23.249 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (* (* x y) y) 0.025 * * [simplify]: iteration 0 : 8 enodes (cost 2 ) 0.026 * * [simplify]: iteration 1 : 9 enodes (cost 2 ) 0.027 * * [simplify]: iteration 2 : 9 enodes (cost 2 ) 0.027 * [simplify]: Simplified to: (* (* x y) y) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.038 * * * [progress]: generating series expansions 0.038 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.039 * [approximate]: Approximating (* x (pow y 2)) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.040 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.044 * [approximate]: Approximating (/ 1 (* x (pow y 2))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.060 * [approximate]: Approximating (/ -1 (* x (pow y 2))) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.064 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.067 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.071 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.075 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.076 * * * [progress]: simplifying candidates 0.076 * [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 (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) 0.079 * * [simplify]: iteration 0 : 95 enodes (cost 72 ) 0.082 * * [simplify]: iteration 1 : 466 enodes (cost 57 ) 0.093 * * [simplify]: iteration 2 : 2085 enodes (cost 57 ) 0.132 * * [simplify]: iteration 3 : 5001 enodes (cost 56 ) 0.132 * [simplify]: Simplified to: (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (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 (pow y 3/2)) (* x y) (pow y 2) (* (* x y) y) (* (* x y) y) (* (* x y) y) 0.132 * * * [progress]: adding candidates to table 0.156 * * [progress]: iteration 2 / 4 0.156 * * * [progress]: picking best candidate 0.172 * * * * [pick]: Picked # 0.172 * * * [progress]: localizing error 0.179 * * * [progress]: generating rewritten candidates 0.179 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.183 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.186 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.190 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.196 * * * [progress]: generating series expansions 0.196 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.196 * [approximate]: Approximating (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.200 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.205 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.214 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.229 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.230 * [approximate]: Approximating (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.239 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.249 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.263 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.263 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.270 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.277 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.289 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.310 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.311 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.311 * [approximate]: Approximating (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.314 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.318 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.327 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.339 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.339 * [approximate]: Approximating (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.348 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.357 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.371 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.371 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.378 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.385 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.399 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.417 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.417 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.418 * [approximate]: Approximating (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.421 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.425 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.433 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.446 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.446 * [approximate]: Approximating (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.449 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.454 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.466 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.480 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.481 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.487 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.495 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.506 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.523 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.524 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.524 * [approximate]: Approximating (pow (* (pow x 2) (pow y 4)) 1/3) in (x y) around 0 0.528 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in y 0.533 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in y 0.545 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in y 0.559 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in y 0.560 * [approximate]: Approximating (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in (x y) around 0 0.564 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in y 0.569 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in y 0.580 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in y 0.596 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in y 0.597 * [approximate]: Approximating (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in (x y) around 0 0.605 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in y 0.616 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in y 0.633 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in y 0.654 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in y 0.655 * * * [progress]: simplifying candidates 0.656 * [simplify]: Simplifying using # : (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (+ 1/3 1/3) (+ 1 1) (* (* (* x y) y) (* (* x y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (+ 1 1) (+ (log (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y)))) (log (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (exp (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (* (* (* x y) y) (* (* x y) y)) (* (cbrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (cbrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))))) (cbrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (* (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (sqrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (sqrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y))))) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (* (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y)))) (* (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y)))) (* 1 1) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (* (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y)))) (* (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y)))) (* 2 1/3) (* 2 1) (* (cbrt (* (* x y) y)) (cbrt (* x y))) (* (cbrt (* (* x y) y)) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y))))) (* (cbrt (* (* x y) y)) (sqrt (cbrt (* (* x y) y)))) (* (cbrt (* (* x y) y)) 1) (* (cbrt y) (cbrt (* (* x y) y))) (* (cbrt (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (* (sqrt (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (exp (* 1/3 (+ (log x) (* 2 (log y))))) (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (+ (log x) (* 2 (log y))))) (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (+ (log x) (* 2 (log y))))) (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (+ (* 2 (log x)) (* 4 (log y))))) (exp (* -1/3 (+ (* 2 (log (/ 1 x))) (* 4 (log (/ 1 y)))))) (* (pow (cbrt -1) 2) (exp (* -1/3 (+ (* 4 (log (/ -1 y))) (* 2 (log (/ -1 x))))))) 0.660 * * [simplify]: iteration 0 : 201 enodes (cost 433 ) 0.664 * * [simplify]: iteration 1 : 643 enodes (cost 382 ) 0.678 * * [simplify]: iteration 2 : 2882 enodes (cost 313 ) 0.740 * * [simplify]: iteration 3 : 5001 enodes (cost 305 ) 0.742 * [simplify]: Simplified to: (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* x y) y) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* x y) y) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* x y) y) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) 2/3 2 (pow (cbrt (* (* x y) y)) 6) (pow (sqrt (cbrt (* (* x y) y))) 4) 2 (* 2 (log (cbrt (* (* x y) y)))) (* 2 (log (cbrt (* (* x y) y)))) (pow (exp 1) (pow (sqrt (cbrt (* (* x y) y))) 4)) (pow (cbrt (* (* x y) y)) 6) (* (cbrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (cbrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))))) (cbrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (pow (cbrt (* (* x y) y)) 6) (fabs (cbrt (* (* x y) y))) (fabs (cbrt (* (* x y) y))) (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt y) (cbrt y)) (pow (cbrt (cbrt (* (* x y) y))) 4) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (* (* x y) y)) (cbrt (* (* x y) y)) 1 (pow (sqrt (cbrt (* (* x y) y))) 4) (cbrt (* (* x y) y)) (cbrt (* (* x y) y)) 2/3 2 (* (cbrt (* (* x y) y)) (cbrt (* x y))) (pow (cbrt (cbrt (* (* x y) y))) 5) (pow (sqrt (cbrt (* (* x y) y))) 3) (cbrt (* (* x y) y)) (* (cbrt y) (cbrt (* (* x y) y))) (pow (cbrt (cbrt (* (* x y) y))) 4) (pow (sqrt (cbrt (* (* x y) y))) 3) (pow (sqrt (cbrt (* (* x y) y))) 4) (cbrt (* (* x y) y)) (/ (pow (/ 1 y) -2/3) (pow x -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -1/3)) (cbrt (* (* x y) y)) (/ (pow (/ 1 y) -2/3) (pow x -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -1/3)) (cbrt (* (* x y) y)) (/ (pow (/ 1 y) -2/3) (pow x -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -1/3)) (* (pow y 4/3) (pow x 2/3)) (* (pow (/ 1 y) -4/3) (pow (/ 1 x) -2/3)) (* (* (pow (cbrt -1) 2) (pow (/ -1 y) -4/3)) (pow (/ -1 x) -2/3)) 0.742 * * * [progress]: adding candidates to table 0.913 * * [progress]: iteration 3 / 4 0.914 * * * [progress]: picking best candidate 0.933 * * * * [pick]: Picked # 0.933 * * * [progress]: localizing error 0.944 * * * [progress]: generating rewritten candidates 0.944 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.947 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.950 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.953 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 0.954 * * * [progress]: generating series expansions 0.954 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.954 * [approximate]: Approximating (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.958 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.962 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.973 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.986 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.986 * [approximate]: Approximating (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.990 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.995 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.005 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.019 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.019 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 1.026 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 1.033 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 1.045 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 1.067 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 1.067 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.067 * [approximate]: Approximating (pow (* x (pow y 2)) 1/3) in (x y) around 0 1.071 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 1.075 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 1.084 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 1.097 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 1.097 * [approximate]: Approximating (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 1.101 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.106 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.116 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.129 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.130 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 1.139 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 1.146 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 1.158 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 1.176 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 1.177 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.177 * [approximate]: Approximating (pow (* x y) 1/3) in (x y) around 0 1.179 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.183 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.190 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.201 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.201 * [approximate]: Approximating (pow (/ 1 (* x y)) 1/3) in (x y) around 0 1.204 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.208 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.219 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.231 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.231 * [approximate]: Approximating (pow (/ 1 (* x y)) 1/3) in (x y) around 0 1.234 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.238 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.246 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.258 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.258 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 1.258 * [approximate]: Approximating (pow y 1/3) in (y) around 0 1.316 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 1.378 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.454 * * * [progress]: simplifying candidates 1.455 * [simplify]: Simplifying using # : (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (cbrt x) (cbrt y) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* (* (cbrt (* x y)) (cbrt (* x y))) (cbrt (* x y))) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x 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)) (exp (* 1/3 (+ (log x) (* 2 (log y))))) (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (+ (log x) (* 2 (log y))))) (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (+ (log x) (log y)))) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y))))) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x))))) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 1.458 * * [simplify]: iteration 0 : 159 enodes (cost 224 ) 1.460 * * [simplify]: iteration 1 : 331 enodes (cost 202 ) 1.466 * * [simplify]: iteration 2 : 970 enodes (cost 163 ) 1.482 * * [simplify]: iteration 3 : 3529 enodes (cost 161 ) 1.561 * * [simplify]: iteration 4 : 5001 enodes (cost 156 ) 1.563 * [simplify]: Simplified to: (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (pow y 1/3) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* x y) y) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (pow y 1/3) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* x y) y) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (pow x 1/3) (pow y 1/3) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* x y) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (* 1/3 (log y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (pow y 1/6) (pow y 1/6) (* (pow y 2/3) (pow x 1/3)) (* (pow y 2/3) (pow x 1/3)) (* (* (cbrt -1) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -1/3)) (* (pow y 2/3) (pow x 1/3)) (* (pow y 2/3) (pow x 1/3)) (* (* (cbrt -1) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -1/3)) (cbrt (* x y)) (cbrt (* x y)) (cbrt (* x y)) (pow y 1/3) (pow y 1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 1.563 * * * [progress]: adding candidates to table 1.701 * * [progress]: iteration 4 / 4 1.701 * * * [progress]: picking best candidate 1.717 * * * * [pick]: Picked # 1.717 * * * [progress]: localizing error 1.729 * * * [progress]: generating rewritten candidates 1.729 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.733 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.735 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.737 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 1.739 * * * [progress]: generating series expansions 1.739 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.739 * [approximate]: Approximating (pow (* x (pow y 2)) 1/3) in (x y) around 0 1.742 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 1.747 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 1.757 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 1.770 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 1.770 * [approximate]: Approximating (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 1.774 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.779 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.789 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.803 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.803 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 1.809 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 1.817 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 1.828 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 1.850 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 1.850 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.850 * [approximate]: Approximating (pow (* x y) 1/3) in (x y) around 0 1.853 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.856 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.863 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.873 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.874 * [approximate]: Approximating (pow (/ 1 (* x y)) 1/3) in (x y) around 0 1.876 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.880 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.888 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.900 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.901 * [approximate]: Approximating (pow (/ 1 (* x y)) 1/3) in (x y) around 0 1.903 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.908 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.918 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.930 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.931 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.931 * [approximate]: Approximating (pow (* x y) 1/3) in (x y) around 0 1.934 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.937 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.945 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.956 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.956 * [approximate]: Approximating (pow (/ 1 (* x y)) 1/3) in (x y) around 0 1.959 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.963 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.971 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.983 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.984 * [approximate]: Approximating (pow (/ 1 (* x y)) 1/3) in (x y) around 0 1.986 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.993 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 2.002 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 2.014 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 2.014 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 2.014 * [approximate]: Approximating (pow y 1/3) in (y) around 0 2.073 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 2.133 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 2.212 * * * [progress]: simplifying candidates 2.213 * [simplify]: Simplifying using # : (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (cbrt x) (cbrt y) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* (* (cbrt (* x y)) (cbrt (* x y))) (cbrt (* x y))) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (cbrt x) (cbrt y) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* (* (cbrt (* x y)) (cbrt (* x y))) (cbrt (* x y))) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x 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)) (exp (* 1/3 (+ (log x) (* 2 (log y))))) (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (+ (log x) (log y)))) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y))))) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x))))) (exp (* 1/3 (+ (log x) (log y)))) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y))))) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x))))) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 2.216 * * [simplify]: iteration 0 : 159 enodes (cost 208 ) 2.218 * * [simplify]: iteration 1 : 331 enodes (cost 188 ) 2.224 * * [simplify]: iteration 2 : 970 enodes (cost 152 ) 2.241 * * [simplify]: iteration 3 : 3529 enodes (cost 148 ) 2.319 * * [simplify]: iteration 4 : 5001 enodes (cost 140 ) 2.320 * [simplify]: Simplified to: (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (pow y 1/3) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* x y) y) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (pow x 1/3) (pow y 1/3) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* x y) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (pow x 1/3) (pow y 1/3) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* x y) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (* 1/3 (log y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (pow y 1/6) (pow y 1/6) (* (pow y 2/3) (pow x 1/3)) (* (pow y 2/3) (pow x 1/3)) (* (* (cbrt -1) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -1/3)) (cbrt (* x y)) (cbrt (* x y)) (cbrt (* x y)) (cbrt (* x y)) (cbrt (* x y)) (cbrt (* x y)) (pow y 1/3) (pow y 1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 2.321 * * * [progress]: adding candidates to table 2.462 * [progress]: [Phase 3 of 3] Extracting. 2.462 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.463 * * * [regime-changes]: Trying 3 branch expressions: ((* (* x y) y) y x) 2.463 * * * * [regimes]: Trying to branch on (* (* x y) y) from (# # # # # # # #) 2.517 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 2.574 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 2.629 * * * [regime]: Found split indices: #