30.191 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (exp (* (* x y) y)) 0.024 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.025 * * [simplify]: iteration 1 : 22 enodes (cost 3 ) 0.026 * * [simplify]: iteration 2 : 40 enodes (cost 3 ) 0.027 * * [simplify]: iteration 3 : 83 enodes (cost 3 ) 0.029 * * [simplify]: iteration 4 : 201 enodes (cost 3 ) 0.033 * * [simplify]: iteration 5 : 572 enodes (cost 3 ) 0.045 * * [simplify]: iteration 6 : 3029 enodes (cost 3 ) 0.092 * * [simplify]: iteration 7 : 5001 enodes (cost 3 ) 0.092 * [simplify]: Simplified to: (exp (* (* x y) y)) 0.092 * * [progress]: iteration 1 / 4 0.092 * * * [progress]: picking best candidate 0.095 * * * * [pick]: Picked # 0.095 * * * [progress]: localizing error 0.099 * * * [progress]: generating rewritten candidates 0.100 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.104 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.107 * * * [progress]: generating series expansions 0.107 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.107 * [approximate]: Approximating (* x (pow y 2)) in (x y) around 0 0.107 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.108 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.113 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.115 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.116 * [approximate]: Approximating (/ 1 (* x (pow y 2))) in (x y) around 0 0.117 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.131 * [approximate]: Approximating (/ -1 (* x (pow y 2))) in (x y) around 0 0.133 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.135 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.138 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.142 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.147 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.147 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.147 * [approximate]: Approximating (exp (* x (pow y 2))) in (x y) around 0 0.149 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.149 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.151 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.154 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.158 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.166 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.176 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.177 * [approximate]: Approximating (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 0.179 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.180 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.180 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.180 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.180 * [approximate]: Approximating (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.183 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.183 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.183 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.183 * * * [progress]: simplifying candidates 0.183 * [simplify]: Simplifying using # : (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (exp (* x y)) (log (exp (* (* x y) y))) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (* (* (exp (* (* x y) y)) (exp (* (* x y) y))) (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 0.186 * * [simplify]: iteration 0 : 131 enodes (cost 125 ) 0.189 * * [simplify]: iteration 1 : 614 enodes (cost 104 ) 0.204 * * [simplify]: iteration 2 : 3052 enodes (cost 104 ) 0.272 * * [simplify]: iteration 3 : 5001 enodes (cost 104 ) 0.273 * [simplify]: Simplified to: (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* x (pow y 2))) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (pow y 2) (exp (* x y)) (* (* x y) y) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (pow (exp (* x (pow y 2))) 3) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 0.273 * * * [progress]: adding candidates to table 0.315 * * [progress]: iteration 2 / 4 0.315 * * * [progress]: picking best candidate 0.319 * * * * [pick]: Picked # 0.319 * * * [progress]: localizing error 0.328 * * * [progress]: generating rewritten candidates 0.328 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.333 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 0.338 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.343 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.347 * * * [progress]: generating series expansions 0.347 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.347 * [approximate]: Approximating (* x (pow y 2)) in (x y) around 0 0.347 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.352 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.352 * [approximate]: Approximating (/ 1 (* x (pow y 2))) in (x y) around 0 0.353 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.365 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.370 * [approximate]: Approximating (/ -1 (* x (pow y 2))) in (x y) around 0 0.372 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.374 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.377 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.381 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.386 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.386 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 0.386 * [approximate]: Approximating (* x (pow y 2)) in (x y) around 0 0.387 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.387 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.388 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.391 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.391 * [approximate]: Approximating (/ 1 (* x (pow y 2))) in (x y) around 0 0.393 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.398 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.407 * [approximate]: Approximating (/ -1 (* x (pow y 2))) in (x y) around 0 0.409 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.411 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.414 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.418 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.422 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.423 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.423 * [approximate]: Approximating (* x (pow y 2)) in (x y) around 0 0.423 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.423 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.425 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.427 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.427 * [approximate]: Approximating (/ 1 (* x (pow y 2))) in (x y) around 0 0.429 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.446 * [approximate]: Approximating (/ -1 (* x (pow y 2))) in (x y) around 0 0.447 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.449 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.452 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.456 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.461 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.462 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.462 * [approximate]: Approximating (exp (* x (pow y 2))) in (x y) around 0 0.463 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.463 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.465 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.468 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.473 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.480 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.490 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.492 * [approximate]: Approximating (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 0.494 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.495 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.495 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.495 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.495 * [approximate]: Approximating (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 0.497 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.498 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.498 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.498 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.498 * * * [progress]: simplifying candidates 0.499 * [simplify]: Simplifying using # : (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (exp (* x y)) (log (exp (* (* x y) y))) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (* (* (exp (* (* x y) y)) (exp (* (* x y) y))) (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 0.502 * * [simplify]: iteration 0 : 131 enodes (cost 269 ) 0.505 * * [simplify]: iteration 1 : 614 enodes (cost 218 ) 0.519 * * [simplify]: iteration 2 : 3052 enodes (cost 218 ) 0.588 * * [simplify]: iteration 3 : 5001 enodes (cost 218 ) 0.590 * [simplify]: Simplified to: (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* x (pow y 2))) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (pow y 2) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* x (pow y 2))) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (pow y 2) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* x (pow y 2))) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (pow y 2) (exp (* x y)) (* (* x y) y) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (pow (exp (* x (pow y 2))) 3) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 0.590 * * * [progress]: adding candidates to table 0.724 * * [progress]: iteration 3 / 4 0.724 * * * [progress]: picking best candidate 0.733 * * * * [pick]: Picked # 0.733 * * * [progress]: localizing error 0.749 * * * [progress]: generating rewritten candidates 0.749 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.755 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 0.759 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.764 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.768 * * * [progress]: generating series expansions 0.768 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.769 * [approximate]: Approximating (* x (pow y 2)) in (x y) around 0 0.769 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.770 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.771 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.773 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.774 * [approximate]: Approximating (/ 1 (* x (pow y 2))) in (x y) around 0 0.775 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.777 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.789 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.789 * [approximate]: Approximating (/ -1 (* x (pow y 2))) in (x y) around 0 0.791 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.793 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.796 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.800 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.805 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.805 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 0.805 * [approximate]: Approximating (* x (pow y 2)) in (x y) around 0 0.805 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.806 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.810 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.810 * [approximate]: Approximating (/ 1 (* x (pow y 2))) in (x y) around 0 0.811 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.813 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.816 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.820 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.828 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.829 * [approximate]: Approximating (/ -1 (* x (pow y 2))) in (x y) around 0 0.830 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.833 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.836 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.840 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.845 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.845 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.845 * [approximate]: Approximating (* x (pow y 2)) in (x y) around 0 0.845 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.846 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.847 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.850 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.850 * [approximate]: Approximating (/ 1 (* x (pow y 2))) in (x y) around 0 0.852 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.854 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.857 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.860 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.866 * [approximate]: Approximating (/ -1 (* x (pow y 2))) in (x y) around 0 0.867 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.869 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.873 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.877 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.881 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.882 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.882 * [approximate]: Approximating (exp (* x (pow y 2))) in (x y) around 0 0.883 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.883 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.885 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.888 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.893 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.901 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.913 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.915 * [approximate]: Approximating (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 0.917 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.917 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.918 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.918 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.918 * [approximate]: Approximating (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 0.920 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.920 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.920 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.920 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.921 * * * [progress]: simplifying candidates 0.922 * [simplify]: Simplifying using # : (+ (log x) (* (log y) 2)) (+ (log x) (* (log y) 2)) (+ (log x) (log (pow y 2))) (log (* x (pow y 2))) (exp (* x (pow y 2))) (* (* (* x x) x) (* (* (pow y 2) (pow y 2)) (pow y 2))) (* (cbrt (* x (pow y 2))) (cbrt (* x (pow y 2)))) (cbrt (* x (pow y 2))) (* (* (* x (pow y 2)) (* x (pow y 2))) (* x (pow y 2))) (sqrt (* x (pow y 2))) (sqrt (* x (pow y 2))) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) y) (* (sqrt x) y) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (pow y (/ 2 2))) (* (sqrt x) (pow y (/ 2 2))) (* x (pow (* (cbrt y) (cbrt y)) 2)) (* x (pow (sqrt y) 2)) (* x (pow 1 2)) (* x y) (* x (* (cbrt (pow y 2)) (cbrt (pow y 2)))) (* x (sqrt (pow y 2))) (* x 1) (* x (pow y (/ 2 2))) (* (cbrt x) (pow y 2)) (* (sqrt x) (pow y 2)) (* x (pow y 2)) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (exp x) (log (exp (* x (pow y 2)))) (exp (exp (* x (pow y 2)))) (* (cbrt (exp (* x (pow y 2)))) (cbrt (exp (* x (pow y 2))))) (cbrt (exp (* x (pow y 2)))) (* (* (exp (* x (pow y 2))) (exp (* x (pow y 2)))) (exp (* x (pow y 2)))) (sqrt (exp (* x (pow y 2)))) (sqrt (exp (* x (pow y 2)))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 0.926 * * [simplify]: iteration 0 : 211 enodes (cost 298 ) 0.931 * * [simplify]: iteration 1 : 1030 enodes (cost 247 ) 0.956 * * [simplify]: iteration 2 : 5001 enodes (cost 242 ) 0.958 * [simplify]: Simplified to: (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (pow (* x (pow y 2)) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* x (pow y 2)) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* y (sqrt x)) (* y (sqrt x)) (* y (sqrt x)) (* y (sqrt x)) (* (fabs y) (pow x 1/2)) (* (fabs y) (pow x 1/2)) (* y (sqrt x)) (* y (sqrt x)) (* x (pow (* (cbrt y) (cbrt y)) 2)) (* x y) x (* x y) (* x (* (cbrt (pow y 2)) (cbrt (pow y 2)))) (* x (fabs y)) x (* x y) (* (cbrt x) (pow y 2)) (* (sqrt x) (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (pow (* x (pow y 2)) 3) (pow (* x (pow y 2)) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* x (pow y 2)) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (pow y 3/2) x) (* x y) (pow y 2) (* x (pow y 2)) (* x (pow y 2)) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (pow (* x (pow y 2)) 3) (pow (* x (pow y 2)) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* x (pow y 2)) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (pow y 3/2) x) (* x y) (pow y 2) (exp x) (* x (pow y 2)) (exp (exp (* x (pow y 2)))) (* (cbrt (exp (* x (pow y 2)))) (cbrt (exp (* x (pow y 2))))) (cbrt (exp (* x (pow y 2)))) (pow (exp (* (* x y) y)) 3) (sqrt (exp (* x (pow y 2)))) (sqrt (exp (* x (pow y 2)))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* x (+ (* (* (pow y 4) x) 1/2) (pow y 2))) 1) (exp (* (* x y) y)) (exp (* (* x y) y)) 0.958 * * * [progress]: adding candidates to table 1.179 * * [progress]: iteration 4 / 4 1.179 * * * [progress]: picking best candidate 1.184 * * * * [pick]: Picked # 1.184 * * * [progress]: localizing error 1.199 * * * [progress]: generating rewritten candidates 1.199 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2) 1.201 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 2) 1.202 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2 1) 1.203 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2) 1.213 * * * [progress]: generating series expansions 1.213 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2) 1.213 * [approximate]: Approximating (pow y 1/3) in (y) around 0 1.269 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 1.332 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.412 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 2) 1.412 * [approximate]: Approximating (pow y 1/3) in (y) around 0 1.470 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 1.531 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.608 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2 1) 1.608 * [approximate]: Approximating (pow y 1/3) in (y) around 0 1.666 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 1.732 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.813 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2) 1.813 * [approximate]: Approximating (pow (pow y 2) 1/3) in (y) around 0 1.879 * [approximate]: Approximating (pow (/ 1 (pow y 2)) 1/3) in (y) around 0 1.949 * [approximate]: Approximating (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in (y) around 0 2.046 * * * [progress]: simplifying candidates 2.047 * [simplify]: Simplifying using # : (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (+ 1/3 1/3) (+ 1 1) (* y y) (* (cbrt y) (cbrt y)) (+ 1 1) (+ (log (cbrt y)) (log (cbrt y))) (log (* (cbrt y) (cbrt y))) (exp (* (cbrt y) (cbrt y))) (* y y) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 1 1) (* (cbrt y) (cbrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 2 1/3) (* 2 1) (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (* (cbrt y) (cbrt 1)) (* (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt y) (sqrt (cbrt y))) (* (cbrt y) 1) (* (cbrt (cbrt y)) (cbrt y)) (* (cbrt (sqrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt (cbrt y)) (cbrt y)) (* (sqrt (cbrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 2.050 * * [simplify]: iteration 0 : 115 enodes (cost 288 ) 2.053 * * [simplify]: iteration 1 : 472 enodes (cost 261 ) 2.068 * * [simplify]: iteration 2 : 2959 enodes (cost 238 ) 2.133 * * [simplify]: iteration 3 : 5003 enodes (cost 235 ) 2.135 * [simplify]: Simplified to: (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) 2/3 2 (pow y 2) (pow y 2/3) 2 (* 2/3 (log y)) (* 2/3 (log y)) (exp (pow y 2/3)) (pow y 2) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (pow y 2) (fabs (pow y 1/3)) (fabs (pow y 1/3)) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) 1 (pow y 2/3) (pow (cbrt (cbrt y)) 4) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (pow y 1/3) (pow y 1/3) 1 (pow y 2/3) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (pow y 1/3) (pow y 1/3) 2/3 2 (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (pow y 1/3) (pow (cbrt (cbrt y)) 5) (pow (sqrt (cbrt y)) 3) (pow y 1/3) (pow (cbrt (cbrt y)) 4) (* (cbrt y) (cbrt (sqrt y))) (pow y 2/3) (pow (cbrt (cbrt y)) 4) (pow (sqrt (cbrt y)) 3) (pow y 2/3) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 2.136 * * * [progress]: adding candidates to table 2.796 * [progress]: [Phase 3 of 3] Extracting. 2.796 * * [regime]: Finding splitpoints for: (# # #) 2.797 * * * [regime-changes]: Trying 4 branch expressions: ((* (* x y) y) (exp (* (* x y) y)) y x) 2.797 * * * * [regimes]: Trying to branch on (* (* x y) y) from (# # #) 2.837 * * * * [regimes]: Trying to branch on (exp (* (* x y) y)) from (# # #) 2.875 * * * * [regimes]: Trying to branch on y from (# # #) 2.914 * * * * [regimes]: Trying to branch on x from (# # #) 2.954 * * * [regime]: Found split indices: #