6.699 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (* (* x y) y) 0.014 * [simplify]: Sending expressions to egg_math: (* (* h0 h1) h1) 0.017 * * [simplify]: iteration 0 : 8 enodes (cost 2 ) 0.018 * * [simplify]: iteration 1 : 9 enodes (cost 2 ) 0.019 * * [simplify]: iteration 2 : 9 enodes (cost 2 ) 0.019 * [simplify]: Simplified to: (* (* x y) y) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.041 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.045 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.045 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.046 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.056 * [taylor]: Taking taylor expansion of -1 in y 0.056 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.057 * [taylor]: Taking taylor expansion of -1 in x 0.057 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.057 * [taylor]: Taking taylor expansion of -1 in x 0.057 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of -1 in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * * * [progress]: simplifying candidates 0.071 * [simplify]: Simplifying using # : (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) 0.072 * [simplify]: Sending expressions to egg_math: (expm1 (* (* h0 h1) h1)) (log1p (* (* h0 h1) h1)) (* (* h0 h1) h1) (* (* h0 h1) h1) (+ (+ (log h0) (log h1)) (log h1)) (+ (log (* h0 h1)) (log h1)) (log (* (* h0 h1) h1)) (exp (* (* h0 h1) h1)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h1 h1) h1)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h1 h1) h1)) (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (cbrt (* (* h0 h1) h1)) (* (* (* (* h0 h1) h1) (* (* h0 h1) h1)) (* (* h0 h1) h1)) (sqrt (* (* h0 h1) h1)) (sqrt (* (* h0 h1) h1)) (* (* h0 h1) (* (cbrt h1) (cbrt h1))) (* (* h0 h1) (sqrt h1)) (* (* h0 h1) 1) (* h1 h1) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) 0.074 * * [simplify]: iteration 0 : 97 enodes (cost 78 ) 0.078 * * [simplify]: iteration 1 : 468 enodes (cost 63 ) 0.089 * * [simplify]: iteration 2 : 2089 enodes (cost 63 ) 0.127 * * [simplify]: iteration 3 : 5001 enodes (cost 62 ) 0.128 * [simplify]: Simplified to: (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* x (pow y 3/2)) (* x y) (pow y 2) (* (* x y) y) (* (* x y) y) (* (* x y) y) 0.128 * * * [progress]: adding candidates to table 0.155 * * [progress]: iteration 2 / 4 0.155 * * * [progress]: picking best candidate 0.162 * * * * [pick]: Picked # 0.162 * * * [progress]: localizing error 0.169 * * * [progress]: generating rewritten candidates 0.170 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.185 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.198 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.211 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.240 * * * [progress]: generating series expansions 0.240 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.240 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.240 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.240 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.241 * [taylor]: Taking taylor expansion of 1/3 in y 0.241 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.241 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.241 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.242 * [taylor]: Taking taylor expansion of 1/3 in x 0.242 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.242 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.243 * [taylor]: Taking taylor expansion of 1/3 in x 0.243 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.243 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.244 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.244 * [taylor]: Taking taylor expansion of 1/3 in y 0.244 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.244 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of (log x) in y 0.244 * [taylor]: Taking taylor expansion of x in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.264 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.264 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.264 * [taylor]: Taking taylor expansion of 1/3 in y 0.264 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.264 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.265 * [taylor]: Taking taylor expansion of 1/3 in x 0.265 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.265 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.266 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.266 * [taylor]: Taking taylor expansion of 1/3 in x 0.266 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.266 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.267 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.267 * [taylor]: Taking taylor expansion of 1/3 in y 0.268 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.268 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (log x) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.290 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.290 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.290 * [taylor]: Taking taylor expansion of -1 in y 0.291 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.291 * [taylor]: Taking taylor expansion of 1/3 in y 0.291 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.291 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.291 * [taylor]: Taking taylor expansion of x in y 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.292 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.292 * [taylor]: Taking taylor expansion of -1 in x 0.292 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.292 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.293 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.293 * [taylor]: Taking taylor expansion of 1/3 in x 0.293 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.293 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.294 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.294 * [taylor]: Taking taylor expansion of -1 in x 0.294 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.295 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.295 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.295 * [taylor]: Taking taylor expansion of 1/3 in x 0.295 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.295 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.296 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.296 * [taylor]: Taking taylor expansion of -1 in y 0.297 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.297 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.297 * [taylor]: Taking taylor expansion of 1/3 in y 0.297 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.297 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of (log x) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.302 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.325 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.325 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.325 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.325 * [taylor]: Taking taylor expansion of 1/3 in y 0.325 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.325 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.326 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.326 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.326 * [taylor]: Taking taylor expansion of 1/3 in x 0.326 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.326 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.327 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.327 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.327 * [taylor]: Taking taylor expansion of 1/3 in x 0.327 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.327 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.328 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.328 * [taylor]: Taking taylor expansion of 1/3 in y 0.328 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.328 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of (log x) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.353 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.353 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.353 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.353 * [taylor]: Taking taylor expansion of 1/3 in y 0.353 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.353 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.354 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.354 * [taylor]: Taking taylor expansion of 1/3 in x 0.354 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.354 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.355 * [taylor]: Taking taylor expansion of 1/3 in x 0.355 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.355 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.356 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.356 * [taylor]: Taking taylor expansion of 1/3 in y 0.356 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.356 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of (log x) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.378 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.378 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.378 * [taylor]: Taking taylor expansion of -1 in y 0.379 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.379 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.379 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.379 * [taylor]: Taking taylor expansion of 1/3 in y 0.379 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.379 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.380 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.380 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.380 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.380 * [taylor]: Taking taylor expansion of 1/3 in x 0.380 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.380 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.382 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.382 * [taylor]: Taking taylor expansion of -1 in x 0.382 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.382 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.382 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.382 * [taylor]: Taking taylor expansion of 1/3 in x 0.382 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.382 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.384 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.384 * [taylor]: Taking taylor expansion of -1 in y 0.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.385 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.385 * [taylor]: Taking taylor expansion of 1/3 in y 0.385 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.385 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of (log x) in y 0.385 * [taylor]: Taking taylor expansion of x in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.412 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.412 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.412 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.412 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.412 * [taylor]: Taking taylor expansion of 1/3 in y 0.412 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.412 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.412 * [taylor]: Taking taylor expansion of x in y 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.413 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.413 * [taylor]: Taking taylor expansion of 1/3 in x 0.413 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.413 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.414 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.414 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.414 * [taylor]: Taking taylor expansion of 1/3 in x 0.414 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.414 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.415 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.415 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.415 * [taylor]: Taking taylor expansion of 1/3 in y 0.415 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.415 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of (log x) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.441 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.441 * [taylor]: Taking taylor expansion of 1/3 in y 0.441 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.441 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.442 * [taylor]: Taking taylor expansion of 1/3 in x 0.442 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.442 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.443 * [taylor]: Taking taylor expansion of 1/3 in x 0.443 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.443 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.444 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.444 * [taylor]: Taking taylor expansion of 1/3 in y 0.444 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.444 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of (log x) in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.455 * [taylor]: Taking taylor expansion of 0 in y 0.465 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.466 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.466 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.466 * [taylor]: Taking taylor expansion of -1 in y 0.466 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.466 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.466 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.466 * [taylor]: Taking taylor expansion of 1/3 in y 0.466 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.466 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.466 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.466 * [taylor]: Taking taylor expansion of x in y 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.467 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.467 * [taylor]: Taking taylor expansion of -1 in x 0.468 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.468 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.468 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.468 * [taylor]: Taking taylor expansion of 1/3 in x 0.468 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.468 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.469 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.469 * [taylor]: Taking taylor expansion of -1 in x 0.470 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.470 * [taylor]: Taking taylor expansion of 1/3 in x 0.470 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.470 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.472 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.472 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.472 * [taylor]: Taking taylor expansion of -1 in y 0.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.472 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.472 * [taylor]: Taking taylor expansion of 1/3 in y 0.472 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.472 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (log x) in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.500 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.500 * [approximate]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in (x y) around 0 0.500 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in y 0.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in y 0.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in y 0.500 * [taylor]: Taking taylor expansion of 1/3 in y 0.500 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in y 0.500 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.501 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in x 0.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in x 0.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in x 0.501 * [taylor]: Taking taylor expansion of 1/3 in x 0.501 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in x 0.501 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in x 0.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in x 0.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in x 0.502 * [taylor]: Taking taylor expansion of 1/3 in x 0.502 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in x 0.502 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (pow y 4))))) in y 0.503 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (pow y 4)))) in y 0.503 * [taylor]: Taking taylor expansion of 1/3 in y 0.503 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (pow y 4))) in y 0.503 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.503 * [taylor]: Taking taylor expansion of 2 in y 0.503 * [taylor]: Taking taylor expansion of (log x) in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.503 * [taylor]: Taking taylor expansion of (log (pow y 4)) in y 0.503 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.530 * [taylor]: Taking taylor expansion of 0 in y 0.530 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in (x y) around 0 0.530 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in y 0.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in y 0.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in y 0.531 * [taylor]: Taking taylor expansion of 1/3 in y 0.531 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in y 0.531 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in y 0.531 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.531 * [taylor]: Taking taylor expansion of x in y 0.531 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.532 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.532 * [taylor]: Taking taylor expansion of 1/3 in x 0.532 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.532 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.532 * [taylor]: Taking taylor expansion of y in x 0.533 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.533 * [taylor]: Taking taylor expansion of 1/3 in x 0.533 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.533 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.533 * [taylor]: Taking taylor expansion of y in x 0.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x))))) in y 0.534 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))) in y 0.534 * [taylor]: Taking taylor expansion of 1/3 in y 0.534 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 4))) (* 2 (log x))) in y 0.535 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.535 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.535 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.535 * [taylor]: Taking taylor expansion of 2 in y 0.535 * [taylor]: Taking taylor expansion of (log x) in y 0.535 * [taylor]: Taking taylor expansion of x in y 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.547 * [taylor]: Taking taylor expansion of 0 in y 0.559 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in (x y) around 0 0.560 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in y 0.560 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.560 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.560 * [taylor]: Taking taylor expansion of -1 in y 0.561 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in y 0.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in y 0.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in y 0.561 * [taylor]: Taking taylor expansion of 1/3 in y 0.561 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in y 0.561 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.561 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in x 0.562 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.562 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.562 * [taylor]: Taking taylor expansion of -1 in x 0.563 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.563 * [taylor]: Taking taylor expansion of 1/3 in x 0.563 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.563 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.563 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in x 0.564 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.564 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.565 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.565 * [taylor]: Taking taylor expansion of 1/3 in x 0.565 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.565 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))))) in y 0.568 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.568 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.568 * [taylor]: Taking taylor expansion of -1 in y 0.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x))))) in y 0.568 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))) in y 0.568 * [taylor]: Taking taylor expansion of 1/3 in y 0.568 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 4))) (* 2 (log x))) in y 0.568 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.568 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.569 * [taylor]: Taking taylor expansion of 2 in y 0.569 * [taylor]: Taking taylor expansion of (log x) in y 0.569 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.587 * [taylor]: Taking taylor expansion of 0 in y 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.604 * * * [progress]: simplifying candidates 0.606 * [simplify]: Simplifying using # : (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (log1p (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (+ 1/3 1/3) (+ 1 1) (* (* (* x y) y) (* (* x y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (+ 1 1) (+ (log (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y)))) (log (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (exp (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (* (* (* x y) y) (* (* x y) y)) (* (cbrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (cbrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))))) (cbrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (* (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (sqrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (sqrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y))))) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (* (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y)))) (* (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y)))) (* 1 1) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (* (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y)))) (* (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y)))) (* 2 1/3) (* 2 1) (* (cbrt (* (* x y) y)) (cbrt (* x y))) (* (cbrt (* (* x y) y)) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y))))) (* (cbrt (* (* x y) y)) (sqrt (cbrt (* (* x y) y)))) (* (cbrt (* (* x y) y)) 1) (* (cbrt y) (cbrt (* (* x y) y))) (* (cbrt (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (* (sqrt (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (exp (* 1/3 (+ (log x) (* 2 (log y))))) (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (+ (log x) (* 2 (log y))))) (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (+ (log x) (* 2 (log y))))) (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (+ (* 2 (log x)) (* 4 (log y))))) (exp (* -1/3 (+ (* 2 (log (/ 1 x))) (* 4 (log (/ 1 y)))))) (* (pow (cbrt -1) 2) (exp (* -1/3 (+ (* 4 (log (/ -1 y))) (* 2 (log (/ -1 x))))))) 0.611 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt (* (* h0 h1) h1))) (log1p (cbrt (* (* h0 h1) h1))) (log (cbrt (* (* h0 h1) h1))) (exp (cbrt (* (* h0 h1) h1))) (cbrt (* h0 h1)) (cbrt h1) (* (cbrt (cbrt (* (* h0 h1) h1))) (cbrt (cbrt (* (* h0 h1) h1)))) (cbrt (cbrt (* (* h0 h1) h1))) (* (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1))) (expm1 (cbrt (* (* h0 h1) h1))) (log1p (cbrt (* (* h0 h1) h1))) (log (cbrt (* (* h0 h1) h1))) (exp (cbrt (* (* h0 h1) h1))) (cbrt (* h0 h1)) (cbrt h1) (* (cbrt (cbrt (* (* h0 h1) h1))) (cbrt (cbrt (* (* h0 h1) h1)))) (cbrt (cbrt (* (* h0 h1) h1))) (* (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1))) (expm1 (cbrt (* (* h0 h1) h1))) (log1p (cbrt (* (* h0 h1) h1))) (log (cbrt (* (* h0 h1) h1))) (exp (cbrt (* (* h0 h1) h1))) (cbrt (* h0 h1)) (cbrt h1) (* (cbrt (cbrt (* (* h0 h1) h1))) (cbrt (cbrt (* (* h0 h1) h1)))) (cbrt (cbrt (* (* h0 h1) h1))) (* (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1))) (expm1 (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1)))) (log1p (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1)))) (+ 1/3 1/3) (+ 1 1) (* (* (* h0 h1) h1) (* (* h0 h1) h1)) (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (+ 1 1) (+ (log (cbrt (* (* h0 h1) h1))) (log (cbrt (* (* h0 h1) h1)))) (log (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1)))) (exp (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1)))) (* (* (* h0 h1) h1) (* (* h0 h1) h1)) (* (cbrt (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1)))) (cbrt (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))))) (cbrt (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1)))) (* (* (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1)))) (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1)))) (sqrt (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1)))) (sqrt (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1)))) (* (cbrt (* h0 h1)) (cbrt (* h0 h1))) (* (cbrt h1) (cbrt h1)) (* (* (cbrt (cbrt (* (* h0 h1) h1))) (cbrt (cbrt (* (* h0 h1) h1)))) (* (cbrt (cbrt (* (* h0 h1) h1))) (cbrt (cbrt (* (* h0 h1) h1))))) (* (cbrt (cbrt (* (* h0 h1) h1))) (cbrt (cbrt (* (* h0 h1) h1)))) (* (sqrt (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1)))) (* (sqrt (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1)))) (* 1 1) (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (* (sqrt (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1)))) (* (sqrt (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1)))) (* 2 1/3) (* 2 1) (* (cbrt (* (* h0 h1) h1)) (cbrt (* h0 h1))) (* (cbrt (* (* h0 h1) h1)) (* (cbrt (cbrt (* (* h0 h1) h1))) (cbrt (cbrt (* (* h0 h1) h1))))) (* (cbrt (* (* h0 h1) h1)) (sqrt (cbrt (* (* h0 h1) h1)))) (* (cbrt (* (* h0 h1) h1)) 1) (* (cbrt h1) (cbrt (* (* h0 h1) h1))) (* (cbrt (cbrt (* (* h0 h1) h1))) (cbrt (* (* h0 h1) h1))) (* (sqrt (cbrt (* (* h0 h1) h1))) (cbrt (* (* h0 h1) h1))) (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (exp (* 1/3 (+ (log h0) (* 2 (log h1))))) (exp (* -1/3 (+ (log (/ 1 h0)) (* 2 (log (/ 1 h1)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 h1))) (log (/ -1 h0))))) (cbrt -1)) (exp (* 1/3 (+ (log h0) (* 2 (log h1))))) (exp (* -1/3 (+ (log (/ 1 h0)) (* 2 (log (/ 1 h1)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 h1))) (log (/ -1 h0))))) (cbrt -1)) (exp (* 1/3 (+ (log h0) (* 2 (log h1))))) (exp (* -1/3 (+ (log (/ 1 h0)) (* 2 (log (/ 1 h1)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 h1))) (log (/ -1 h0))))) (cbrt -1)) (exp (* 1/3 (+ (* 2 (log h0)) (* 4 (log h1))))) (exp (* -1/3 (+ (* 2 (log (/ 1 h0))) (* 4 (log (/ 1 h1)))))) (* (pow (cbrt -1) 2) (exp (* -1/3 (+ (* 4 (log (/ -1 h1))) (* 2 (log (/ -1 h0))))))) 0.616 * * [simplify]: iteration 0 : 209 enodes (cost 467 ) 0.620 * * [simplify]: iteration 1 : 684 enodes (cost 410 ) 0.636 * * [simplify]: iteration 2 : 3048 enodes (cost 353 ) 0.701 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 0.703 * [simplify]: Simplified to: (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* x y) y) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* x y) y) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* x y) y) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (log1p (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) 2/3 2 (pow (cbrt (* (* x y) y)) 6) (pow (sqrt (cbrt (* (* x y) y))) 4) 2 (* 2 (log (cbrt (* (* x y) y)))) (* 2 (log (cbrt (* (* x y) y)))) (pow (exp 1) (pow (sqrt (cbrt (* (* x y) y))) 4)) (pow (cbrt (* (* x y) y)) 6) (* (cbrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (cbrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))))) (cbrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (pow (cbrt (* (* x y) y)) 6) (fabs (cbrt (* (* x y) y))) (fabs (cbrt (* (* x y) y))) (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt y) (cbrt y)) (pow (cbrt (cbrt (* (* x y) y))) 4) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (* (* x y) y)) (cbrt (* (* x y) y)) 1 (pow (sqrt (cbrt (* (* x y) y))) 4) (cbrt (* (* x y) y)) (cbrt (* (* x y) y)) 2/3 2 (* (cbrt (* (* x y) y)) (cbrt (* x y))) (pow (cbrt (cbrt (* (* x y) y))) 5) (pow (sqrt (cbrt (* (* x y) y))) 3) (cbrt (* (* x y) y)) (* (cbrt y) (cbrt (* (* x y) y))) (pow (cbrt (cbrt (* (* x y) y))) 4) (pow (sqrt (cbrt (* (* x y) y))) 3) (pow (sqrt (cbrt (* (* x y) y))) 4) (cbrt (* (* x y) y)) (/ (pow (/ 1 y) -2/3) (pow x -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -1/3)) (cbrt (* (* x y) y)) (/ (pow (/ 1 y) -2/3) (pow x -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -1/3)) (cbrt (* (* x y) y)) (/ (pow (/ 1 y) -2/3) (pow x -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -1/3)) (* (pow y 4/3) (pow x 2/3)) (* (pow (/ 1 y) -4/3) (pow (/ 1 x) -2/3)) (* (* (pow (cbrt -1) 2) (pow (/ -1 y) -4/3)) (pow (/ -1 x) -2/3)) 0.704 * * * [progress]: adding candidates to table 0.875 * * [progress]: iteration 3 / 4 0.875 * * * [progress]: picking best candidate 0.887 * * * * [pick]: Picked # 0.887 * * * [progress]: localizing error 0.898 * * * [progress]: generating rewritten candidates 0.898 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.910 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.923 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.926 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.927 * * * [progress]: generating series expansions 0.928 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.928 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.928 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.928 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.928 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.928 * [taylor]: Taking taylor expansion of 1/3 in y 0.928 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.928 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.928 * [taylor]: Taking taylor expansion of x in y 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.929 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.929 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.929 * [taylor]: Taking taylor expansion of 1/3 in x 0.929 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.929 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.929 * [taylor]: Taking taylor expansion of y in x 0.930 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.930 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.930 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.930 * [taylor]: Taking taylor expansion of 1/3 in x 0.930 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.930 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.931 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.931 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.931 * [taylor]: Taking taylor expansion of 1/3 in y 0.931 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.931 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.931 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of (log x) in y 0.932 * [taylor]: Taking taylor expansion of x in y 0.935 * [taylor]: Taking taylor expansion of 0 in y 0.941 * [taylor]: Taking taylor expansion of 0 in y 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.954 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.954 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.954 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.954 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.954 * [taylor]: Taking taylor expansion of 1/3 in y 0.954 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.954 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.954 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.954 * [taylor]: Taking taylor expansion of x in y 0.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.954 * [taylor]: Taking taylor expansion of y in y 0.955 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.955 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.955 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.955 * [taylor]: Taking taylor expansion of 1/3 in x 0.955 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.955 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.955 * [taylor]: Taking taylor expansion of y in x 0.957 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.957 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.957 * [taylor]: Taking taylor expansion of 1/3 in x 0.957 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.957 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.957 * [taylor]: Taking taylor expansion of y in x 0.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.958 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.958 * [taylor]: Taking taylor expansion of 1/3 in y 0.958 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.958 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.959 * [taylor]: Taking taylor expansion of (log x) in y 0.959 * [taylor]: Taking taylor expansion of x in y 0.962 * [taylor]: Taking taylor expansion of 0 in y 0.969 * [taylor]: Taking taylor expansion of 0 in y 0.980 * [taylor]: Taking taylor expansion of 0 in y 0.980 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.980 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.980 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.980 * [taylor]: Taking taylor expansion of -1 in y 0.981 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.981 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.981 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.981 * [taylor]: Taking taylor expansion of 1/3 in y 0.981 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.981 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.981 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.981 * [taylor]: Taking taylor expansion of x in y 0.981 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.981 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.982 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.982 * [taylor]: Taking taylor expansion of -1 in x 0.983 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.983 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.983 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.983 * [taylor]: Taking taylor expansion of 1/3 in x 0.983 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.983 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.983 * [taylor]: Taking taylor expansion of y in x 0.984 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.984 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.984 * [taylor]: Taking taylor expansion of -1 in x 0.985 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.985 * [taylor]: Taking taylor expansion of 1/3 in x 0.985 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.985 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.986 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.986 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.986 * [taylor]: Taking taylor expansion of -1 in y 0.987 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.987 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.987 * [taylor]: Taking taylor expansion of 1/3 in y 0.987 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.987 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of (log x) in y 0.988 * [taylor]: Taking taylor expansion of x in y 0.992 * [taylor]: Taking taylor expansion of 0 in y 1.001 * [taylor]: Taking taylor expansion of 0 in y 1.014 * [taylor]: Taking taylor expansion of 0 in y 1.015 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.015 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 1.015 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 1.015 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 1.015 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 1.015 * [taylor]: Taking taylor expansion of 1/3 in y 1.015 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 1.015 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.015 * [taylor]: Taking taylor expansion of x in y 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.016 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 1.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 1.016 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 1.016 * [taylor]: Taking taylor expansion of 1/3 in x 1.016 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 1.016 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.017 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 1.017 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 1.017 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 1.017 * [taylor]: Taking taylor expansion of 1/3 in x 1.017 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 1.017 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.018 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 1.018 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 1.018 * [taylor]: Taking taylor expansion of 1/3 in y 1.018 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 1.018 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.018 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of (log x) in y 1.018 * [taylor]: Taking taylor expansion of x in y 1.021 * [taylor]: Taking taylor expansion of 0 in y 1.027 * [taylor]: Taking taylor expansion of 0 in y 1.042 * [taylor]: Taking taylor expansion of 0 in y 1.042 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 1.042 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.042 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 1.043 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 1.043 * [taylor]: Taking taylor expansion of 1/3 in y 1.043 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 1.043 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.043 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.043 * [taylor]: Taking taylor expansion of x in y 1.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.043 * [taylor]: Taking taylor expansion of y in y 1.043 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 1.043 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 1.043 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 1.043 * [taylor]: Taking taylor expansion of 1/3 in x 1.043 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 1.043 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.043 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.044 * [taylor]: Taking taylor expansion of y in x 1.045 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 1.045 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 1.045 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 1.045 * [taylor]: Taking taylor expansion of 1/3 in x 1.045 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.045 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.045 * [taylor]: Taking taylor expansion of y in x 1.046 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 1.046 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 1.046 * [taylor]: Taking taylor expansion of 1/3 in y 1.046 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 1.046 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.046 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of (log x) in y 1.047 * [taylor]: Taking taylor expansion of x in y 1.050 * [taylor]: Taking taylor expansion of 0 in y 1.057 * [taylor]: Taking taylor expansion of 0 in y 1.068 * [taylor]: Taking taylor expansion of 0 in y 1.068 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 1.068 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 1.068 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.068 * [taylor]: Taking taylor expansion of -1 in y 1.069 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.069 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 1.069 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 1.069 * [taylor]: Taking taylor expansion of 1/3 in y 1.069 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 1.069 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.069 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.069 * [taylor]: Taking taylor expansion of x in y 1.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.069 * [taylor]: Taking taylor expansion of y in y 1.070 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 1.070 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.070 * [taylor]: Taking taylor expansion of -1 in x 1.070 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 1.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 1.070 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 1.070 * [taylor]: Taking taylor expansion of 1/3 in x 1.070 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.070 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.071 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 1.072 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.072 * [taylor]: Taking taylor expansion of -1 in x 1.072 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 1.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 1.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 1.072 * [taylor]: Taking taylor expansion of 1/3 in x 1.072 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.072 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.072 * [taylor]: Taking taylor expansion of y in x 1.074 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 1.074 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.074 * [taylor]: Taking taylor expansion of -1 in y 1.075 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 1.075 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 1.075 * [taylor]: Taking taylor expansion of 1/3 in y 1.075 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 1.075 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.075 * [taylor]: Taking taylor expansion of y in y 1.075 * [taylor]: Taking taylor expansion of (log x) in y 1.075 * [taylor]: Taking taylor expansion of x in y 1.080 * [taylor]: Taking taylor expansion of 0 in y 1.089 * [taylor]: Taking taylor expansion of 0 in y 1.102 * [taylor]: Taking taylor expansion of 0 in y 1.103 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.103 * [approximate]: Taking taylor expansion of (pow (* x y) 1/3) in (x y) around 0 1.103 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in y 1.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in y 1.103 * [taylor]: Taking taylor expansion of 1/3 in y 1.103 * [taylor]: Taking taylor expansion of (log (* x y)) in y 1.103 * [taylor]: Taking taylor expansion of (* x y) in y 1.103 * [taylor]: Taking taylor expansion of x in y 1.103 * [taylor]: Taking taylor expansion of y in y 1.104 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 1.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 1.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 1.104 * [taylor]: Taking taylor expansion of 1/3 in x 1.104 * [taylor]: Taking taylor expansion of (log (* x y)) in x 1.104 * [taylor]: Taking taylor expansion of (* x y) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of y in x 1.105 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 1.105 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 1.105 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 1.105 * [taylor]: Taking taylor expansion of 1/3 in x 1.105 * [taylor]: Taking taylor expansion of (log (* x y)) in x 1.105 * [taylor]: Taking taylor expansion of (* x y) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.105 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log y)))) in y 1.105 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log y))) in y 1.105 * [taylor]: Taking taylor expansion of 1/3 in y 1.105 * [taylor]: Taking taylor expansion of (+ (log x) (log y)) in y 1.105 * [taylor]: Taking taylor expansion of (log x) in y 1.105 * [taylor]: Taking taylor expansion of x in y 1.105 * [taylor]: Taking taylor expansion of (log y) in y 1.106 * [taylor]: Taking taylor expansion of y in y 1.108 * [taylor]: Taking taylor expansion of 0 in y 1.113 * [taylor]: Taking taylor expansion of 0 in y 1.121 * [taylor]: Taking taylor expansion of 0 in y 1.121 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 1.121 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 1.121 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 1.121 * [taylor]: Taking taylor expansion of 1/3 in y 1.121 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.121 * [taylor]: Taking taylor expansion of (* x y) in y 1.121 * [taylor]: Taking taylor expansion of x in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.122 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.122 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.122 * [taylor]: Taking taylor expansion of 1/3 in x 1.122 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.122 * [taylor]: Taking taylor expansion of (* x y) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of y in x 1.123 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.123 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.123 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.123 * [taylor]: Taking taylor expansion of 1/3 in x 1.123 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.123 * [taylor]: Taking taylor expansion of (* x y) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of y in x 1.124 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 1.124 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 1.124 * [taylor]: Taking taylor expansion of 1/3 in y 1.124 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 1.124 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.124 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.124 * [taylor]: Taking taylor expansion of y in y 1.125 * [taylor]: Taking taylor expansion of (log x) in y 1.125 * [taylor]: Taking taylor expansion of x in y 1.127 * [taylor]: Taking taylor expansion of 0 in y 1.139 * [taylor]: Taking taylor expansion of 0 in y 1.148 * [taylor]: Taking taylor expansion of 0 in y 1.148 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 1.148 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.148 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 1.148 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 1.148 * [taylor]: Taking taylor expansion of 1/3 in y 1.148 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 1.148 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.148 * [taylor]: Taking taylor expansion of (* x y) in y 1.148 * [taylor]: Taking taylor expansion of x in y 1.148 * [taylor]: Taking taylor expansion of y in y 1.149 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.149 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.149 * [taylor]: Taking taylor expansion of 1/3 in x 1.149 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.149 * [taylor]: Taking taylor expansion of (* x y) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of y in x 1.150 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.150 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.150 * [taylor]: Taking taylor expansion of 1/3 in x 1.150 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.150 * [taylor]: Taking taylor expansion of (* x y) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of y in x 1.151 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 1.151 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 1.151 * [taylor]: Taking taylor expansion of 1/3 in y 1.151 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 1.151 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.151 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.151 * [taylor]: Taking taylor expansion of y in y 1.151 * [taylor]: Taking taylor expansion of (log x) in y 1.151 * [taylor]: Taking taylor expansion of x in y 1.154 * [taylor]: Taking taylor expansion of 0 in y 1.160 * [taylor]: Taking taylor expansion of 0 in y 1.169 * [taylor]: Taking taylor expansion of 0 in y 1.170 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.170 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.170 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.170 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.170 * [taylor]: Taking taylor expansion of 1/3 in y 1.170 * [taylor]: Taking taylor expansion of (log y) in y 1.170 * [taylor]: Taking taylor expansion of y in y 1.170 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.170 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.171 * [taylor]: Taking taylor expansion of 1/3 in y 1.171 * [taylor]: Taking taylor expansion of (log y) in y 1.171 * [taylor]: Taking taylor expansion of y in y 1.223 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.224 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.224 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.224 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.224 * [taylor]: Taking taylor expansion of 1/3 in y 1.224 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.224 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.224 * [taylor]: Taking taylor expansion of y in y 1.224 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.224 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.224 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.225 * [taylor]: Taking taylor expansion of 1/3 in y 1.225 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.225 * [taylor]: Taking taylor expansion of y in y 1.274 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.274 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.274 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.274 * [taylor]: Taking taylor expansion of -1 in y 1.275 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.275 * [taylor]: Taking taylor expansion of 1/3 in y 1.275 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.275 * [taylor]: Taking taylor expansion of y in y 1.275 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.275 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.275 * [taylor]: Taking taylor expansion of -1 in y 1.276 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.276 * [taylor]: Taking taylor expansion of 1/3 in y 1.276 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.276 * [taylor]: Taking taylor expansion of y in y 1.342 * * * [progress]: simplifying candidates 1.343 * [simplify]: Simplifying using # : (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x 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))) (expm1 (cbrt y)) (log1p (cbrt y)) (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 (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (exp (* 1/3 (+ (log x) (* 2 (log y))))) (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (+ (log x) (* 2 (log y))))) (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (+ (log x) (log y)))) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y))))) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x))))) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 1.343 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt (* (* h0 h1) h1))) (log1p (cbrt (* (* h0 h1) h1))) (log (cbrt (* (* h0 h1) h1))) (exp (cbrt (* (* h0 h1) h1))) (cbrt (* h0 h1)) (cbrt h1) (* (cbrt (cbrt (* (* h0 h1) h1))) (cbrt (cbrt (* (* h0 h1) h1)))) (cbrt (cbrt (* (* h0 h1) h1))) (* (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1))) (expm1 (cbrt (* (* h0 h1) h1))) (log1p (cbrt (* (* h0 h1) h1))) (log (cbrt (* (* h0 h1) h1))) (exp (cbrt (* (* h0 h1) h1))) (cbrt (* h0 h1)) (cbrt h1) (* (cbrt (cbrt (* (* h0 h1) h1))) (cbrt (cbrt (* (* h0 h1) h1)))) (cbrt (cbrt (* (* h0 h1) h1))) (* (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1))) (expm1 (cbrt (* h0 h1))) (log1p (cbrt (* h0 h1))) (log (cbrt (* h0 h1))) (exp (cbrt (* h0 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))) (expm1 (cbrt h1)) (log1p (cbrt h1)) (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 (cbrt h1)) (cbrt (cbrt h1))) (cbrt (cbrt h1)) (* (* (cbrt h1) (cbrt h1)) (cbrt h1)) (sqrt (cbrt h1)) (sqrt (cbrt h1)) (exp (* 1/3 (+ (log h0) (* 2 (log h1))))) (exp (* -1/3 (+ (log (/ 1 h0)) (* 2 (log (/ 1 h1)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 h1))) (log (/ -1 h0))))) (cbrt -1)) (exp (* 1/3 (+ (log h0) (* 2 (log h1))))) (exp (* -1/3 (+ (log (/ 1 h0)) (* 2 (log (/ 1 h1)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 h1))) (log (/ -1 h0))))) (cbrt -1)) (exp (* 1/3 (+ (log h0) (log h1)))) (exp (* -1/3 (+ (log (/ 1 h0)) (log (/ 1 h1))))) (exp (* -1/3 (+ (log (/ -1 h1)) (log (/ -1 h0))))) (pow h1 1/3) (pow (/ 1 h1) -1/3) (* (pow (* -1 h1) 1/3) (cbrt -1)) 1.347 * * [simplify]: iteration 0 : 166 enodes (cost 248 ) 1.349 * * [simplify]: iteration 1 : 355 enodes (cost 222 ) 1.355 * * [simplify]: iteration 2 : 1047 enodes (cost 196 ) 1.373 * * [simplify]: iteration 3 : 3611 enodes (cost 192 ) 1.439 * * [simplify]: iteration 4 : 5001 enodes (cost 192 ) 1.441 * [simplify]: Simplified to: (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (pow y 1/3) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* x y) y) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (pow y 1/3) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* x y) y) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (pow x 1/3) (pow y 1/3) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* x y) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (* (pow y 2/3) (pow x 1/3)) (/ (pow (/ 1 y) -2/3) (pow x -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -1/3)) (* (pow y 2/3) (pow x 1/3)) (/ (pow (/ 1 y) -2/3) (pow x -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -1/3)) (cbrt (* x y)) (/ (pow (/ 1 x) -1/3) (pow y -1/3)) (* (pow (/ -1 x) -1/3) (pow (/ -1 y) -1/3)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 1.441 * * * [progress]: adding candidates to table 1.619 * * [progress]: iteration 4 / 4 1.619 * * * [progress]: picking best candidate 1.632 * * * * [pick]: Picked # 1.632 * * * [progress]: localizing error 1.644 * * * [progress]: generating rewritten candidates 1.644 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.659 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.671 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 1.675 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.676 * * * [progress]: generating series expansions 1.676 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.677 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 1.677 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 1.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 1.677 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 1.677 * [taylor]: Taking taylor expansion of 1/3 in y 1.677 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 1.677 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.677 * [taylor]: Taking taylor expansion of x in y 1.677 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.677 * [taylor]: Taking taylor expansion of y in y 1.678 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 1.678 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 1.678 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 1.678 * [taylor]: Taking taylor expansion of 1/3 in x 1.678 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 1.678 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.678 * [taylor]: Taking taylor expansion of y in x 1.679 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 1.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 1.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 1.679 * [taylor]: Taking taylor expansion of 1/3 in x 1.679 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 1.679 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.679 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.679 * [taylor]: Taking taylor expansion of y in x 1.680 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 1.680 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 1.680 * [taylor]: Taking taylor expansion of 1/3 in y 1.680 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 1.680 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.680 * [taylor]: Taking taylor expansion of y in y 1.680 * [taylor]: Taking taylor expansion of (log x) in y 1.681 * [taylor]: Taking taylor expansion of x in y 1.683 * [taylor]: Taking taylor expansion of 0 in y 1.690 * [taylor]: Taking taylor expansion of 0 in y 1.700 * [taylor]: Taking taylor expansion of 0 in y 1.700 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 1.700 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 1.700 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 1.700 * [taylor]: Taking taylor expansion of 1/3 in y 1.700 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 1.700 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.700 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.700 * [taylor]: Taking taylor expansion of x in y 1.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.700 * [taylor]: Taking taylor expansion of y in y 1.701 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 1.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 1.701 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 1.701 * [taylor]: Taking taylor expansion of 1/3 in x 1.701 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 1.701 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.701 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.701 * [taylor]: Taking taylor expansion of x in x 1.701 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.701 * [taylor]: Taking taylor expansion of y in x 1.702 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 1.702 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 1.702 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 1.702 * [taylor]: Taking taylor expansion of 1/3 in x 1.702 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 1.702 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.702 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.703 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.703 * [taylor]: Taking taylor expansion of y in x 1.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 1.704 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 1.704 * [taylor]: Taking taylor expansion of 1/3 in y 1.704 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 1.704 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.704 * [taylor]: Taking taylor expansion of y in y 1.704 * [taylor]: Taking taylor expansion of (log x) in y 1.704 * [taylor]: Taking taylor expansion of x in y 1.708 * [taylor]: Taking taylor expansion of 0 in y 1.715 * [taylor]: Taking taylor expansion of 0 in y 1.730 * [taylor]: Taking taylor expansion of 0 in y 1.730 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 1.730 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 1.730 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.730 * [taylor]: Taking taylor expansion of -1 in y 1.731 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 1.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 1.731 * [taylor]: Taking taylor expansion of 1/3 in y 1.731 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 1.731 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.731 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.731 * [taylor]: Taking taylor expansion of x in y 1.731 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.731 * [taylor]: Taking taylor expansion of y in y 1.732 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 1.732 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.732 * [taylor]: Taking taylor expansion of -1 in x 1.732 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 1.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 1.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 1.732 * [taylor]: Taking taylor expansion of 1/3 in x 1.732 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 1.733 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.733 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.733 * [taylor]: Taking taylor expansion of x in x 1.733 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.733 * [taylor]: Taking taylor expansion of y in x 1.734 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 1.734 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.734 * [taylor]: Taking taylor expansion of -1 in x 1.735 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 1.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 1.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 1.735 * [taylor]: Taking taylor expansion of 1/3 in x 1.735 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 1.735 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.735 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.735 * [taylor]: Taking taylor expansion of x in x 1.735 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.735 * [taylor]: Taking taylor expansion of y in x 1.736 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 1.736 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.736 * [taylor]: Taking taylor expansion of -1 in y 1.737 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 1.737 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 1.737 * [taylor]: Taking taylor expansion of 1/3 in y 1.737 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 1.737 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.737 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.737 * [taylor]: Taking taylor expansion of y in y 1.738 * [taylor]: Taking taylor expansion of (log x) in y 1.738 * [taylor]: Taking taylor expansion of x in y 1.743 * [taylor]: Taking taylor expansion of 0 in y 1.752 * [taylor]: Taking taylor expansion of 0 in y 1.766 * [taylor]: Taking taylor expansion of 0 in y 1.767 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.767 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 1.767 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 1.767 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 1.767 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 1.767 * [taylor]: Taking taylor expansion of 1/3 in y 1.767 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 1.767 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.767 * [taylor]: Taking taylor expansion of x in y 1.767 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.767 * [taylor]: Taking taylor expansion of y in y 1.768 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 1.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 1.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 1.768 * [taylor]: Taking taylor expansion of 1/3 in x 1.768 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 1.768 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.768 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.768 * [taylor]: Taking taylor expansion of y in x 1.769 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 1.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 1.769 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 1.769 * [taylor]: Taking taylor expansion of 1/3 in x 1.769 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 1.769 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.769 * [taylor]: Taking taylor expansion of x in x 1.769 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.769 * [taylor]: Taking taylor expansion of y in x 1.770 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 1.770 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 1.770 * [taylor]: Taking taylor expansion of 1/3 in y 1.770 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 1.770 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.770 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.770 * [taylor]: Taking taylor expansion of y in y 1.771 * [taylor]: Taking taylor expansion of (log x) in y 1.771 * [taylor]: Taking taylor expansion of x in y 1.774 * [taylor]: Taking taylor expansion of 0 in y 1.780 * [taylor]: Taking taylor expansion of 0 in y 1.789 * [taylor]: Taking taylor expansion of 0 in y 1.790 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 1.790 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.790 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 1.790 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 1.790 * [taylor]: Taking taylor expansion of 1/3 in y 1.790 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 1.790 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.790 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.790 * [taylor]: Taking taylor expansion of x in y 1.790 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.790 * [taylor]: Taking taylor expansion of y in y 1.791 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 1.791 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 1.791 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 1.791 * [taylor]: Taking taylor expansion of 1/3 in x 1.791 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 1.791 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.791 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.791 * [taylor]: Taking taylor expansion of x in x 1.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.791 * [taylor]: Taking taylor expansion of y in x 1.792 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 1.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 1.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 1.792 * [taylor]: Taking taylor expansion of 1/3 in x 1.792 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 1.792 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.792 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.792 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.792 * [taylor]: Taking taylor expansion of y in x 1.793 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 1.793 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 1.794 * [taylor]: Taking taylor expansion of 1/3 in y 1.794 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 1.794 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.794 * [taylor]: Taking taylor expansion of y in y 1.794 * [taylor]: Taking taylor expansion of (log x) in y 1.794 * [taylor]: Taking taylor expansion of x in y 1.797 * [taylor]: Taking taylor expansion of 0 in y 1.805 * [taylor]: Taking taylor expansion of 0 in y 1.815 * [taylor]: Taking taylor expansion of 0 in y 1.816 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 1.816 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 1.816 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.816 * [taylor]: Taking taylor expansion of -1 in y 1.817 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 1.817 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 1.817 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 1.817 * [taylor]: Taking taylor expansion of 1/3 in y 1.817 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 1.817 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.817 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.817 * [taylor]: Taking taylor expansion of x in y 1.817 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.817 * [taylor]: Taking taylor expansion of y in y 1.817 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 1.817 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.817 * [taylor]: Taking taylor expansion of -1 in x 1.818 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 1.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 1.818 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 1.818 * [taylor]: Taking taylor expansion of 1/3 in x 1.818 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 1.818 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.818 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.818 * [taylor]: Taking taylor expansion of x in x 1.818 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.818 * [taylor]: Taking taylor expansion of y in x 1.820 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 1.820 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.820 * [taylor]: Taking taylor expansion of -1 in x 1.820 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 1.820 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 1.820 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 1.820 * [taylor]: Taking taylor expansion of 1/3 in x 1.820 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 1.820 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.820 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.820 * [taylor]: Taking taylor expansion of x in x 1.820 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.820 * [taylor]: Taking taylor expansion of y in x 1.828 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 1.828 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.828 * [taylor]: Taking taylor expansion of -1 in y 1.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 1.828 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 1.828 * [taylor]: Taking taylor expansion of 1/3 in y 1.828 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 1.828 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.828 * [taylor]: Taking taylor expansion of y in y 1.829 * [taylor]: Taking taylor expansion of (log x) in y 1.829 * [taylor]: Taking taylor expansion of x in y 1.833 * [taylor]: Taking taylor expansion of 0 in y 1.843 * [taylor]: Taking taylor expansion of 0 in y 1.856 * [taylor]: Taking taylor expansion of 0 in y 1.856 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 1.857 * [approximate]: Taking taylor expansion of (pow (* x y) 1/3) in (x y) around 0 1.857 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in y 1.857 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in y 1.857 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in y 1.857 * [taylor]: Taking taylor expansion of 1/3 in y 1.857 * [taylor]: Taking taylor expansion of (log (* x y)) in y 1.857 * [taylor]: Taking taylor expansion of (* x y) in y 1.857 * [taylor]: Taking taylor expansion of x in y 1.857 * [taylor]: Taking taylor expansion of y in y 1.857 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 1.857 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 1.857 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 1.857 * [taylor]: Taking taylor expansion of 1/3 in x 1.857 * [taylor]: Taking taylor expansion of (log (* x y)) in x 1.857 * [taylor]: Taking taylor expansion of (* x y) in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.857 * [taylor]: Taking taylor expansion of y in x 1.858 * [taylor]: Taking taylor expansion of (pow (* x y) 1/3) in x 1.858 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x y)))) in x 1.858 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x y))) in x 1.858 * [taylor]: Taking taylor expansion of 1/3 in x 1.858 * [taylor]: Taking taylor expansion of (log (* x y)) in x 1.858 * [taylor]: Taking taylor expansion of (* x y) in x 1.858 * [taylor]: Taking taylor expansion of x in x 1.858 * [taylor]: Taking taylor expansion of y in x 1.859 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log y)))) in y 1.859 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log y))) in y 1.859 * [taylor]: Taking taylor expansion of 1/3 in y 1.859 * [taylor]: Taking taylor expansion of (+ (log x) (log y)) in y 1.859 * [taylor]: Taking taylor expansion of (log x) in y 1.859 * [taylor]: Taking taylor expansion of x in y 1.859 * [taylor]: Taking taylor expansion of (log y) in y 1.859 * [taylor]: Taking taylor expansion of y in y 1.862 * [taylor]: Taking taylor expansion of 0 in y 1.867 * [taylor]: Taking taylor expansion of 0 in y 1.875 * [taylor]: Taking taylor expansion of 0 in y 1.875 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 1.875 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 1.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 1.875 * [taylor]: Taking taylor expansion of 1/3 in y 1.875 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 1.875 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.875 * [taylor]: Taking taylor expansion of (* x y) in y 1.875 * [taylor]: Taking taylor expansion of x in y 1.875 * [taylor]: Taking taylor expansion of y in y 1.876 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.876 * [taylor]: Taking taylor expansion of 1/3 in x 1.876 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.876 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.876 * [taylor]: Taking taylor expansion of (* x y) in x 1.876 * [taylor]: Taking taylor expansion of x in x 1.876 * [taylor]: Taking taylor expansion of y in x 1.877 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.877 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.877 * [taylor]: Taking taylor expansion of 1/3 in x 1.877 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.877 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.877 * [taylor]: Taking taylor expansion of (* x y) in x 1.877 * [taylor]: Taking taylor expansion of x in x 1.877 * [taylor]: Taking taylor expansion of y in x 1.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 1.878 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 1.878 * [taylor]: Taking taylor expansion of 1/3 in y 1.878 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 1.878 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.878 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.878 * [taylor]: Taking taylor expansion of y in y 1.878 * [taylor]: Taking taylor expansion of (log x) in y 1.878 * [taylor]: Taking taylor expansion of x in y 1.881 * [taylor]: Taking taylor expansion of 0 in y 1.887 * [taylor]: Taking taylor expansion of 0 in y 1.896 * [taylor]: Taking taylor expansion of 0 in y 1.896 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in (x y) around 0 1.896 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in y 1.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in y 1.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in y 1.896 * [taylor]: Taking taylor expansion of 1/3 in y 1.896 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in y 1.896 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.896 * [taylor]: Taking taylor expansion of (* x y) in y 1.896 * [taylor]: Taking taylor expansion of x in y 1.896 * [taylor]: Taking taylor expansion of y in y 1.897 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.897 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.897 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.897 * [taylor]: Taking taylor expansion of 1/3 in x 1.897 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.897 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.897 * [taylor]: Taking taylor expansion of (* x y) in x 1.897 * [taylor]: Taking taylor expansion of x in x 1.897 * [taylor]: Taking taylor expansion of y in x 1.898 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x y)) 1/3) in x 1.898 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x y))))) in x 1.898 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x y)))) in x 1.898 * [taylor]: Taking taylor expansion of 1/3 in x 1.898 * [taylor]: Taking taylor expansion of (log (/ 1 (* x y))) in x 1.898 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.898 * [taylor]: Taking taylor expansion of (* x y) in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.898 * [taylor]: Taking taylor expansion of y in x 1.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 y)) (log x)))) in y 1.899 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 y)) (log x))) in y 1.899 * [taylor]: Taking taylor expansion of 1/3 in y 1.899 * [taylor]: Taking taylor expansion of (- (log (/ 1 y)) (log x)) in y 1.899 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.899 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.899 * [taylor]: Taking taylor expansion of y in y 1.899 * [taylor]: Taking taylor expansion of (log x) in y 1.900 * [taylor]: Taking taylor expansion of x in y 1.902 * [taylor]: Taking taylor expansion of 0 in y 1.908 * [taylor]: Taking taylor expansion of 0 in y 1.922 * [taylor]: Taking taylor expansion of 0 in y 1.922 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.922 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.922 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.922 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.922 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.922 * [taylor]: Taking taylor expansion of 1/3 in y 1.922 * [taylor]: Taking taylor expansion of (log y) in y 1.922 * [taylor]: Taking taylor expansion of y in y 1.923 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.923 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.923 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.923 * [taylor]: Taking taylor expansion of 1/3 in y 1.923 * [taylor]: Taking taylor expansion of (log y) in y 1.923 * [taylor]: Taking taylor expansion of y in y 1.969 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.969 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.969 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.969 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.969 * [taylor]: Taking taylor expansion of 1/3 in y 1.969 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.969 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.969 * [taylor]: Taking taylor expansion of y in y 1.970 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.970 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.970 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.970 * [taylor]: Taking taylor expansion of 1/3 in y 1.970 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.970 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.970 * [taylor]: Taking taylor expansion of y in y 2.027 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 2.027 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 2.027 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.027 * [taylor]: Taking taylor expansion of -1 in y 2.028 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 2.028 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 2.028 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 2.028 * [taylor]: Taking taylor expansion of 1/3 in y 2.028 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.028 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.028 * [taylor]: Taking taylor expansion of y in y 2.029 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 2.029 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.029 * [taylor]: Taking taylor expansion of -1 in y 2.030 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 2.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 2.030 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 2.030 * [taylor]: Taking taylor expansion of 1/3 in y 2.030 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.030 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.030 * [taylor]: Taking taylor expansion of y in y 2.095 * * * [progress]: simplifying candidates 2.095 * [simplify]: Simplifying using # : (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x 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))) (expm1 (cbrt y)) (log1p (cbrt y)) (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 (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (exp (* 1/3 (+ (log x) (* 2 (log y))))) (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (+ (log x) (* 2 (log y))))) (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (+ (log x) (log y)))) (exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y))))) (exp (* -1/3 (+ (log (/ -1 y)) (log (/ -1 x))))) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 2.096 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt (* (* h0 h1) h1))) (log1p (cbrt (* (* h0 h1) h1))) (log (cbrt (* (* h0 h1) h1))) (exp (cbrt (* (* h0 h1) h1))) (cbrt (* h0 h1)) (cbrt h1) (* (cbrt (cbrt (* (* h0 h1) h1))) (cbrt (cbrt (* (* h0 h1) h1)))) (cbrt (cbrt (* (* h0 h1) h1))) (* (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1))) (expm1 (cbrt (* (* h0 h1) h1))) (log1p (cbrt (* (* h0 h1) h1))) (log (cbrt (* (* h0 h1) h1))) (exp (cbrt (* (* h0 h1) h1))) (cbrt (* h0 h1)) (cbrt h1) (* (cbrt (cbrt (* (* h0 h1) h1))) (cbrt (cbrt (* (* h0 h1) h1)))) (cbrt (cbrt (* (* h0 h1) h1))) (* (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1))) (sqrt (cbrt (* (* h0 h1) h1))) (expm1 (cbrt (* h0 h1))) (log1p (cbrt (* h0 h1))) (log (cbrt (* h0 h1))) (exp (cbrt (* h0 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))) (expm1 (cbrt h1)) (log1p (cbrt h1)) (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 (cbrt h1)) (cbrt (cbrt h1))) (cbrt (cbrt h1)) (* (* (cbrt h1) (cbrt h1)) (cbrt h1)) (sqrt (cbrt h1)) (sqrt (cbrt h1)) (exp (* 1/3 (+ (log h0) (* 2 (log h1))))) (exp (* -1/3 (+ (log (/ 1 h0)) (* 2 (log (/ 1 h1)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 h1))) (log (/ -1 h0))))) (cbrt -1)) (exp (* 1/3 (+ (log h0) (* 2 (log h1))))) (exp (* -1/3 (+ (log (/ 1 h0)) (* 2 (log (/ 1 h1)))))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 h1))) (log (/ -1 h0))))) (cbrt -1)) (exp (* 1/3 (+ (log h0) (log h1)))) (exp (* -1/3 (+ (log (/ 1 h0)) (log (/ 1 h1))))) (exp (* -1/3 (+ (log (/ -1 h1)) (log (/ -1 h0))))) (pow h1 1/3) (pow (/ 1 h1) -1/3) (* (pow (* -1 h1) 1/3) (cbrt -1)) 2.099 * * [simplify]: iteration 0 : 166 enodes (cost 248 ) 2.102 * * [simplify]: iteration 1 : 355 enodes (cost 222 ) 2.107 * * [simplify]: iteration 2 : 1047 enodes (cost 196 ) 2.124 * * [simplify]: iteration 3 : 3611 enodes (cost 192 ) 2.195 * * [simplify]: iteration 4 : 5001 enodes (cost 192 ) 2.196 * [simplify]: Simplified to: (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (pow y 1/3) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* x y) y) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (pow y 1/3) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* x y) y) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (cbrt (* x y))) (log1p (cbrt (* x y))) (log (cbrt (* x y))) (exp (cbrt (* x y))) (pow x 1/3) (pow y 1/3) (* (cbrt (cbrt (* x y))) (cbrt (cbrt (* x y)))) (cbrt (cbrt (* x y))) (* x y) (sqrt (cbrt (* x y))) (sqrt (cbrt (* x y))) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (* (pow y 2/3) (pow x 1/3)) (/ (pow (/ 1 y) -2/3) (pow x -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -1/3)) (* (pow y 2/3) (pow x 1/3)) (/ (pow (/ 1 y) -2/3) (pow x -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -1/3)) (cbrt (* x y)) (/ (pow (/ 1 x) -1/3) (pow y -1/3)) (* (pow (/ -1 x) -1/3) (pow (/ -1 y) -1/3)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 2.196 * * * [progress]: adding candidates to table 2.377 * [progress]: [Phase 3 of 3] Extracting. 2.377 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 2.378 * * * [regime-changes]: Trying 3 branch expressions: ((* (* x y) y) y x) 2.378 * * * * [regimes]: Trying to branch on (* (* x y) y) from (# # # # # # # # # #) 2.406 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # #) 2.437 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 2.469 * * * [regime]: Found split indices: #