51.130 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.019 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 22 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 0.035 * [taylor]: Taking taylor expansion of 1.0 in y 0.035 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [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 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [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 0.057 * [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 0.058 * [taylor]: Taking taylor expansion of 1.0 in y 0.058 * [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 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [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 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.085 * * * [progress]: simplifying candidates 0.085 * [simplify]: Simplifying using # : (* 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)) 0.088 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.092 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.106 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.169 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.170 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 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))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow y 6))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) 0.170 * * * [progress]: adding candidates to table 0.207 * * [progress]: iteration 2 / 4 0.207 * * * [progress]: picking best candidate 0.216 * * * * [pick]: Picked # 0.216 * * * [progress]: localizing error 0.221 * * * [progress]: generating rewritten candidates 0.221 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.227 * * * [progress]: generating series expansions 0.227 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.227 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.227 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.231 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.231 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.231 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.232 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.245 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.245 * [taylor]: Taking taylor expansion of -1 in y 0.245 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.246 * [taylor]: Taking taylor expansion of -1 in x 0.246 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.246 * [taylor]: Taking taylor expansion of -1 in x 0.246 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.247 * [taylor]: Taking taylor expansion of -1 in y 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.258 * * * [progress]: simplifying candidates 0.258 * [simplify]: Simplifying using # : (* 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)) 0.261 * * [simplify]: iteration 0 : 86 enodes (cost 75 ) 0.263 * * [simplify]: iteration 1 : 289 enodes (cost 60 ) 0.268 * * [simplify]: iteration 2 : 825 enodes (cost 60 ) 0.283 * * [simplify]: iteration 3 : 2881 enodes (cost 60 ) 0.352 * * [simplify]: iteration 4 : 5001 enodes (cost 60 ) 0.353 * [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))) (* (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)) 0.353 * * * [progress]: adding candidates to table 0.378 * * [progress]: iteration 3 / 4 0.378 * * * [progress]: picking best candidate 0.386 * * * * [pick]: Picked # 0.386 * * * [progress]: localizing error 0.392 * * * [progress]: generating rewritten candidates 0.392 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.397 * * * [progress]: generating series expansions 0.397 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.397 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.397 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.401 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.401 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.401 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.402 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.402 * [taylor]: Taking taylor expansion of y in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.413 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.413 * [taylor]: Taking taylor expansion of -1 in y 0.413 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.414 * [taylor]: Taking taylor expansion of -1 in x 0.414 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.414 * [taylor]: Taking taylor expansion of -1 in x 0.414 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.415 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.415 * [taylor]: Taking taylor expansion of -1 in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.425 * * * [progress]: simplifying candidates 0.426 * [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)) 0.429 * * [simplify]: iteration 0 : 95 enodes (cost 72 ) 0.431 * * [simplify]: iteration 1 : 466 enodes (cost 57 ) 0.442 * * [simplify]: iteration 2 : 2085 enodes (cost 57 ) 0.481 * * [simplify]: iteration 3 : 5001 enodes (cost 56 ) 0.482 * [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) 0.482 * * * [progress]: adding candidates to table 0.510 * * [progress]: iteration 4 / 4 0.510 * * * [progress]: picking best candidate 0.516 * * * * [pick]: Picked # 0.516 * * * [progress]: localizing error 0.525 * * * [progress]: generating rewritten candidates 0.525 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.529 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.533 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.536 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.543 * * * [progress]: generating series expansions 0.543 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.543 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.543 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.543 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.543 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.543 * [taylor]: Taking taylor expansion of 1/3 in y 0.543 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.543 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.543 * [taylor]: Taking taylor expansion of x in y 0.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.544 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.544 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.544 * [taylor]: Taking taylor expansion of 1/3 in x 0.544 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.544 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.546 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.546 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.546 * [taylor]: Taking taylor expansion of 1/3 in x 0.546 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.546 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.547 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.547 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.547 * [taylor]: Taking taylor expansion of 1/3 in y 0.547 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.547 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of (log x) in y 0.547 * [taylor]: Taking taylor expansion of x in y 0.551 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [taylor]: Taking taylor expansion of 0 in y 0.568 * [taylor]: Taking taylor expansion of 0 in y 0.568 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.568 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.568 * [taylor]: Taking taylor expansion of 1/3 in y 0.568 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.568 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.568 * [taylor]: Taking taylor expansion of x in y 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.569 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.569 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.569 * [taylor]: Taking taylor expansion of 1/3 in x 0.569 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.569 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.570 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.570 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.570 * [taylor]: Taking taylor expansion of 1/3 in x 0.570 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.570 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.572 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.572 * [taylor]: Taking taylor expansion of 1/3 in y 0.572 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.572 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (log x) in y 0.572 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.583 * [taylor]: Taking taylor expansion of 0 in y 0.600 * [taylor]: Taking taylor expansion of 0 in y 0.600 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.600 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.600 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.600 * [taylor]: Taking taylor expansion of -1 in y 0.601 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.601 * [taylor]: Taking taylor expansion of 1/3 in y 0.601 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.601 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.601 * [taylor]: Taking taylor expansion of x in y 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.602 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.602 * [taylor]: Taking taylor expansion of -1 in x 0.602 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.603 * [taylor]: Taking taylor expansion of 1/3 in x 0.603 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.603 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.604 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.604 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.604 * [taylor]: Taking taylor expansion of -1 in x 0.605 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.605 * [taylor]: Taking taylor expansion of 1/3 in x 0.605 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.605 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.605 * [taylor]: Taking taylor expansion of y in x 0.606 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.606 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.606 * [taylor]: Taking taylor expansion of -1 in y 0.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.607 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.607 * [taylor]: Taking taylor expansion of 1/3 in y 0.607 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.607 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of (log x) in y 0.608 * [taylor]: Taking taylor expansion of x in y 0.613 * [taylor]: Taking taylor expansion of 0 in y 0.622 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [taylor]: Taking taylor expansion of 0 in y 0.637 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.637 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.637 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.637 * [taylor]: Taking taylor expansion of 1/3 in y 0.637 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.637 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.637 * [taylor]: Taking taylor expansion of x in y 0.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.638 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.638 * [taylor]: Taking taylor expansion of 1/3 in x 0.638 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.638 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.639 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.639 * [taylor]: Taking taylor expansion of 1/3 in x 0.639 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.639 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.640 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.640 * [taylor]: Taking taylor expansion of 1/3 in y 0.640 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.640 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of (log x) in y 0.641 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of 0 in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.661 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.661 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.661 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.661 * [taylor]: Taking taylor expansion of 1/3 in y 0.661 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.661 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.662 * [taylor]: Taking taylor expansion of x in y 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.662 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.662 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.662 * [taylor]: Taking taylor expansion of 1/3 in x 0.662 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.662 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.663 * [taylor]: Taking taylor expansion of y in x 0.664 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.664 * [taylor]: Taking taylor expansion of 1/3 in x 0.664 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.664 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.664 * [taylor]: Taking taylor expansion of y in x 0.665 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.665 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.665 * [taylor]: Taking taylor expansion of 1/3 in y 0.665 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.665 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of (log x) in y 0.666 * [taylor]: Taking taylor expansion of x in y 0.669 * [taylor]: Taking taylor expansion of 0 in y 0.677 * [taylor]: Taking taylor expansion of 0 in y 0.692 * [taylor]: Taking taylor expansion of 0 in y 0.693 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.693 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.693 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.693 * [taylor]: Taking taylor expansion of -1 in y 0.694 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.694 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.694 * [taylor]: Taking taylor expansion of 1/3 in y 0.694 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.694 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.694 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.694 * [taylor]: Taking taylor expansion of x in y 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.694 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.694 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.695 * [taylor]: Taking taylor expansion of -1 in x 0.695 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.695 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.695 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.695 * [taylor]: Taking taylor expansion of 1/3 in x 0.695 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.695 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.697 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.697 * [taylor]: Taking taylor expansion of -1 in x 0.697 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.697 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.697 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.697 * [taylor]: Taking taylor expansion of 1/3 in x 0.697 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.697 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.699 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.699 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.699 * [taylor]: Taking taylor expansion of -1 in y 0.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.700 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.700 * [taylor]: Taking taylor expansion of 1/3 in y 0.700 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.700 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.700 * [taylor]: Taking taylor expansion of y in y 0.701 * [taylor]: Taking taylor expansion of (log x) in y 0.701 * [taylor]: Taking taylor expansion of x in y 0.705 * [taylor]: Taking taylor expansion of 0 in y 0.715 * [taylor]: Taking taylor expansion of 0 in y 0.729 * [taylor]: Taking taylor expansion of 0 in y 0.729 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.730 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.730 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.730 * [taylor]: Taking taylor expansion of 1/3 in y 0.730 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.730 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.730 * [taylor]: Taking taylor expansion of x in y 0.730 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.730 * [taylor]: Taking taylor expansion of 1/3 in x 0.731 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.731 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.732 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.732 * [taylor]: Taking taylor expansion of 1/3 in x 0.732 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.732 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.732 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.733 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.733 * [taylor]: Taking taylor expansion of 1/3 in y 0.733 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.733 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.733 * [taylor]: Taking taylor expansion of (log x) in y 0.733 * [taylor]: Taking taylor expansion of x in y 0.737 * [taylor]: Taking taylor expansion of 0 in y 0.744 * [taylor]: Taking taylor expansion of 0 in y 0.754 * [taylor]: Taking taylor expansion of 0 in y 0.754 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.754 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.754 * [taylor]: Taking taylor expansion of 1/3 in y 0.754 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.754 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.754 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.754 * [taylor]: Taking taylor expansion of x in y 0.754 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.754 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.755 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.755 * [taylor]: Taking taylor expansion of 1/3 in x 0.755 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.755 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.755 * [taylor]: Taking taylor expansion of y in x 0.756 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.756 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.756 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.756 * [taylor]: Taking taylor expansion of 1/3 in x 0.756 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.756 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.756 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.757 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.757 * [taylor]: Taking taylor expansion of 1/3 in y 0.757 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.757 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.758 * [taylor]: Taking taylor expansion of (log x) in y 0.758 * [taylor]: Taking taylor expansion of x in y 0.762 * [taylor]: Taking taylor expansion of 0 in y 0.775 * [taylor]: Taking taylor expansion of 0 in y 0.786 * [taylor]: Taking taylor expansion of 0 in y 0.786 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.786 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.786 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.786 * [taylor]: Taking taylor expansion of -1 in y 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 (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.788 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.788 * [taylor]: Taking taylor expansion of -1 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 (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.790 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.790 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.791 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.791 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.791 * [taylor]: Taking taylor expansion of 1/3 in x 0.791 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.791 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.791 * [taylor]: Taking taylor expansion of y in x 0.793 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.793 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.793 * [taylor]: Taking taylor expansion of -1 in y 0.794 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.794 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.794 * [taylor]: Taking taylor expansion of 1/3 in y 0.794 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.794 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [taylor]: Taking taylor expansion of (log x) in y 0.794 * [taylor]: Taking taylor expansion of x in y 0.799 * [taylor]: Taking taylor expansion of 0 in y 0.809 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.823 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.823 * [approximate]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in (x y) around 0 0.824 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in y 0.824 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in y 0.824 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in y 0.824 * [taylor]: Taking taylor expansion of 1/3 in y 0.824 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in y 0.824 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.824 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.824 * [taylor]: Taking taylor expansion of x in y 0.824 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in x 0.825 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in x 0.825 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in x 0.825 * [taylor]: Taking taylor expansion of 1/3 in x 0.825 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in x 0.825 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.825 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in x 0.826 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in x 0.826 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in x 0.826 * [taylor]: Taking taylor expansion of 1/3 in x 0.826 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in x 0.826 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (pow y 4))))) in y 0.827 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (pow y 4)))) in y 0.827 * [taylor]: Taking taylor expansion of 1/3 in y 0.827 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (pow y 4))) in y 0.827 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.827 * [taylor]: Taking taylor expansion of 2 in y 0.827 * [taylor]: Taking taylor expansion of (log x) in y 0.827 * [taylor]: Taking taylor expansion of x in y 0.827 * [taylor]: Taking taylor expansion of (log (pow y 4)) in y 0.827 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of 0 in y 0.839 * [taylor]: Taking taylor expansion of 0 in y 0.851 * [taylor]: Taking taylor expansion of 0 in y 0.852 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in (x y) around 0 0.852 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in y 0.852 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in y 0.852 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in y 0.852 * [taylor]: Taking taylor expansion of 1/3 in y 0.852 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in y 0.852 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.852 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.852 * [taylor]: Taking taylor expansion of x in y 0.852 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.853 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.853 * [taylor]: Taking taylor expansion of 1/3 in x 0.853 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.853 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.853 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.853 * [taylor]: Taking taylor expansion of y in x 0.854 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.854 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.855 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.855 * [taylor]: Taking taylor expansion of 1/3 in x 0.855 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.855 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.855 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.855 * [taylor]: Taking taylor expansion of y in x 0.856 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x))))) in y 0.856 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))) in y 0.856 * [taylor]: Taking taylor expansion of 1/3 in y 0.856 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 4))) (* 2 (log x))) in y 0.856 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.856 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.856 * [taylor]: Taking taylor expansion of y in y 0.857 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.857 * [taylor]: Taking taylor expansion of 2 in y 0.857 * [taylor]: Taking taylor expansion of (log x) in y 0.857 * [taylor]: Taking taylor expansion of x in y 0.866 * [taylor]: Taking taylor expansion of 0 in y 0.875 * [taylor]: Taking taylor expansion of 0 in y 0.888 * [taylor]: Taking taylor expansion of 0 in y 0.889 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in (x y) around 0 0.889 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in y 0.889 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.889 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.889 * [taylor]: Taking taylor expansion of -1 in y 0.889 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in y 0.889 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in y 0.889 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in y 0.890 * [taylor]: Taking taylor expansion of 1/3 in y 0.890 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in y 0.890 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in y 0.890 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.890 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.890 * [taylor]: Taking taylor expansion of x in y 0.890 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.890 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in x 0.891 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.891 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.891 * [taylor]: Taking taylor expansion of -1 in x 0.892 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.892 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.892 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.892 * [taylor]: Taking taylor expansion of 1/3 in x 0.892 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.892 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.892 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.892 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.892 * [taylor]: Taking taylor expansion of y in x 0.893 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in x 0.893 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.893 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.893 * [taylor]: Taking taylor expansion of -1 in x 0.894 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.894 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.894 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.894 * [taylor]: Taking taylor expansion of 1/3 in x 0.894 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.894 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.894 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.894 * [taylor]: Taking taylor expansion of y in x 0.897 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))))) in y 0.897 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.897 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.897 * [taylor]: Taking taylor expansion of -1 in y 0.898 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x))))) in y 0.898 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))) in y 0.898 * [taylor]: Taking taylor expansion of 1/3 in y 0.898 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 4))) (* 2 (log x))) in y 0.898 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.898 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.899 * [taylor]: Taking taylor expansion of 2 in y 0.899 * [taylor]: Taking taylor expansion of (log x) in y 0.899 * [taylor]: Taking taylor expansion of x in y 0.906 * [taylor]: Taking taylor expansion of 0 in y 0.918 * [taylor]: Taking taylor expansion of 0 in y 0.937 * [taylor]: Taking taylor expansion of 0 in y 0.938 * * * [progress]: simplifying candidates 0.938 * [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))))))) 0.943 * * [simplify]: iteration 0 : 201 enodes (cost 433 ) 0.948 * * [simplify]: iteration 1 : 643 enodes (cost 382 ) 0.964 * * [simplify]: iteration 2 : 2882 enodes (cost 313 ) 1.031 * * [simplify]: iteration 3 : 5002 enodes (cost 305 ) 1.033 * [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)) 1.034 * * * [progress]: adding candidates to table 1.205 * [progress]: [Phase 3 of 3] Extracting. 1.205 * * [regime]: Finding splitpoints for: (# # # #) 1.205 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 1.205 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 1.220 * * * * [regimes]: Trying to branch on y from (# # # #) 1.235 * * * * [regimes]: Trying to branch on x from (# # # #) 1.253 * * * [regime]: Found split indices: #