2.568 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (* x (- 1.0 (* x y))) 0.016 * [simplify]: Sending expressions to egg_math: (* h0 (- h1 (* h0 h2))) 0.018 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.021 * * [simplify]: iteration 2 : 38 enodes (cost 3 ) 0.022 * * [simplify]: iteration 3 : 47 enodes (cost 3 ) 0.024 * * [simplify]: iteration 4 : 47 enodes (cost 3 ) 0.024 * [simplify]: Simplified to: (* x (- 1.0 (* x y))) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.049 * * * [progress]: generating series expansions 0.049 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.049 * [approximate]: Taking taylor expansion of (* x (- 1.0 (* x y))) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in y 0.049 * [taylor]: Taking taylor expansion of 1.0 in y 0.049 * [taylor]: Taking taylor expansion of (* x y) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of (* x y) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of (* x y) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 1.0 in y 0.052 * [taylor]: Taking taylor expansion of (- y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in y 0.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.057 * [taylor]: Taking taylor expansion of 1.0 in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.057 * [taylor]: Taking taylor expansion of (* x y) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in x 0.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.058 * [taylor]: Taking taylor expansion of (* x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in x 0.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.058 * [taylor]: Taking taylor expansion of (* x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.059 * [taylor]: Taking taylor expansion of -1 in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of 1.0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in y 0.070 * [taylor]: Taking taylor expansion of -1 in y 0.070 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in y 0.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.070 * [taylor]: Taking taylor expansion of 1.0 in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.070 * [taylor]: Taking taylor expansion of (* x y) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in x 0.071 * [taylor]: Taking taylor expansion of -1 in x 0.071 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in x 0.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.071 * [taylor]: Taking taylor expansion of (* x y) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in x 0.071 * [taylor]: Taking taylor expansion of -1 in x 0.071 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in x 0.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.071 * [taylor]: Taking taylor expansion of (* x y) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (- 1.0) in y 0.074 * [taylor]: Taking taylor expansion of 1.0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * * * [progress]: simplifying candidates 0.090 * [simplify]: Simplifying using # : (* x (- 1.0 (* x y))) (+ (log x) (log (- 1.0 (* x y)))) (log (* x (- 1.0 (* x y)))) (exp (* x (- 1.0 (* x y)))) (* (* (* x x) x) (* (* (- 1.0 (* x y)) (- 1.0 (* x y))) (- 1.0 (* x y)))) (* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y))))) (cbrt (* x (- 1.0 (* x y)))) (* (* (* x (- 1.0 (* x y))) (* x (- 1.0 (* x y)))) (* x (- 1.0 (* x y)))) (sqrt (* x (- 1.0 (* x y)))) (sqrt (* x (- 1.0 (* x y)))) (* (sqrt x) (sqrt (- 1.0 (* x y)))) (* (sqrt x) (sqrt (- 1.0 (* x y)))) (* x 1.0) (* x (- (* x y))) (* x 1.0) (* x (- (* x y))) (* 1.0 x) (* (- (* x y)) x) (* 1.0 x) (* (- (* x y)) x) (* x (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))) (* x (sqrt (- 1.0 (* x y)))) (* x 1) (* (cbrt x) (- 1.0 (* x y))) (* (sqrt x) (- 1.0 (* x y))) (* x (- 1.0 (* x y))) (* x (- (pow 1.0 3) (pow (* x y) 3))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (- (* 1.0 x) (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) 0.090 * [simplify]: Sending expressions to egg_math: (* h0 (- h1 (* h0 h2))) (+ (log h0) (log (- h1 (* h0 h2)))) (log (* h0 (- h1 (* h0 h2)))) (exp (* h0 (- h1 (* h0 h2)))) (* (* (* h0 h0) h0) (* (* (- h1 (* h0 h2)) (- h1 (* h0 h2))) (- h1 (* h0 h2)))) (* (cbrt (* h0 (- h1 (* h0 h2)))) (cbrt (* h0 (- h1 (* h0 h2))))) (cbrt (* h0 (- h1 (* h0 h2)))) (* (* (* h0 (- h1 (* h0 h2))) (* h0 (- h1 (* h0 h2)))) (* h0 (- h1 (* h0 h2)))) (sqrt (* h0 (- h1 (* h0 h2)))) (sqrt (* h0 (- h1 (* h0 h2)))) (* (sqrt h0) (sqrt (- h1 (* h0 h2)))) (* (sqrt h0) (sqrt (- h1 (* h0 h2)))) (* h0 h1) (* h0 (- (* h0 h2))) (* h0 h1) (* h0 (- (* h0 h2))) (* h1 h0) (* (- (* h0 h2)) h0) (* h1 h0) (* (- (* h0 h2)) h0) (* h0 (* (cbrt (- h1 (* h0 h2))) (cbrt (- h1 (* h0 h2))))) (* h0 (sqrt (- h1 (* h0 h2)))) (* h0 1) (* (cbrt h0) (- h1 (* h0 h2))) (* (sqrt h0) (- h1 (* h0 h2))) (* h0 (- h1 (* h0 h2))) (* h0 (- (pow h1 3) (pow (* h0 h2) 3))) (* h0 (- (* h1 h1) (* (* h0 h2) (* h0 h2)))) (- (* h1 h0) (* (pow h0 2) h2)) (- (* h1 h0) (* (pow h0 2) h2)) (- (* h1 h0) (* (pow h0 2) h2)) 0.093 * * [simplify]: iteration 0 : 122 enodes (cost 130 ) 0.096 * * [simplify]: iteration 1 : 534 enodes (cost 113 ) 0.109 * * [simplify]: iteration 2 : 2890 enodes (cost 113 ) 0.176 * * [simplify]: iteration 3 : 5002 enodes (cost 113 ) 0.177 * [simplify]: Simplified to: (* x (- 1.0 (* x y))) (log (* x (- 1.0 (* x y)))) (log (* x (- 1.0 (* x y)))) (exp (* x (- 1.0 (* x y)))) (pow (* x (- 1.0 (* x y))) 3) (* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y))))) (cbrt (* x (- 1.0 (* x y)))) (pow (* x (- 1.0 (* x y))) 3) (sqrt (* x (- 1.0 (* x y)))) (sqrt (* x (- 1.0 (* x y)))) (* (sqrt (- 1.0 (* x y))) (pow x 1/2)) (* (sqrt (- 1.0 (* x y))) (pow x 1/2)) (* x 1.0) (* x (- (* x y))) (* x 1.0) (* x (- (* x y))) (* x 1.0) (* x (- (* x y))) (* x 1.0) (* x (- (* x y))) (* x (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))) (* x (sqrt (- 1.0 (* x y)))) x (* (cbrt x) (- 1.0 (* x y))) (* (sqrt x) (- 1.0 (* x y))) (* x (- 1.0 (* x y))) (* x (- (pow 1.0 3) (pow (* x y) 3))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- 1.0 (* x y))) (* x (- 1.0 (* x y))) (* x (- 1.0 (* x y))) 0.177 * * * [progress]: adding candidates to table 0.213 * * [progress]: iteration 2 / 4 0.213 * * * [progress]: picking best candidate 0.229 * * * * [pick]: Picked # 0.230 * * * [progress]: localizing error 0.236 * * * [progress]: generating rewritten candidates 0.236 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.249 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.259 * * * [progress]: generating series expansions 0.259 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.259 * [approximate]: Taking taylor expansion of (* -1 (* (pow x 2) y)) in (x y) around 0 0.259 * [taylor]: Taking taylor expansion of (* -1 (* (pow x 2) y)) in y 0.259 * [taylor]: Taking taylor expansion of -1 in y 0.259 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (* -1 (* (pow x 2) y)) in x 0.259 * [taylor]: Taking taylor expansion of -1 in x 0.259 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (* -1 (* (pow x 2) y)) in x 0.260 * [taylor]: Taking taylor expansion of -1 in x 0.260 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.260 * [taylor]: Taking taylor expansion of -1 in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x 2) y)) in (x y) around 0 0.266 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x 2) y)) in y 0.266 * [taylor]: Taking taylor expansion of -1 in y 0.266 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x 2) y)) in x 0.266 * [taylor]: Taking taylor expansion of -1 in x 0.266 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x 2) y)) in x 0.267 * [taylor]: Taking taylor expansion of -1 in x 0.267 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.267 * [taylor]: Taking taylor expansion of -1 in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in (x y) around 0 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in y 0.272 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 0.273 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 0.273 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.278 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.279 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* (pow x 2) y)) in (x y) around 0 0.279 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* (pow x 2) y)) in y 0.279 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.279 * [taylor]: Taking taylor expansion of 1.0 in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* (pow x 2) y)) in x 0.279 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* (pow x 2) y)) in x 0.279 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [taylor]: Taking taylor expansion of 1.0 in y 0.281 * [taylor]: Taking taylor expansion of (- y) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* (pow x 2) y))) in (x y) around 0 0.286 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* (pow x 2) y))) in y 0.286 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.286 * [taylor]: Taking taylor expansion of 1.0 in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in y 0.286 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* (pow x 2) y))) in x 0.287 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 0.287 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* (pow x 2) y))) in x 0.287 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 0.288 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of 1.0 in y 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) y)) (* 1.0 (/ 1 x))) in (x y) around 0 0.303 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) y)) (* 1.0 (/ 1 x))) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in y 0.303 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.304 * [taylor]: Taking taylor expansion of 1.0 in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) y)) (* 1.0 (/ 1 x))) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 0.304 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) y)) (* 1.0 (/ 1 x))) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 0.305 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (- 1.0) in y 0.308 * [taylor]: Taking taylor expansion of 1.0 in y 0.310 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.318 * * * [progress]: simplifying candidates 0.319 * [simplify]: Simplifying using # : (* x (- (* x y))) (+ (log x) (log (- (* x y)))) (log (* x (- (* x y)))) (exp (* x (- (* x y)))) (* (* (* x x) x) (* (* (- (* x y)) (- (* x y))) (- (* x y)))) (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y))))) (cbrt (* x (- (* x y)))) (* (* (* x (- (* x y))) (* x (- (* x y)))) (* x (- (* x y)))) (sqrt (* x (- (* x y)))) (sqrt (* x (- (* x y)))) (* (sqrt x) (sqrt (- (* x y)))) (* (sqrt x) (sqrt (- (* x y)))) (* x (* x y)) (* x (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (* x (sqrt (- (* x y)))) (* x 1) (* x -1) (* x (- x)) (* x x) (* (cbrt x) (- (* x y))) (* (sqrt x) (- (* x y))) (* x (- (* x y))) (* (exp (* x 1.0)) (exp (* x (- (* x y))))) (log (+ (* x 1.0) (* x (- (* x y))))) (exp (+ (* x 1.0) (* x (- (* x y))))) (* (cbrt (+ (* x 1.0) (* x (- (* x y))))) (cbrt (+ (* x 1.0) (* x (- (* x y)))))) (cbrt (+ (* x 1.0) (* x (- (* x y))))) (* (* (+ (* x 1.0) (* x (- (* x y)))) (+ (* x 1.0) (* x (- (* x y))))) (+ (* x 1.0) (* x (- (* x y))))) (sqrt (+ (* x 1.0) (* x (- (* x y))))) (sqrt (+ (* x 1.0) (* x (- (* x y))))) (+ (pow (* x 1.0) 3) (pow (* x (- (* x y))) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* x (- (* x y))) (* x (- (* x y)))) (* (* x 1.0) (* x (- (* x y)))))) (- (* (* x 1.0) (* x 1.0)) (* (* x (- (* x y))) (* x (- (* x y))))) (- (* x 1.0) (* x (- (* x y)))) (+ 1.0 (- (* x y))) (* -1 (* (pow x 2) y)) (* -1 (* (pow x 2) y)) (* -1 (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) 0.319 * [simplify]: Sending expressions to egg_math: (* h0 (- (* h0 h1))) (+ (log h0) (log (- (* h0 h1)))) (log (* h0 (- (* h0 h1)))) (exp (* h0 (- (* h0 h1)))) (* (* (* h0 h0) h0) (* (* (- (* h0 h1)) (- (* h0 h1))) (- (* h0 h1)))) (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1))))) (cbrt (* h0 (- (* h0 h1)))) (* (* (* h0 (- (* h0 h1))) (* h0 (- (* h0 h1)))) (* h0 (- (* h0 h1)))) (sqrt (* h0 (- (* h0 h1)))) (sqrt (* h0 (- (* h0 h1)))) (* (sqrt h0) (sqrt (- (* h0 h1)))) (* (sqrt h0) (sqrt (- (* h0 h1)))) (* h0 (* h0 h1)) (* h0 (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1))))) (* h0 (sqrt (- (* h0 h1)))) (* h0 1) (* h0 -1) (* h0 (- h0)) (* h0 h0) (* (cbrt h0) (- (* h0 h1))) (* (sqrt h0) (- (* h0 h1))) (* h0 (- (* h0 h1))) (* (exp (* h0 h2)) (exp (* h0 (- (* h0 h1))))) (log (+ (* h0 h2) (* h0 (- (* h0 h1))))) (exp (+ (* h0 h2) (* h0 (- (* h0 h1))))) (* (cbrt (+ (* h0 h2) (* h0 (- (* h0 h1))))) (cbrt (+ (* h0 h2) (* h0 (- (* h0 h1)))))) (cbrt (+ (* h0 h2) (* h0 (- (* h0 h1))))) (* (* (+ (* h0 h2) (* h0 (- (* h0 h1)))) (+ (* h0 h2) (* h0 (- (* h0 h1))))) (+ (* h0 h2) (* h0 (- (* h0 h1))))) (sqrt (+ (* h0 h2) (* h0 (- (* h0 h1))))) (sqrt (+ (* h0 h2) (* h0 (- (* h0 h1))))) (+ (pow (* h0 h2) 3) (pow (* h0 (- (* h0 h1))) 3)) (+ (* (* h0 h2) (* h0 h2)) (- (* (* h0 (- (* h0 h1))) (* h0 (- (* h0 h1)))) (* (* h0 h2) (* h0 (- (* h0 h1)))))) (- (* (* h0 h2) (* h0 h2)) (* (* h0 (- (* h0 h1))) (* h0 (- (* h0 h1))))) (- (* h0 h2) (* h0 (- (* h0 h1)))) (+ h2 (- (* h0 h1))) (* -1 (* (pow h0 2) h1)) (* -1 (* (pow h0 2) h1)) (* -1 (* (pow h0 2) h1)) (- (* h2 h0) (* (pow h0 2) h1)) (- (* h2 h0) (* (pow h0 2) h1)) (- (* h2 h0) (* (pow h0 2) h1)) 0.323 * * [simplify]: iteration 0 : 181 enodes (cost 210 ) 0.328 * * [simplify]: iteration 1 : 1035 enodes (cost 183 ) 0.363 * * [simplify]: iteration 2 : 5001 enodes (cost 179 ) 0.364 * [simplify]: Simplified to: (* -1 (* (pow x 2) y)) (log (* x (- (* x y)))) (log (* x (- (* x y)))) (exp (* x (- (* x y)))) (pow (* x (- (* x y))) 3) (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y))))) (cbrt (* x (- (* x y)))) (pow (* x (- (* x y))) 3) (sqrt (* x (- (* x y)))) (sqrt (* x (- (* x y)))) (* (sqrt (- (* x y))) (pow x 1/2)) (* (sqrt (- (* x y))) (pow x 1/2)) (* x (* x y)) (* x (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (* x (sqrt (- (* x y)))) x (* x -1) (* x (- x)) (pow x 2) (* (cbrt x) (- (* x y))) (* (sqrt x) (- (* x y))) (* -1 (* (pow x 2) y)) (pow (exp x) (- 1.0 (* x y))) (+ (log x) (log (- 1.0 (* x y)))) (pow (exp x) (- 1.0 (* x y))) (* (cbrt (+ (* x 1.0) (* x (- (* x y))))) (cbrt (+ (* x 1.0) (* x (- (* x y)))))) (cbrt (+ (* x 1.0) (* x (- (* x y))))) (pow (* x (- 1.0 (* x y))) 3) (sqrt (+ (* x 1.0) (* x (- (* x y))))) (sqrt (+ (* x 1.0) (* x (- (* x y))))) (+ (pow (* x 1.0) 3) (pow (* x (- (* x y))) 3)) (* x (+ (* 1.0 (* x 1.0)) (* (- (* x y)) (* x (- (- (* x y)) 1.0))))) (* (pow x 2) (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (+ 1.0 (* x y))) (- 1.0 (* x y)) (* -1 (* (pow x 2) y)) (* -1 (* (pow x 2) y)) (* -1 (* (pow x 2) y)) (* x (- 1.0 (* x y))) (* x (- 1.0 (* x y))) (* x (- 1.0 (* x y))) 0.364 * * * [progress]: adding candidates to table 0.447 * * [progress]: iteration 3 / 4 0.447 * * * [progress]: picking best candidate 0.454 * * * * [pick]: Picked # 0.454 * * * [progress]: localizing error 0.469 * * * [progress]: generating rewritten candidates 0.469 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.470 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.471 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.472 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.486 * * * [progress]: generating series expansions 0.486 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.486 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.486 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.486 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.486 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.486 * [taylor]: Taking taylor expansion of 1/3 in x 0.487 * [taylor]: Taking taylor expansion of (log x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.487 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.488 * [taylor]: Taking taylor expansion of 1/3 in x 0.488 * [taylor]: Taking taylor expansion of (log x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.540 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.540 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.540 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.540 * [taylor]: Taking taylor expansion of 1/3 in x 0.540 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.541 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.541 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.541 * [taylor]: Taking taylor expansion of 1/3 in x 0.541 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.592 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.592 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.592 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.592 * [taylor]: Taking taylor expansion of -1 in x 0.592 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.593 * [taylor]: Taking taylor expansion of 1/3 in x 0.593 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.593 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.593 * [taylor]: Taking taylor expansion of -1 in x 0.594 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.594 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.594 * [taylor]: Taking taylor expansion of 1/3 in x 0.594 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.661 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.661 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.661 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.661 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.661 * [taylor]: Taking taylor expansion of 1/3 in x 0.661 * [taylor]: Taking taylor expansion of (log x) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.662 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.662 * [taylor]: Taking taylor expansion of 1/3 in x 0.662 * [taylor]: Taking taylor expansion of (log x) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.714 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.714 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.714 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.714 * [taylor]: Taking taylor expansion of 1/3 in x 0.714 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.715 * [taylor]: Taking taylor expansion of 1/3 in x 0.715 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.765 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.765 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.765 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.765 * [taylor]: Taking taylor expansion of -1 in x 0.766 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.766 * [taylor]: Taking taylor expansion of 1/3 in x 0.766 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.767 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.767 * [taylor]: Taking taylor expansion of -1 in x 0.767 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.767 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.767 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.767 * [taylor]: Taking taylor expansion of 1/3 in x 0.767 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.834 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.834 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.834 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.834 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.834 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.834 * [taylor]: Taking taylor expansion of 1/3 in x 0.834 * [taylor]: Taking taylor expansion of (log x) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.835 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.835 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.835 * [taylor]: Taking taylor expansion of 1/3 in x 0.835 * [taylor]: Taking taylor expansion of (log x) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.887 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.887 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.887 * [taylor]: Taking taylor expansion of 1/3 in x 0.887 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.888 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.888 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.888 * [taylor]: Taking taylor expansion of 1/3 in x 0.888 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.944 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.944 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.944 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.944 * [taylor]: Taking taylor expansion of -1 in x 0.944 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.944 * [taylor]: Taking taylor expansion of 1/3 in x 0.944 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) 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 x) 1/3) in x 0.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.946 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.946 * [taylor]: Taking taylor expansion of 1/3 in x 0.946 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 1.012 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.012 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 1.012 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.012 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.013 * [taylor]: Taking taylor expansion of 1/3 in x 1.013 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.014 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.014 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.014 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.014 * [taylor]: Taking taylor expansion of 1/3 in x 1.014 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.014 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.064 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 1.064 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.064 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.064 * [taylor]: Taking taylor expansion of 1/3 in x 1.064 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.065 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.065 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.065 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.065 * [taylor]: Taking taylor expansion of 1/3 in x 1.065 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.126 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 1.126 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.126 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.126 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.126 * [taylor]: Taking taylor expansion of -1 in x 1.127 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.127 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.127 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.127 * [taylor]: Taking taylor expansion of 1/3 in x 1.127 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.129 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.129 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.129 * [taylor]: Taking taylor expansion of -1 in x 1.130 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.131 * [taylor]: Taking taylor expansion of 1/3 in x 1.131 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.219 * * * [progress]: simplifying candidates 1.220 * [simplify]: Simplifying using # : (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 1.220 * [simplify]: Sending expressions to egg_math: (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (+ 1/3 1/3) (+ 1 1) (* h0 h0) (* (cbrt h0) (cbrt h0)) (+ 1 1) (+ (log (cbrt h0)) (log (cbrt h0))) (log (* (cbrt h0) (cbrt h0))) (exp (* (cbrt h0) (cbrt h0))) (* h0 h0) (* (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (* (cbrt h0) (cbrt h0)))) (cbrt (* (cbrt h0) (cbrt h0))) (* (* (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (cbrt h0))) (* (cbrt h0) (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (* (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (* (cbrt h0) (cbrt h0)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt 1) (cbrt 1)) (* (cbrt h0) (cbrt h0)) (* (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* 1 1) (* (cbrt h0) (cbrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (sqrt (cbrt h0))) (* (cbrt (sqrt h0)) (sqrt (cbrt h0))) (* (sqrt (cbrt h0)) (cbrt (sqrt h0))) (* (sqrt (cbrt h0)) (cbrt (sqrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* 2 1/3) (* 2 1) (* (cbrt h0) (cbrt (* (cbrt h0) (cbrt h0)))) (* (cbrt h0) (cbrt (sqrt h0))) (* (cbrt h0) (cbrt 1)) (* (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))) (* (cbrt h0) (sqrt (cbrt h0))) (* (cbrt h0) 1) (* (cbrt (cbrt h0)) (cbrt h0)) (* (cbrt (sqrt h0)) (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt (cbrt h0)) (cbrt h0)) (* (sqrt (cbrt h0)) (cbrt h0)) (* (cbrt h0) (cbrt h0)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 2/3) (pow (/ 1 h0) -2/3) (* (pow (cbrt -1) 2) (pow (pow h0 2) 1/3)) 1.224 * * [simplify]: iteration 0 : 115 enodes (cost 288 ) 1.227 * * [simplify]: iteration 1 : 472 enodes (cost 261 ) 1.240 * * [simplify]: iteration 2 : 2959 enodes (cost 238 ) 1.304 * * [simplify]: iteration 3 : 5003 enodes (cost 235 ) 1.306 * [simplify]: Simplified to: (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 1.306 * * * [progress]: adding candidates to table 1.523 * * [progress]: iteration 4 / 4 1.523 * * * [progress]: picking best candidate 1.532 * * * * [pick]: Picked # 1.532 * * * [progress]: localizing error 1.543 * * * [progress]: generating rewritten candidates 1.543 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.549 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.555 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.561 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.593 * * * [progress]: generating series expansions 1.594 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.594 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* (pow x 2) y) 1/3)) in (x y) around 0 1.594 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* (pow x 2) y) 1/3)) in y 1.594 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.594 * [taylor]: Taking taylor expansion of -1 in y 1.595 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) y) 1/3) in y 1.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) y)))) in y 1.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) y))) in y 1.595 * [taylor]: Taking taylor expansion of 1/3 in y 1.595 * [taylor]: Taking taylor expansion of (log (* (pow x 2) y)) in y 1.595 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 1.595 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.595 * [taylor]: Taking taylor expansion of x in y 1.595 * [taylor]: Taking taylor expansion of y in y 1.596 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* (pow x 2) y) 1/3)) in x 1.596 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.596 * [taylor]: Taking taylor expansion of -1 in x 1.597 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) y) 1/3) in x 1.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) y)))) in x 1.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) y))) in x 1.597 * [taylor]: Taking taylor expansion of 1/3 in x 1.597 * [taylor]: Taking taylor expansion of (log (* (pow x 2) y)) in x 1.597 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of y in x 1.597 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* (pow x 2) y) 1/3)) in x 1.598 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.598 * [taylor]: Taking taylor expansion of -1 in x 1.598 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) y) 1/3) in x 1.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) y)))) in x 1.598 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) y))) in x 1.598 * [taylor]: Taking taylor expansion of 1/3 in x 1.598 * [taylor]: Taking taylor expansion of (log (* (pow x 2) y)) in x 1.598 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.598 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.598 * [taylor]: Taking taylor expansion of y in x 1.599 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (+ (* 2 (log x)) (log y))))) in y 1.599 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.599 * [taylor]: Taking taylor expansion of -1 in y 1.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log y)))) in y 1.600 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log y))) in y 1.600 * [taylor]: Taking taylor expansion of 1/3 in y 1.600 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log y)) in y 1.600 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.600 * [taylor]: Taking taylor expansion of 2 in y 1.600 * [taylor]: Taking taylor expansion of (log x) in y 1.600 * [taylor]: Taking taylor expansion of x in y 1.600 * [taylor]: Taking taylor expansion of (log y) in y 1.600 * [taylor]: Taking taylor expansion of y in y 1.604 * [taylor]: Taking taylor expansion of 0 in y 1.612 * [taylor]: Taking taylor expansion of 0 in y 1.624 * [taylor]: Taking taylor expansion of 0 in y 1.624 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (pow x 2) y)) 1/3)) in (x y) around 0 1.624 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (pow x 2) y)) 1/3)) in y 1.624 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.624 * [taylor]: Taking taylor expansion of -1 in y 1.625 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in y 1.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in y 1.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in y 1.625 * [taylor]: Taking taylor expansion of 1/3 in y 1.625 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in y 1.625 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in y 1.625 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 1.625 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.625 * [taylor]: Taking taylor expansion of x in y 1.625 * [taylor]: Taking taylor expansion of y in y 1.626 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (pow x 2) y)) 1/3)) in x 1.626 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.626 * [taylor]: Taking taylor expansion of -1 in x 1.627 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in x 1.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in x 1.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in x 1.627 * [taylor]: Taking taylor expansion of 1/3 in x 1.627 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in x 1.627 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 1.627 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of y in x 1.628 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (pow x 2) y)) 1/3)) in x 1.628 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.628 * [taylor]: Taking taylor expansion of -1 in x 1.628 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in x 1.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in x 1.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in x 1.629 * [taylor]: Taking taylor expansion of 1/3 in x 1.629 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in x 1.629 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 1.629 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.629 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.629 * [taylor]: Taking taylor expansion of x in x 1.629 * [taylor]: Taking taylor expansion of y in x 1.630 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 y)) (* 2 (log x)))))) in y 1.630 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.630 * [taylor]: Taking taylor expansion of -1 in y 1.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (* 2 (log x))))) in y 1.630 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (* 2 (log x)))) in y 1.630 * [taylor]: Taking taylor expansion of 1/3 in y 1.630 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (* 2 (log x))) in y 1.630 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.631 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.631 * [taylor]: Taking taylor expansion of y in y 1.631 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.631 * [taylor]: Taking taylor expansion of 2 in y 1.631 * [taylor]: Taking taylor expansion of (log x) in y 1.631 * [taylor]: Taking taylor expansion of x in y 1.635 * [taylor]: Taking taylor expansion of 0 in y 1.643 * [taylor]: Taking taylor expansion of 0 in y 1.655 * [taylor]: Taking taylor expansion of 0 in y 1.656 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in (x y) around 0 1.656 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in y 1.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in y 1.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in y 1.656 * [taylor]: Taking taylor expansion of 1/3 in y 1.656 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in y 1.656 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in y 1.656 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 1.656 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.656 * [taylor]: Taking taylor expansion of x in y 1.656 * [taylor]: Taking taylor expansion of y in y 1.657 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in x 1.657 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in x 1.658 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in x 1.658 * [taylor]: Taking taylor expansion of 1/3 in x 1.658 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 1.658 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.658 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.658 * [taylor]: Taking taylor expansion of y in x 1.658 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in x 1.658 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in x 1.658 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in x 1.658 * [taylor]: Taking taylor expansion of 1/3 in x 1.658 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 1.658 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.658 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of y in x 1.659 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (* 2 (log x))))) in y 1.659 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (* 2 (log x)))) in y 1.659 * [taylor]: Taking taylor expansion of 1/3 in y 1.659 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (* 2 (log x))) in y 1.659 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.659 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.659 * [taylor]: Taking taylor expansion of y in y 1.660 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.660 * [taylor]: Taking taylor expansion of 2 in y 1.660 * [taylor]: Taking taylor expansion of (log x) in y 1.660 * [taylor]: Taking taylor expansion of x in y 1.668 * [taylor]: Taking taylor expansion of 0 in y 1.674 * [taylor]: Taking taylor expansion of 0 in y 1.684 * [taylor]: Taking taylor expansion of 0 in y 1.684 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.684 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* (pow x 2) y) 1/3)) in (x y) around 0 1.684 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* (pow x 2) y) 1/3)) in y 1.684 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.684 * [taylor]: Taking taylor expansion of -1 in y 1.685 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) y) 1/3) in y 1.685 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) y)))) in y 1.685 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) y))) in y 1.685 * [taylor]: Taking taylor expansion of 1/3 in y 1.685 * [taylor]: Taking taylor expansion of (log (* (pow x 2) y)) in y 1.685 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 1.685 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.685 * [taylor]: Taking taylor expansion of x in y 1.685 * [taylor]: Taking taylor expansion of y in y 1.686 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* (pow x 2) y) 1/3)) in x 1.686 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.686 * [taylor]: Taking taylor expansion of -1 in x 1.687 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) y) 1/3) in x 1.687 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) y)))) in x 1.687 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) y))) in x 1.687 * [taylor]: Taking taylor expansion of 1/3 in x 1.687 * [taylor]: Taking taylor expansion of (log (* (pow x 2) y)) in x 1.687 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.687 * [taylor]: Taking taylor expansion of x in x 1.687 * [taylor]: Taking taylor expansion of y in x 1.688 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* (pow x 2) y) 1/3)) in x 1.688 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.688 * [taylor]: Taking taylor expansion of -1 in x 1.688 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) y) 1/3) in x 1.688 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) y)))) in x 1.688 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) y))) in x 1.688 * [taylor]: Taking taylor expansion of 1/3 in x 1.688 * [taylor]: Taking taylor expansion of (log (* (pow x 2) y)) in x 1.688 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.689 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.689 * [taylor]: Taking taylor expansion of x in x 1.689 * [taylor]: Taking taylor expansion of y in x 1.690 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (+ (* 2 (log x)) (log y))))) in y 1.690 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.690 * [taylor]: Taking taylor expansion of -1 in y 1.690 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log y)))) in y 1.690 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log y))) in y 1.690 * [taylor]: Taking taylor expansion of 1/3 in y 1.690 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log y)) in y 1.691 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.691 * [taylor]: Taking taylor expansion of 2 in y 1.691 * [taylor]: Taking taylor expansion of (log x) in y 1.691 * [taylor]: Taking taylor expansion of x in y 1.691 * [taylor]: Taking taylor expansion of (log y) in y 1.691 * [taylor]: Taking taylor expansion of y in y 1.695 * [taylor]: Taking taylor expansion of 0 in y 1.703 * [taylor]: Taking taylor expansion of 0 in y 1.715 * [taylor]: Taking taylor expansion of 0 in y 1.715 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (pow x 2) y)) 1/3)) in (x y) around 0 1.715 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (pow x 2) y)) 1/3)) in y 1.715 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.715 * [taylor]: Taking taylor expansion of -1 in y 1.716 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in y 1.716 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in y 1.716 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in y 1.716 * [taylor]: Taking taylor expansion of 1/3 in y 1.716 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in y 1.716 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in y 1.716 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 1.716 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.716 * [taylor]: Taking taylor expansion of x in y 1.716 * [taylor]: Taking taylor expansion of y in y 1.717 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (pow x 2) y)) 1/3)) in x 1.717 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.717 * [taylor]: Taking taylor expansion of -1 in x 1.718 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in x 1.718 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in x 1.718 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in x 1.718 * [taylor]: Taking taylor expansion of 1/3 in x 1.718 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in x 1.718 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 1.718 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [taylor]: Taking taylor expansion of y in x 1.719 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (pow x 2) y)) 1/3)) in x 1.719 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.719 * [taylor]: Taking taylor expansion of -1 in x 1.720 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in x 1.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in x 1.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in x 1.720 * [taylor]: Taking taylor expansion of 1/3 in x 1.720 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in x 1.720 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 1.720 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.720 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.720 * [taylor]: Taking taylor expansion of y in x 1.721 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 y)) (* 2 (log x)))))) in y 1.721 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.721 * [taylor]: Taking taylor expansion of -1 in y 1.722 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (* 2 (log x))))) in y 1.722 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (* 2 (log x)))) in y 1.722 * [taylor]: Taking taylor expansion of 1/3 in y 1.722 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (* 2 (log x))) in y 1.722 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.722 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.722 * [taylor]: Taking taylor expansion of y in y 1.722 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.722 * [taylor]: Taking taylor expansion of 2 in y 1.722 * [taylor]: Taking taylor expansion of (log x) in y 1.722 * [taylor]: Taking taylor expansion of x in y 1.726 * [taylor]: Taking taylor expansion of 0 in y 1.734 * [taylor]: Taking taylor expansion of 0 in y 1.746 * [taylor]: Taking taylor expansion of 0 in y 1.747 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in (x y) around 0 1.747 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in y 1.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in y 1.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in y 1.747 * [taylor]: Taking taylor expansion of 1/3 in y 1.747 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in y 1.747 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in y 1.747 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 1.747 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.747 * [taylor]: Taking taylor expansion of x in y 1.747 * [taylor]: Taking taylor expansion of y in y 1.748 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in x 1.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in x 1.748 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in x 1.748 * [taylor]: Taking taylor expansion of 1/3 in x 1.748 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in x 1.749 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 1.749 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.749 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.749 * [taylor]: Taking taylor expansion of x in x 1.749 * [taylor]: Taking taylor expansion of y in x 1.749 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in x 1.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in x 1.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in x 1.749 * [taylor]: Taking taylor expansion of 1/3 in x 1.749 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in x 1.749 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 1.749 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.750 * [taylor]: Taking taylor expansion of y in x 1.750 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (* 2 (log x))))) in y 1.750 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (* 2 (log x)))) in y 1.750 * [taylor]: Taking taylor expansion of 1/3 in y 1.750 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (* 2 (log x))) in y 1.750 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.750 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.750 * [taylor]: Taking taylor expansion of y in y 1.751 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.751 * [taylor]: Taking taylor expansion of 2 in y 1.751 * [taylor]: Taking taylor expansion of (log x) in y 1.751 * [taylor]: Taking taylor expansion of x in y 1.760 * [taylor]: Taking taylor expansion of 0 in y 1.766 * [taylor]: Taking taylor expansion of 0 in y 1.776 * [taylor]: Taking taylor expansion of 0 in y 1.777 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.777 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* (pow x 2) y) 1/3)) in (x y) around 0 1.777 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* (pow x 2) y) 1/3)) in y 1.777 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.777 * [taylor]: Taking taylor expansion of -1 in y 1.777 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) y) 1/3) in y 1.777 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) y)))) in y 1.778 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) y))) in y 1.778 * [taylor]: Taking taylor expansion of 1/3 in y 1.778 * [taylor]: Taking taylor expansion of (log (* (pow x 2) y)) in y 1.778 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 1.778 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.778 * [taylor]: Taking taylor expansion of x in y 1.778 * [taylor]: Taking taylor expansion of y in y 1.779 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* (pow x 2) y) 1/3)) in x 1.779 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.779 * [taylor]: Taking taylor expansion of -1 in x 1.779 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) y) 1/3) in x 1.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) y)))) in x 1.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) y))) in x 1.779 * [taylor]: Taking taylor expansion of 1/3 in x 1.779 * [taylor]: Taking taylor expansion of (log (* (pow x 2) y)) in x 1.779 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.779 * [taylor]: Taking taylor expansion of y in x 1.780 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* (pow x 2) y) 1/3)) in x 1.780 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.780 * [taylor]: Taking taylor expansion of -1 in x 1.781 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) y) 1/3) in x 1.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) y)))) in x 1.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) y))) in x 1.781 * [taylor]: Taking taylor expansion of 1/3 in x 1.781 * [taylor]: Taking taylor expansion of (log (* (pow x 2) y)) in x 1.781 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.781 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.781 * [taylor]: Taking taylor expansion of x in x 1.781 * [taylor]: Taking taylor expansion of y in x 1.782 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (+ (* 2 (log x)) (log y))))) in y 1.782 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.782 * [taylor]: Taking taylor expansion of -1 in y 1.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log y)))) in y 1.783 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log y))) in y 1.783 * [taylor]: Taking taylor expansion of 1/3 in y 1.783 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log y)) in y 1.783 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.783 * [taylor]: Taking taylor expansion of 2 in y 1.783 * [taylor]: Taking taylor expansion of (log x) in y 1.783 * [taylor]: Taking taylor expansion of x in y 1.783 * [taylor]: Taking taylor expansion of (log y) in y 1.783 * [taylor]: Taking taylor expansion of y in y 1.787 * [taylor]: Taking taylor expansion of 0 in y 1.794 * [taylor]: Taking taylor expansion of 0 in y 1.805 * [taylor]: Taking taylor expansion of 0 in y 1.806 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (pow x 2) y)) 1/3)) in (x y) around 0 1.806 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (pow x 2) y)) 1/3)) in y 1.806 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.806 * [taylor]: Taking taylor expansion of -1 in y 1.807 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in y 1.807 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in y 1.807 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in y 1.807 * [taylor]: Taking taylor expansion of 1/3 in y 1.807 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in y 1.807 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in y 1.807 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 1.807 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.807 * [taylor]: Taking taylor expansion of x in y 1.807 * [taylor]: Taking taylor expansion of y in y 1.808 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (pow x 2) y)) 1/3)) in x 1.808 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.808 * [taylor]: Taking taylor expansion of -1 in x 1.809 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in x 1.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in x 1.809 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in x 1.809 * [taylor]: Taking taylor expansion of 1/3 in x 1.809 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in x 1.809 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 1.809 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.809 * [taylor]: Taking taylor expansion of y in x 1.810 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (pow x 2) y)) 1/3)) in x 1.810 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.810 * [taylor]: Taking taylor expansion of -1 in x 1.810 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in x 1.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in x 1.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in x 1.810 * [taylor]: Taking taylor expansion of 1/3 in x 1.810 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in x 1.810 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 1.810 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.810 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.810 * [taylor]: Taking taylor expansion of x in x 1.810 * [taylor]: Taking taylor expansion of y in x 1.812 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 y)) (* 2 (log x)))))) in y 1.812 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.812 * [taylor]: Taking taylor expansion of -1 in y 1.812 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (* 2 (log x))))) in y 1.812 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (* 2 (log x)))) in y 1.812 * [taylor]: Taking taylor expansion of 1/3 in y 1.812 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (* 2 (log x))) in y 1.812 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.812 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.812 * [taylor]: Taking taylor expansion of y in y 1.813 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.813 * [taylor]: Taking taylor expansion of 2 in y 1.813 * [taylor]: Taking taylor expansion of (log x) in y 1.813 * [taylor]: Taking taylor expansion of x in y 1.817 * [taylor]: Taking taylor expansion of 0 in y 1.825 * [taylor]: Taking taylor expansion of 0 in y 1.837 * [taylor]: Taking taylor expansion of 0 in y 1.838 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in (x y) around 0 1.838 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in y 1.838 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in y 1.838 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in y 1.838 * [taylor]: Taking taylor expansion of 1/3 in y 1.838 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in y 1.838 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in y 1.838 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 1.838 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.838 * [taylor]: Taking taylor expansion of x in y 1.838 * [taylor]: Taking taylor expansion of y in y 1.839 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in x 1.839 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in x 1.839 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in x 1.839 * [taylor]: Taking taylor expansion of 1/3 in x 1.839 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in x 1.840 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 1.840 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of y in x 1.840 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) y)) 1/3) in x 1.840 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) y))))) in x 1.840 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) y)))) in x 1.840 * [taylor]: Taking taylor expansion of 1/3 in x 1.840 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) y))) in x 1.840 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 1.840 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 1.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of y in x 1.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (* 2 (log x))))) in y 1.841 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (* 2 (log x)))) in y 1.841 * [taylor]: Taking taylor expansion of 1/3 in y 1.841 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (* 2 (log x))) in y 1.841 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.841 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.841 * [taylor]: Taking taylor expansion of y in y 1.842 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.842 * [taylor]: Taking taylor expansion of 2 in y 1.842 * [taylor]: Taking taylor expansion of (log x) in y 1.842 * [taylor]: Taking taylor expansion of x in y 1.845 * [taylor]: Taking taylor expansion of 0 in y 1.857 * [taylor]: Taking taylor expansion of 0 in y 1.867 * [taylor]: Taking taylor expansion of 0 in y 1.867 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.868 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (* (pow x 4) (pow y 2)) 1/3)) in (x y) around 0 1.868 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (* (pow x 4) (pow y 2)) 1/3)) in y 1.868 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.868 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.868 * [taylor]: Taking taylor expansion of -1 in y 1.868 * [taylor]: Taking taylor expansion of (pow (* (pow x 4) (pow y 2)) 1/3) in y 1.868 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 4) (pow y 2))))) in y 1.868 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 4) (pow y 2)))) in y 1.868 * [taylor]: Taking taylor expansion of 1/3 in y 1.868 * [taylor]: Taking taylor expansion of (log (* (pow x 4) (pow y 2))) in y 1.868 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow y 2)) in y 1.868 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.868 * [taylor]: Taking taylor expansion of x in y 1.868 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.868 * [taylor]: Taking taylor expansion of y in y 1.869 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (* (pow x 4) (pow y 2)) 1/3)) in x 1.869 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.870 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.870 * [taylor]: Taking taylor expansion of -1 in x 1.870 * [taylor]: Taking taylor expansion of (pow (* (pow x 4) (pow y 2)) 1/3) in x 1.870 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 4) (pow y 2))))) in x 1.870 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 4) (pow y 2)))) in x 1.870 * [taylor]: Taking taylor expansion of 1/3 in x 1.870 * [taylor]: Taking taylor expansion of (log (* (pow x 4) (pow y 2))) in x 1.870 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow y 2)) in x 1.870 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.870 * [taylor]: Taking taylor expansion of x in x 1.870 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.870 * [taylor]: Taking taylor expansion of y in x 1.871 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (* (pow x 4) (pow y 2)) 1/3)) in x 1.871 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.871 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.871 * [taylor]: Taking taylor expansion of -1 in x 1.872 * [taylor]: Taking taylor expansion of (pow (* (pow x 4) (pow y 2)) 1/3) in x 1.872 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 4) (pow y 2))))) in x 1.872 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 4) (pow y 2)))) in x 1.872 * [taylor]: Taking taylor expansion of 1/3 in x 1.872 * [taylor]: Taking taylor expansion of (log (* (pow x 4) (pow y 2))) in x 1.872 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow y 2)) in x 1.872 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.872 * [taylor]: Taking taylor expansion of x in x 1.872 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.872 * [taylor]: Taking taylor expansion of y in x 1.875 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (exp (* 1/3 (+ (log (pow y 2)) (* 4 (log x)))))) in y 1.875 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.875 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.875 * [taylor]: Taking taylor expansion of -1 in y 1.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (* 4 (log x))))) in y 1.876 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (* 4 (log x)))) in y 1.876 * [taylor]: Taking taylor expansion of 1/3 in y 1.876 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (* 4 (log x))) in y 1.876 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.876 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.876 * [taylor]: Taking taylor expansion of y in y 1.876 * [taylor]: Taking taylor expansion of (* 4 (log x)) in y 1.876 * [taylor]: Taking taylor expansion of 4 in y 1.876 * [taylor]: Taking taylor expansion of (log x) in y 1.876 * [taylor]: Taking taylor expansion of x in y 1.882 * [taylor]: Taking taylor expansion of 0 in y 1.892 * [taylor]: Taking taylor expansion of 0 in y 1.907 * [taylor]: Taking taylor expansion of 0 in y 1.908 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 4) (pow y 2))) 1/3)) in (x y) around 0 1.908 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 4) (pow y 2))) 1/3)) in y 1.908 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.908 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.908 * [taylor]: Taking taylor expansion of -1 in y 1.909 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 4) (pow y 2))) 1/3) in y 1.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 4) (pow y 2)))))) in y 1.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 4) (pow y 2))))) in y 1.909 * [taylor]: Taking taylor expansion of 1/3 in y 1.909 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 4) (pow y 2)))) in y 1.909 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow y 2))) in y 1.909 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow y 2)) in y 1.909 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.909 * [taylor]: Taking taylor expansion of x in y 1.909 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.909 * [taylor]: Taking taylor expansion of y in y 1.910 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 4) (pow y 2))) 1/3)) in x 1.910 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.910 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.910 * [taylor]: Taking taylor expansion of -1 in x 1.911 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 4) (pow y 2))) 1/3) in x 1.911 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 4) (pow y 2)))))) in x 1.911 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 4) (pow y 2))))) in x 1.911 * [taylor]: Taking taylor expansion of 1/3 in x 1.911 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 4) (pow y 2)))) in x 1.911 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow y 2))) in x 1.911 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow y 2)) in x 1.911 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.911 * [taylor]: Taking taylor expansion of x in x 1.911 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.911 * [taylor]: Taking taylor expansion of y in x 1.912 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 4) (pow y 2))) 1/3)) in x 1.912 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.912 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.912 * [taylor]: Taking taylor expansion of -1 in x 1.913 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 4) (pow y 2))) 1/3) in x 1.913 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 4) (pow y 2)))))) in x 1.913 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 4) (pow y 2))))) in x 1.913 * [taylor]: Taking taylor expansion of 1/3 in x 1.913 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 4) (pow y 2)))) in x 1.913 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow y 2))) in x 1.913 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow y 2)) in x 1.913 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.913 * [taylor]: Taking taylor expansion of x in x 1.913 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.913 * [taylor]: Taking taylor expansion of y in x 1.916 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (* 4 (log x)))))) in y 1.916 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.916 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.916 * [taylor]: Taking taylor expansion of -1 in y 1.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (* 4 (log x))))) in y 1.917 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (* 4 (log x)))) in y 1.917 * [taylor]: Taking taylor expansion of 1/3 in y 1.917 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (* 4 (log x))) in y 1.917 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.917 * [taylor]: Taking taylor expansion of y in y 1.917 * [taylor]: Taking taylor expansion of (* 4 (log x)) in y 1.917 * [taylor]: Taking taylor expansion of 4 in y 1.917 * [taylor]: Taking taylor expansion of (log x) in y 1.917 * [taylor]: Taking taylor expansion of x in y 1.924 * [taylor]: Taking taylor expansion of 0 in y 1.935 * [taylor]: Taking taylor expansion of 0 in y 1.957 * [taylor]: Taking taylor expansion of 0 in y 1.958 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 4) (pow y 2))) 1/3) in (x y) around 0 1.958 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 4) (pow y 2))) 1/3) in y 1.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 4) (pow y 2)))))) in y 1.958 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 4) (pow y 2))))) in y 1.958 * [taylor]: Taking taylor expansion of 1/3 in y 1.958 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 4) (pow y 2)))) in y 1.958 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow y 2))) in y 1.958 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow y 2)) in y 1.958 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.958 * [taylor]: Taking taylor expansion of x in y 1.958 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.958 * [taylor]: Taking taylor expansion of y in y 1.959 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 4) (pow y 2))) 1/3) in x 1.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 4) (pow y 2)))))) in x 1.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 4) (pow y 2))))) in x 1.959 * [taylor]: Taking taylor expansion of 1/3 in x 1.959 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 4) (pow y 2)))) in x 1.959 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow y 2))) in x 1.959 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow y 2)) in x 1.959 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.959 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.959 * [taylor]: Taking taylor expansion of y in x 1.961 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 4) (pow y 2))) 1/3) in x 1.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 4) (pow y 2)))))) in x 1.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 4) (pow y 2))))) in x 1.961 * [taylor]: Taking taylor expansion of 1/3 in x 1.961 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 4) (pow y 2)))) in x 1.961 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow y 2))) in x 1.961 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow y 2)) in x 1.961 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.961 * [taylor]: Taking taylor expansion of x in x 1.961 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.961 * [taylor]: Taking taylor expansion of y in x 1.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (* 4 (log x))))) in y 1.962 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (* 4 (log x)))) in y 1.962 * [taylor]: Taking taylor expansion of 1/3 in y 1.962 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (* 4 (log x))) in y 1.962 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.962 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.962 * [taylor]: Taking taylor expansion of y in y 1.963 * [taylor]: Taking taylor expansion of (* 4 (log x)) in y 1.963 * [taylor]: Taking taylor expansion of 4 in y 1.963 * [taylor]: Taking taylor expansion of (log x) in y 1.963 * [taylor]: Taking taylor expansion of x in y 1.966 * [taylor]: Taking taylor expansion of 0 in y 1.974 * [taylor]: Taking taylor expansion of 0 in y 1.986 * [taylor]: Taking taylor expansion of 0 in y 1.986 * * * [progress]: simplifying candidates 1.987 * [simplify]: Simplifying using # : (log (cbrt (* x (- (* x y))))) (exp (cbrt (* x (- (* x y))))) (cbrt x) (cbrt (- (* x y))) (* (cbrt (cbrt (* x (- (* x y))))) (cbrt (cbrt (* x (- (* x y)))))) (cbrt (cbrt (* x (- (* x y))))) (* (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y))))) (cbrt (* x (- (* x y))))) (sqrt (cbrt (* x (- (* x y))))) (sqrt (cbrt (* x (- (* x y))))) (log (cbrt (* x (- (* x y))))) (exp (cbrt (* x (- (* x y))))) (cbrt x) (cbrt (- (* x y))) (* (cbrt (cbrt (* x (- (* x y))))) (cbrt (cbrt (* x (- (* x y)))))) (cbrt (cbrt (* x (- (* x y))))) (* (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y))))) (cbrt (* x (- (* x y))))) (sqrt (cbrt (* x (- (* x y))))) (sqrt (cbrt (* x (- (* x y))))) (log (cbrt (* x (- (* x y))))) (exp (cbrt (* x (- (* x y))))) (cbrt x) (cbrt (- (* x y))) (* (cbrt (cbrt (* x (- (* x y))))) (cbrt (cbrt (* x (- (* x y)))))) (cbrt (cbrt (* x (- (* x y))))) (* (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y))))) (cbrt (* x (- (* x y))))) (sqrt (cbrt (* x (- (* x y))))) (sqrt (cbrt (* x (- (* x y))))) (+ 1/3 1/3) (+ 1 1) (* (* x (- (* x y))) (* x (- (* x y)))) (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y))))) (+ 1 1) (+ (log (cbrt (* x (- (* x y))))) (log (cbrt (* x (- (* x y)))))) (log (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))) (exp (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))) (* (* x (- (* x y))) (* x (- (* x y)))) (* (cbrt (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))) (cbrt (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y))))))) (cbrt (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))) (* (* (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y))))) (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))) (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))) (sqrt (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))) (sqrt (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))) (* (cbrt x) (cbrt x)) (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (* (* (cbrt (cbrt (* x (- (* x y))))) (cbrt (cbrt (* x (- (* x y)))))) (* (cbrt (cbrt (* x (- (* x y))))) (cbrt (cbrt (* x (- (* x y))))))) (* (cbrt (cbrt (* x (- (* x y))))) (cbrt (cbrt (* x (- (* x y)))))) (* (sqrt (cbrt (* x (- (* x y))))) (sqrt (cbrt (* x (- (* x y)))))) (* (sqrt (cbrt (* x (- (* x y))))) (sqrt (cbrt (* x (- (* x y)))))) (* 1 1) (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y))))) (* (sqrt (cbrt (* x (- (* x y))))) (sqrt (cbrt (* x (- (* x y)))))) (* (sqrt (cbrt (* x (- (* x y))))) (sqrt (cbrt (* x (- (* x y)))))) (* 2 1/3) (* 2 1) (* (cbrt (* x (- (* x y)))) (cbrt x)) (* (cbrt (* x (- (* x y)))) (* (cbrt (cbrt (* x (- (* x y))))) (cbrt (cbrt (* x (- (* x y))))))) (* (cbrt (* x (- (* x y)))) (sqrt (cbrt (* x (- (* x y)))))) (* (cbrt (* x (- (* x y)))) 1) (* (cbrt (- (* x y))) (cbrt (* x (- (* x y))))) (* (cbrt (cbrt (* x (- (* x y))))) (cbrt (* x (- (* x y))))) (* (sqrt (cbrt (* x (- (* x y))))) (cbrt (* x (- (* x y))))) (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y))))) (* (cbrt -1) (exp (* 1/3 (+ (* 2 (log x)) (log y))))) (* (exp (* -1/3 (+ (* 2 (log (/ 1 x))) (log (/ 1 y))))) (cbrt -1)) (exp (* -1/3 (+ (log (/ -1 y)) (* 2 (log (/ -1 x)))))) (* (cbrt -1) (exp (* 1/3 (+ (* 2 (log x)) (log y))))) (* (exp (* -1/3 (+ (* 2 (log (/ 1 x))) (log (/ 1 y))))) (cbrt -1)) (exp (* -1/3 (+ (log (/ -1 y)) (* 2 (log (/ -1 x)))))) (* (cbrt -1) (exp (* 1/3 (+ (* 2 (log x)) (log y))))) (* (exp (* -1/3 (+ (* 2 (log (/ 1 x))) (log (/ 1 y))))) (cbrt -1)) (exp (* -1/3 (+ (log (/ -1 y)) (* 2 (log (/ -1 x)))))) (* (pow (cbrt -1) 2) (exp (* 1/3 (+ (* 4 (log x)) (* 2 (log y)))))) (* (pow (cbrt -1) 2) (exp (* -1/3 (+ (* 4 (log (/ 1 x))) (* 2 (log (/ 1 y))))))) (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (* 4 (log (/ -1 x)))))) 1.987 * [simplify]: Sending expressions to egg_math: (log (cbrt (* h0 (- (* h0 h1))))) (exp (cbrt (* h0 (- (* h0 h1))))) (cbrt h0) (cbrt (- (* h0 h1))) (* (cbrt (cbrt (* h0 (- (* h0 h1))))) (cbrt (cbrt (* h0 (- (* h0 h1)))))) (cbrt (cbrt (* h0 (- (* h0 h1))))) (* (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1))))) (cbrt (* h0 (- (* h0 h1))))) (sqrt (cbrt (* h0 (- (* h0 h1))))) (sqrt (cbrt (* h0 (- (* h0 h1))))) (log (cbrt (* h0 (- (* h0 h1))))) (exp (cbrt (* h0 (- (* h0 h1))))) (cbrt h0) (cbrt (- (* h0 h1))) (* (cbrt (cbrt (* h0 (- (* h0 h1))))) (cbrt (cbrt (* h0 (- (* h0 h1)))))) (cbrt (cbrt (* h0 (- (* h0 h1))))) (* (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1))))) (cbrt (* h0 (- (* h0 h1))))) (sqrt (cbrt (* h0 (- (* h0 h1))))) (sqrt (cbrt (* h0 (- (* h0 h1))))) (log (cbrt (* h0 (- (* h0 h1))))) (exp (cbrt (* h0 (- (* h0 h1))))) (cbrt h0) (cbrt (- (* h0 h1))) (* (cbrt (cbrt (* h0 (- (* h0 h1))))) (cbrt (cbrt (* h0 (- (* h0 h1)))))) (cbrt (cbrt (* h0 (- (* h0 h1))))) (* (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1))))) (cbrt (* h0 (- (* h0 h1))))) (sqrt (cbrt (* h0 (- (* h0 h1))))) (sqrt (cbrt (* h0 (- (* h0 h1))))) (+ 1/3 1/3) (+ 1 1) (* (* h0 (- (* h0 h1))) (* h0 (- (* h0 h1)))) (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1))))) (+ 1 1) (+ (log (cbrt (* h0 (- (* h0 h1))))) (log (cbrt (* h0 (- (* h0 h1)))))) (log (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1)))))) (exp (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1)))))) (* (* h0 (- (* h0 h1))) (* h0 (- (* h0 h1)))) (* (cbrt (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1)))))) (cbrt (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1))))))) (cbrt (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1)))))) (* (* (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1))))) (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1)))))) (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1)))))) (sqrt (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1)))))) (sqrt (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1)))))) (* (cbrt h0) (cbrt h0)) (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1)))) (* (* (cbrt (cbrt (* h0 (- (* h0 h1))))) (cbrt (cbrt (* h0 (- (* h0 h1)))))) (* (cbrt (cbrt (* h0 (- (* h0 h1))))) (cbrt (cbrt (* h0 (- (* h0 h1))))))) (* (cbrt (cbrt (* h0 (- (* h0 h1))))) (cbrt (cbrt (* h0 (- (* h0 h1)))))) (* (sqrt (cbrt (* h0 (- (* h0 h1))))) (sqrt (cbrt (* h0 (- (* h0 h1)))))) (* (sqrt (cbrt (* h0 (- (* h0 h1))))) (sqrt (cbrt (* h0 (- (* h0 h1)))))) (* 1 1) (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1))))) (* (sqrt (cbrt (* h0 (- (* h0 h1))))) (sqrt (cbrt (* h0 (- (* h0 h1)))))) (* (sqrt (cbrt (* h0 (- (* h0 h1))))) (sqrt (cbrt (* h0 (- (* h0 h1)))))) (* 2 1/3) (* 2 1) (* (cbrt (* h0 (- (* h0 h1)))) (cbrt h0)) (* (cbrt (* h0 (- (* h0 h1)))) (* (cbrt (cbrt (* h0 (- (* h0 h1))))) (cbrt (cbrt (* h0 (- (* h0 h1))))))) (* (cbrt (* h0 (- (* h0 h1)))) (sqrt (cbrt (* h0 (- (* h0 h1)))))) (* (cbrt (* h0 (- (* h0 h1)))) 1) (* (cbrt (- (* h0 h1))) (cbrt (* h0 (- (* h0 h1))))) (* (cbrt (cbrt (* h0 (- (* h0 h1))))) (cbrt (* h0 (- (* h0 h1))))) (* (sqrt (cbrt (* h0 (- (* h0 h1))))) (cbrt (* h0 (- (* h0 h1))))) (* (cbrt (* h0 (- (* h0 h1)))) (cbrt (* h0 (- (* h0 h1))))) (* (cbrt -1) (exp (* 1/3 (+ (* 2 (log h0)) (log h1))))) (* (exp (* -1/3 (+ (* 2 (log (/ 1 h0))) (log (/ 1 h1))))) (cbrt -1)) (exp (* -1/3 (+ (log (/ -1 h1)) (* 2 (log (/ -1 h0)))))) (* (cbrt -1) (exp (* 1/3 (+ (* 2 (log h0)) (log h1))))) (* (exp (* -1/3 (+ (* 2 (log (/ 1 h0))) (log (/ 1 h1))))) (cbrt -1)) (exp (* -1/3 (+ (log (/ -1 h1)) (* 2 (log (/ -1 h0)))))) (* (cbrt -1) (exp (* 1/3 (+ (* 2 (log h0)) (log h1))))) (* (exp (* -1/3 (+ (* 2 (log (/ 1 h0))) (log (/ 1 h1))))) (cbrt -1)) (exp (* -1/3 (+ (log (/ -1 h1)) (* 2 (log (/ -1 h0)))))) (* (pow (cbrt -1) 2) (exp (* 1/3 (+ (* 4 (log h0)) (* 2 (log h1)))))) (* (pow (cbrt -1) 2) (exp (* -1/3 (+ (* 4 (log (/ 1 h0))) (* 2 (log (/ 1 h1))))))) (exp (* -1/3 (+ (* 2 (log (/ -1 h1))) (* 4 (log (/ -1 h0)))))) 1.991 * * [simplify]: iteration 0 : 211 enodes (cost 528 ) 1.995 * * [simplify]: iteration 1 : 689 enodes (cost 459 ) 2.011 * * [simplify]: iteration 2 : 3215 enodes (cost 384 ) 2.080 * * [simplify]: iteration 3 : 5001 enodes (cost 378 ) 2.082 * [simplify]: Simplified to: (log (cbrt (* x (- (* x y))))) (exp (cbrt (* x (- (* x y))))) (cbrt x) (cbrt (- (* x y))) (* (cbrt (cbrt (* x (- (* x y))))) (cbrt (cbrt (* x (- (* x y)))))) (cbrt (cbrt (* x (- (* x y))))) (* x (- (* x y))) (sqrt (cbrt (* x (- (* x y))))) (sqrt (cbrt (* x (- (* x y))))) (log (cbrt (* x (- (* x y))))) (exp (cbrt (* x (- (* x y))))) (cbrt x) (cbrt (- (* x y))) (* (cbrt (cbrt (* x (- (* x y))))) (cbrt (cbrt (* x (- (* x y)))))) (cbrt (cbrt (* x (- (* x y))))) (* x (- (* x y))) (sqrt (cbrt (* x (- (* x y))))) (sqrt (cbrt (* x (- (* x y))))) (log (cbrt (* x (- (* x y))))) (exp (cbrt (* x (- (* x y))))) (cbrt x) (cbrt (- (* x y))) (* (cbrt (cbrt (* x (- (* x y))))) (cbrt (cbrt (* x (- (* x y)))))) (cbrt (cbrt (* x (- (* x y))))) (* x (- (* x y))) (sqrt (cbrt (* x (- (* x y))))) (sqrt (cbrt (* x (- (* x y))))) 2/3 2 (* (* x (* x y)) (* x (* x y))) (pow (sqrt (cbrt (* x (- (* x y))))) 4) 2 (* 2 (log (cbrt (* x (- (* x y)))))) (* 2 (log (cbrt (* x (- (* x y)))))) (pow (exp 1) (pow (sqrt (cbrt (* x (- (* x y))))) 4)) (* (* x (* x y)) (* x (* x y))) (* (cbrt (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))) (cbrt (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y))))))) (cbrt (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))) (* (* x (* x y)) (* x (* x y))) (fabs (cbrt (* x (- (* x y))))) (fabs (cbrt (* x (- (* x y))))) (* (cbrt x) (cbrt x)) (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (pow (cbrt (cbrt (* x (- (* x y))))) 4) (* (cbrt (cbrt (* x (- (* x y))))) (cbrt (cbrt (* x (- (* x y)))))) (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))) 1 (pow (sqrt (cbrt (* x (- (* x y))))) 4) (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))) 2/3 2 (* (cbrt (* x (- (* x y)))) (cbrt x)) (pow (cbrt (cbrt (* x (- (* x y))))) 5) (pow (sqrt (cbrt (* x (- (* x y))))) 3) (cbrt (* x (- (* x y)))) (* (cbrt (- (* x y))) (cbrt (* x (- (* x y))))) (pow (cbrt (cbrt (* x (- (* x y))))) 4) (pow (sqrt (cbrt (* x (- (* x y))))) 3) (pow (sqrt (cbrt (* x (- (* x y))))) 4) (* (* (cbrt -1) (pow x 2/3)) (pow y 1/3)) (* (* (cbrt -1) (pow (/ 1 x) -2/3)) (pow (/ 1 y) -1/3)) (* (pow (/ -1 x) -2/3) (pow (/ -1 y) -1/3)) (* (* (cbrt -1) (pow x 2/3)) (pow y 1/3)) (* (* (cbrt -1) (pow (/ 1 x) -2/3)) (pow (/ 1 y) -1/3)) (* (pow (/ -1 x) -2/3) (pow (/ -1 y) -1/3)) (* (* (cbrt -1) (pow x 2/3)) (pow y 1/3)) (* (* (cbrt -1) (pow (/ 1 x) -2/3)) (pow (/ 1 y) -1/3)) (* (pow (/ -1 x) -2/3) (pow (/ -1 y) -1/3)) (* (* (pow (cbrt -1) 2) (pow x 4/3)) (pow y 2/3)) (* (* (pow (cbrt -1) 2) (pow (/ 1 x) -4/3)) (pow (/ 1 y) -2/3)) (* (pow (/ -1 x) -4/3) (pow (/ -1 y) -2/3)) 2.082 * * * [progress]: adding candidates to table 2.281 * [progress]: [Phase 3 of 3] Extracting. 2.282 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.283 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.283 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 2.309 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 2.334 * * * [regime]: Found split indices: #