximate]: Approximating (/ (* x y) (* (pow z 2) (+ z 1.0))) in (x y z) around 0 0.184 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in y 0.185 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in z 0.188 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in y 0.188 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in z 0.189 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in z 0.195 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in y 0.195 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in z 0.195 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in z 0.197 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in z 0.202 * [approximate]: Approximating (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in (x y z) around 0 0.207 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 0.209 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in z 0.216 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 0.217 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in z 0.224 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 0.224 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in z 0.226 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in z 0.232 * [approximate]: Approximating (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in (x y z) around 0 0.238 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in y 0.240 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in z 0.244 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in y 0.246 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in z 0.253 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in y 0.253 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in z 0.255 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in z 0.262 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.262 * [approximate]: Approximating (* (pow z 2) (+ z 1.0)) in (z) around 0 0.277 * [approximate]: Approximating (/ (+ (/ 1 z) 1.0) (pow z 2)) in (z) around 0 0.300 * [approximate]: Approximating (/ (- 1.0 (/ 1 z)) (pow z 2)) in (z) around 0 0.323 * * * [progress]: simplifying candidates 0.324 * [simplify]: Simplifying using # : (- (+ (log x) (log y)) (+ (+ (log z) (log z)) (log (+ z 1.0)))) (- (+ (log x) (log y)) (+ (log (* z z)) (log (+ z 1.0)))) (- (+ (log x) (log y)) (log (* (* z z) (+ z 1.0)))) (- (log (* x y)) (+ (+ (log z) (log z)) (log (+ z 1.0)))) (- (log (* x y)) (+ (log (* z z)) (log (+ z 1.0)))) (- (log (* x y)) (log (* (* z z) (+ z 1.0)))) (log (/ (* x y) (* (* z z) (+ z 1.0)))) (exp (/ (* x y) (* (* z z) (+ z 1.0)))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (* (* z z) z) (* (* z z) z)) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0)))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (* (* z z) (* z z)) (* z z)) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0)))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (* (* z z) (+ z 1.0)) (* (* z z) (+ z 1.0))) (* (* z z) (+ z 1.0)))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (* (* z z) z) (* (* z z) z)) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0)))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (* (* z z) (* z z)) (* z z)) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0)))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (* (* z z) (+ z 1.0)) (* (* z z) (+ z 1.0))) (* (* z z) (+ z 1.0)))) (* (cbrt (/ (* x y) (* (* z z) (+ z 1.0)))) (cbrt (/ (* x y) (* (* z z) (+ z 1.0))))) (cbrt (/ (* x y) (* (* z z) (+ z 1.0)))) (* (* (/ (* x y) (* (* z z) (+ z 1.0))) (/ (* x y) (* (* z z) (+ z 1.0)))) (/ (* x y) (* (* z z) (+ z 1.0)))) (sqrt (/ (* x y) (* (* z z) (+ z 1.0)))) (sqrt (/ (* x y) (* (* z z) (+ z 1.0)))) (neg (* x y)) (neg (* (* z z) (+ z 1.0))) (/ x (* z z)) (/ y (+ z 1.0)) (/ 1 (* (* z z) (+ z 1.0))) (/ (* (* z z) (+ z 1.0)) (* x y)) (/ (* x y) (* z z)) (/ (* (* z z) (+ z 1.0)) y) (/ (* x y) (* (* z z) (+ (pow z 3) (pow 1.0 3)))) (/ (* x y) (* (* z z) (- (* z z) (* 1.0 1.0)))) (* (* z z) (+ z 1.0)) (* (* z z) (+ z 1.0)) (+ (+ (log z) (log z)) (log (+ z 1.0))) (+ (log (* z z)) (log (+ z 1.0))) (log (* (* z z) (+ z 1.0))) (exp (* (* z z) (+ z 1.0))) (* (* (* (* z z) z) (* (* z z) z)) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0))) (* (* (* (* z z) (* z z)) (* z z)) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0))) (* (cbrt (* (* z z) (+ z 1.0))) (cbrt (* (* z z) (+ z 1.0)))) (cbrt (* (* z z) (+ z 1.0))) (* (* (* (* z z) (+ z 1.0)) (* (* z z) (+ z 1.0))) (* (* z z) (+ z 1.0))) (sqrt (* (* z z) (+ z 1.0))) (sqrt (* (* z z) (+ z 1.0))) (* z (sqrt (+ z 1.0))) (* z (sqrt (+ z 1.0))) (* (* z z) z) (* (* z z) 1.0) (* z (* z z)) (* 1.0 (* z z)) (* (* z z) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (* (* z z) (sqrt (+ z 1.0))) (* (* z z) 1) (* (* z z) 1) (* z (+ z 1.0)) (* (* z z) (+ (pow z 3) (pow 1.0 3))) (* (* z z) (- (* z z) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (/ (* x y) (pow z 2)))) (* 1.0 (/ (* x y) z))) (- (+ (* 1.0 (/ (* x y) (pow z 5))) (/ (* x y) (pow z 3))) (* 1.0 (/ (* x y) (pow z 4)))) (- (+ (* 1.0 (/ (* x y) (pow z 5))) (/ (* x y) (pow z 3))) (* 1.0 (/ (* x y) (pow z 4)))) (+ (pow z 3) (* 1.0 (pow z 2))) (+ (pow z 3) (* 1.0 (pow z 2))) (+ (pow z 3) (* 1.0 (pow z 2))) 0.328 * * [simplify]: iteration 0 : 380 enodes (cost 385 ) 0.337 * * [simplify]: iteration 1 : 2326 enodes (cost 297 ) 0.378 * * [simplify]: iteration 2 : 5001 enodes (cost 297 ) 0.381 * [simplify]: Simplified to: (log (/ (* x y) (* (* z z) (+ z 1.0)))) (log (/ (* x y) (* (* z z) (+ z 1.0)))) (log (/ (* x y) (* (* z z) (+ z 1.0)))) (log (/ (* x y) (* (* z z) (+ z 1.0)))) (log (/ (* x y) (* (* z z) (+ z 1.0)))) (log (/ (* x y) (* (* z z) (+ z 1.0)))) (log (/ (* x y) (* (* z z) (+ z 1.0)))) (exp (/ (* x y) (* (* z z) (+ z 1.0)))) (pow (/ (* x y) (* (* z z) (+ z 1.0))) 3) (pow (/ (* x y) (* (* z z) (+ z 1.0))) 3) (pow (/ (* x y) (* (* z z) (+ z 1.0))) 3) (pow (/ (* x y) (* (* z z) (+ z 1.0))) 3) (pow (/ (* x y) (* (* z z) (+ z 1.0))) 3) (pow (/ (* x y) (* (* z z) (+ z 1.0))) 3) (* (cbrt (/ (* x y) (* (* z z) (+ z 1.0)))) (cbrt (/ (* x y) (* (* z z) (+ z 1.0))))) (cbrt (/ (* x y) (* (* z z) (+ z 1.0)))) (pow (/ (* x y) (* (* z z) (+ z 1.0))) 3) (sqrt (/ (* x y) (* (* z z) (+ z 1.0)))) (sqrt (/ (* x y) (* (* z z) (+ z 1.0)))) (neg (* x y)) (neg (* (* z z) (+ z 1.0))) (/ x (* z z)) (/ y (+ z 1.0)) (/ 1 (* (* z z) (+ z 1.0))) (/ (* (* z z) (+ z 1.0)) (* x y)) (/ (* x y) (* z z)) (/ (* (* z z) (+ z 1.0)) y) (/ (* x y) (* (* z z) (+ (pow z 3) (pow 1.0 3)))) (/ (* x y) (* (* z z) (- (* z z) (* 1.0 1.0)))) (* (* z z) (+ z 1.0)) (* (* z z) (+ z 1.0)) (log (* (* z z) (+ z 1.0))) (log (* (* z z) (+ z 1.0))) (log (* (* z z) (+ z 1.0))) (exp (* (* z z) (+ z 1.0))) (pow (* (* z z) (+ z 1.0)) 3) (pow (* (* z z) (+ z 1.0)) 3) (* (cbrt (* (* z z) (+ z 1.0))) (cbrt (* (* z z) (+ z 1.0)))) (cbrt (* (* z z) (+ z 1.0))) (pow (* (* z z) (+ z 1.0)) 3) (sqrt (* (* z z) (+ z 1.0))) (sqrt (* (* z z) (+ z 1.0))) (* z (sqrt (+ z 1.0))) (* z (sqrt (+ z 1.0))) (pow z 3) (* (* z z) 1.0) (pow z 3) (* (* z z) 1.0) (* (* z z) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (* (* z z) (sqrt (+ z 1.0))) (pow z 2) (pow z 2) (* z (+ z 1.0)) (* (* z z) (+ (pow z 3) (pow 1.0 3))) (* (* z z) (- (* z z) (* 1.0 1.0))) (* 1.0 (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z))) (- (+ (* 1.0 (/ (* x y) (pow z 5))) (/ (* x y) (pow z 3))) (* 1.0 (/ (* x y) (pow z 4)))) (- (+ (* 1.0 (/ (* x y) (pow z 5))) (/ (* x y) (pow z 3))) (* 1.0 (/ (* x y) (pow z 4)))) (* (* z z) (+ z 1.0)) (* (* z z) (+ z 1.0)) (* (* z z) (+ z 1.0)) 0.381 * * * [progress]: adding candidates to table 0.480 * * [progress]: iteration 2 / 4 0.481 * * * [progress]: picking best candidate 0.516 * * * * [pick]: Picked # 0.516 * * * [progress]: localizing error 0.523 * * * [progress]: generating rewritten candidates 0.523 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.527 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.543 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.551 * * * [progress]: generating series expansions 0.551 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.551 * [approximate]: Approximating (/ x (pow z 2)) in (x z) around 0 0.552 * [taylor]: Taking taylor expansion of (/ x (pow z 2)) in z 0.553 * [taylor]: Taking taylor expansion of (/ x (pow z 2)) in z 0.555 * [taylor]: Taking taylor expansion of (/ x (pow z 2)) in z 0.557 * [taylor]: Taking taylor expansion of (/ x (pow z 2)) in z 0.560 * [taylor]: Taking taylor expansion of (/ x (pow z 2)) in z 0.560 * [approximate]: Approximating (/ (pow z 2) x) in (x z) around 0 0.560 * [taylor]: Taking taylor expansion of (/ (pow z 2) x) in z 0.562 * [taylor]: Taking taylor expansion of (/ (pow z 2) x) in z 0.564 * [taylor]: Taking taylor expansion of (/ (pow z 2) x) in z 0.566 * [taylor]: Taking taylor expansion of (/ (pow z 2) x) in z 0.567 * [approximate]: Approximating (* -1 (/ (pow z 2) x)) in (x z) around 0 0.567 * [taylor]: Taking taylor expansion of (* -1 (/ (pow z 2) x)) in z 0.569 * [taylor]: Taking taylor expansion of (* -1 (/ (pow z 2) x)) in z 0.572 * [taylor]: Taking taylor expansion of (* -1 (/ (pow z 2) x)) in z 0.577 * [taylor]: Taking taylor expansion of (* -1 (/ (pow z 2) x)) in z 0.577 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.577 * [approximate]: Approximating (/ (* x y) (* (pow z 2) (+ z 1.0))) in (x z y) around 0 0.580 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in z 0.581 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in y 0.584 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in z 0.586 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in y 0.591 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in z 0.593 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in y 0.595 * [approximate]: Approximating (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in (x z y) around 0 0.600 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in z 0.601 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 0.603 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in z 0.603 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 0.604 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 0.609 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in z 0.609 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 0.609 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 0.611 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 0.613 * [approximate]: Approximating (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in (x z y) around 0 0.623 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in z 0.624 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in y 0.626 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in z 0.626 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in y 0.628 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in y 0.633 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in z 0.633 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in y 0.633 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in y 0.635 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in y 0.638 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.638 * [approximate]: Approximating (/ y (+ z 1.0)) in (y z) around 0 0.639 * [taylor]: Taking taylor expansion of (/ y (+ z 1.0)) in z 0.640 * [taylor]: Taking taylor expansion of (/ y (+ z 1.0)) in z 0.643 * [taylor]: Taking taylor expansion of (/ y (+ z 1.0)) in z 0.647 * [approximate]: Approximating (/ 1 (* (+ (/ 1 z) 1.0) y)) in (y z) around 0 0.649 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 z) 1.0) y)) in z 0.651 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 z) 1.0) y)) in z 0.655 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 z) 1.0) y)) in z 0.660 * [approximate]: Approximating (/ -1 (* (- 1.0 (/ 1 z)) y)) in (y z) around 0 0.663 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 z)) y)) in z 0.666 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 z)) y)) in z 0.671 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 z)) y)) in z 0.676 * * * [progress]: simplifying candidates 0.677 * [simplify]: Simplifying using # : (- (log x) (+ (log z) (log z))) (- (log x) (log (* z z))) (log (/ x (* z z))) (exp (/ x (* z z))) (/ (* (* x x) x) (* (* (* z z) z) (* (* z z) z))) (/ (* (* x x) x) (* (* (* z z) (* z z)) (* z z))) (* (cbrt (/ x (* z z))) (cbrt (/ x (* z z)))) (cbrt (/ x (* z z))) (* (* (/ x (* z z)) (/ x (* z z))) (/ x (* z z))) (sqrt (/ x (* z z))) (sqrt (/ x (* z z))) (neg x) (neg (* z z)) (/ (* (cbrt x) (cbrt x)) z) (/ (cbrt x) z) (/ (sqrt x) z) (/ (sqrt x) z) (/ 1 z) (/ x z) (/ 1 (* z z)) (/ (* z z) x) (/ x z) (/ (* z z) (cbrt x)) (/ (* z z) (sqrt x)) (/ (* z z) x) (* (/ x (* z z)) (/ y (+ z 1.0))) (+ (- (log x) (+ (log z) (log z))) (- (log y) (log (+ z 1.0)))) (+ (- (log x) (+ (log z) (log z))) (log (/ y (+ z 1.0)))) (+ (- (log x) (log (* z z))) (- (log y) (log (+ z 1.0)))) (+ (- (log x) (log (* z z))) (log (/ y (+ z 1.0)))) (+ (log (/ x (* z z))) (- (log y) (log (+ z 1.0)))) (+ (log (/ x (* z z))) (log (/ y (+ z 1.0)))) (log (* (/ x (* z z)) (/ y (+ z 1.0)))) (exp (* (/ x (* z z)) (/ y (+ z 1.0)))) (* (/ (* (* x x) x) (* (* (* z z) z) (* (* z z) z))) (/ (* (* y y) y) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0)))) (* (/ (* (* x x) x) (* (* (* z z) z) (* (* z z) z))) (* (* (/ y (+ z 1.0)) (/ y (+ z 1.0))) (/ y (+ z 1.0)))) (* (/ (* (* x x) x) (* (* (* z z) (* z z)) (* z z))) (/ (* (* y y) y) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0)))) (* (/ (* (* x x) x) (* (* (* z z) (* z z)) (* z z))) (* (* (/ y (+ z 1.0)) (/ y (+ z 1.0))) (/ y (+ z 1.0)))) (* (* (* (/ x (* z z)) (/ x (* z z))) (/ x (* z z))) (/ (* (* y y) y) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0)))) (* (* (* (/ x (* z z)) (/ x (* z z))) (/ x (* z z))) (* (* (/ y (+ z 1.0)) (/ y (+ z 1.0))) (/ y (+ z 1.0)))) (* (cbrt (* (/ x (* z z)) (/ y (+ z 1.0)))) (cbrt (* (/ x (* z z)) (/ y (+ z 1.0))))) (cbrt (* (/ x (* z z)) (/ y (+ z 1.0)))) (* (* (* (/ x (* z z)) (/ y (+ z 1.0))) (* (/ x (* z z)) (/ y (+ z 1.0)))) (* (/ x (* z z)) (/ y (+ z 1.0)))) (sqrt (* (/ x (* z z)) (/ y (+ z 1.0)))) (sqrt (* (/ x (* z z)) (/ y (+ z 1.0)))) (* x y) (* (* z z) (+ z 1.0)) (* (sqrt (/ x (* z z))) (sqrt (/ y (+ z 1.0)))) (* (sqrt (/ x (* z z))) (sqrt (/ y (+ z 1.0)))) (* (sqrt (/ x (* z z))) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (sqrt (/ x (* z z))) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (/ (sqrt x) z) (sqrt (/ y (+ z 1.0)))) (* (/ (sqrt x) z) (sqrt (/ y (+ z 1.0)))) (* (/ (sqrt x) z) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (/ (sqrt x) z) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (/ x (* z z)) (* (cbrt (/ y (+ z 1.0))) (cbrt (/ y (+ z 1.0))))) (* (/ x (* z z)) (sqrt (/ y (+ z 1.0)))) (* (/ x (* z z)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0))))) (* (/ x (* z z)) (/ (* (cbrt y) (cbrt y)) (sqrt (+ z 1.0)))) (* (/ x (* z z)) (/ (* (cbrt y) (cbrt y)) 1)) (* (/ x (* z z)) (/ (* (cbrt y) (cbrt y)) 1)) (* (/ x (* z z)) (/ (sqrt y) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0))))) (* (/ x (* z z)) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (/ x (* z z)) (/ (sqrt y) 1)) (* (/ x (* z z)) (/ (sqrt y) 1)) (* (/ x (* z z)) (/ 1 (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0))))) (* (/ x (* z z)) (/ 1 (sqrt (+ z 1.0)))) (* (/ x (* z z)) (/ 1 1)) (* (/ x (* z z)) (/ 1 1)) (* (/ x (* z z)) 1) (* (/ x (* z z)) y) (* (/ x (* z z)) (/ y (+ (pow z 3) (pow 1.0 3)))) (* (/ x (* z z)) (/ y (- (* z z) (* 1.0 1.0)))) (* (cbrt (/ x (* z z))) (/ y (+ z 1.0))) (* (sqrt (/ x (* z z))) (/ y (+ z 1.0))) (* (/ (cbrt x) z) (/ y (+ z 1.0))) (* (/ (sqrt x) z) (/ y (+ z 1.0))) (* (/ x z) (/ y (+ z 1.0))) (* (/ x (* z z)) (/ y (+ z 1.0))) (* (/ 1 (* z z)) (/ y (+ z 1.0))) (* (/ x (* z z)) y) (* x (/ y (+ z 1.0))) (- (log y) (log (+ z 1.0))) (log (/ y (+ z 1.0))) (exp (/ y (+ z 1.0))) (/ (* (* y y) y) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0))) (* (cbrt (/ y (+ z 1.0))) (cbrt (/ y (+ z 1.0)))) (cbrt (/ y (+ z 1.0))) (* (* (/ y (+ z 1.0)) (/ y (+ z 1.0))) (/ y (+ z 1.0))) (sqrt (/ y (+ z 1.0))) (sqrt (/ y (+ z 1.0))) (neg y) (neg (+ z 1.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ (cbrt y) (cbrt (+ z 1.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ z 1.0))) (/ (cbrt y) (sqrt (+ z 1.0))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ z 1.0)) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ z 1.0)) (/ (sqrt y) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ (sqrt y) (cbrt (+ z 1.0))) (/ (sqrt y) (sqrt (+ z 1.0))) (/ (sqrt y) (sqrt (+ z 1.0))) (/ (sqrt y) 1) (/ (sqrt y) (+ z 1.0)) (/ (sqrt y) 1) (/ (sqrt y) (+ z 1.0)) (/ 1 (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (cbrt (+ z 1.0))) (/ 1 (sqrt (+ z 1.0))) (/ y (sqrt (+ z 1.0))) (/ 1 1) (/ y (+ z 1.0)) (/ 1 1) (/ y (+ z 1.0)) (/ 1 (+ z 1.0)) (/ (+ z 1.0) y) (/ y (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (sqrt (+ z 1.0))) (/ y 1) (/ y 1) (/ (+ z 1.0) (cbrt y)) (/ (+ z 1.0) (sqrt y)) (/ (+ z 1.0) y) (/ y (+ (pow z 3) (pow 1.0 3))) (/ y (- (* z z) (* 1.0 1.0))) (/ x (pow z 2)) (/ x (pow z 2)) (/ x (pow z 2)) (- (+ (* 1.0 (* x y)) (* 1.0 (/ (* x y) (pow z 2)))) (* 1.0 (/ (* x y) z))) (- (+ (* 1.0 (/ (* x y) (pow z 5))) (/ (* x y) (pow z 3))) (* 1.0 (/ (* x y) (pow z 4)))) (- (+ (* 1.0 (/ (* x y) (pow z 5))) (/ (* x y) (pow z 3))) (* 1.0 (/ (* x y) (pow z 4)))) (- (+ (* 1.0 (* (pow z 2) y)) (* 1.0 y)) (* 1.0 (* z y))) (- (+ (* 1.0 (/ y (pow z 3))) (/ y z)) (* 1.0 (/ y (pow z 2)))) (- (+ (* 1.0 (/ y (pow z 3))) (/ y z)) (* 1.0 (/ y (pow z 2)))) 0.683 * * [simplify]: iteration 0 : 523 enodes (cost 706 ) 0.693 * * [simplify]: iteration 1 : 2630 enodes (cost 610 ) 0.731 * * [simplify]: iteration 2 : 5002 enodes (cost 610 ) 0.735 * [simplify]: Simplified to: (log (/ x (* z z))) (log (/ x (* z z))) (log (/ x (* z z))) (exp (/ x (* z z))) (pow (/ x (* z z)) 3) (pow (/ x (* z z)) 3) (* (cbrt (/ x (* z z))) (cbrt (/ x (* z z)))) (cbrt (/ x (* z z))) (pow (/ x (* z z)) 3) (sqrt (/ x (* z z))) (sqrt (/ x (* z z))) (neg x) (neg (* z z)) (/ (* (cbrt x) (cbrt x)) z) (/ (cbrt x) z) (/ (sqrt x) z) (/ (sqrt x) z) (/ 1 z) (/ x z) (/ 1 (* z z)) (/ (* z z) x) (/ x z) (/ (* z z) (cbrt x)) (/ (* z z) (sqrt x)) (/ (* z z) x) (* (/ x (* z z)) (/ y (+ z 1.0))) (log (* (/ x (* z z)) (/ y (+ z 1.0)))) (log (* (/ x (* z z)) (/ y (+ z 1.0)))) (log (* (/ x (* z z)) (/ y (+ z 1.0)))) (log (* (/ x (* z z)) (/ y (+ z 1.0)))) (log (* (/ x (* z z)) (/ y (+ z 1.0)))) (log (* (/ x (* z z)) (/ y (+ z 1.0)))) (log (* (/ x (* z z)) (/ y (+ z 1.0)))) (exp (* (/ x (* z z)) (/ y (+ z 1.0)))) (pow (* (/ x (* z z)) (/ y (+ z 1.0))) 3) (pow (* (/ x (* z z)) (/ y (+ z 1.0))) 3) (pow (* (/ x (* z z)) (/ y (+ z 1.0))) 3) (pow (* (/ x (* z z)) (/ y (+ z 1.0))) 3) (pow (* (/ x (* z z)) (/ y (+ z 1.0))) 3) (pow (* (/ x (* z z)) (/ y (+ z 1.0))) 3) (* (cbrt (* (/ x (* z z)) (/ y (+ z 1.0)))) (cbrt (* (/ x (* z z)) (/ y (+ z 1.0))))) (cbrt (* (/ x (* z z)) (/ y (+ z 1.0)))) (pow (* (/ x (* z z)) (/ y (+ z 1.0))) 3) (sqrt (* (/ x (* z z)) (/ y (+ z 1.0)))) (sqrt (* (/ x (* z z)) (/ y (+ z 1.0)))) (* x y) (* (* z z) (+ z 1.0)) (* (sqrt (/ x (* z z))) (sqrt (/ y (+ z 1.0)))) (* (sqrt (/ x (* z z))) (sqrt (/ y (+ z 1.0)))) (* (sqrt (/ x (* z z))) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (sqrt (/ x (* z z))) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (/ (sqrt x) z) (sqrt (/ y (+ z 1.0)))) (* (/ (sqrt x) z) (sqrt (/ y (+ z 1.0)))) (* (/ (sqrt x) z) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (/ (sqrt x) z) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (/ x (* z z)) (* (cbrt (/ y (+ z 1.0))) (cbrt (/ y (+ z 1.0))))) (* (/ x (* z z)) (sqrt (/ y (+ z 1.0)))) (* (/ x (* z z)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0))))) (* (/ x (* z z)) (/ (* (cbrt y) (cbrt y)) (sqrt (+ z 1.0)))) (/ (* x (* (cbrt y) (cbrt y))) (pow z 2)) (/ (* x (* (cbrt y) (cbrt y))) (pow z 2)) (* (/ x (* z z)) (/ (sqrt y) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0))))) (* (/ x (* z z)) (/ (sqrt y) (sqrt (+ z 1.0)))) (/ (* x (sqrt y)) (pow z 2)) (/ (* x (sqrt y)) (pow z 2)) (/ (/ x (* z z)) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ (/ x (* z z)) (sqrt (+ z 1.0))) (/ x (* z z)) (/ x (* z z)) (/ x (* z z)) (* (/ x (* z z)) y) (* (/ x (* z z)) (/ y (+ (pow z 3) (pow 1.0 3)))) (* (/ x (* z z)) (/ y (- (* z z) (* 1.0 1.0)))) (* (cbrt (/ x (* z z))) (/ y (+ z 1.0))) (* (sqrt (/ x (* z z))) (/ y (+ z 1.0))) (* (/ (cbrt x) z) (/ y (+ z 1.0))) (* (/ (sqrt x) z) (/ y (+ z 1.0))) (* (/ x z) (/ y (+ z 1.0))) (* (/ x (* z z)) (/ y (+ z 1.0))) (/ (/ y (+ z 1.0)) (pow z 2)) (* (/ x (* z z)) y) (* x (/ y (+ z 1.0))) (log (/ y (+ z 1.0))) (log (/ y (+ z 1.0))) (exp (/ y (+ z 1.0))) (pow (/ y (+ z 1.0)) 3) (* (cbrt (/ y (+ z 1.0))) (cbrt (/ y (+ z 1.0)))) (cbrt (/ y (+ z 1.0))) (pow (/ y (+ z 1.0)) 3) (sqrt (/ y (+ z 1.0))) (sqrt (/ y (+ z 1.0))) (neg y) (neg (+ z 1.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ (cbrt y) (cbrt (+ z 1.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ z 1.0))) (/ (cbrt y) (sqrt (+ z 1.0))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z 1.0)) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z 1.0)) (/ (sqrt y) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ (sqrt y) (cbrt (+ z 1.0))) (/ (sqrt y) (sqrt (+ z 1.0))) (/ (sqrt y) (sqrt (+ z 1.0))) (sqrt y) (/ (sqrt y) (+ z 1.0)) (sqrt y) (/ (sqrt y) (+ z 1.0)) (/ 1 (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (cbrt (+ z 1.0))) (/ 1 (sqrt (+ z 1.0))) (/ y (sqrt (+ z 1.0))) 1 (/ y (+ z 1.0)) 1 (/ y (+ z 1.0)) (/ 1 (+ z 1.0)) (/ (+ z 1.0) y) (/ y (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (sqrt (+ z 1.0))) y y (/ (+ z 1.0) (cbrt y)) (/ (+ z 1.0) (sqrt y)) (/ (+ z 1.0) y) (/ y (+ (pow z 3) (pow 1.0 3))) (/ y (- (* z z) (* 1.0 1.0))) (/ x (* z z)) (/ x (* z z)) (/ x (* z z)) (* 1.0 (- (* y (+ x (/ x (* z z)))) (/ (* x y) z))) (- (+ (* 1.0 (/ (* x y) (pow z 5))) (/ (* x y) (pow z 3))) (* 1.0 (/ (* x y) (pow z 4)))) (- (+ (* 1.0 (/ (* x y) (pow z 5))) (/ (* x y) (pow z 3))) (* 1.0 (/ (* x y) (pow z 4)))) (* 1.0 (- (+ (* (pow z 2) y) y) (* z y))) (- (+ (* 1.0 (/ y (pow z 3))) (/ y z)) (* 1.0 (/ y (pow z 2)))) (- (+ (* 1.0 (/ y (pow z 3))) (/ y z)) (* 1.0 (/ y (pow z 2)))) 0.735 * * * [progress]: adding candidates to table 1.096 * * [progress]: iteration 3 / 4 1.096 * * * [progress]: picking best candidate 1.128 * * * * [pick]: Picked # 1.128 * * * [progress]: localizing error 1.139 * * * [progress]: generating rewritten candidates 1.139 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.141 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.142 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.143 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.150 * * * [progress]: generating series expansions 1.150 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.150 * [approximate]: Approximating (pow x 1/3) in (x) around 0 1.208 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 1.271 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.348 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.348 * [approximate]: Approximating (pow x 1/3) in (x) around 0 1.403 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 1.463 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.540 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.540 * [approximate]: Approximating (pow x 1/3) in (x) around 0 1.596 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 1.657 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.737 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.738 * [approximate]: Approximating (pow (pow x 2) 1/3) in (x) around 0 1.803 * [approximate]: Approximating (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 1.874 * [approximate]: Approximating (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 1.969 * * * [progress]: simplifying candidates 1.970 * [simplify]: Simplifying using # : (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 1.974 * * [simplify]: iteration 0 : 115 enodes (cost 288 ) 1.977 * * [simplify]: iteration 1 : 472 enodes (cost 261 ) 1.992 * * [simplify]: iteration 2 : 2959 enodes (cost 238 ) 2.056 * * [simplify]: iteration 3 : 5003 enodes (cost 235 ) 2.058 * [simplify]: Simplified to: (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 2.059 * * * [progress]: adding candidates to table 2.363 * * [progress]: iteration 4 / 4 2.364 * * * [progress]: picking best candidate 2.398 * * * * [pick]: Picked # 2.398 * * * [progress]: localizing error 2.410 * * * [progress]: generating rewritten candidates 2.410 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.411 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 2.415 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.417 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.440 * * * [progress]: generating series expansions 2.440 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.440 * [approximate]: Approximating (pow x 1/3) in (x) around 0 2.501 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 2.566 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.647 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.647 * [approximate]: Approximating (pow x 1/3) in (x) around 0 2.702 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 2.769 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.850 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.851 * [approximate]: Approximating (pow (pow x 1/3) 2) in (x) around 0 2.918 * [approximate]: Approximating (pow (pow (/ 1 x) 1/3) 2) in (x) around 0 2.989 * [approximate]: Approximating (pow (* (cbrt -1) (pow (/ 1 x) 1/3)) 2) in (x) around 0 3.084 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.085 * [approximate]: Approximating (/ (* x y) (* (pow z 2) (+ z 1.0))) in (x z y) around 0 3.087 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in z 3.089 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in y 3.091 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in z 3.093 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in y 3.104 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in z 3.107 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in y 3.109 * [approximate]: Approximating (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in (x z y) around 0 3.114 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in z 3.114 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 3.117 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in z 3.117 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 3.118 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 3.123 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in z 3.123 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 3.123 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 3.126 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 3.128 * [approximate]: Approximating (* -1 (/ (* (pow (cbrt -1) 3) (pow z 2)) (* (- 1.0 (/ 1 z)) (* x y)))) in (x z y) around 0 3.153 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (pow z 2)) (* (- 1.0 (/ 1 z)) (* x y)))) in z 3.154 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (pow z 2)) (* (- 1.0 (/ 1 z)) (* x y)))) in y 3.158 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (pow z 2)) (* (- 1.0 (/ 1 z)) (* x y)))) in z 3.158 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (pow z 2)) (* (- 1.0 (/ 1 z)) (* x y)))) in y 3.160 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (pow z 2)) (* (- 1.0 (/ 1 z)) (* x y)))) in y 3.170 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (pow z 2)) (* (- 1.0 (/ 1 z)) (* x y)))) in z 3.170 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (pow z 2)) (* (- 1.0 (/ 1 z)) (* x y)))) in y 3.170 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (pow z 2)) (* (- 1.0 (/ 1 z)) (* x y)))) in y 3.173 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (pow z 2)) (* (- 1.0 (/ 1 z)) (* x y)))) in y 3.181 * * * [progress]: simplifying candidates 3.183 * [simplify]: Simplifying using # : (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (* (log (cbrt x)) 2) (* (log (cbrt x)) 2) (* 1/3 2) (* 1 2) (pow (cbrt x) (* (cbrt 2) (cbrt 2))) (pow (cbrt x) (sqrt 2)) (pow (cbrt x) 1) (pow (cbrt (* (cbrt x) (cbrt x))) 2) (pow (cbrt (cbrt x)) 2) (pow (cbrt (sqrt x)) 2) (pow (cbrt (sqrt x)) 2) (pow (cbrt 1) 2) (pow (cbrt x) 2) (pow (* (cbrt (cbrt x)) (cbrt (cbrt x))) 2) (pow (cbrt (cbrt x)) 2) (pow (sqrt (cbrt x)) 2) (pow (sqrt (cbrt x)) 2) (pow 1 2) (pow (cbrt x) 2) (log (pow (cbrt x) 2)) (exp (pow (cbrt x) 2)) (* (cbrt (pow (cbrt x) 2)) (cbrt (pow (cbrt x) 2))) (cbrt (pow (cbrt x) 2)) (* (* (pow (cbrt x) 2) (pow (cbrt x) 2)) (pow (cbrt x) 2)) (sqrt (pow (cbrt x) 2)) (sqrt (pow (cbrt x) 2)) (pow (cbrt x) (/ 2 2)) (pow (cbrt x) (/ 2 2)) (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (+ (- (* (log (cbrt x)) 2) (log z)) (+ (- (log (cbrt x)) (log z)) (- (log y) (log (+ z 1.0))))) (+ (- (* (log (cbrt x)) 2) (log z)) (+ (- (log (cbrt x)) (log z)) (log (/ y (+ z 1.0))))) (+ (- (* (log (cbrt x)) 2) (log z)) (+ (log (/ (cbrt x) z)) (- (log y) (log (+ z 1.0))))) (+ (- (* (log (cbrt x)) 2) (log z)) (+ (log (/ (cbrt x) z)) (log (/ y (+ z 1.0))))) (+ (- (* (log (cbrt x)) 2) (log z)) (log (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (+ (- (* (log (cbrt x)) 2) (log z)) (+ (- (log (cbrt x)) (log z)) (- (log y) (log (+ z 1.0))))) (+ (- (* (log (cbrt x)) 2) (log z)) (+ (- (log (cbrt x)) (log z)) (log (/ y (+ z 1.0))))) (+ (- (* (log (cbrt x)) 2) (log z)) (+ (log (/ (cbrt x) z)) (- (log y) (log (+ z 1.0))))) (+ (- (* (log (cbrt x)) 2) (log z)) (+ (log (/ (cbrt x) z)) (log (/ y (+ z 1.0))))) (+ (- (* (log (cbrt x)) 2) (log z)) (log (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (+ (- (log (pow (cbrt x) 2)) (log z)) (+ (- (log (cbrt x)) (log z)) (- (log y) (log (+ z 1.0))))) (+ (- (log (pow (cbrt x) 2)) (log z)) (+ (- (log (cbrt x)) (log z)) (log (/ y (+ z 1.0))))) (+ (- (log (pow (cbrt x) 2)) (log z)) (+ (log (/ (cbrt x) z)) (- (log y) (log (+ z 1.0))))) (+ (- (log (pow (cbrt x) 2)) (log z)) (+ (log (/ (cbrt x) z)) (log (/ y (+ z 1.0))))) (+ (- (log (pow (cbrt x) 2)) (log z)) (log (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (+ (log (/ (pow (cbrt x) 2) z)) (+ (- (log (cbrt x)) (log z)) (- (log y) (log (+ z 1.0))))) (+ (log (/ (pow (cbrt x) 2) z)) (+ (- (log (cbrt x)) (log z)) (log (/ y (+ z 1.0))))) (+ (log (/ (pow (cbrt x) 2) z)) (+ (log (/ (cbrt x) z)) (- (log y) (log (+ z 1.0))))) (+ (log (/ (pow (cbrt x) 2) z)) (+ (log (/ (cbrt x) z)) (log (/ y (+ z 1.0))))) (+ (log (/ (pow (cbrt x) 2) z)) (log (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (log (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (exp (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (* (/ (* (* (pow (cbrt x) 2) (pow (cbrt x) 2)) (pow (cbrt x) 2)) (* (* z z) z)) (* (/ x (* (* z z) z)) (/ (* (* y y) y) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0))))) (* (/ (* (* (pow (cbrt x) 2) (pow (cbrt x) 2)) (pow (cbrt x) 2)) (* (* z z) z)) (* (/ x (* (* z z) z)) (* (* (/ y (+ z 1.0)) (/ y (+ z 1.0))) (/ y (+ z 1.0))))) (* (/ (* (* (pow (cbrt x) 2) (pow (cbrt x) 2)) (pow (cbrt x) 2)) (* (* z z) z)) (* (* (* (/ (cbrt x) z) (/ (cbrt x) z)) (/ (cbrt x) z)) (/ (* (* y y) y) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0))))) (* (/ (* (* (pow (cbrt x) 2) (pow (cbrt x) 2)) (pow (cbrt x) 2)) (* (* z z) z)) (* (* (* (/ (cbrt x) z) (/ (cbrt x) z)) (/ (cbrt x) z)) (* (* (/ y (+ z 1.0)) (/ y (+ z 1.0))) (/ y (+ z 1.0))))) (* (/ (* (* (pow (cbrt x) 2) (pow (cbrt x) 2)) (pow (cbrt x) 2)) (* (* z z) z)) (* (* (* (/ (cbrt x) z) (/ y (+ z 1.0))) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (* (* (* (/ (pow (cbrt x) 2) z) (/ (pow (cbrt x) 2) z)) (/ (pow (cbrt x) 2) z)) (* (/ x (* (* z z) z)) (/ (* (* y y) y) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0))))) (* (* (* (/ (pow (cbrt x) 2) z) (/ (pow (cbrt x) 2) z)) (/ (pow (cbrt x) 2) z)) (* (/ x (* (* z z) z)) (* (* (/ y (+ z 1.0)) (/ y (+ z 1.0))) (/ y (+ z 1.0))))) (* (* (* (/ (pow (cbrt x) 2) z) (/ (pow (cbrt x) 2) z)) (/ (pow (cbrt x) 2) z)) (* (* (* (/ (cbrt x) z) (/ (cbrt x) z)) (/ (cbrt x) z)) (/ (* (* y y) y) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0))))) (* (* (* (/ (pow (cbrt x) 2) z) (/ (pow (cbrt x) 2) z)) (/ (pow (cbrt x) 2) z)) (* (* (* (/ (cbrt x) z) (/ (cbrt x) z)) (/ (cbrt x) z)) (* (* (/ y (+ z 1.0)) (/ y (+ z 1.0))) (/ y (+ z 1.0))))) (* (* (* (/ (pow (cbrt x) 2) z) (/ (pow (cbrt x) 2) z)) (/ (pow (cbrt x) 2) z)) (* (* (* (/ (cbrt x) z) (/ y (+ z 1.0))) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (* (cbrt (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (cbrt (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))) (cbrt (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (* (* (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (sqrt (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (sqrt (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (* (pow (cbrt x) 2) (* (cbrt x) y)) (* z (* z (+ z 1.0))) (* (pow (cbrt x) 2) (* (/ (cbrt x) z) y)) (* z (+ z 1.0)) (* (pow (cbrt x) 2) (* (cbrt x) (/ y (+ z 1.0)))) (* z z) (* (/ (pow (cbrt x) 2) z) (/ (cbrt x) z)) (* (cbrt (/ (pow (cbrt x) 2) z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (sqrt (/ (pow (cbrt x) 2) z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (cbrt x)) 2) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (cbrt x)) 2) (sqrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (cbrt x)) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (sqrt x)) 2) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (sqrt x)) 2) (sqrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (sqrt x)) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt x) 2) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt x) 2) (sqrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (cbrt x)) 2) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (cbrt x)) 2) (sqrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (cbrt x)) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (sqrt (cbrt x)) 2) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (sqrt (cbrt x)) 2) (sqrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (sqrt (cbrt x)) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt x) 2) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt x) 2) (sqrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (cbrt x) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (cbrt x) (sqrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (cbrt x) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (cbrt (pow (cbrt x) 2)) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (cbrt (pow (cbrt x) 2)) (sqrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (cbrt (pow (cbrt x) 2)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (sqrt (pow (cbrt x) 2)) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (sqrt (pow (cbrt x) 2)) (sqrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (sqrt (pow (cbrt x) 2)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt x) 2) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt x) 2) (sqrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt x) (/ 2 2)) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt x) (/ 2 2)) (sqrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt x) (/ 2 2)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ 1 z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt x) 2) z) (* (cbrt x) y)) (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) y)) (* (/ (pow (cbrt x) 2) z) (* (cbrt x) (/ y (+ z 1.0)))) (* (pow (cbrt x) 2) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow (pow x 2) 1/3) (pow (pow x 2) 1/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) (- (+ (* 1.0 (* x y)) (* 1.0 (/ (* x y) (pow z 2)))) (* 1.0 (/ (* x y) z))) (- (+ (* 1.0 (/ (* x y) (pow z 5))) (/ (* x y) (pow z 3))) (* 1.0 (/ (* x y) (pow z 4)))) (- (+ (* 1.0 (/ (* x y) (pow z 5))) (/ (* x y) (pow z 3))) (* 1.0 (/ (* x y) (pow z 4)))) 3.191 * * [simplify]: iteration 0 : 682 enodes (cost 1183 ) 3.203 * * [simplify]: iteration 1 : 3309 enodes (cost 950 ) 3.251 * * [simplify]: iteration 2 : 5001 enodes (cost 868 ) 3.257 * [simplify]: Simplified to: (log (cbrt x)) (exp (cbrt x)) (cbrt (pow (cbrt x) 2)) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (pow (cbrt (cbrt x)) 2) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (pow (cbrt x) 2)) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (pow (cbrt (cbrt x)) 2) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (* 2/3 (log x)) (* 2/3 (log x)) 2/3 2 (pow (cbrt x) (* (cbrt 2) (cbrt 2))) (pow (cbrt x) (sqrt 2)) (pow x 1/3) (pow (cbrt (pow (cbrt x) 2)) 2) (pow (cbrt (cbrt x)) 2) (pow (cbrt (sqrt x)) 2) (pow (cbrt (sqrt x)) 2) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (cbrt (cbrt x)) 2) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* 2/3 (log x)) (exp (pow (cbrt x) 2)) (pow (cbrt (pow (cbrt x) 2)) 2) (cbrt (pow (cbrt x) 2)) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (pow x 1/3) (pow x 1/3) (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (- (log (/ (/ (pow (pow x 1/3) 3) z) (/ z y))) (log (+ z 1.0))) (pow (exp (/ y (+ z 1.0))) (/ (* (/ (cbrt x) z) (pow x 2/3)) z)) (pow (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) 3) (pow (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) 3) (pow (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) 3) (pow (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) 3) (pow (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) 3) (pow (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) 3) (pow (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) 3) (pow (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) 3) (pow (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) 3) (pow (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) 3) (* (cbrt (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (cbrt (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))) (cbrt (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (pow (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) 3) (sqrt (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (sqrt (* (/ (pow (cbrt x) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))) (* x y) (* z (* z (+ z 1.0))) (/ (* x y) z) (* z (+ z 1.0)) (* x (/ y (+ z 1.0))) (pow z 2) (/ x (pow z 2)) (* (cbrt (/ (pow (cbrt x) 2) z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (sqrt (/ (pow (cbrt x) 2) z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (cbrt x)) 2) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (cbrt x)) 2) (sqrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (cbrt x)) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (sqrt x)) 2) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (sqrt x)) 2) (sqrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (sqrt x)) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (/ (/ (pow (pow x 1/3) 3) z) (/ (cbrt z) (/ y (+ z 1.0)))) (/ (/ (pow (pow x 1/3) 3) z) (/ (sqrt z) (/ y (+ z 1.0)))) (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) (* (/ (pow (cbrt (cbrt x)) 2) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (cbrt x)) 2) (sqrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (pow (cbrt (cbrt x)) 2) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (/ (* (pow x 1/3) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (cbrt z)) (/ (* (/ (pow (cbrt x) 2) z) (/ y (+ z 1.0))) (pow z 1/2)) (/ (* (/ (pow (cbrt x) 2) z) (/ y (+ z 1.0))) z) (/ (/ (pow (pow x 1/3) 3) z) (/ (cbrt z) (/ y (+ z 1.0)))) (/ (/ (pow (pow x 1/3) 3) z) (/ (sqrt z) (/ y (+ z 1.0)))) (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) (/ (* (pow x 1/3) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (cbrt z)) (/ (* (/ (pow (cbrt x) 2) z) (/ y (+ z 1.0))) (pow z 1/2)) (/ (* (/ (pow (cbrt x) 2) z) (/ y (+ z 1.0))) z) (* (/ (cbrt (pow (cbrt x) 2)) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (cbrt (pow (cbrt x) 2)) (sqrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (* (/ (cbrt (pow (cbrt x) 2)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (/ (* (* (/ (cbrt x) z) (/ y (+ z 1.0))) (fabs (pow x 1/3))) (cbrt z)) (/ (* (* (/ (cbrt x) z) (/ y (+ z 1.0))) (fabs (pow x 1/3))) (sqrt z)) (/ (* (* (/ (cbrt x) z) (/ y (+ z 1.0))) (fabs (pow x 1/3))) z) (/ (/ (pow (pow x 1/3) 3) z) (/ (cbrt z) (/ y (+ z 1.0)))) (/ (/ (pow (pow x 1/3) 3) z) (/ (sqrt z) (/ y (+ z 1.0)))) (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) (/ (* (pow x 1/3) (* (/ (cbrt x) z) (/ y (+ z 1.0)))) (cbrt z)) (/ (* (/ (pow (cbrt x) 2) z) (/ y (+ z 1.0))) (pow z 1/2)) (/ (* (/ (pow (cbrt x) 2) z) (/ y (+ z 1.0))) z) (/ (/ (pow (pow x 1/3) 3) z) (/ z (/ y (+ z 1.0)))) (/ (* (/ (cbrt x) z) (/ y (+ z 1.0))) z) (/ (* x y) z) (/ (* x y) (pow z 2)) (/ (* x (/ y (+ z 1.0))) z) (/ (* x (/ y (+ z 1.0))) z) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow (pow x 2) 1/3) (pow (pow x 2) 1/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) (* 1.0 (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z))) (- (+ (* 1.0 (/ (* x y) (pow z 5))) (/ (* x y) (pow z 3))) (* 1.0 (/ (* x y) (pow z 4)))) (- (+ (* 1.0 (/ (* x y) (pow z 5))) (/ (* x y) (pow z 3))) (* 1.0 (/ (* x y) (pow z 4)))) 3.257 * * * [progress]: adding candidates to table 3.880 * [progress]: [Phase 3 of 3] Extracting. 3.880 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.882 * * * [regime-changes]: Trying 4 branch expressions: ((* x y) z y x) 3.882 * * * * [regimes]: Trying to branch on (* x y) from (# # # # # # #) 3.946 * * * * [regimes]: Trying to branch on z from (# # # # # # #) 4.011 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 4.077 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 4.140 * * * [regime]: Found split indices: #