5.920 * [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))) 0.016 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.019 * * [simplify]: iteration 2 : 30 enodes (cost 3 ) 0.020 * * [simplify]: iteration 3 : 31 enodes (cost 3 ) 0.022 * * [simplify]: iteration 4 : 31 enodes (cost 3 ) 0.022 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.035 * [taylor]: Taking taylor expansion of x 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 0.035 * [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 0.036 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 1.0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 1.0 in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [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) x) in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [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 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.062 * [taylor]: Taking taylor expansion of -1 in y 0.062 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 1.0 in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.064 * [taylor]: Taking taylor expansion of -1 in x 0.064 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.064 * [taylor]: Taking taylor expansion of -1 in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of 1.0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.089 * * * [progress]: simplifying candidates 0.089 * [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 ) 0.096 * * [simplify]: iteration 1 : 742 enodes (cost 103 ) 0.112 * * [simplify]: iteration 2 : 3453 enodes (cost 100 ) 0.173 * * [simplify]: iteration 3 : 5001 enodes (cost 100 ) 0.174 * [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) 0.174 * * * [progress]: adding candidates to table 0.227 * * [progress]: iteration 2 / 4 0.227 * * * [progress]: picking best candidate 0.236 * * * * [pick]: Picked # 0.236 * * * [progress]: localizing error 0.242 * * * [progress]: generating rewritten candidates 0.242 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.249 * * * [progress]: generating series expansions 0.249 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.249 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.249 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.253 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.253 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.253 * [taylor]: Taking taylor expansion of x in y 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.254 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.254 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.268 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.268 * [taylor]: Taking taylor expansion of -1 in y 0.268 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.268 * [taylor]: Taking taylor expansion of -1 in x 0.268 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.269 * [taylor]: Taking taylor expansion of -1 in x 0.269 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.270 * [taylor]: Taking taylor expansion of -1 in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.281 * * * [progress]: simplifying candidates 0.281 * [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)) 0.284 * * [simplify]: iteration 0 : 88 enodes (cost 81 ) 0.286 * * [simplify]: iteration 1 : 292 enodes (cost 66 ) 0.292 * * [simplify]: iteration 2 : 832 enodes (cost 66 ) 0.310 * * [simplify]: iteration 3 : 2900 enodes (cost 66 ) 0.382 * * [simplify]: iteration 4 : 5002 enodes (cost 66 ) 0.383 * [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)) 0.383 * * * [progress]: adding candidates to table 0.418 * * [progress]: iteration 3 / 4 0.418 * * * [progress]: picking best candidate 0.425 * * * * [pick]: Picked # 0.425 * * * [progress]: localizing error 0.431 * * * [progress]: generating rewritten candidates 0.431 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.438 * * * [progress]: generating series expansions 0.438 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.438 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.438 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.438 * [taylor]: Taking taylor expansion of x in y 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.438 * [taylor]: Taking taylor expansion of y in y 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 (* 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 0 in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.442 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.442 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.442 * [taylor]: Taking taylor expansion of x in y 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.442 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.443 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.454 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.454 * [taylor]: Taking taylor expansion of -1 in y 0.454 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.454 * [taylor]: Taking taylor expansion of -1 in x 0.454 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.455 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.455 * [taylor]: Taking taylor expansion of -1 in y 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.466 * * * [progress]: simplifying candidates 0.467 * [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)) 0.470 * * [simplify]: iteration 0 : 97 enodes (cost 78 ) 0.473 * * [simplify]: iteration 1 : 468 enodes (cost 63 ) 0.485 * * [simplify]: iteration 2 : 2089 enodes (cost 63 ) 0.524 * * [simplify]: iteration 3 : 5001 enodes (cost 62 ) 0.524 * [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) 0.525 * * * [progress]: adding candidates to table 0.558 * * [progress]: iteration 4 / 4 0.559 * * * [progress]: picking best candidate 0.565 * * * * [pick]: Picked # 0.565 * * * [progress]: localizing error 0.575 * * * [progress]: generating rewritten candidates 0.575 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.580 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.585 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.589 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.598 * * * [progress]: generating series expansions 0.598 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.599 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.599 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.599 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.599 * [taylor]: Taking taylor expansion of 1/3 in y 0.599 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.599 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.600 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.600 * [taylor]: Taking taylor expansion of 1/3 in x 0.600 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.600 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.601 * [taylor]: Taking taylor expansion of 1/3 in x 0.601 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.601 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.602 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.602 * [taylor]: Taking taylor expansion of 1/3 in y 0.602 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.602 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (log x) in y 0.603 * [taylor]: Taking taylor expansion of x in y 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.626 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.626 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.626 * [taylor]: Taking taylor expansion of 1/3 in y 0.626 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.626 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.626 * [taylor]: Taking taylor expansion of x in y 0.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.627 * [taylor]: Taking taylor expansion of 1/3 in x 0.627 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.627 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.628 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.628 * [taylor]: Taking taylor expansion of 1/3 in x 0.628 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.628 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.630 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.630 * [taylor]: Taking taylor expansion of 1/3 in y 0.630 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.630 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of (log x) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.642 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.653 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.653 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.653 * [taylor]: Taking taylor expansion of -1 in y 0.654 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.654 * [taylor]: Taking taylor expansion of 1/3 in y 0.654 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.654 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.654 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.654 * [taylor]: Taking taylor expansion of x in y 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.655 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.655 * [taylor]: Taking taylor expansion of -1 in x 0.656 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.656 * [taylor]: Taking taylor expansion of 1/3 in x 0.656 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.656 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.657 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.657 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.657 * [taylor]: Taking taylor expansion of -1 in x 0.658 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.658 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.658 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.658 * [taylor]: Taking taylor expansion of 1/3 in x 0.658 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.658 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.658 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.660 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.660 * [taylor]: Taking taylor expansion of -1 in y 0.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.661 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.661 * [taylor]: Taking taylor expansion of 1/3 in y 0.661 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.661 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of (log x) in y 0.662 * [taylor]: Taking taylor expansion of x in y 0.666 * [taylor]: Taking taylor expansion of 0 in y 0.676 * [taylor]: Taking taylor expansion of 0 in y 0.690 * [taylor]: Taking taylor expansion of 0 in y 0.691 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.691 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.691 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.691 * [taylor]: Taking taylor expansion of (* 1/3 (log (* 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 (* 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 0.692 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.692 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.692 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.692 * [taylor]: Taking taylor expansion of 1/3 in x 0.692 * [taylor]: Taking taylor expansion of (log (* 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 (* x (pow y 2)) 1/3) in x 0.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.693 * [taylor]: Taking taylor expansion of (* 1/3 (log (* 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 (* 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 (pow y 2)) (log x)))) in y 0.694 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.694 * [taylor]: Taking taylor expansion of 1/3 in y 0.695 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.695 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.695 * [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 0.709 * [taylor]: Taking taylor expansion of 0 in y 0.719 * [taylor]: Taking taylor expansion of 0 in y 0.719 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.719 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.719 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.719 * [taylor]: Taking taylor expansion of 1/3 in y 0.719 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.719 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.719 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.719 * [taylor]: Taking taylor expansion of x in y 0.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.720 * [taylor]: Taking taylor expansion of 1/3 in x 0.720 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.720 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.721 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.722 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.722 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.722 * [taylor]: Taking taylor expansion of 1/3 in x 0.722 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.722 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.723 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.723 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.723 * [taylor]: Taking taylor expansion of 1/3 in y 0.723 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.723 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of (log x) in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.728 * [taylor]: Taking taylor expansion of 0 in y 0.736 * [taylor]: Taking taylor expansion of 0 in y 0.749 * [taylor]: Taking taylor expansion of 0 in y 0.749 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.749 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.749 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.749 * [taylor]: Taking taylor expansion of -1 in y 0.750 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.750 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.750 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.750 * [taylor]: Taking taylor expansion of 1/3 in y 0.750 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.750 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.750 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.750 * [taylor]: Taking taylor expansion of x in y 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.751 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.751 * [taylor]: Taking taylor expansion of -1 in x 0.752 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.752 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.752 * [taylor]: Taking taylor expansion of 1/3 in x 0.752 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.752 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.752 * [taylor]: Taking taylor expansion of y in x 0.753 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.753 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.753 * [taylor]: Taking taylor expansion of -1 in x 0.754 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.754 * [taylor]: Taking taylor expansion of 1/3 in x 0.754 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.754 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.754 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.754 * [taylor]: Taking taylor expansion of y in x 0.756 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.756 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.756 * [taylor]: Taking taylor expansion of -1 in y 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 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.757 * [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 0.772 * [taylor]: Taking taylor expansion of 0 in y 0.786 * [taylor]: Taking taylor expansion of 0 in y 0.786 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.786 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.786 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.786 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.786 * [taylor]: Taking taylor expansion of 1/3 in y 0.786 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.786 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.786 * [taylor]: Taking taylor expansion of x in y 0.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.787 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.787 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.787 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.787 * [taylor]: Taking taylor expansion of 1/3 in x 0.787 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.787 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.787 * [taylor]: Taking taylor expansion of y in x 0.788 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.788 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.788 * [taylor]: Taking taylor expansion of (* 1/3 (log (* 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 (* 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 0.789 * [taylor]: Taking taylor expansion of y in x 0.790 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.790 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.790 * [taylor]: Taking taylor expansion of 1/3 in y 0.790 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.790 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.790 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.790 * [taylor]: Taking taylor expansion of y in y 0.790 * [taylor]: Taking taylor expansion of (log x) in y 0.790 * [taylor]: Taking taylor expansion of x in y 0.797 * [taylor]: Taking taylor expansion of 0 in y 0.804 * [taylor]: Taking taylor expansion of 0 in y 0.814 * [taylor]: Taking taylor expansion of 0 in y 0.814 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.814 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.814 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.814 * [taylor]: Taking taylor expansion of 1/3 in y 0.814 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.814 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.814 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.815 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.815 * [taylor]: Taking taylor expansion of 1/3 in x 0.815 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.815 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.815 * [taylor]: Taking taylor expansion of y in x 0.816 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.816 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.816 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.816 * [taylor]: Taking taylor expansion of 1/3 in x 0.816 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.817 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.817 * [taylor]: Taking taylor expansion of y in x 0.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.818 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.818 * [taylor]: Taking taylor expansion of 1/3 in y 0.818 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.818 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of (log x) in y 0.819 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of 0 in y 0.830 * [taylor]: Taking taylor expansion of 0 in y 0.841 * [taylor]: Taking taylor expansion of 0 in y 0.841 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.841 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.841 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.841 * [taylor]: Taking taylor expansion of -1 in y 0.842 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.842 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.842 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.842 * [taylor]: Taking taylor expansion of 1/3 in y 0.842 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.842 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.842 * [taylor]: Taking taylor expansion of x in y 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.843 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.843 * [taylor]: Taking taylor expansion of -1 in x 0.843 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.844 * [taylor]: Taking taylor expansion of 1/3 in x 0.844 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.844 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.844 * [taylor]: Taking taylor expansion of y in x 0.845 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.845 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.845 * [taylor]: Taking taylor expansion of -1 in x 0.846 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.846 * [taylor]: Taking taylor expansion of 1/3 in x 0.846 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.846 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.846 * [taylor]: Taking taylor expansion of y in x 0.847 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.848 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.848 * [taylor]: Taking taylor expansion of -1 in y 0.848 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.848 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.848 * [taylor]: Taking taylor expansion of 1/3 in y 0.848 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.848 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of (log x) in y 0.849 * [taylor]: Taking taylor expansion of x in y 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.863 * [taylor]: Taking taylor expansion of 0 in y 0.877 * [taylor]: Taking taylor expansion of 0 in y 0.878 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.881 * [approximate]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in (x y) around 0 0.881 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in y 0.881 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in y 0.881 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in y 0.881 * [taylor]: Taking taylor expansion of 1/3 in y 0.881 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in y 0.881 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.881 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.881 * [taylor]: Taking taylor expansion of x in y 0.881 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.881 * [taylor]: Taking taylor expansion of y in y 0.882 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in x 0.882 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in x 0.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in x 0.883 * [taylor]: Taking taylor expansion of 1/3 in x 0.883 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in x 0.883 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.883 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.883 * [taylor]: Taking taylor expansion of y in x 0.884 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in x 0.884 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in x 0.884 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in x 0.884 * [taylor]: Taking taylor expansion of 1/3 in x 0.884 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in x 0.884 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.884 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.884 * [taylor]: Taking taylor expansion of y in x 0.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (pow y 4))))) in y 0.885 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (pow y 4)))) in y 0.885 * [taylor]: Taking taylor expansion of 1/3 in y 0.885 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (pow y 4))) in y 0.885 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.885 * [taylor]: Taking taylor expansion of 2 in y 0.885 * [taylor]: Taking taylor expansion of (log x) in y 0.885 * [taylor]: Taking taylor expansion of x in y 0.885 * [taylor]: Taking taylor expansion of (log (pow y 4)) in y 0.885 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.885 * [taylor]: Taking taylor expansion of y in y 0.889 * [taylor]: Taking taylor expansion of 0 in y 0.897 * [taylor]: Taking taylor expansion of 0 in y 0.908 * [taylor]: Taking taylor expansion of 0 in y 0.909 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in (x y) around 0 0.909 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in y 0.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in y 0.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in y 0.909 * [taylor]: Taking taylor expansion of 1/3 in y 0.909 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in y 0.909 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.909 * [taylor]: Taking taylor expansion of x in y 0.909 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.910 * [taylor]: Taking taylor expansion of 1/3 in x 0.910 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.910 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.910 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.911 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.912 * [taylor]: Taking taylor expansion of 1/3 in x 0.912 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.912 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.913 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x))))) in y 0.913 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))) in y 0.913 * [taylor]: Taking taylor expansion of 1/3 in y 0.913 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 4))) (* 2 (log x))) in y 0.913 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.913 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.914 * [taylor]: Taking taylor expansion of 2 in y 0.914 * [taylor]: Taking taylor expansion of (log x) in y 0.914 * [taylor]: Taking taylor expansion of x in y 0.918 * [taylor]: Taking taylor expansion of 0 in y 0.926 * [taylor]: Taking taylor expansion of 0 in y 0.940 * [taylor]: Taking taylor expansion of 0 in y 0.941 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in (x y) around 0 0.941 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in y 0.941 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.941 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.941 * [taylor]: Taking taylor expansion of -1 in y 0.941 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in y 0.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in y 0.941 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in y 0.942 * [taylor]: Taking taylor expansion of 1/3 in y 0.942 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in y 0.942 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in y 0.942 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.942 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.942 * [taylor]: Taking taylor expansion of x in y 0.942 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.942 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in x 0.943 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.943 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.943 * [taylor]: Taking taylor expansion of -1 in x 0.944 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.944 * [taylor]: Taking taylor expansion of 1/3 in x 0.944 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.944 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in x 0.945 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.945 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.945 * [taylor]: Taking taylor expansion of -1 in x 0.946 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.946 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.946 * [taylor]: Taking taylor expansion of 1/3 in x 0.946 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.946 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.946 * [taylor]: Taking taylor expansion of y in x 0.949 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))))) in y 0.949 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.949 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.949 * [taylor]: Taking taylor expansion of -1 in y 0.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x))))) in y 0.950 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))) in y 0.950 * [taylor]: Taking taylor expansion of 1/3 in y 0.950 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 4))) (* 2 (log x))) in y 0.950 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.950 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.951 * [taylor]: Taking taylor expansion of 2 in y 0.951 * [taylor]: Taking taylor expansion of (log x) in y 0.951 * [taylor]: Taking taylor expansion of x in y 0.958 * [taylor]: Taking taylor expansion of 0 in y 0.973 * [taylor]: Taking taylor expansion of 0 in y 0.990 * [taylor]: Taking taylor expansion of 0 in y 0.991 * * * [progress]: simplifying candidates 0.991 * [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))))))) 0.996 * * [simplify]: iteration 0 : 209 enodes (cost 467 ) 1.001 * * [simplify]: iteration 1 : 684 enodes (cost 410 ) 1.016 * * [simplify]: iteration 2 : 3048 enodes (cost 353 ) 1.080 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 1.082 * [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)) 1.082 * * * [progress]: adding candidates to table 1.273 * [progress]: [Phase 3 of 3] Extracting. 1.273 * * [regime]: Finding splitpoints for: (# # # # # #) 1.274 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 1.274 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.294 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.304 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.326 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.346 * * * [regime]: Found split indices: #