45.893 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.018 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 30 enodes (cost 3 ) 0.022 * * [simplify]: iteration 3 : 31 enodes (cost 3 ) 0.023 * * [simplify]: iteration 4 : 31 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 1.0 in y 0.034 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.034 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of 1.0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 1.0 in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 1.0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.058 * [taylor]: Taking taylor expansion of -1 in y 0.058 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 1.0 in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.059 * [taylor]: Taking taylor expansion of -1 in x 0.059 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.059 * [taylor]: Taking taylor expansion of -1 in x 0.059 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.060 * [taylor]: Taking taylor expansion of -1 in y 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of 1.0 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * * * [progress]: simplifying candidates 0.086 * [simplify]: Simplifying using # : (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.093 * * [simplify]: iteration 0 : 148 enodes (cost 123 ) 0.097 * * [simplify]: iteration 1 : 742 enodes (cost 103 ) 0.112 * * [simplify]: iteration 2 : 3453 enodes (cost 100 ) 0.170 * * [simplify]: iteration 3 : 5001 enodes (cost 100 ) 0.171 * [simplify]: Simplified to: (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* (fma y y 1.0) x) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (pow (exp x) (fma y y 1.0)) (pow (* (fma y y 1.0) x) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* (fma y y 1.0) x) 3) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* (fma y y 1.0) x) (fma x (pow 1.0 3) (* x (pow y 6))) (* (* x (fma y y 1.0)) (- 1.0 (pow y 2))) (* x 1.0) (* (fma y y 1.0) x) (* (fma y y 1.0) x) 0.171 * * * [progress]: adding candidates to table 0.214 * * [progress]: iteration 2 / 4 0.214 * * * [progress]: picking best candidate 0.229 * * * * [pick]: Picked # 0.229 * * * [progress]: localizing error 0.234 * * * [progress]: generating rewritten candidates 0.234 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.240 * * * [progress]: generating series expansions 0.240 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.240 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.240 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.244 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.244 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.244 * [taylor]: Taking taylor expansion of x in y 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.245 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.245 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.257 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.257 * [taylor]: Taking taylor expansion of -1 in y 0.257 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.257 * [taylor]: Taking taylor expansion of -1 in x 0.257 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.258 * [taylor]: Taking taylor expansion of -1 in x 0.258 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.259 * [taylor]: Taking taylor expansion of -1 in y 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.270 * * * [progress]: simplifying candidates 0.270 * [simplify]: Simplifying using # : (expm1 (* x (* y y))) (log1p (* x (* y y))) (* x (* y y)) (* x (* y y)) (+ (log x) (+ (log y) (log y))) (+ (log x) (log (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (* (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (* (* (* x x) x) (* (* (* y y) (* 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))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) 0.274 * * [simplify]: iteration 0 : 88 enodes (cost 81 ) 0.276 * * [simplify]: iteration 1 : 292 enodes (cost 66 ) 0.282 * * [simplify]: iteration 2 : 832 enodes (cost 66 ) 0.298 * * [simplify]: iteration 3 : 2900 enodes (cost 66 ) 0.369 * * [simplify]: iteration 4 : 5002 enodes (cost 66 ) 0.370 * [simplify]: Simplified to: (expm1 (* x (* y y))) (log1p (* x (* y y))) (* 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))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (* x (* y y)) (* x (* y y)) (* x (* y y)) 0.370 * * * [progress]: adding candidates to table 0.401 * * [progress]: iteration 3 / 4 0.401 * * * [progress]: picking best candidate 0.410 * * * * [pick]: Picked # 0.410 * * * [progress]: localizing error 0.415 * * * [progress]: generating rewritten candidates 0.415 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.420 * * * [progress]: generating series expansions 0.420 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.421 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.421 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.421 * [taylor]: Taking taylor expansion of x in y 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.425 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.425 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.425 * [taylor]: Taking taylor expansion of x in y 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.425 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.426 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.437 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.437 * [taylor]: Taking taylor expansion of -1 in y 0.437 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.438 * [taylor]: Taking taylor expansion of -1 in x 0.438 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.438 * [taylor]: Taking taylor expansion of -1 in x 0.438 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.439 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of -1 in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.450 * * * [progress]: simplifying candidates 0.451 * [simplify]: Simplifying using # : (expm1 (* (* x y) y)) (log1p (* (* x 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 (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) 0.454 * * [simplify]: iteration 0 : 97 enodes (cost 78 ) 0.457 * * [simplify]: iteration 1 : 468 enodes (cost 63 ) 0.468 * * [simplify]: iteration 2 : 2089 enodes (cost 63 ) 0.508 * * [simplify]: iteration 3 : 5001 enodes (cost 62 ) 0.509 * [simplify]: Simplified to: (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* 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) 0.509 * * * [progress]: adding candidates to table 0.537 * * [progress]: iteration 4 / 4 0.537 * * * [progress]: picking best candidate 0.544 * * * * [pick]: Picked # 0.544 * * * [progress]: localizing error 0.553 * * * [progress]: generating rewritten candidates 0.553 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.557 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.561 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.564 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.571 * * * [progress]: generating series expansions 0.571 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.571 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.571 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.571 * [taylor]: Taking taylor expansion of 1/3 in y 0.571 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.571 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.572 * [taylor]: Taking taylor expansion of 1/3 in x 0.572 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.572 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.573 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.573 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.573 * [taylor]: Taking taylor expansion of 1/3 in x 0.573 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.573 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.575 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.575 * [taylor]: Taking taylor expansion of 1/3 in y 0.575 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.575 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of (log x) in y 0.575 * [taylor]: Taking taylor expansion of x in y 0.579 * [taylor]: Taking taylor expansion of 0 in y 0.586 * [taylor]: Taking taylor expansion of 0 in y 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.596 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.596 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.596 * [taylor]: Taking taylor expansion of 1/3 in y 0.596 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.596 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.596 * [taylor]: Taking taylor expansion of x in y 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.597 * [taylor]: Taking taylor expansion of 1/3 in x 0.597 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.597 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.598 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.598 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.598 * [taylor]: Taking taylor expansion of 1/3 in x 0.598 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.598 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.598 * [taylor]: Taking taylor expansion of y in x 0.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.600 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.600 * [taylor]: Taking taylor expansion of 1/3 in y 0.600 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.600 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.600 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.600 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of (log x) in y 0.600 * [taylor]: Taking taylor expansion of x in y 0.604 * [taylor]: Taking taylor expansion of 0 in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.628 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.628 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.628 * [taylor]: Taking taylor expansion of -1 in y 0.629 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.629 * [taylor]: Taking taylor expansion of 1/3 in y 0.629 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.629 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.629 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.629 * [taylor]: Taking taylor expansion of x in y 0.629 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.630 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.630 * [taylor]: Taking taylor expansion of -1 in x 0.631 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.631 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.631 * [taylor]: Taking taylor expansion of 1/3 in x 0.631 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.631 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.632 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.632 * [taylor]: Taking taylor expansion of -1 in x 0.633 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.633 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.633 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.633 * [taylor]: Taking taylor expansion of 1/3 in x 0.633 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.633 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.633 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.633 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.635 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.635 * [taylor]: Taking taylor expansion of -1 in y 0.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.635 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.635 * [taylor]: Taking taylor expansion of 1/3 in y 0.635 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.635 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.636 * [taylor]: Taking taylor expansion of (log x) in y 0.636 * [taylor]: Taking taylor expansion of x in y 0.641 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.665 * [taylor]: Taking taylor expansion of 0 in y 0.666 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.666 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.666 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.666 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.666 * [taylor]: Taking taylor expansion of 1/3 in y 0.666 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.666 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.666 * [taylor]: Taking taylor expansion of x in y 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.666 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.667 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.667 * [taylor]: Taking taylor expansion of 1/3 in x 0.667 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.667 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.667 * [taylor]: Taking taylor expansion of y in x 0.668 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.668 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.668 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.668 * [taylor]: Taking taylor expansion of 1/3 in x 0.668 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.668 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.668 * [taylor]: Taking taylor expansion of y in x 0.669 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.669 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.669 * [taylor]: Taking taylor expansion of 1/3 in y 0.669 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.669 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.669 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of (log x) in y 0.670 * [taylor]: Taking taylor expansion of x in y 0.673 * [taylor]: Taking taylor expansion of 0 in y 0.680 * [taylor]: Taking taylor expansion of 0 in y 0.690 * [taylor]: Taking taylor expansion of 0 in y 0.690 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.690 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.690 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.691 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.691 * [taylor]: Taking taylor expansion of 1/3 in y 0.691 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.691 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.691 * [taylor]: Taking taylor expansion of x in y 0.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.691 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.691 * [taylor]: Taking taylor expansion of 1/3 in x 0.692 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.692 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.692 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.693 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.693 * [taylor]: Taking taylor expansion of 1/3 in x 0.693 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.693 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.694 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.694 * [taylor]: Taking taylor expansion of 1/3 in y 0.694 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.694 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.695 * [taylor]: Taking taylor expansion of (log x) in y 0.695 * [taylor]: Taking taylor expansion of x in y 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.712 * [taylor]: Taking taylor expansion of 0 in y 0.724 * [taylor]: Taking taylor expansion of 0 in y 0.724 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.724 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.724 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.724 * [taylor]: Taking taylor expansion of -1 in y 0.725 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.725 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.725 * [taylor]: Taking taylor expansion of 1/3 in y 0.725 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.725 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.725 * [taylor]: Taking taylor expansion of x in y 0.725 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.726 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.726 * [taylor]: Taking taylor expansion of -1 in x 0.727 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.727 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.727 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.727 * [taylor]: Taking taylor expansion of 1/3 in x 0.727 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.727 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.728 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.728 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.728 * [taylor]: Taking taylor expansion of -1 in x 0.729 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.729 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.729 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.729 * [taylor]: Taking taylor expansion of 1/3 in x 0.729 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.729 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.731 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.731 * [taylor]: Taking taylor expansion of -1 in y 0.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.731 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.731 * [taylor]: Taking taylor expansion of 1/3 in y 0.731 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.731 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.731 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (log x) in y 0.732 * [taylor]: Taking taylor expansion of x in y 0.737 * [taylor]: Taking taylor expansion of 0 in y 0.747 * [taylor]: Taking taylor expansion of 0 in y 0.761 * [taylor]: Taking taylor expansion of 0 in y 0.762 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.762 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.762 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.762 * [taylor]: Taking taylor expansion of 1/3 in y 0.762 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.762 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.762 * [taylor]: Taking taylor expansion of x in y 0.762 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.763 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.763 * [taylor]: Taking taylor expansion of 1/3 in x 0.763 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.763 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.764 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.764 * [taylor]: Taking taylor expansion of 1/3 in x 0.764 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.764 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.765 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.765 * [taylor]: Taking taylor expansion of 1/3 in y 0.765 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.765 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.765 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.765 * [taylor]: Taking taylor expansion of y in y 0.766 * [taylor]: Taking taylor expansion of (log x) in y 0.766 * [taylor]: Taking taylor expansion of x in y 0.769 * [taylor]: Taking taylor expansion of 0 in y 0.776 * [taylor]: Taking taylor expansion of 0 in y 0.787 * [taylor]: Taking taylor expansion of 0 in y 0.787 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.787 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.787 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.787 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.787 * [taylor]: Taking taylor expansion of 1/3 in y 0.787 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.787 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.787 * [taylor]: Taking taylor expansion of x in y 0.787 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.788 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.788 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.788 * [taylor]: Taking taylor expansion of 1/3 in x 0.788 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.788 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.788 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.788 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.789 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.789 * [taylor]: Taking taylor expansion of 1/3 in x 0.789 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.789 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.790 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.791 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.791 * [taylor]: Taking taylor expansion of 1/3 in y 0.791 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.791 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.791 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.791 * [taylor]: Taking taylor expansion of y in y 0.791 * [taylor]: Taking taylor expansion of (log x) in y 0.791 * [taylor]: Taking taylor expansion of x in y 0.801 * [taylor]: Taking taylor expansion of 0 in y 0.809 * [taylor]: Taking taylor expansion of 0 in y 0.820 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.821 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.821 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.821 * [taylor]: Taking taylor expansion of -1 in y 0.821 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.822 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.822 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.822 * [taylor]: Taking taylor expansion of 1/3 in y 0.822 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.822 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.823 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.823 * [taylor]: Taking taylor expansion of -1 in x 0.823 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.823 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.823 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.823 * [taylor]: Taking taylor expansion of 1/3 in x 0.823 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.823 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.825 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.825 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.825 * [taylor]: Taking taylor expansion of -1 in x 0.826 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.826 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.826 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.826 * [taylor]: Taking taylor expansion of 1/3 in x 0.826 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.826 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.827 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.827 * [taylor]: Taking taylor expansion of -1 in y 0.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.828 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.828 * [taylor]: Taking taylor expansion of 1/3 in y 0.828 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.828 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.829 * [taylor]: Taking taylor expansion of (log x) in y 0.829 * [taylor]: Taking taylor expansion of x in y 0.834 * [taylor]: Taking taylor expansion of 0 in y 0.845 * [taylor]: Taking taylor expansion of 0 in y 0.860 * [taylor]: Taking taylor expansion of 0 in y 0.860 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.861 * [approximate]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in (x y) around 0 0.861 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in y 0.861 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in y 0.861 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in y 0.861 * [taylor]: Taking taylor expansion of 1/3 in y 0.861 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in y 0.861 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.861 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.861 * [taylor]: Taking taylor expansion of x in y 0.861 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.862 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in x 0.862 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in x 0.862 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in x 0.862 * [taylor]: Taking taylor expansion of 1/3 in x 0.862 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in x 0.862 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.862 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.862 * [taylor]: Taking taylor expansion of y in x 0.863 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in x 0.863 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in x 0.863 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in x 0.863 * [taylor]: Taking taylor expansion of 1/3 in x 0.863 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in x 0.863 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.863 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.863 * [taylor]: Taking taylor expansion of y in x 0.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (pow y 4))))) in y 0.865 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (pow y 4)))) in y 0.865 * [taylor]: Taking taylor expansion of 1/3 in y 0.865 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (pow y 4))) in y 0.865 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.865 * [taylor]: Taking taylor expansion of 2 in y 0.865 * [taylor]: Taking taylor expansion of (log x) in y 0.865 * [taylor]: Taking taylor expansion of x in y 0.865 * [taylor]: Taking taylor expansion of (log (pow y 4)) in y 0.865 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.865 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of 0 in y 0.877 * [taylor]: Taking taylor expansion of 0 in y 0.896 * [taylor]: Taking taylor expansion of 0 in y 0.897 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in (x y) around 0 0.897 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in y 0.897 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in y 0.897 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in y 0.897 * [taylor]: Taking taylor expansion of 1/3 in y 0.897 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in y 0.897 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in y 0.897 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.897 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.897 * [taylor]: Taking taylor expansion of x in y 0.897 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.897 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.899 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.899 * [taylor]: Taking taylor expansion of 1/3 in x 0.899 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.899 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.899 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.899 * [taylor]: Taking taylor expansion of y in x 0.900 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.900 * [taylor]: Taking taylor expansion of 1/3 in x 0.900 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.900 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.900 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.900 * [taylor]: Taking taylor expansion of y in x 0.902 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x))))) in y 0.902 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))) in y 0.902 * [taylor]: Taking taylor expansion of 1/3 in y 0.902 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 4))) (* 2 (log x))) in y 0.902 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.902 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.903 * [taylor]: Taking taylor expansion of 2 in y 0.903 * [taylor]: Taking taylor expansion of (log x) in y 0.903 * [taylor]: Taking taylor expansion of x in y 0.907 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.931 * [taylor]: Taking taylor expansion of 0 in y 0.931 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in (x y) around 0 0.931 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in y 0.931 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.931 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.931 * [taylor]: Taking taylor expansion of -1 in y 0.932 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in y 0.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in y 0.932 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in y 0.932 * [taylor]: Taking taylor expansion of 1/3 in y 0.932 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in y 0.932 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.932 * [taylor]: Taking taylor expansion of x in y 0.932 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.934 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in x 0.934 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.934 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.934 * [taylor]: Taking taylor expansion of -1 in x 0.935 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.935 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.935 * [taylor]: Taking taylor expansion of 1/3 in x 0.935 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.935 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.936 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in x 0.936 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.936 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.936 * [taylor]: Taking taylor expansion of -1 in x 0.937 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.937 * [taylor]: Taking taylor expansion of 1/3 in x 0.937 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.937 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.940 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))))) in y 0.940 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.940 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.940 * [taylor]: Taking taylor expansion of -1 in y 0.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x))))) in y 0.941 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))) in y 0.941 * [taylor]: Taking taylor expansion of 1/3 in y 0.941 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 4))) (* 2 (log x))) in y 0.941 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.941 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.941 * [taylor]: Taking taylor expansion of y in y 0.942 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.942 * [taylor]: Taking taylor expansion of 2 in y 0.942 * [taylor]: Taking taylor expansion of (log x) in y 0.942 * [taylor]: Taking taylor expansion of x in y 0.950 * [taylor]: Taking taylor expansion of 0 in y 0.962 * [taylor]: Taking taylor expansion of 0 in y 0.981 * [taylor]: Taking taylor expansion of 0 in y 0.982 * * * [progress]: simplifying candidates 0.983 * [simplify]: Simplifying using # : (expm1 (cbrt (* (* x y) y))) (log1p (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))) (expm1 (cbrt (* (* x y) y))) (log1p (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))) (expm1 (cbrt (* (* x y) y))) (log1p (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))) (expm1 (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (log1p (* (cbrt (* (* x y) y)) (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))))))) 0.994 * * [simplify]: iteration 0 : 209 enodes (cost 467 ) 0.999 * * [simplify]: iteration 1 : 684 enodes (cost 410 ) 1.015 * * [simplify]: iteration 2 : 3048 enodes (cost 353 ) 1.081 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 1.084 * [simplify]: Simplified to: (expm1 (cbrt (* (* x y) y))) (log1p (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))) (expm1 (cbrt (* (* x y) y))) (log1p (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))) (expm1 (cbrt (* (* x y) y))) (log1p (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))) (expm1 (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (log1p (* (cbrt (* (* x y) y)) (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)) 1.084 * * * [progress]: adding candidates to table 1.240 * [progress]: [Phase 3 of 3] Extracting. 1.241 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.242 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 1.242 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 1.264 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.278 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # # #) 1.298 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# #) 1.308 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # # # #) 1.335 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 1.360 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 1.384 * * * [regime]: Found split indices: #