1.355 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* x (- 1.0 (* x y))) 0.017 * [simplify]: Sending expressions to egg_math: (* h0 (- h1 (* h0 h2))) 0.019 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 38 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 47 enodes (cost 3 ) 0.025 * * [simplify]: iteration 4 : 47 enodes (cost 3 ) 0.025 * [simplify]: Simplified to: (* x (- 1.0 (* x y))) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.048 * [approximate]: Taking taylor expansion of (* x (- 1.0 (* x y))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in y 0.048 * [taylor]: Taking taylor expansion of 1.0 in y 0.048 * [taylor]: Taking taylor expansion of (* x y) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of (* x y) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of (* x y) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 1.0 in y 0.051 * [taylor]: Taking taylor expansion of (- y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in y 0.056 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.056 * [taylor]: Taking taylor expansion of 1.0 in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.056 * [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 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in x 0.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.057 * [taylor]: Taking taylor expansion of (* x y) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [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 y) in y 0.058 * [taylor]: Taking taylor expansion of -1 in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 1.0 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in (x y) around 0 0.072 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in y 0.072 * [taylor]: Taking taylor expansion of -1 in y 0.072 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in y 0.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.072 * [taylor]: Taking taylor expansion of 1.0 in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.073 * [taylor]: Taking taylor expansion of (* x y) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in x 0.073 * [taylor]: Taking taylor expansion of -1 in x 0.073 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in x 0.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.074 * [taylor]: Taking taylor expansion of (* x y) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in x 0.074 * [taylor]: Taking taylor expansion of -1 in x 0.074 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in x 0.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.074 * [taylor]: Taking taylor expansion of (* x y) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (- 1.0) in y 0.077 * [taylor]: Taking taylor expansion of 1.0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.089 * * * [progress]: simplifying candidates 0.089 * [simplify]: Simplifying using # : (* 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)) 0.089 * [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))) 0.178 * * * [progress]: adding candidates to table 0.213 * * [progress]: iteration 2 / 4 0.213 * * * [progress]: picking best candidate 0.225 * * * * [pick]: Picked # 0.225 * * * [progress]: localizing error 0.232 * * * [progress]: generating rewritten candidates 0.232 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.243 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.253 * * * [progress]: generating series expansions 0.253 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.253 * [approximate]: Taking taylor expansion of (* -1 (* (pow x 2) y)) in (x y) around 0 0.253 * [taylor]: Taking taylor expansion of (* -1 (* (pow x 2) y)) in y 0.253 * [taylor]: Taking taylor expansion of -1 in y 0.253 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.253 * [taylor]: Taking taylor expansion of x in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (* -1 (* (pow x 2) y)) in x 0.253 * [taylor]: Taking taylor expansion of -1 in x 0.253 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (* -1 (* (pow x 2) y)) in x 0.253 * [taylor]: Taking taylor expansion of -1 in x 0.253 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.254 * [taylor]: Taking taylor expansion of -1 in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 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 0.260 * [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 (* (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 0.261 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.261 * [taylor]: Taking taylor expansion of -1 in y 0.261 * [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 (* (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 (* (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 0.266 * [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 (* (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 y in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.272 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.272 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* (pow x 2) y)) in (x y) around 0 0.272 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* (pow x 2) y)) in y 0.272 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.272 * [taylor]: Taking taylor expansion of 1.0 in y 0.272 * [taylor]: Taking taylor expansion of x 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 0.272 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* (pow x 2) y)) in x 0.272 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* (pow x 2) y)) in x 0.272 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of 1.0 in y 0.275 * [taylor]: Taking taylor expansion of (- y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* (pow x 2) y))) in (x y) around 0 0.279 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* (pow x 2) y))) in y 0.279 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.279 * [taylor]: Taking taylor expansion of 1.0 in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in y 0.283 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* (pow x 2) y))) in x 0.284 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of 1.0 in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 0.284 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* (pow x 2) y))) in x 0.285 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.285 * [taylor]: Taking taylor expansion of 1.0 in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 0.285 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of 1.0 in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) y)) (* 1.0 (/ 1 x))) in (x y) around 0 0.298 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) y)) (* 1.0 (/ 1 x))) in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in y 0.298 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.298 * [taylor]: Taking taylor expansion of 1.0 in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) y)) (* 1.0 (/ 1 x))) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 0.298 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.299 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.299 * [taylor]: Taking taylor expansion of 1.0 in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) y)) (* 1.0 (/ 1 x))) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 0.299 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.299 * [taylor]: Taking taylor expansion of 1.0 in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of (- 1.0) in y 0.301 * [taylor]: Taking taylor expansion of 1.0 in y 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.312 * * * [progress]: simplifying candidates 0.312 * [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)) 0.312 * [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)) 0.316 * * [simplify]: iteration 0 : 181 enodes (cost 210 ) 0.320 * * [simplify]: iteration 1 : 1035 enodes (cost 183 ) 0.355 * * [simplify]: iteration 2 : 5001 enodes (cost 179 ) 0.356 * [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))) 0.356 * * * [progress]: adding candidates to table 0.427 * * [progress]: iteration 3 / 4 0.427 * * * [progress]: picking best candidate 0.441 * * * * [pick]: Picked # 0.441 * * * [progress]: localizing error 0.451 * * * [progress]: generating rewritten candidates 0.452 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.454 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.456 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 0.458 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.480 * * * [progress]: generating series expansions 0.480 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.480 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in (x y) around 0 0.480 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in y 0.480 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.480 * [taylor]: Taking taylor expansion of -1 in y 0.481 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 0.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in y 0.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in y 0.481 * [taylor]: Taking taylor expansion of 1/3 in y 0.481 * [taylor]: Taking taylor expansion of (log (* x y)) in y 0.481 * [taylor]: Taking taylor expansion of (* x y) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in x 0.482 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.482 * [taylor]: Taking taylor expansion of -1 in x 0.483 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 0.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 0.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 0.483 * [taylor]: Taking taylor expansion of 1/3 in x 0.483 * [taylor]: Taking taylor expansion of (log (* x y)) in x 0.483 * [taylor]: Taking taylor expansion of (* x y) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in x 0.484 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.484 * [taylor]: Taking taylor expansion of -1 in x 0.484 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 0.484 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 0.484 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 0.484 * [taylor]: Taking taylor expansion of 1/3 in x 0.484 * [taylor]: Taking taylor expansion of (log (* x y)) in x 0.484 * [taylor]: Taking taylor expansion of (* x y) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (+ (log x) (log y))))) in y 0.486 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.486 * [taylor]: Taking taylor expansion of -1 in y 0.486 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log y)))) in y 0.486 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log y))) in y 0.486 * [taylor]: Taking taylor expansion of 1/3 in y 0.486 * [taylor]: Taking taylor expansion of (+ (log x) (log y)) in y 0.486 * [taylor]: Taking taylor expansion of (log x) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of (log y) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.513 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in (x y) around 0 0.513 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in y 0.513 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.513 * [taylor]: Taking taylor expansion of -1 in y 0.514 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 0.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 0.514 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 0.514 * [taylor]: Taking taylor expansion of 1/3 in y 0.514 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 0.514 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.514 * [taylor]: Taking taylor expansion of (* x y) in y 0.514 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 0.515 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.515 * [taylor]: Taking taylor expansion of -1 in x 0.515 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.515 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.515 * [taylor]: Taking taylor expansion of 1/3 in x 0.515 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.515 * [taylor]: Taking taylor expansion of (* x y) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.516 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 0.516 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.517 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.517 * [taylor]: Taking taylor expansion of 1/3 in x 0.517 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.517 * [taylor]: Taking taylor expansion of (* x y) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.518 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 y)) (log x))))) in y 0.518 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.518 * [taylor]: Taking taylor expansion of -1 in y 0.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 0.519 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 0.519 * [taylor]: Taking taylor expansion of 1/3 in y 0.519 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 0.519 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.519 * [taylor]: Taking taylor expansion of (log x) in y 0.520 * [taylor]: Taking taylor expansion of x in y 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.543 * [taylor]: Taking taylor expansion of 0 in y 0.544 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in (x y) around 0 0.544 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in y 0.544 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.544 * [taylor]: Taking taylor expansion of -1 in y 0.545 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 0.545 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 0.545 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 0.545 * [taylor]: Taking taylor expansion of 1/3 in y 0.545 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.545 * [taylor]: Taking taylor expansion of (* x y) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 0.545 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.545 * [taylor]: Taking taylor expansion of -1 in x 0.546 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.546 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.546 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.546 * [taylor]: Taking taylor expansion of 1/3 in x 0.546 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.546 * [taylor]: Taking taylor expansion of (* x y) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.547 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 0.547 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.547 * [taylor]: Taking taylor expansion of -1 in x 0.548 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.548 * [taylor]: Taking taylor expansion of 1/3 in x 0.548 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.548 * [taylor]: Taking taylor expansion of (* x y) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 y)) (log x))))) in y 0.549 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.549 * [taylor]: Taking taylor expansion of -1 in y 0.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 0.550 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 0.550 * [taylor]: Taking taylor expansion of 1/3 in y 0.550 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 0.550 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (log x) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of 0 in y 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.574 * [taylor]: Taking taylor expansion of 0 in y 0.574 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.574 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in (x y) around 0 0.574 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in y 0.574 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.574 * [taylor]: Taking taylor expansion of -1 in y 0.575 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 0.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in y 0.575 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in y 0.575 * [taylor]: Taking taylor expansion of 1/3 in y 0.575 * [taylor]: Taking taylor expansion of (log (* x y)) in y 0.575 * [taylor]: Taking taylor expansion of (* x y) in y 0.575 * [taylor]: Taking taylor expansion of x in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.576 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in x 0.576 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.576 * [taylor]: Taking taylor expansion of -1 in x 0.577 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 0.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 0.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 0.577 * [taylor]: Taking taylor expansion of 1/3 in x 0.577 * [taylor]: Taking taylor expansion of (log (* x y)) in x 0.577 * [taylor]: Taking taylor expansion of (* x y) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in x 0.577 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.577 * [taylor]: Taking taylor expansion of -1 in x 0.578 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 0.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 0.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 0.578 * [taylor]: Taking taylor expansion of 1/3 in x 0.578 * [taylor]: Taking taylor expansion of (log (* x y)) in x 0.578 * [taylor]: Taking taylor expansion of (* x y) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.579 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (+ (log x) (log y))))) in y 0.579 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.579 * [taylor]: Taking taylor expansion of -1 in y 0.580 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log y)))) in y 0.580 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log y))) in y 0.580 * [taylor]: Taking taylor expansion of 1/3 in y 0.580 * [taylor]: Taking taylor expansion of (+ (log x) (log y)) in y 0.580 * [taylor]: Taking taylor expansion of (log x) in y 0.580 * [taylor]: Taking taylor expansion of x in y 0.580 * [taylor]: Taking taylor expansion of (log y) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.591 * [taylor]: Taking taylor expansion of 0 in y 0.608 * [taylor]: Taking taylor expansion of 0 in y 0.609 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in (x y) around 0 0.609 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in y 0.609 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.609 * [taylor]: Taking taylor expansion of -1 in y 0.610 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 0.610 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 0.610 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 0.610 * [taylor]: Taking taylor expansion of 1/3 in y 0.610 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 0.610 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.610 * [taylor]: Taking taylor expansion of (* x y) in y 0.610 * [taylor]: Taking taylor expansion of x in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 0.611 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.611 * [taylor]: Taking taylor expansion of -1 in x 0.612 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.612 * [taylor]: Taking taylor expansion of 1/3 in x 0.612 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.612 * [taylor]: Taking taylor expansion of (* x y) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of y in x 0.612 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 0.612 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.612 * [taylor]: Taking taylor expansion of -1 in x 0.613 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.613 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.613 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.613 * [taylor]: Taking taylor expansion of 1/3 in x 0.613 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.613 * [taylor]: Taking taylor expansion of (* x y) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of y in x 0.615 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 y)) (log x))))) in y 0.615 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.615 * [taylor]: Taking taylor expansion of -1 in y 0.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 0.615 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 0.615 * [taylor]: Taking taylor expansion of 1/3 in y 0.615 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 0.615 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.615 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of (log x) in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in (x y) around 0 0.639 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in y 0.640 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.640 * [taylor]: Taking taylor expansion of -1 in y 0.640 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 0.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 0.640 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 0.640 * [taylor]: Taking taylor expansion of 1/3 in y 0.640 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.640 * [taylor]: Taking taylor expansion of (* x y) in y 0.640 * [taylor]: Taking taylor expansion of x in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 0.641 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.641 * [taylor]: Taking taylor expansion of -1 in x 0.642 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.642 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.642 * [taylor]: Taking taylor expansion of 1/3 in x 0.642 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.642 * [taylor]: Taking taylor expansion of (* x y) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 0.643 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.643 * [taylor]: Taking taylor expansion of -1 in x 0.643 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.643 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.643 * [taylor]: Taking taylor expansion of 1/3 in x 0.643 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.643 * [taylor]: Taking taylor expansion of (* x y) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 y)) (log x))))) in y 0.645 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.645 * [taylor]: Taking taylor expansion of -1 in y 0.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 0.645 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 0.645 * [taylor]: Taking taylor expansion of 1/3 in y 0.645 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 0.645 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.645 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of (log x) in y 0.646 * [taylor]: Taking taylor expansion of x in y 0.649 * [taylor]: Taking taylor expansion of 0 in y 0.657 * [taylor]: Taking taylor expansion of 0 in y 0.669 * [taylor]: Taking taylor expansion of 0 in y 0.670 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 0.670 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in (x y) around 0 0.670 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in y 0.670 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.670 * [taylor]: Taking taylor expansion of -1 in y 0.670 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 0.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in y 0.671 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in y 0.671 * [taylor]: Taking taylor expansion of 1/3 in y 0.671 * [taylor]: Taking taylor expansion of (log (* x y)) in y 0.671 * [taylor]: Taking taylor expansion of (* x y) in y 0.671 * [taylor]: Taking taylor expansion of x in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in x 0.671 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.671 * [taylor]: Taking taylor expansion of -1 in x 0.672 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 0.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 0.672 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 0.672 * [taylor]: Taking taylor expansion of 1/3 in x 0.672 * [taylor]: Taking taylor expansion of (log (* x y)) in x 0.672 * [taylor]: Taking taylor expansion of (* x y) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.673 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in x 0.673 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.673 * [taylor]: Taking taylor expansion of -1 in x 0.673 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 0.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 0.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 0.673 * [taylor]: Taking taylor expansion of 1/3 in x 0.674 * [taylor]: Taking taylor expansion of (log (* x y)) in x 0.674 * [taylor]: Taking taylor expansion of (* x y) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.675 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (+ (log x) (log y))))) in y 0.675 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.675 * [taylor]: Taking taylor expansion of -1 in y 0.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log y)))) in y 0.675 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log y))) in y 0.675 * [taylor]: Taking taylor expansion of 1/3 in y 0.675 * [taylor]: Taking taylor expansion of (+ (log x) (log y)) in y 0.675 * [taylor]: Taking taylor expansion of (log x) in y 0.675 * [taylor]: Taking taylor expansion of x in y 0.675 * [taylor]: Taking taylor expansion of (log y) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of 0 in y 0.686 * [taylor]: Taking taylor expansion of 0 in y 0.702 * [taylor]: Taking taylor expansion of 0 in y 0.703 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in (x y) around 0 0.703 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in y 0.703 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.703 * [taylor]: Taking taylor expansion of -1 in y 0.704 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 0.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 0.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 0.704 * [taylor]: Taking taylor expansion of 1/3 in y 0.704 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.704 * [taylor]: Taking taylor expansion of (* x y) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.705 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 0.705 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.705 * [taylor]: Taking taylor expansion of -1 in x 0.705 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.705 * [taylor]: Taking taylor expansion of 1/3 in x 0.705 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.705 * [taylor]: Taking taylor expansion of (* x y) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of y in x 0.706 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 0.706 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.706 * [taylor]: Taking taylor expansion of -1 in x 0.707 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.707 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.707 * [taylor]: Taking taylor expansion of 1/3 in x 0.707 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.707 * [taylor]: Taking taylor expansion of (* x y) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of y in x 0.708 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 y)) (log x))))) in y 0.708 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.708 * [taylor]: Taking taylor expansion of -1 in y 0.709 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 0.709 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 0.709 * [taylor]: Taking taylor expansion of 1/3 in y 0.709 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 0.709 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.710 * [taylor]: Taking taylor expansion of (log x) in y 0.710 * [taylor]: Taking taylor expansion of x in y 0.713 * [taylor]: Taking taylor expansion of 0 in y 0.721 * [taylor]: Taking taylor expansion of 0 in y 0.732 * [taylor]: Taking taylor expansion of 0 in y 0.733 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in (x y) around 0 0.733 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in y 0.733 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.733 * [taylor]: Taking taylor expansion of -1 in y 0.734 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 0.734 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 0.734 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 0.734 * [taylor]: Taking taylor expansion of 1/3 in y 0.734 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.734 * [taylor]: Taking taylor expansion of (* x y) in y 0.734 * [taylor]: Taking taylor expansion of x in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 0.734 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.734 * [taylor]: Taking taylor expansion of -1 in x 0.735 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.735 * [taylor]: Taking taylor expansion of 1/3 in x 0.735 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.735 * [taylor]: Taking taylor expansion of (* x y) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.736 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 0.736 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.736 * [taylor]: Taking taylor expansion of -1 in x 0.737 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 0.737 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 0.737 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 0.737 * [taylor]: Taking taylor expansion of 1/3 in x 0.737 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.737 * [taylor]: Taking taylor expansion of (* x y) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.738 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 y)) (log x))))) in y 0.738 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.738 * [taylor]: Taking taylor expansion of -1 in y 0.739 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 0.739 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 0.739 * [taylor]: Taking taylor expansion of 1/3 in y 0.739 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 0.739 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of (log x) in y 0.739 * [taylor]: Taking taylor expansion of x in y 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.750 * [taylor]: Taking taylor expansion of 0 in y 0.762 * [taylor]: Taking taylor expansion of 0 in y 0.763 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.763 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (* (pow x 2) (pow y 2)) 1/3)) in (x y) around 0 0.763 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (* (pow x 2) (pow y 2)) 1/3)) in y 0.763 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.763 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.763 * [taylor]: Taking taylor expansion of -1 in y 0.764 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 2)) 1/3) in y 0.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 2))))) in y 0.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 2)))) in y 0.764 * [taylor]: Taking taylor expansion of 1/3 in y 0.764 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 2))) in y 0.764 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.764 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.764 * [taylor]: Taking taylor expansion of x in y 0.764 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.764 * [taylor]: Taking taylor expansion of y in y 0.765 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (* (pow x 2) (pow y 2)) 1/3)) in x 0.765 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) 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 (* (pow x 2) (pow y 2)) 1/3) in x 0.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 2))))) in x 0.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 2)))) in x 0.766 * [taylor]: Taking taylor expansion of 1/3 in x 0.766 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 2))) in x 0.766 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.766 * [taylor]: Taking taylor expansion of y in x 0.767 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (* (pow x 2) (pow y 2)) 1/3)) in x 0.767 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) 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 (* (pow x 2) (pow y 2)) 1/3) in x 0.767 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 2))))) in x 0.767 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 2)))) in x 0.767 * [taylor]: Taking taylor expansion of 1/3 in x 0.767 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 2))) in x 0.767 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.767 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.768 * [taylor]: Taking taylor expansion of y in x 0.770 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (exp (* 1/3 (+ (log (pow y 2)) (* 2 (log x)))))) in y 0.770 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.770 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.770 * [taylor]: Taking taylor expansion of -1 in y 0.771 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (* 2 (log x))))) in y 0.771 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (* 2 (log x)))) in y 0.771 * [taylor]: Taking taylor expansion of 1/3 in y 0.771 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (* 2 (log x))) in y 0.771 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.771 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.771 * [taylor]: Taking taylor expansion of 2 in y 0.771 * [taylor]: Taking taylor expansion of (log x) in y 0.771 * [taylor]: Taking taylor expansion of x in y 0.777 * [taylor]: Taking taylor expansion of 0 in y 0.787 * [taylor]: Taking taylor expansion of 0 in y 0.807 * [taylor]: Taking taylor expansion of 0 in y 0.808 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3)) in (x y) around 0 0.808 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3)) in y 0.808 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.808 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.808 * [taylor]: Taking taylor expansion of -1 in y 0.809 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3) in y 0.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2)))))) in y 0.809 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2))))) in y 0.809 * [taylor]: Taking taylor expansion of 1/3 in y 0.809 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 2)))) in y 0.809 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.809 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.809 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.809 * [taylor]: Taking taylor expansion of x in y 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.809 * [taylor]: Taking taylor expansion of y in y 0.810 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3)) in x 0.810 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.810 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.810 * [taylor]: Taking taylor expansion of -1 in x 0.811 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3) in x 0.811 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2)))))) in x 0.811 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2))))) in x 0.811 * [taylor]: Taking taylor expansion of 1/3 in x 0.811 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 2)))) in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.811 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.811 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.811 * [taylor]: Taking taylor expansion of y in x 0.812 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3)) in x 0.812 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.812 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.812 * [taylor]: Taking taylor expansion of -1 in x 0.813 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3) in x 0.813 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2)))))) in x 0.813 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2))))) in x 0.813 * [taylor]: Taking taylor expansion of 1/3 in x 0.813 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 2)))) in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.813 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.813 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (* 2 (log x)))))) in y 0.815 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.815 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.815 * [taylor]: Taking taylor expansion of -1 in y 0.816 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (* 2 (log x))))) in y 0.816 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (* 2 (log x)))) in y 0.816 * [taylor]: Taking taylor expansion of 1/3 in y 0.816 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (* 2 (log x))) in y 0.816 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.817 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.817 * [taylor]: Taking taylor expansion of 2 in y 0.817 * [taylor]: Taking taylor expansion of (log x) in y 0.817 * [taylor]: Taking taylor expansion of x in y 0.824 * [taylor]: Taking taylor expansion of 0 in y 0.835 * [taylor]: Taking taylor expansion of 0 in y 0.850 * [taylor]: Taking taylor expansion of 0 in y 0.851 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3)) in (x y) around 0 0.851 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3)) in y 0.851 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.851 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.851 * [taylor]: Taking taylor expansion of -1 in y 0.852 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3) in y 0.852 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2)))))) in y 0.852 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2))))) in y 0.852 * [taylor]: Taking taylor expansion of 1/3 in y 0.852 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 2)))) in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.852 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.852 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.852 * [taylor]: Taking taylor expansion of x in y 0.852 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3)) in x 0.853 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.853 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.853 * [taylor]: Taking taylor expansion of -1 in x 0.854 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3) in x 0.854 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2)))))) in x 0.854 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2))))) in x 0.854 * [taylor]: Taking taylor expansion of 1/3 in x 0.854 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 2)))) in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.854 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.854 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.854 * [taylor]: Taking taylor expansion of y in x 0.855 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3)) in x 0.855 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.855 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.855 * [taylor]: Taking taylor expansion of -1 in x 0.856 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 2))) 1/3) in x 0.856 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2)))))) in x 0.856 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 2))))) in x 0.856 * [taylor]: Taking taylor expansion of 1/3 in x 0.856 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 2)))) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.856 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.856 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (* 2 (log x)))))) in y 0.859 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.859 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.859 * [taylor]: Taking taylor expansion of -1 in y 0.859 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (* 2 (log x))))) in y 0.859 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (* 2 (log x)))) in y 0.859 * [taylor]: Taking taylor expansion of 1/3 in y 0.859 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (* 2 (log x))) in y 0.859 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.860 * [taylor]: Taking taylor expansion of 2 in y 0.860 * [taylor]: Taking taylor expansion of (log x) in y 0.860 * [taylor]: Taking taylor expansion of x in y 0.867 * [taylor]: Taking taylor expansion of 0 in y 0.877 * [taylor]: Taking taylor expansion of 0 in y 0.898 * [taylor]: Taking taylor expansion of 0 in y 0.899 * * * [progress]: simplifying candidates 0.901 * [simplify]: Simplifying using # : (log (cbrt (- (* x y)))) (exp (cbrt (- (* x y)))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt 1) (cbrt (- (* x y))) (cbrt -1) (cbrt (* x y)) (cbrt (- x)) (cbrt y) (cbrt x) (cbrt (- y)) (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (* (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y)))) (log (cbrt (- (* x y)))) (exp (cbrt (- (* x y)))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt 1) (cbrt (- (* x y))) (cbrt -1) (cbrt (* x y)) (cbrt (- x)) (cbrt y) (cbrt x) (cbrt (- y)) (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (* (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y)))) (log (cbrt (- (* x y)))) (exp (cbrt (- (* x y)))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt 1) (cbrt (- (* x y))) (cbrt -1) (cbrt (* x y)) (cbrt (- x)) (cbrt y) (cbrt x) (cbrt (- y)) (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (* (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y)))) (+ 1/3 1/3) (+ 1 1) (* (- (* x y)) (- (* x y))) (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (+ 1 1) (+ (log (cbrt (- (* x y)))) (log (cbrt (- (* x y))))) (log (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (exp (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (* (- (* x y)) (- (* x y))) (* (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y)))))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (* (* (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (sqrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (sqrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (* (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y)))))) (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y))))) (* (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y))))) (* (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (* (cbrt -1) (cbrt -1)) (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt (- x)) (cbrt (- x))) (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)) (* (cbrt (- y)) (cbrt (- y))) (* (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y))))) (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y)))))) (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y))))) (* (sqrt (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y))))) (* (sqrt (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y))))) (* 1 1) (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (* (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y))))) (* (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y))))) (* (cbrt (sqrt (- (* x y)))) (sqrt (cbrt (- (* x y))))) (* (cbrt (sqrt (- (* x y)))) (sqrt (cbrt (- (* x y))))) (* (sqrt (cbrt (- (* x y)))) (cbrt (sqrt (- (* x y))))) (* (sqrt (cbrt (- (* x y)))) (cbrt (sqrt (- (* x y))))) (* (sqrt (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y))))) (* (sqrt (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y))))) (* 2 1/3) (* 2 1) (* (cbrt (- (* x y))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y)))))) (* (cbrt (- (* x y))) (cbrt (sqrt (- (* x y))))) (* (cbrt (- (* x y))) (cbrt 1)) (* (cbrt (- (* x y))) (cbrt -1)) (* (cbrt (- (* x y))) (cbrt (- x))) (* (cbrt (- (* x y))) (cbrt x)) (* (cbrt (- (* x y))) (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y)))))) (* (cbrt (- (* x y))) (sqrt (cbrt (- (* x y))))) (* (cbrt (- (* x y))) 1) (* (cbrt (cbrt (- (* x y)))) (cbrt (- (* x y)))) (* (cbrt (sqrt (- (* x y)))) (cbrt (- (* x y)))) (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (* (cbrt (* x y)) (cbrt (- (* x y)))) (* (cbrt y) (cbrt (- (* x y)))) (* (cbrt (- y)) (cbrt (- (* x y)))) (* (cbrt (cbrt (- (* x y)))) (cbrt (- (* x y)))) (* (sqrt (cbrt (- (* x y)))) (cbrt (- (* x y)))) (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (* (cbrt -1) (exp (* 1/3 (+ (log x) (log y))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y)))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x)))))) (* (cbrt -1) (exp (* 1/3 (+ (log x) (log y))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y)))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x)))))) (* (cbrt -1) (exp (* 1/3 (+ (log x) (log y))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y)))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x)))))) (* (pow (cbrt -1) 2) (exp (* 1/3 (+ (* 2 (log x)) (* 2 (log y)))))) (* (pow (cbrt -1) 2) (exp (* -1/3 (+ (* 2 (log (/ 1 x))) (* 2 (log (/ 1 y))))))) (* (pow (cbrt -1) 2) (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (* 2 (log (/ -1 x))))))) 0.901 * [simplify]: Sending expressions to egg_math: (log (cbrt (- (* h0 h1)))) (exp (cbrt (- (* h0 h1)))) (cbrt (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1))))) (cbrt (cbrt (- (* h0 h1)))) (cbrt (sqrt (- (* h0 h1)))) (cbrt (sqrt (- (* h0 h1)))) (cbrt 1) (cbrt (- (* h0 h1))) (cbrt -1) (cbrt (* h0 h1)) (cbrt (- h0)) (cbrt h1) (cbrt h0) (cbrt (- h1)) (* (cbrt (cbrt (- (* h0 h1)))) (cbrt (cbrt (- (* h0 h1))))) (cbrt (cbrt (- (* h0 h1)))) (* (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1)))) (cbrt (- (* h0 h1)))) (sqrt (cbrt (- (* h0 h1)))) (sqrt (cbrt (- (* h0 h1)))) (log (cbrt (- (* h0 h1)))) (exp (cbrt (- (* h0 h1)))) (cbrt (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1))))) (cbrt (cbrt (- (* h0 h1)))) (cbrt (sqrt (- (* h0 h1)))) (cbrt (sqrt (- (* h0 h1)))) (cbrt 1) (cbrt (- (* h0 h1))) (cbrt -1) (cbrt (* h0 h1)) (cbrt (- h0)) (cbrt h1) (cbrt h0) (cbrt (- h1)) (* (cbrt (cbrt (- (* h0 h1)))) (cbrt (cbrt (- (* h0 h1))))) (cbrt (cbrt (- (* h0 h1)))) (* (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1)))) (cbrt (- (* h0 h1)))) (sqrt (cbrt (- (* h0 h1)))) (sqrt (cbrt (- (* h0 h1)))) (log (cbrt (- (* h0 h1)))) (exp (cbrt (- (* h0 h1)))) (cbrt (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1))))) (cbrt (cbrt (- (* h0 h1)))) (cbrt (sqrt (- (* h0 h1)))) (cbrt (sqrt (- (* h0 h1)))) (cbrt 1) (cbrt (- (* h0 h1))) (cbrt -1) (cbrt (* h0 h1)) (cbrt (- h0)) (cbrt h1) (cbrt h0) (cbrt (- h1)) (* (cbrt (cbrt (- (* h0 h1)))) (cbrt (cbrt (- (* h0 h1))))) (cbrt (cbrt (- (* h0 h1)))) (* (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1)))) (cbrt (- (* h0 h1)))) (sqrt (cbrt (- (* h0 h1)))) (sqrt (cbrt (- (* h0 h1)))) (+ 1/3 1/3) (+ 1 1) (* (- (* h0 h1)) (- (* h0 h1))) (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1)))) (+ 1 1) (+ (log (cbrt (- (* h0 h1)))) (log (cbrt (- (* h0 h1))))) (log (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1))))) (exp (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1))))) (* (- (* h0 h1)) (- (* h0 h1))) (* (cbrt (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1))))) (cbrt (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1)))))) (cbrt (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1))))) (* (* (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1)))) (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1))))) (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1))))) (sqrt (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1))))) (sqrt (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1))))) (* (cbrt (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1))))) (cbrt (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1)))))) (* (cbrt (cbrt (- (* h0 h1)))) (cbrt (cbrt (- (* h0 h1))))) (* (cbrt (sqrt (- (* h0 h1)))) (cbrt (sqrt (- (* h0 h1))))) (* (cbrt (sqrt (- (* h0 h1)))) (cbrt (sqrt (- (* h0 h1))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1)))) (* (cbrt -1) (cbrt -1)) (* (cbrt (* h0 h1)) (cbrt (* h0 h1))) (* (cbrt (- h0)) (cbrt (- h0))) (* (cbrt h1) (cbrt h1)) (* (cbrt h0) (cbrt h0)) (* (cbrt (- h1)) (cbrt (- h1))) (* (* (cbrt (cbrt (- (* h0 h1)))) (cbrt (cbrt (- (* h0 h1))))) (* (cbrt (cbrt (- (* h0 h1)))) (cbrt (cbrt (- (* h0 h1)))))) (* (cbrt (cbrt (- (* h0 h1)))) (cbrt (cbrt (- (* h0 h1))))) (* (sqrt (cbrt (- (* h0 h1)))) (sqrt (cbrt (- (* h0 h1))))) (* (sqrt (cbrt (- (* h0 h1)))) (sqrt (cbrt (- (* h0 h1))))) (* 1 1) (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1)))) (* (cbrt (sqrt (- (* h0 h1)))) (cbrt (sqrt (- (* h0 h1))))) (* (cbrt (sqrt (- (* h0 h1)))) (cbrt (sqrt (- (* h0 h1))))) (* (cbrt (sqrt (- (* h0 h1)))) (sqrt (cbrt (- (* h0 h1))))) (* (cbrt (sqrt (- (* h0 h1)))) (sqrt (cbrt (- (* h0 h1))))) (* (sqrt (cbrt (- (* h0 h1)))) (cbrt (sqrt (- (* h0 h1))))) (* (sqrt (cbrt (- (* h0 h1)))) (cbrt (sqrt (- (* h0 h1))))) (* (sqrt (cbrt (- (* h0 h1)))) (sqrt (cbrt (- (* h0 h1))))) (* (sqrt (cbrt (- (* h0 h1)))) (sqrt (cbrt (- (* h0 h1))))) (* 2 1/3) (* 2 1) (* (cbrt (- (* h0 h1))) (cbrt (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1)))))) (* (cbrt (- (* h0 h1))) (cbrt (sqrt (- (* h0 h1))))) (* (cbrt (- (* h0 h1))) (cbrt 1)) (* (cbrt (- (* h0 h1))) (cbrt -1)) (* (cbrt (- (* h0 h1))) (cbrt (- h0))) (* (cbrt (- (* h0 h1))) (cbrt h0)) (* (cbrt (- (* h0 h1))) (* (cbrt (cbrt (- (* h0 h1)))) (cbrt (cbrt (- (* h0 h1)))))) (* (cbrt (- (* h0 h1))) (sqrt (cbrt (- (* h0 h1))))) (* (cbrt (- (* h0 h1))) 1) (* (cbrt (cbrt (- (* h0 h1)))) (cbrt (- (* h0 h1)))) (* (cbrt (sqrt (- (* h0 h1)))) (cbrt (- (* h0 h1)))) (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1)))) (* (cbrt (* h0 h1)) (cbrt (- (* h0 h1)))) (* (cbrt h1) (cbrt (- (* h0 h1)))) (* (cbrt (- h1)) (cbrt (- (* h0 h1)))) (* (cbrt (cbrt (- (* h0 h1)))) (cbrt (- (* h0 h1)))) (* (sqrt (cbrt (- (* h0 h1)))) (cbrt (- (* h0 h1)))) (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1)))) (* (cbrt -1) (exp (* 1/3 (+ (log h0) (log h1))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ 1 h0)) (log (/ 1 h1)))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ -1 h1)) (log (/ -1 h0)))))) (* (cbrt -1) (exp (* 1/3 (+ (log h0) (log h1))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ 1 h0)) (log (/ 1 h1)))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ -1 h1)) (log (/ -1 h0)))))) (* (cbrt -1) (exp (* 1/3 (+ (log h0) (log h1))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ 1 h0)) (log (/ 1 h1)))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ -1 h1)) (log (/ -1 h0)))))) (* (pow (cbrt -1) 2) (exp (* 1/3 (+ (* 2 (log h0)) (* 2 (log h1)))))) (* (pow (cbrt -1) 2) (exp (* -1/3 (+ (* 2 (log (/ 1 h0))) (* 2 (log (/ 1 h1))))))) (* (pow (cbrt -1) 2) (exp (* -1/3 (+ (* 2 (log (/ -1 h1))) (* 2 (log (/ -1 h0))))))) 0.905 * * [simplify]: iteration 0 : 232 enodes (cost 721 ) 0.910 * * [simplify]: iteration 1 : 806 enodes (cost 670 ) 0.929 * * [simplify]: iteration 2 : 4091 enodes (cost 596 ) 1.010 * * [simplify]: iteration 3 : 5002 enodes (cost 587 ) 1.013 * [simplify]: Simplified to: (log (cbrt (- (* x y)))) (exp (cbrt (- (* x y)))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) 1 (cbrt (- (* x y))) (cbrt -1) (cbrt (* x y)) (cbrt (- x)) (cbrt y) (cbrt x) (cbrt (- y)) (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (- (* x y)) (sqrt (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y)))) (log (cbrt (- (* x y)))) (exp (cbrt (- (* x y)))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) 1 (cbrt (- (* x y))) (cbrt -1) (cbrt (* x y)) (cbrt (- x)) (cbrt y) (cbrt x) (cbrt (- y)) (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (- (* x y)) (sqrt (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y)))) (log (cbrt (- (* x y)))) (exp (cbrt (- (* x y)))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) 1 (cbrt (- (* x y))) (cbrt -1) (cbrt (* x y)) (cbrt (- x)) (cbrt y) (cbrt x) (cbrt (- y)) (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (- (* x y)) (sqrt (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y)))) 2/3 2 (* (* x y) (* x y)) (pow (sqrt (cbrt (- (* x y)))) 4) 2 (* 2 (log (cbrt (- (* x y))))) (* 2 (log (cbrt (- (* x y))))) (pow (exp 1) (pow (sqrt (cbrt (- (* x y)))) 4)) (* (* x y) (* x y)) (* (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y)))))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (* (* x y) (* x y)) (fabs (cbrt (- (* x y)))) (fabs (cbrt (- (* x y)))) (* (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y)))))) (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y))))) (* (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y))))) (* (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y))))) 1 (pow (sqrt (cbrt (- (* x y)))) 4) (pow (cbrt -1) 2) (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt (- x)) (cbrt (- x))) (pow y 2/3) (pow x 2/3) (* (cbrt (- y)) (cbrt (- y))) (pow (cbrt (cbrt (- (* x y)))) 4) (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y))))) (cbrt (- (* x y))) (cbrt (- (* x y))) 1 (pow (sqrt (cbrt (- (* x y)))) 4) (* (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y))))) (* (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y))))) (* (cbrt (sqrt (- (* x y)))) (sqrt (cbrt (- (* x y))))) (* (cbrt (sqrt (- (* x y)))) (sqrt (cbrt (- (* x y))))) (* (cbrt (sqrt (- (* x y)))) (sqrt (cbrt (- (* x y))))) (* (cbrt (sqrt (- (* x y)))) (sqrt (cbrt (- (* x y))))) (cbrt (- (* x y))) (cbrt (- (* x y))) 2/3 2 (* (cbrt (- (* x y))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y)))))) (* (cbrt (- (* x y))) (cbrt (sqrt (- (* x y))))) (cbrt (- (* x y))) (* (cbrt (- (* x y))) (cbrt -1)) (* (cbrt (- (* x y))) (cbrt (- x))) (* (cbrt (- (* x y))) (cbrt x)) (pow (cbrt (cbrt (- (* x y)))) 5) (pow (sqrt (cbrt (- (* x y)))) 3) (cbrt (- (* x y))) (pow (cbrt (cbrt (- (* x y)))) 4) (* (cbrt (- (* x y))) (cbrt (sqrt (- (* x y))))) (pow (sqrt (cbrt (- (* x y)))) 4) (* (cbrt (* x y)) (cbrt (- (* x y)))) (* (cbrt y) (cbrt (- (* x y)))) (* (cbrt (- y)) (cbrt (- (* x y)))) (pow (cbrt (cbrt (- (* x y)))) 4) (pow (sqrt (cbrt (- (* x y)))) 3) (pow (sqrt (cbrt (- (* x y)))) 4) (* (* (cbrt -1) (pow x 1/3)) (pow y 1/3)) (* (* (cbrt -1) (pow (/ 1 x) -1/3)) (pow (/ 1 y) -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -1/3)) (pow (/ -1 x) -1/3)) (* (* (cbrt -1) (pow x 1/3)) (pow y 1/3)) (* (* (cbrt -1) (pow (/ 1 x) -1/3)) (pow (/ 1 y) -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -1/3)) (pow (/ -1 x) -1/3)) (* (* (cbrt -1) (pow x 1/3)) (pow y 1/3)) (* (* (cbrt -1) (pow (/ 1 x) -1/3)) (pow (/ 1 y) -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -1/3)) (pow (/ -1 x) -1/3)) (* (* (pow (cbrt -1) 2) (pow x 2/3)) (pow y 2/3)) (* (* (pow (cbrt -1) 2) (pow (/ 1 x) -2/3)) (pow (/ 1 y) -2/3)) (* (* (pow (cbrt -1) 2) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -2/3)) 1.014 * * * [progress]: adding candidates to table 1.285 * * [progress]: iteration 4 / 4 1.285 * * * [progress]: picking best candidate 1.296 * * * * [pick]: Picked # 1.296 * * * [progress]: localizing error 1.311 * * * [progress]: generating rewritten candidates 1.311 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 1.313 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1) 1.315 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.316 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 1.318 * * * [progress]: generating series expansions 1.318 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 1.319 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in (x y) around 0 1.319 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in y 1.319 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.319 * [taylor]: Taking taylor expansion of -1 in y 1.320 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in y 1.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in y 1.320 * [taylor]: Taking taylor expansion of 1/3 in y 1.320 * [taylor]: Taking taylor expansion of (log (* x y)) in y 1.320 * [taylor]: Taking taylor expansion of (* x y) in y 1.320 * [taylor]: Taking taylor expansion of x in y 1.320 * [taylor]: Taking taylor expansion of y in y 1.321 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in x 1.321 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.321 * [taylor]: Taking taylor expansion of -1 in x 1.321 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 1.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 1.321 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 1.321 * [taylor]: Taking taylor expansion of 1/3 in x 1.321 * [taylor]: Taking taylor expansion of (log (* x y)) in x 1.321 * [taylor]: Taking taylor expansion of (* x y) in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.322 * [taylor]: Taking taylor expansion of y in x 1.322 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in x 1.322 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.322 * [taylor]: Taking taylor expansion of -1 in x 1.323 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 1.323 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 1.323 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 1.323 * [taylor]: Taking taylor expansion of 1/3 in x 1.323 * [taylor]: Taking taylor expansion of (log (* x y)) in x 1.323 * [taylor]: Taking taylor expansion of (* x y) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.323 * [taylor]: Taking taylor expansion of y in x 1.324 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (+ (log x) (log y))))) in y 1.324 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.324 * [taylor]: Taking taylor expansion of -1 in y 1.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log y)))) in y 1.325 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log y))) in y 1.325 * [taylor]: Taking taylor expansion of 1/3 in y 1.325 * [taylor]: Taking taylor expansion of (+ (log x) (log y)) in y 1.325 * [taylor]: Taking taylor expansion of (log x) in y 1.325 * [taylor]: Taking taylor expansion of x in y 1.325 * [taylor]: Taking taylor expansion of (log y) in y 1.325 * [taylor]: Taking taylor expansion of y in y 1.329 * [taylor]: Taking taylor expansion of 0 in y 1.336 * [taylor]: Taking taylor expansion of 0 in y 1.351 * [taylor]: Taking taylor expansion of 0 in y 1.351 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in (x y) around 0 1.351 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in y 1.351 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.351 * [taylor]: Taking taylor expansion of -1 in y 1.352 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.352 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 1.352 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 1.352 * [taylor]: Taking taylor expansion of 1/3 in y 1.352 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 1.352 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.352 * [taylor]: Taking taylor expansion of (* x y) in y 1.352 * [taylor]: Taking taylor expansion of x in y 1.352 * [taylor]: Taking taylor expansion of y in y 1.353 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 1.353 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.353 * [taylor]: Taking taylor expansion of -1 in x 1.354 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.354 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.354 * [taylor]: Taking taylor expansion of 1/3 in x 1.354 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.354 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.354 * [taylor]: Taking taylor expansion of (* x y) in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of y in x 1.355 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 1.355 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.355 * [taylor]: Taking taylor expansion of -1 in x 1.355 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.355 * [taylor]: Taking taylor expansion of 1/3 in x 1.355 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.355 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.355 * [taylor]: Taking taylor expansion of (* x y) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.356 * [taylor]: Taking taylor expansion of y in x 1.357 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 y)) (log x))))) in y 1.357 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.357 * [taylor]: Taking taylor expansion of -1 in y 1.358 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 1.358 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 1.358 * [taylor]: Taking taylor expansion of 1/3 in y 1.358 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 1.358 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.358 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.358 * [taylor]: Taking taylor expansion of y in y 1.358 * [taylor]: Taking taylor expansion of (log x) in y 1.358 * [taylor]: Taking taylor expansion of x in y 1.362 * [taylor]: Taking taylor expansion of 0 in y 1.369 * [taylor]: Taking taylor expansion of 0 in y 1.381 * [taylor]: Taking taylor expansion of 0 in y 1.382 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in (x y) around 0 1.382 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in y 1.382 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.382 * [taylor]: Taking taylor expansion of -1 in y 1.383 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 1.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 1.383 * [taylor]: Taking taylor expansion of 1/3 in y 1.383 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 1.383 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.383 * [taylor]: Taking taylor expansion of (* x y) in y 1.383 * [taylor]: Taking taylor expansion of x in y 1.383 * [taylor]: Taking taylor expansion of y in y 1.384 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 1.384 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.384 * [taylor]: Taking taylor expansion of -1 in x 1.384 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.384 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.384 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.384 * [taylor]: Taking taylor expansion of 1/3 in x 1.384 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.384 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.384 * [taylor]: Taking taylor expansion of (* x y) in x 1.384 * [taylor]: Taking taylor expansion of x in x 1.384 * [taylor]: Taking taylor expansion of y in x 1.385 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 1.385 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.385 * [taylor]: Taking taylor expansion of -1 in x 1.386 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.386 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.386 * [taylor]: Taking taylor expansion of 1/3 in x 1.386 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.386 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.386 * [taylor]: Taking taylor expansion of (* x y) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of y in x 1.387 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 y)) (log x))))) in y 1.387 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.387 * [taylor]: Taking taylor expansion of -1 in y 1.388 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 1.388 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 1.388 * [taylor]: Taking taylor expansion of 1/3 in y 1.388 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 1.388 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.388 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.388 * [taylor]: Taking taylor expansion of y in y 1.388 * [taylor]: Taking taylor expansion of (log x) in y 1.388 * [taylor]: Taking taylor expansion of x in y 1.392 * [taylor]: Taking taylor expansion of 0 in y 1.399 * [taylor]: Taking taylor expansion of 0 in y 1.411 * [taylor]: Taking taylor expansion of 0 in y 1.412 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1) 1.412 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in (x y) around 0 1.412 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in y 1.412 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.412 * [taylor]: Taking taylor expansion of -1 in y 1.413 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in y 1.413 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in y 1.413 * [taylor]: Taking taylor expansion of 1/3 in y 1.413 * [taylor]: Taking taylor expansion of (log (* x y)) in y 1.413 * [taylor]: Taking taylor expansion of (* x y) in y 1.413 * [taylor]: Taking taylor expansion of x in y 1.413 * [taylor]: Taking taylor expansion of y in y 1.413 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in x 1.413 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.413 * [taylor]: Taking taylor expansion of -1 in x 1.414 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 1.414 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 1.414 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 1.414 * [taylor]: Taking taylor expansion of 1/3 in x 1.414 * [taylor]: Taking taylor expansion of (log (* x y)) in x 1.414 * [taylor]: Taking taylor expansion of (* x y) in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.414 * [taylor]: Taking taylor expansion of y in x 1.415 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* x y) 1/3)) in x 1.415 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.415 * [taylor]: Taking taylor expansion of -1 in x 1.416 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 1.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 1.416 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 1.416 * [taylor]: Taking taylor expansion of 1/3 in x 1.416 * [taylor]: Taking taylor expansion of (log (* x y)) in x 1.416 * [taylor]: Taking taylor expansion of (* x y) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.417 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (+ (log x) (log y))))) in y 1.417 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.417 * [taylor]: Taking taylor expansion of -1 in y 1.417 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log y)))) in y 1.417 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log y))) in y 1.417 * [taylor]: Taking taylor expansion of 1/3 in y 1.418 * [taylor]: Taking taylor expansion of (+ (log x) (log y)) in y 1.418 * [taylor]: Taking taylor expansion of (log x) in y 1.418 * [taylor]: Taking taylor expansion of x in y 1.418 * [taylor]: Taking taylor expansion of (log y) in y 1.418 * [taylor]: Taking taylor expansion of y in y 1.421 * [taylor]: Taking taylor expansion of 0 in y 1.428 * [taylor]: Taking taylor expansion of 0 in y 1.445 * [taylor]: Taking taylor expansion of 0 in y 1.446 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in (x y) around 0 1.446 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in y 1.446 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.446 * [taylor]: Taking taylor expansion of -1 in y 1.446 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.446 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 1.446 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 1.446 * [taylor]: Taking taylor expansion of 1/3 in y 1.446 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 1.446 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.446 * [taylor]: Taking taylor expansion of (* x y) in y 1.446 * [taylor]: Taking taylor expansion of x in y 1.446 * [taylor]: Taking taylor expansion of y in y 1.447 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 1.447 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.447 * [taylor]: Taking taylor expansion of -1 in x 1.448 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.448 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.448 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.448 * [taylor]: Taking taylor expansion of 1/3 in x 1.448 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.448 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.448 * [taylor]: Taking taylor expansion of (* x y) in x 1.448 * [taylor]: Taking taylor expansion of x in x 1.448 * [taylor]: Taking taylor expansion of y in x 1.449 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 1.449 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.449 * [taylor]: Taking taylor expansion of -1 in x 1.449 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.449 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.449 * [taylor]: Taking taylor expansion of 1/3 in x 1.449 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.449 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.449 * [taylor]: Taking taylor expansion of (* x y) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of y in x 1.451 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 y)) (log x))))) in y 1.451 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.451 * [taylor]: Taking taylor expansion of -1 in y 1.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 1.451 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 1.451 * [taylor]: Taking taylor expansion of 1/3 in y 1.451 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 1.451 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.451 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.451 * [taylor]: Taking taylor expansion of y in y 1.452 * [taylor]: Taking taylor expansion of (log x) in y 1.452 * [taylor]: Taking taylor expansion of x in y 1.455 * [taylor]: Taking taylor expansion of 0 in y 1.463 * [taylor]: Taking taylor expansion of 0 in y 1.475 * [taylor]: Taking taylor expansion of 0 in y 1.475 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in (x y) around 0 1.475 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in y 1.476 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.476 * [taylor]: Taking taylor expansion of -1 in y 1.476 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 1.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 1.476 * [taylor]: Taking taylor expansion of 1/3 in y 1.476 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 1.476 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.476 * [taylor]: Taking taylor expansion of (* x y) in y 1.476 * [taylor]: Taking taylor expansion of x in y 1.476 * [taylor]: Taking taylor expansion of y in y 1.477 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 1.477 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.477 * [taylor]: Taking taylor expansion of -1 in x 1.478 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.478 * [taylor]: Taking taylor expansion of 1/3 in x 1.478 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.478 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.478 * [taylor]: Taking taylor expansion of (* x y) in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of y in x 1.479 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x y)) 1/3)) in x 1.479 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.479 * [taylor]: Taking taylor expansion of -1 in x 1.479 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.479 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.479 * [taylor]: Taking taylor expansion of 1/3 in x 1.479 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.479 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.479 * [taylor]: Taking taylor expansion of (* x y) in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.479 * [taylor]: Taking taylor expansion of y in x 1.481 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 y)) (log x))))) in y 1.481 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.481 * [taylor]: Taking taylor expansion of -1 in y 1.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 1.481 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 1.481 * [taylor]: Taking taylor expansion of 1/3 in y 1.481 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 1.481 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.481 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.481 * [taylor]: Taking taylor expansion of y in y 1.482 * [taylor]: Taking taylor expansion of (log x) in y 1.482 * [taylor]: Taking taylor expansion of x in y 1.485 * [taylor]: Taking taylor expansion of 0 in y 1.493 * [taylor]: Taking taylor expansion of 0 in y 1.504 * [taylor]: Taking taylor expansion of 0 in y 1.505 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.505 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.505 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.505 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.505 * [taylor]: Taking taylor expansion of 1/3 in x 1.505 * [taylor]: Taking taylor expansion of (log x) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.506 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.506 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.506 * [taylor]: Taking taylor expansion of 1/3 in x 1.506 * [taylor]: Taking taylor expansion of (log x) in x 1.506 * [taylor]: Taking taylor expansion of x in x 1.558 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.558 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.558 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.559 * [taylor]: Taking taylor expansion of 1/3 in x 1.559 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.559 * [taylor]: Taking taylor expansion of 1/3 in x 1.559 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.616 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.616 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.616 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.616 * [taylor]: Taking taylor expansion of -1 in x 1.617 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.617 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.617 * [taylor]: Taking taylor expansion of 1/3 in x 1.617 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.617 * [taylor]: Taking taylor expansion of x in x 1.618 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.618 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.618 * [taylor]: Taking taylor expansion of -1 in x 1.618 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.618 * [taylor]: Taking taylor expansion of 1/3 in x 1.618 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.618 * [taylor]: Taking taylor expansion of x in x 1.679 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 1.679 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow y 1/3)) in (y) around 0 1.679 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow y 1/3)) in y 1.679 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.679 * [taylor]: Taking taylor expansion of -1 in y 1.679 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.680 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.680 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.680 * [taylor]: Taking taylor expansion of 1/3 in y 1.680 * [taylor]: Taking taylor expansion of (log y) in y 1.680 * [taylor]: Taking taylor expansion of y in y 1.680 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow y 1/3)) in y 1.680 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.680 * [taylor]: Taking taylor expansion of -1 in y 1.681 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.681 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.681 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.681 * [taylor]: Taking taylor expansion of 1/3 in y 1.681 * [taylor]: Taking taylor expansion of (log y) in y 1.681 * [taylor]: Taking taylor expansion of y in y 1.743 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.743 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.743 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.743 * [taylor]: Taking taylor expansion of -1 in y 1.744 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.744 * [taylor]: Taking taylor expansion of 1/3 in y 1.744 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.744 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.744 * [taylor]: Taking taylor expansion of y in y 1.745 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.745 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.745 * [taylor]: Taking taylor expansion of -1 in y 1.745 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.745 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.745 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.745 * [taylor]: Taking taylor expansion of 1/3 in y 1.745 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.745 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.745 * [taylor]: Taking taylor expansion of y in y 1.811 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.811 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.811 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.811 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.811 * [taylor]: Taking taylor expansion of 1/3 in y 1.811 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.811 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.811 * [taylor]: Taking taylor expansion of y in y 1.812 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.812 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.812 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.812 * [taylor]: Taking taylor expansion of 1/3 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 1.869 * * * [progress]: simplifying candidates 1.870 * [simplify]: Simplifying using # : (log (cbrt (- (* x y)))) (exp (cbrt (- (* x y)))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt 1) (cbrt (- (* x y))) (cbrt -1) (cbrt (* x y)) (cbrt (- x)) (cbrt y) (cbrt x) (cbrt (- y)) (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (* (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y)))) (log (cbrt (- (* x y)))) (exp (cbrt (- (* x y)))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt 1) (cbrt (- (* x y))) (cbrt -1) (cbrt (* x y)) (cbrt (- x)) (cbrt y) (cbrt x) (cbrt (- y)) (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (* (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y)))) (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 (- y))) (exp (cbrt (- y))) (cbrt (* (cbrt (- y)) (cbrt (- y)))) (cbrt (cbrt (- y))) (cbrt (sqrt (- y))) (cbrt (sqrt (- y))) (cbrt 1) (cbrt (- y)) (cbrt -1) (cbrt y) (cbrt (- (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (- (sqrt y))) (cbrt (sqrt y)) (cbrt (- 1)) (cbrt y) (cbrt (* (cbrt y) (cbrt y))) (cbrt (- (cbrt y))) (cbrt (sqrt y)) (cbrt (- (sqrt y))) (cbrt 1) (cbrt (- y)) (* (cbrt (cbrt (- y))) (cbrt (cbrt (- y)))) (cbrt (cbrt (- y))) (* (* (cbrt (- y)) (cbrt (- y))) (cbrt (- y))) (sqrt (cbrt (- y))) (sqrt (cbrt (- y))) (* (cbrt -1) (exp (* 1/3 (+ (log x) (log y))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y)))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x)))))) (* (cbrt -1) (exp (* 1/3 (+ (log x) (log y))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y)))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x)))))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (* (cbrt -1) (pow y 1/3)) (* (cbrt -1) (pow y 1/3)) (pow (/ -1 y) -1/3) 1.871 * [simplify]: Sending expressions to egg_math: (log (cbrt (- (* h0 h1)))) (exp (cbrt (- (* h0 h1)))) (cbrt (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1))))) (cbrt (cbrt (- (* h0 h1)))) (cbrt (sqrt (- (* h0 h1)))) (cbrt (sqrt (- (* h0 h1)))) (cbrt 1) (cbrt (- (* h0 h1))) (cbrt -1) (cbrt (* h0 h1)) (cbrt (- h0)) (cbrt h1) (cbrt h0) (cbrt (- h1)) (* (cbrt (cbrt (- (* h0 h1)))) (cbrt (cbrt (- (* h0 h1))))) (cbrt (cbrt (- (* h0 h1)))) (* (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1)))) (cbrt (- (* h0 h1)))) (sqrt (cbrt (- (* h0 h1)))) (sqrt (cbrt (- (* h0 h1)))) (log (cbrt (- (* h0 h1)))) (exp (cbrt (- (* h0 h1)))) (cbrt (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1))))) (cbrt (cbrt (- (* h0 h1)))) (cbrt (sqrt (- (* h0 h1)))) (cbrt (sqrt (- (* h0 h1)))) (cbrt 1) (cbrt (- (* h0 h1))) (cbrt -1) (cbrt (* h0 h1)) (cbrt (- h0)) (cbrt h1) (cbrt h0) (cbrt (- h1)) (* (cbrt (cbrt (- (* h0 h1)))) (cbrt (cbrt (- (* h0 h1))))) (cbrt (cbrt (- (* h0 h1)))) (* (* (cbrt (- (* h0 h1))) (cbrt (- (* h0 h1)))) (cbrt (- (* h0 h1)))) (sqrt (cbrt (- (* h0 h1)))) (sqrt (cbrt (- (* h0 h1)))) (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 (- h1))) (exp (cbrt (- h1))) (cbrt (* (cbrt (- h1)) (cbrt (- h1)))) (cbrt (cbrt (- h1))) (cbrt (sqrt (- h1))) (cbrt (sqrt (- h1))) (cbrt 1) (cbrt (- h1)) (cbrt -1) (cbrt h1) (cbrt (- (* (cbrt h1) (cbrt h1)))) (cbrt (cbrt h1)) (cbrt (- (sqrt h1))) (cbrt (sqrt h1)) (cbrt (- 1)) (cbrt h1) (cbrt (* (cbrt h1) (cbrt h1))) (cbrt (- (cbrt h1))) (cbrt (sqrt h1)) (cbrt (- (sqrt h1))) (cbrt 1) (cbrt (- h1)) (* (cbrt (cbrt (- h1))) (cbrt (cbrt (- h1)))) (cbrt (cbrt (- h1))) (* (* (cbrt (- h1)) (cbrt (- h1))) (cbrt (- h1))) (sqrt (cbrt (- h1))) (sqrt (cbrt (- h1))) (* (cbrt -1) (exp (* 1/3 (+ (log h0) (log h1))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ 1 h0)) (log (/ 1 h1)))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ -1 h1)) (log (/ -1 h0)))))) (* (cbrt -1) (exp (* 1/3 (+ (log h0) (log h1))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ 1 h0)) (log (/ 1 h1)))))) (* (cbrt -1) (exp (* -1/3 (+ (log (/ -1 h1)) (log (/ -1 h0)))))) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (* (cbrt -1) (pow h1 1/3)) (* (cbrt -1) (pow h1 1/3)) (pow (/ -1 h1) -1/3) 1.874 * * [simplify]: iteration 0 : 158 enodes (cost 323 ) 1.877 * * [simplify]: iteration 1 : 304 enodes (cost 301 ) 1.881 * * [simplify]: iteration 2 : 819 enodes (cost 281 ) 1.894 * * [simplify]: iteration 3 : 2851 enodes (cost 281 ) 1.941 * * [simplify]: iteration 4 : 5002 enodes (cost 279 ) 1.943 * [simplify]: Simplified to: (log (cbrt (- (* x y)))) (exp (cbrt (- (* x y)))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt 1) (cbrt (- (* x y))) (cbrt -1) (cbrt (* x y)) (pow (* -1 x) 1/3) (pow y 1/3) (pow x 1/3) (cbrt (- y)) (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (- (* x y)) (sqrt (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y)))) (log (cbrt (- (* x y)))) (exp (cbrt (- (* x y)))) (cbrt (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt (sqrt (- (* x y)))) (cbrt 1) (cbrt (- (* x y))) (cbrt -1) (cbrt (* x y)) (pow (* -1 x) 1/3) (pow y 1/3) (pow x 1/3) (cbrt (- y)) (* (cbrt (cbrt (- (* x y)))) (cbrt (cbrt (- (* x y))))) (cbrt (cbrt (- (* x y)))) (- (* x y)) (sqrt (cbrt (- (* x y)))) (sqrt (cbrt (- (* x y)))) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (pow x 1/6) (pow x 1/6) (log (cbrt (- y))) (exp (cbrt (- y))) (cbrt (* (cbrt (- y)) (cbrt (- y)))) (cbrt (cbrt (- y))) (cbrt (sqrt (- y))) (cbrt (sqrt (- y))) (cbrt 1) (cbrt (- y)) (cbrt -1) (pow y 1/3) (cbrt (- (* (cbrt y) (cbrt y)))) (cbrt (cbrt y)) (cbrt (- (sqrt y))) (cbrt (sqrt y)) (cbrt (- 1)) (pow y 1/3) (cbrt (* (cbrt y) (cbrt y))) (cbrt (- (cbrt y))) (cbrt (sqrt y)) (cbrt (- (sqrt y))) (cbrt 1) (cbrt (- y)) (* (cbrt (cbrt (- y))) (cbrt (cbrt (- y)))) (cbrt (cbrt (- y))) (- y) (sqrt (cbrt (- y))) (sqrt (cbrt (- y))) (* (* (cbrt -1) (pow x 1/3)) (pow y 1/3)) (* (* (cbrt -1) (pow (/ 1 x) -1/3)) (pow (/ 1 y) -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -1/3)) (pow (/ -1 x) -1/3)) (* (* (cbrt -1) (pow x 1/3)) (pow y 1/3)) (* (* (cbrt -1) (pow (/ 1 x) -1/3)) (pow (/ 1 y) -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -1/3)) (pow (/ -1 x) -1/3)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (* (cbrt -1) (pow y 1/3)) (* (cbrt -1) (pow y 1/3)) (pow (/ -1 y) -1/3) 1.943 * * * [progress]: adding candidates to table 2.187 * [progress]: [Phase 3 of 3] Extracting. 2.187 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.190 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.190 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 2.221 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 2.251 * * * [regime]: Found split indices: #