2.088 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (exp (* (* x y) y)) 0.017 * [simplify]: Sending expressions to egg_math: (exp (* (* h0 h1) h1)) 0.019 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 22 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 40 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 83 enodes (cost 3 ) 0.025 * * [simplify]: iteration 4 : 201 enodes (cost 3 ) 0.029 * * [simplify]: iteration 5 : 572 enodes (cost 3 ) 0.041 * * [simplify]: iteration 6 : 3029 enodes (cost 3 ) 0.086 * * [simplify]: iteration 7 : 5001 enodes (cost 3 ) 0.086 * [simplify]: Simplified to: (exp (* (* x y) y)) 0.086 * * [progress]: iteration 1 / 4 0.086 * * * [progress]: picking best candidate 0.088 * * * * [pick]: Picked # 0.088 * * * [progress]: localizing error 0.092 * * * [progress]: generating rewritten candidates 0.092 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.110 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.119 * * * [progress]: generating series expansions 0.119 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.119 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.119 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.122 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.122 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.123 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.123 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.133 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.133 * [taylor]: Taking taylor expansion of -1 in y 0.133 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.134 * [taylor]: Taking taylor expansion of -1 in x 0.134 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.134 * [taylor]: Taking taylor expansion of -1 in x 0.134 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.135 * [taylor]: Taking taylor expansion of -1 in y 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.148 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.148 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 0.148 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.148 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.148 * [taylor]: Taking taylor expansion of x in y 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.149 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.149 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of 1 in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 0.151 * [taylor]: Taking taylor expansion of 1/2 in y 0.151 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 0.154 * [taylor]: Taking taylor expansion of 1/6 in y 0.154 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 0.157 * [taylor]: Taking taylor expansion of 1/24 in y 0.157 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 0.162 * [taylor]: Taking taylor expansion of 1/120 in y 0.162 * [taylor]: Taking taylor expansion of (pow y 10) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.169 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 0.169 * [taylor]: Taking taylor expansion of 1/720 in y 0.169 * [taylor]: Taking taylor expansion of (pow y 12) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.170 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 0.170 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.170 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.171 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.172 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.172 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 0.173 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.173 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.173 * [taylor]: Taking taylor expansion of -1 in y 0.173 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.173 * [taylor]: Taking taylor expansion of x in y 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.174 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.174 * [taylor]: Taking taylor expansion of -1 in x 0.174 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.174 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.174 * [taylor]: Taking taylor expansion of -1 in x 0.174 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.175 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.175 * [taylor]: Taking taylor expansion of -1 in y 0.175 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of x in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * * * [progress]: simplifying candidates 0.176 * [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) (expm1 (exp (* (* x y) y))) (log1p (exp (* (* x y) y))) (exp (* x y)) (log (exp (* (* x y) y))) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (* (* (exp (* (* x y) y)) (exp (* (* x y) y))) (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 0.176 * [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) (expm1 (exp (* (* h0 h1) h1))) (log1p (exp (* (* h0 h1) h1))) (exp (* h0 h1)) (log (exp (* (* h0 h1) h1))) (exp (exp (* (* h0 h1) h1))) (* (cbrt (exp (* (* h0 h1) h1))) (cbrt (exp (* (* h0 h1) h1)))) (cbrt (exp (* (* h0 h1) h1))) (* (* (exp (* (* h0 h1) h1)) (exp (* (* h0 h1) h1))) (exp (* (* h0 h1) h1))) (sqrt (exp (* (* h0 h1) h1))) (sqrt (exp (* (* h0 h1) h1))) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (+ (* h0 (pow h1 2)) (+ (* 1/2 (* (pow h0 2) (pow h1 4))) 1)) (exp (* h0 (pow h1 2))) (exp (* h0 (pow h1 2))) 0.180 * * [simplify]: iteration 0 : 137 enodes (cost 137 ) 0.183 * * [simplify]: iteration 1 : 633 enodes (cost 116 ) 0.199 * * [simplify]: iteration 2 : 3158 enodes (cost 116 ) 0.267 * * [simplify]: iteration 3 : 5001 enodes (cost 116 ) 0.268 * [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 (pow y 2))) (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 y) (sqrt y)) (* x y) (pow y 2) (expm1 (exp (* (* x y) y))) (log1p (exp (* (* x y) y))) (exp (* x y)) (* (* x y) y) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (pow (exp (* x (pow y 2))) 3) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (fma x (pow y 2) (fma 1/2 (* (pow x 2) (pow y 4)) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 0.269 * * * [progress]: adding candidates to table 0.326 * * [progress]: iteration 2 / 4 0.326 * * * [progress]: picking best candidate 0.328 * * * * [pick]: Picked # 0.328 * * * [progress]: localizing error 0.337 * * * [progress]: generating rewritten candidates 0.337 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.352 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.365 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.378 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.405 * * * [progress]: generating series expansions 0.405 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.405 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.405 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.405 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.405 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.405 * [taylor]: Taking taylor expansion of 1/3 in y 0.405 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.405 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.405 * [taylor]: Taking taylor expansion of x in y 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.406 * [taylor]: Taking taylor expansion of 1/3 in x 0.406 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.406 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.407 * [taylor]: Taking taylor expansion of 1/3 in x 0.408 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.408 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.409 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.409 * [taylor]: Taking taylor expansion of 1/3 in y 0.409 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.409 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of (log x) in y 0.409 * [taylor]: Taking taylor expansion of x in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.431 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.431 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.431 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.431 * [taylor]: Taking taylor expansion of 1/3 in y 0.431 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.431 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.432 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.432 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.432 * [taylor]: Taking taylor expansion of 1/3 in x 0.432 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.432 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.433 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.433 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.433 * [taylor]: Taking taylor expansion of 1/3 in x 0.433 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.433 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.434 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.434 * [taylor]: Taking taylor expansion of 1/3 in y 0.434 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.434 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (log x) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.456 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.456 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.456 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.456 * [taylor]: Taking taylor expansion of -1 in y 0.457 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.457 * [taylor]: Taking taylor expansion of 1/3 in y 0.457 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.457 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.457 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.458 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.458 * [taylor]: Taking taylor expansion of -1 in x 0.459 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.459 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.459 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.459 * [taylor]: Taking taylor expansion of 1/3 in x 0.459 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.459 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.460 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.460 * [taylor]: Taking taylor expansion of -1 in x 0.461 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.461 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.461 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.461 * [taylor]: Taking taylor expansion of 1/3 in x 0.461 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.461 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.461 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.462 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.462 * [taylor]: Taking taylor expansion of -1 in y 0.463 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.463 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.463 * [taylor]: Taking taylor expansion of 1/3 in y 0.463 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.463 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of (log x) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.490 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.490 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.490 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.490 * [taylor]: Taking taylor expansion of 1/3 in y 0.490 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.490 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.491 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.491 * [taylor]: Taking taylor expansion of 1/3 in x 0.491 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.491 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.492 * [taylor]: Taking taylor expansion of 1/3 in x 0.492 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.492 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.493 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.493 * [taylor]: Taking taylor expansion of 1/3 in y 0.493 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.493 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of (log x) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.515 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.515 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.515 * [taylor]: Taking taylor expansion of 1/3 in y 0.515 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.515 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.515 * [taylor]: Taking taylor expansion of x in y 0.516 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.516 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.516 * [taylor]: Taking taylor expansion of 1/3 in x 0.516 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.516 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.518 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.518 * [taylor]: Taking taylor expansion of 1/3 in x 0.518 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.518 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.519 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.519 * [taylor]: Taking taylor expansion of 1/3 in y 0.519 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.519 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of (log x) in y 0.520 * [taylor]: Taking taylor expansion of x in y 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.530 * [taylor]: Taking taylor expansion of 0 in y 0.541 * [taylor]: Taking taylor expansion of 0 in y 0.541 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.541 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.541 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.541 * [taylor]: Taking taylor expansion of -1 in y 0.542 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.542 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.542 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.542 * [taylor]: Taking taylor expansion of 1/3 in y 0.542 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.542 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.542 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.542 * [taylor]: Taking taylor expansion of x in y 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.543 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.543 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.543 * [taylor]: Taking taylor expansion of -1 in x 0.544 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.544 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.544 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.544 * [taylor]: Taking taylor expansion of 1/3 in x 0.544 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.544 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.545 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.545 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.545 * [taylor]: Taking taylor expansion of -1 in x 0.546 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.546 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.546 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.546 * [taylor]: Taking taylor expansion of 1/3 in x 0.546 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.546 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.548 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.548 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.548 * [taylor]: Taking taylor expansion of -1 in y 0.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.548 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.548 * [taylor]: Taking taylor expansion of 1/3 in y 0.548 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.548 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of (log x) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.575 * [taylor]: Taking taylor expansion of 0 in y 0.576 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.576 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in (x y) around 0 0.576 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in y 0.576 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in y 0.576 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in y 0.576 * [taylor]: Taking taylor expansion of 1/3 in y 0.576 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in y 0.576 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.576 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.576 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.577 * [taylor]: Taking taylor expansion of 1/3 in x 0.577 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.577 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 1/3) in x 0.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (pow y 2))))) in x 0.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (pow y 2)))) in x 0.578 * [taylor]: Taking taylor expansion of 1/3 in x 0.578 * [taylor]: Taking taylor expansion of (log (* x (pow y 2))) in x 0.578 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow y 2)) (log x)))) in y 0.579 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow y 2)) (log x))) in y 0.579 * [taylor]: Taking taylor expansion of 1/3 in y 0.579 * [taylor]: Taking taylor expansion of (+ (log (pow y 2)) (log x)) in y 0.579 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.579 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.579 * [taylor]: Taking taylor expansion of (log x) in y 0.579 * [taylor]: Taking taylor expansion of x in y 0.582 * [taylor]: Taking taylor expansion of 0 in y 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.804 * [taylor]: Taking taylor expansion of 0 in y 0.804 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in (x y) around 0 0.804 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.804 * [taylor]: Taking taylor expansion of 1/3 in y 0.805 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.805 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.805 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.805 * [taylor]: Taking taylor expansion of x in y 0.805 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.805 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.805 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.805 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.805 * [taylor]: Taking taylor expansion of 1/3 in x 0.805 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.805 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.805 * [taylor]: Taking taylor expansion of y in x 0.807 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.807 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.807 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.807 * [taylor]: Taking taylor expansion of 1/3 in x 0.807 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.807 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.807 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.807 * [taylor]: Taking taylor expansion of y in x 0.808 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.808 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.808 * [taylor]: Taking taylor expansion of 1/3 in y 0.808 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.808 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of (log x) in y 0.809 * [taylor]: Taking taylor expansion of x in y 0.812 * [taylor]: Taking taylor expansion of 0 in y 0.819 * [taylor]: Taking taylor expansion of 0 in y 0.829 * [taylor]: Taking taylor expansion of 0 in y 0.829 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in (x y) around 0 0.829 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in y 0.829 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.829 * [taylor]: Taking taylor expansion of -1 in y 0.830 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in y 0.830 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in y 0.830 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in y 0.830 * [taylor]: Taking taylor expansion of 1/3 in y 0.830 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in y 0.830 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.830 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.830 * [taylor]: Taking taylor expansion of x in y 0.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.830 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.831 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.831 * [taylor]: Taking taylor expansion of -1 in x 0.831 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.831 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.831 * [taylor]: Taking taylor expansion of 1/3 in x 0.831 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.831 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.831 * [taylor]: Taking taylor expansion of y in x 0.832 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* x (pow y 2))) 1/3)) in x 0.833 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.833 * [taylor]: Taking taylor expansion of -1 in x 0.833 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 1/3) in x 0.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (pow y 2)))))) in x 0.833 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (pow y 2))))) in x 0.833 * [taylor]: Taking taylor expansion of 1/3 in x 0.833 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (pow y 2)))) in x 0.833 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.833 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.835 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x))))) in y 0.835 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.835 * [taylor]: Taking taylor expansion of -1 in y 0.835 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 2))) (log x)))) in y 0.836 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 2))) (log x))) in y 0.836 * [taylor]: Taking taylor expansion of 1/3 in y 0.836 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 2))) (log x)) in y 0.836 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.836 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.836 * [taylor]: Taking taylor expansion of (log x) in y 0.836 * [taylor]: Taking taylor expansion of x in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.849 * [taylor]: Taking taylor expansion of 0 in y 0.864 * [taylor]: Taking taylor expansion of 0 in y 0.864 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.864 * [approximate]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in (x y) around 0 0.864 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in y 0.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in y 0.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in y 0.864 * [taylor]: Taking taylor expansion of 1/3 in y 0.864 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in y 0.864 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.866 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in x 0.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in x 0.866 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in x 0.866 * [taylor]: Taking taylor expansion of 1/3 in x 0.866 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in x 0.866 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.866 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow y 4)) 1/3) in x 0.867 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow x 2) (pow y 4))))) in x 0.867 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow x 2) (pow y 4)))) in x 0.867 * [taylor]: Taking taylor expansion of 1/3 in x 0.867 * [taylor]: Taking taylor expansion of (log (* (pow x 2) (pow y 4))) in x 0.867 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.868 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (pow y 4))))) in y 0.868 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (pow y 4)))) in y 0.868 * [taylor]: Taking taylor expansion of 1/3 in y 0.868 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (pow y 4))) in y 0.868 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.868 * [taylor]: Taking taylor expansion of 2 in y 0.868 * [taylor]: Taking taylor expansion of (log x) in y 0.868 * [taylor]: Taking taylor expansion of x in y 0.868 * [taylor]: Taking taylor expansion of (log (pow y 4)) in y 0.868 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.872 * [taylor]: Taking taylor expansion of 0 in y 0.879 * [taylor]: Taking taylor expansion of 0 in y 0.895 * [taylor]: Taking taylor expansion of 0 in y 0.895 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in (x y) around 0 0.896 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in y 0.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in y 0.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in y 0.896 * [taylor]: Taking taylor expansion of 1/3 in y 0.896 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in y 0.896 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.896 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.896 * [taylor]: Taking taylor expansion of x in y 0.896 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.897 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.897 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.897 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.897 * [taylor]: Taking taylor expansion of 1/3 in x 0.897 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.897 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.897 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.897 * [taylor]: Taking taylor expansion of y in x 0.898 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.898 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.898 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.898 * [taylor]: Taking taylor expansion of 1/3 in x 0.898 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.898 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.898 * [taylor]: Taking taylor expansion of y in x 0.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x))))) in y 0.900 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))) in y 0.900 * [taylor]: Taking taylor expansion of 1/3 in y 0.900 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 4))) (* 2 (log x))) in y 0.900 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.900 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.900 * [taylor]: Taking taylor expansion of y in y 0.901 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.901 * [taylor]: Taking taylor expansion of 2 in y 0.901 * [taylor]: Taking taylor expansion of (log x) in y 0.901 * [taylor]: Taking taylor expansion of x in y 0.904 * [taylor]: Taking taylor expansion of 0 in y 0.913 * [taylor]: Taking taylor expansion of 0 in y 0.925 * [taylor]: Taking taylor expansion of 0 in y 0.925 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in (x y) around 0 0.925 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in y 0.925 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.925 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.925 * [taylor]: Taking taylor expansion of -1 in y 0.926 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in y 0.926 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in y 0.926 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in y 0.926 * [taylor]: Taking taylor expansion of 1/3 in y 0.926 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in y 0.926 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in y 0.926 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in y 0.926 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.926 * [taylor]: Taking taylor expansion of x in y 0.926 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.926 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in x 0.928 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.928 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.928 * [taylor]: Taking taylor expansion of -1 in x 0.928 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.928 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.928 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.928 * [taylor]: Taking taylor expansion of 1/3 in x 0.928 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.928 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.928 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.928 * [taylor]: Taking taylor expansion of y in x 0.930 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3)) in x 0.930 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.930 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.930 * [taylor]: Taking taylor expansion of -1 in x 0.930 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow y 4))) 1/3) in x 0.930 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4)))))) in x 0.930 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow y 4))))) in x 0.930 * [taylor]: Taking taylor expansion of 1/3 in x 0.930 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow y 4)))) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 4))) in x 0.930 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 4)) in x 0.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.931 * [taylor]: Taking taylor expansion of y in x 0.933 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))))) in y 0.933 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.933 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.933 * [taylor]: Taking taylor expansion of -1 in y 0.934 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x))))) in y 0.934 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow y 4))) (* 2 (log x)))) in y 0.934 * [taylor]: Taking taylor expansion of 1/3 in y 0.934 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow y 4))) (* 2 (log x))) in y 0.934 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.934 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.935 * [taylor]: Taking taylor expansion of 2 in y 0.935 * [taylor]: Taking taylor expansion of (log x) in y 0.935 * [taylor]: Taking taylor expansion of x in y 0.941 * [taylor]: Taking taylor expansion of 0 in y 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.969 * [taylor]: Taking taylor expansion of 0 in y 0.969 * * * [progress]: simplifying candidates 0.970 * [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))))))) 0.971 * [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))))))) 0.975 * * [simplify]: iteration 0 : 209 enodes (cost 467 ) 0.980 * * [simplify]: iteration 1 : 684 enodes (cost 410 ) 0.997 * * [simplify]: iteration 2 : 3048 enodes (cost 353 ) 1.066 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 1.068 * [simplify]: Simplified to: (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* x y) y) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* x y) y) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (cbrt (* (* x y) y))) (log1p (cbrt (* (* x y) y))) (log (cbrt (* (* x y) y))) (exp (cbrt (* (* x y) y))) (cbrt (* x y)) (cbrt y) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (cbrt (* (* x y) y))) (* (* x y) y) (sqrt (cbrt (* (* x y) y))) (sqrt (cbrt (* (* x y) y))) (expm1 (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (log1p (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) 2/3 2 (pow (cbrt (* (* x y) y)) 6) (pow (sqrt (cbrt (* (* x y) y))) 4) 2 (* 2 (log (cbrt (* (* x y) y)))) (* 2 (log (cbrt (* (* x y) y)))) (pow (exp 1) (pow (sqrt (cbrt (* (* x y) y))) 4)) (pow (cbrt (* (* x y) y)) 6) (* (cbrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (cbrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))))) (cbrt (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))) (pow (cbrt (* (* x y) y)) 6) (fabs (cbrt (* (* x y) y))) (fabs (cbrt (* (* x y) y))) (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt y) (cbrt y)) (pow (cbrt (cbrt (* (* x y) y))) 4) (* (cbrt (cbrt (* (* x y) y))) (cbrt (cbrt (* (* x y) y)))) (cbrt (* (* x y) y)) (cbrt (* (* x y) y)) 1 (pow (sqrt (cbrt (* (* x y) y))) 4) (cbrt (* (* x y) y)) (cbrt (* (* x y) y)) 2/3 2 (* (cbrt (* (* x y) y)) (cbrt (* x y))) (pow (cbrt (cbrt (* (* x y) y))) 5) (pow (sqrt (cbrt (* (* x y) y))) 3) (cbrt (* (* x y) y)) (* (cbrt y) (cbrt (* (* x y) y))) (pow (cbrt (cbrt (* (* x y) y))) 4) (pow (sqrt (cbrt (* (* x y) y))) 3) (pow (sqrt (cbrt (* (* x y) y))) 4) (cbrt (* (* x y) y)) (/ (pow (/ 1 y) -2/3) (pow x -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -1/3)) (cbrt (* (* x y) y)) (/ (pow (/ 1 y) -2/3) (pow x -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -1/3)) (cbrt (* (* x y) y)) (/ (pow (/ 1 y) -2/3) (pow x -1/3)) (* (* (cbrt -1) (pow (/ -1 y) -2/3)) (pow (/ -1 x) -1/3)) (* (pow y 4/3) (pow x 2/3)) (* (pow (/ 1 y) -4/3) (pow (/ 1 x) -2/3)) (* (* (pow (cbrt -1) 2) (pow (/ -1 y) -4/3)) (pow (/ -1 x) -2/3)) 1.069 * * * [progress]: adding candidates to table 1.258 * [progress]: [Phase 3 of 3] Extracting. 1.260 * [simplify]: Simplifying using # : (exp (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)))) 1.260 * [simplify]: Sending expressions to egg_math: (exp (* (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (cbrt (* (* h0 h1) h1)))) 1.260 * * [simplify]: iteration 0 : 11 enodes (cost 12 ) 1.261 * * [simplify]: iteration 1 : 11 enodes (cost 12 ) 1.261 * [simplify]: Simplified to: (exp (* (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)))) 1.770 * [regime-testing]: End program error score: 0.018333599471815214