5.902 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.020 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 30 enodes (cost 3 ) 0.025 * * [simplify]: iteration 3 : 31 enodes (cost 3 ) 0.026 * * [simplify]: iteration 4 : 31 enodes (cost 3 ) 0.026 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.041 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) 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 0.041 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) 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 (+ (pow y 2) 1.0)) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) 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 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 1.0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 1.0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.066 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.066 * [taylor]: Taking taylor expansion of -1 in y 0.066 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of 1.0 in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.067 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.067 * [taylor]: Taking taylor expansion of -1 in x 0.067 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.067 * [taylor]: Taking taylor expansion of -1 in x 0.067 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.068 * [taylor]: Taking taylor expansion of -1 in y 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of 1.0 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * * * [progress]: simplifying candidates 0.093 * [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)) 0.096 * * [simplify]: iteration 0 : 148 enodes (cost 123 ) 0.100 * * [simplify]: iteration 1 : 742 enodes (cost 103 ) 0.116 * * [simplify]: iteration 2 : 3453 enodes (cost 100 ) 0.176 * * [simplify]: iteration 3 : 5001 enodes (cost 100 ) 0.177 * [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) 0.177 * * * [progress]: adding candidates to table 0.229 * * [progress]: iteration 2 / 4 0.229 * * * [progress]: picking best candidate 0.237 * * * * [pick]: Picked # 0.237 * * * [progress]: localizing error 0.242 * * * [progress]: generating rewritten candidates 0.242 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.250 * * * [progress]: generating series expansions 0.250 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.250 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.254 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.254 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.254 * [taylor]: Taking taylor expansion of y in y 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 (* x (pow y 2))) in x 0.255 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.266 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.266 * [taylor]: Taking taylor expansion of -1 in y 0.266 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.267 * [taylor]: Taking taylor expansion of -1 in x 0.267 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.267 * [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 0.268 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of -1 in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.279 * * * [progress]: simplifying candidates 0.279 * [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)) 0.283 * * [simplify]: iteration 0 : 88 enodes (cost 81 ) 0.285 * * [simplify]: iteration 1 : 292 enodes (cost 66 ) 0.291 * * [simplify]: iteration 2 : 832 enodes (cost 66 ) 0.307 * * [simplify]: iteration 3 : 2900 enodes (cost 66 ) 0.380 * * [simplify]: iteration 4 : 5002 enodes (cost 66 ) 0.381 * [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)) 0.381 * * * [progress]: adding candidates to table 0.415 * * [progress]: iteration 3 / 4 0.415 * * * [progress]: picking best candidate 0.423 * * * * [pick]: Picked # 0.423 * * * [progress]: localizing error 0.428 * * * [progress]: generating rewritten candidates 0.428 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.436 * * * [progress]: generating series expansions 0.436 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.436 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.436 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.436 * [taylor]: Taking taylor expansion of x in y 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.440 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.440 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.441 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.441 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.453 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.453 * [taylor]: Taking taylor expansion of -1 in y 0.453 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.453 * [taylor]: Taking taylor expansion of -1 in x 0.453 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.453 * [taylor]: Taking taylor expansion of y in x 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 0.454 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.454 * [taylor]: Taking taylor expansion of -1 in y 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.458 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.469 * [taylor]: Taking taylor expansion of 0 in y 0.469 * * * [progress]: simplifying candidates 0.469 * [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)) 0.473 * * [simplify]: iteration 0 : 97 enodes (cost 78 ) 0.476 * * [simplify]: iteration 1 : 468 enodes (cost 63 ) 0.488 * * [simplify]: iteration 2 : 2089 enodes (cost 63 ) 0.529 * * [simplify]: iteration 3 : 5001 enodes (cost 62 ) 0.530 * [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) 0.530 * * * [progress]: adding candidates to table 0.560 * * [progress]: iteration 4 / 4 0.560 * * * [progress]: picking best candidate 0.566 * * * * [pick]: Picked # 0.566 * * * [progress]: localizing error 0.578 * * * [progress]: generating rewritten candidates 0.578 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.584 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.589 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.594 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.603 * * * [progress]: generating series expansions 0.603 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.603 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.603 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.604 * [taylor]: Taking taylor expansion of 1/3 in y 0.604 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.604 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.604 * [taylor]: Taking taylor expansion of x in y 0.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.605 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (* 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 (* 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 (pow (* x (pow y 2)) 1/3) in x 0.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.606 * [taylor]: Taking taylor expansion of 1/3 in x 0.606 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.606 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.606 * [taylor]: Taking taylor expansion of y in x 0.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.607 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (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 (pow y 2)) (log x)) in y 0.607 * [taylor]: Taking taylor expansion of (log (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 0.611 * [taylor]: Taking taylor expansion of 0 in y 0.618 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.628 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.628 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.628 * [taylor]: Taking taylor expansion of 1/3 in y 0.628 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.628 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.628 * [taylor]: Taking taylor expansion of x in y 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.629 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.629 * [taylor]: Taking taylor expansion of 1/3 in x 0.629 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.629 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.629 * [taylor]: Taking taylor expansion of y in x 0.630 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.630 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.630 * [taylor]: Taking taylor expansion of 1/3 in x 0.630 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.630 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.630 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.632 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.632 * [taylor]: Taking taylor expansion of 1/3 in y 0.632 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.632 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.632 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.632 * [taylor]: Taking taylor expansion of (log x) in y 0.632 * [taylor]: Taking taylor expansion of x in y 0.636 * [taylor]: Taking taylor expansion of 0 in y 0.644 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.656 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.656 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.656 * [taylor]: Taking taylor expansion of -1 in y 0.657 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.657 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.657 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.657 * [taylor]: Taking taylor expansion of 1/3 in y 0.657 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.657 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.657 * [taylor]: Taking taylor expansion of x in y 0.657 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.658 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.658 * [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 0.659 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.659 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.660 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.660 * [taylor]: Taking taylor expansion of -1 in x 0.660 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.661 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.661 * [taylor]: Taking taylor expansion of 1/3 in x 0.661 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.661 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.662 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.662 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.662 * [taylor]: Taking taylor expansion of -1 in y 0.663 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.663 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.663 * [taylor]: Taking taylor expansion of 1/3 in y 0.663 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.663 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.663 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.663 * [taylor]: Taking taylor expansion of y in y 0.664 * [taylor]: Taking taylor expansion of (log x) in y 0.664 * [taylor]: Taking taylor expansion of x in y 0.671 * [taylor]: Taking taylor expansion of 0 in y 0.681 * [taylor]: Taking taylor expansion of 0 in y 0.695 * [taylor]: Taking taylor expansion of 0 in y 0.695 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.695 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.695 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.695 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.695 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.695 * [taylor]: Taking taylor expansion of 1/3 in y 0.695 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.695 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.695 * [taylor]: Taking taylor expansion of x in y 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.696 * [taylor]: Taking taylor expansion of 1/3 in x 0.696 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.696 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.696 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.697 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.697 * [taylor]: Taking taylor expansion of (* 1/3 (log (* 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 (* 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 0.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.698 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.699 * [taylor]: Taking taylor expansion of 1/3 in y 0.699 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.699 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of (log x) in y 0.699 * [taylor]: Taking taylor expansion of x in y 0.702 * [taylor]: Taking taylor expansion of 0 in y 0.709 * [taylor]: Taking taylor expansion of 0 in y 0.718 * [taylor]: Taking taylor expansion of 0 in y 0.718 * [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 0.719 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.719 * [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 0.720 * [taylor]: Taking taylor expansion of y in x 0.721 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.721 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.721 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.721 * [taylor]: Taking taylor expansion of 1/3 in x 0.721 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.721 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.721 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [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 (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.722 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.722 * [taylor]: Taking taylor expansion of 1/3 in y 0.722 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.722 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.723 * [taylor]: Taking taylor expansion of (log x) in y 0.723 * [taylor]: Taking taylor expansion of x in y 0.726 * [taylor]: Taking taylor expansion of 0 in y 0.734 * [taylor]: Taking taylor expansion of 0 in y 0.745 * [taylor]: Taking taylor expansion of 0 in y 0.745 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.745 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.745 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.745 * [taylor]: Taking taylor expansion of -1 in y 0.746 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.746 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.746 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.746 * [taylor]: Taking taylor expansion of 1/3 in y 0.746 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.746 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.746 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.746 * [taylor]: Taking taylor expansion of x in y 0.746 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.747 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.747 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.747 * [taylor]: Taking taylor expansion of -1 in x 0.747 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.747 * [taylor]: Taking taylor expansion of 1/3 in x 0.747 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.748 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.748 * [taylor]: Taking taylor expansion of y in x 0.749 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.749 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.749 * [taylor]: Taking taylor expansion of -1 in x 0.749 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.749 * [taylor]: Taking taylor expansion of 1/3 in x 0.750 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.750 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.750 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.750 * [taylor]: Taking taylor expansion of y in x 0.751 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.751 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.751 * [taylor]: Taking taylor expansion of -1 in y 0.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.752 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.752 * [taylor]: Taking taylor expansion of 1/3 in y 0.752 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.752 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.752 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.752 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of (log x) in y 0.753 * [taylor]: Taking taylor expansion of x in y 0.760 * [taylor]: Taking taylor expansion of 0 in y 0.769 * [taylor]: Taking taylor expansion of 0 in y 0.783 * [taylor]: Taking taylor expansion of 0 in y 0.783 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.783 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.783 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.783 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.784 * [taylor]: Taking taylor expansion of 1/3 in y 0.784 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.784 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.784 * [taylor]: Taking taylor expansion of x in y 0.784 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.784 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.784 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.784 * [taylor]: Taking taylor expansion of 1/3 in x 0.784 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.784 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.784 * [taylor]: Taking taylor expansion of y in x 0.785 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.785 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.786 * [taylor]: Taking taylor expansion of 1/3 in x 0.786 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.786 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.786 * [taylor]: Taking taylor expansion of y in x 0.787 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.787 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.787 * [taylor]: Taking taylor expansion of 1/3 in y 0.787 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.787 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.787 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.787 * [taylor]: Taking taylor expansion of (log x) in y 0.787 * [taylor]: Taking taylor expansion of x in y 0.791 * [taylor]: Taking taylor expansion of 0 in y 0.797 * [taylor]: Taking taylor expansion of 0 in y 0.807 * [taylor]: Taking taylor expansion of 0 in y 0.807 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.807 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.807 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.807 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.807 * [taylor]: Taking taylor expansion of 1/3 in y 0.807 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.807 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of x in y 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.808 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.808 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.808 * [taylor]: Taking taylor expansion of 1/3 in x 0.808 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.808 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.808 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.808 * [taylor]: Taking taylor expansion of y in x 0.809 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.809 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.809 * [taylor]: Taking taylor expansion of 1/3 in x 0.809 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.809 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.811 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.811 * [taylor]: Taking taylor expansion of 1/3 in y 0.811 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.811 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.811 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.811 * [taylor]: Taking taylor expansion of y in y 0.811 * [taylor]: Taking taylor expansion of (log x) in y 0.811 * [taylor]: Taking taylor expansion of x in y 0.815 * [taylor]: Taking taylor expansion of 0 in y 0.822 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.833 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.833 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.833 * [taylor]: Taking taylor expansion of -1 in y 0.834 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.834 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.834 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.834 * [taylor]: Taking taylor expansion of 1/3 in y 0.834 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.834 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.834 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.834 * [taylor]: Taking taylor expansion of x in y 0.834 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.835 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.835 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.835 * [taylor]: Taking taylor expansion of -1 in x 0.836 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.836 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.836 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.836 * [taylor]: Taking taylor expansion of 1/3 in x 0.836 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.836 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.836 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.836 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.837 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.837 * [taylor]: Taking taylor expansion of -1 in x 0.841 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.841 * [taylor]: Taking taylor expansion of 1/3 in x 0.841 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.841 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.841 * [taylor]: Taking taylor expansion of y in x 0.843 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.843 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.843 * [taylor]: Taking taylor expansion of -1 in y 0.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.844 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.844 * [taylor]: Taking taylor expansion of 1/3 in y 0.844 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.844 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.844 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.844 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.844 * [taylor]: Taking taylor expansion of y in y 0.845 * [taylor]: Taking taylor expansion of (log x) in y 0.845 * [taylor]: Taking taylor expansion of x in y 0.849 * [taylor]: Taking taylor expansion of 0 in y 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.872 * [taylor]: Taking taylor expansion of 0 in y 0.873 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.873 * [approximate]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in (x y) around 0 0.873 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in y 0.873 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in y 0.873 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in y 0.873 * [taylor]: Taking taylor expansion of 1/3 in y 0.873 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in y 0.873 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.873 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.873 * [taylor]: Taking taylor expansion of x in y 0.873 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in x 0.874 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in x 0.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in x 0.875 * [taylor]: Taking taylor expansion of 1/3 in x 0.875 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in x 0.875 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.875 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.875 * [taylor]: Taking taylor expansion of y in x 0.876 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in x 0.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in x 0.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in x 0.876 * [taylor]: Taking taylor expansion of 1/3 in x 0.876 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in x 0.876 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (pow y 4))))) in y 0.877 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (pow y 4)))) in y 0.877 * [taylor]: Taking taylor expansion of 1/3 in y 0.877 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (pow y 4))) in y 0.877 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.877 * [taylor]: Taking taylor expansion of 2 in y 0.877 * [taylor]: Taking taylor expansion of (log x) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of (log (pow y 4)) in y 0.877 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.881 * [taylor]: Taking taylor expansion of 0 in y 0.888 * [taylor]: Taking taylor expansion of 0 in y 0.900 * [taylor]: Taking taylor expansion of 0 in y 0.900 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in (x y) around 0 0.900 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in y 0.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in y 0.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in y 0.901 * [taylor]: Taking taylor expansion of 1/3 in y 0.901 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in y 0.901 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.901 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.901 * [taylor]: Taking taylor expansion of x in y 0.901 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.902 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.902 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.902 * [taylor]: Taking taylor expansion of 1/3 in x 0.902 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.902 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.902 * [taylor]: Taking taylor expansion of y in x 0.903 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.903 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.903 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.903 * [taylor]: Taking taylor expansion of 1/3 in x 0.903 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.903 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.905 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x))))) in y 0.905 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))) in y 0.905 * [taylor]: Taking taylor expansion of 1/3 in y 0.905 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 4))) (* 2 (log x))) in y 0.905 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.905 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.906 * [taylor]: Taking taylor expansion of 2 in y 0.906 * [taylor]: Taking taylor expansion of (log x) in y 0.906 * [taylor]: Taking taylor expansion of x in y 0.909 * [taylor]: Taking taylor expansion of 0 in y 0.918 * [taylor]: Taking taylor expansion of 0 in y 0.933 * [taylor]: Taking taylor expansion of 0 in y 0.934 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in (x y) around 0 0.934 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in y 0.934 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.934 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.934 * [taylor]: Taking taylor expansion of -1 in y 0.935 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in y 0.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in y 0.935 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in y 0.935 * [taylor]: Taking taylor expansion of 1/3 in y 0.935 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in y 0.935 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in y 0.935 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.935 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.935 * [taylor]: Taking taylor expansion of x in y 0.935 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.935 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in x 0.936 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.936 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.936 * [taylor]: Taking taylor expansion of -1 in x 0.937 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.937 * [taylor]: Taking taylor expansion of 1/3 in x 0.937 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.937 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.938 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in x 0.938 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.938 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.938 * [taylor]: Taking taylor expansion of -1 in x 0.939 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.939 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.939 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.939 * [taylor]: Taking taylor expansion of 1/3 in x 0.939 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.939 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.942 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))))) in y 0.942 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.942 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.942 * [taylor]: Taking taylor expansion of -1 in y 0.943 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x))))) in y 0.943 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))) in y 0.943 * [taylor]: Taking taylor expansion of 1/3 in y 0.943 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 4))) (* 2 (log x))) in y 0.943 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.943 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.944 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.944 * [taylor]: Taking taylor expansion of 2 in y 0.944 * [taylor]: Taking taylor expansion of (log x) in y 0.944 * [taylor]: Taking taylor expansion of x in y 0.951 * [taylor]: Taking taylor expansion of 0 in y 0.962 * [taylor]: Taking taylor expansion of 0 in y 0.979 * [taylor]: Taking taylor expansion of 0 in y 0.979 * * * [progress]: simplifying candidates 0.980 * [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))))))) 0.985 * * [simplify]: iteration 0 : 209 enodes (cost 467 ) 0.989 * * [simplify]: iteration 1 : 684 enodes (cost 410 ) 1.004 * * [simplify]: iteration 2 : 3048 enodes (cost 353 ) 1.066 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 1.068 * [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)) 1.069 * * * [progress]: adding candidates to table 1.245 * [progress]: [Phase 3 of 3] Extracting. 1.245 * * [regime]: Finding splitpoints for: (# # # # # #) 1.246 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 1.246 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.263 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.276 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.294 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.316 * * * [regime]: Found split indices: #