21.442 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.061 * * * [progress]: [2/2] Setting up program. 0.063 * [progress]: [Phase 2 of 3] Improving. 0.064 * [simplify]: Simplifying using # : (/ (exp (* x (log (/ x (+ x y))))) x) 0.066 * * [simplify]: iteration 0 : 15 enodes (cost 6 ) 0.067 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 0.069 * * [simplify]: iteration 2 : 51 enodes (cost 6 ) 0.070 * * [simplify]: iteration 3 : 108 enodes (cost 6 ) 0.072 * * [simplify]: iteration 4 : 310 enodes (cost 4 ) 0.077 * * [simplify]: iteration 5 : 792 enodes (cost 4 ) 0.090 * * [simplify]: iteration 6 : 4192 enodes (cost 4 ) 0.173 * * [simplify]: iteration 7 : 5002 enodes (cost 4 ) 0.173 * [simplify]: Simplified to: (/ (pow (/ x (+ x y)) x) x) 0.176 * * [progress]: iteration 1 / 4 0.176 * * * [progress]: picking best candidate 0.177 * * * * [pick]: Picked # 0.177 * * * [progress]: localizing error 0.183 * * * [progress]: generating rewritten candidates 0.184 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.190 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.197 * * * [progress]: generating series expansions 0.197 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.197 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) x) in (x y) around 0 0.197 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) x) in y 0.197 * [taylor]: Taking taylor expansion of (exp (* x (log (/ x (+ x y))))) in y 0.197 * [taylor]: Taking taylor expansion of (* x (log (/ x (+ x y)))) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.197 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of (+ x y) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) x) in x 0.199 * [taylor]: Taking taylor expansion of (exp (* x (log (/ x (+ x y))))) in x 0.199 * [taylor]: Taking taylor expansion of (* x (log (/ x (+ x y)))) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.199 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (+ x y) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) x) in x 0.200 * [taylor]: Taking taylor expansion of (exp (* x (log (/ x (+ x y))))) in x 0.200 * [taylor]: Taking taylor expansion of (* x (log (/ x (+ x y)))) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.200 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (+ x y) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.202 * [taylor]: Taking taylor expansion of 1 in y 0.202 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.202 * [taylor]: Taking taylor expansion of (log x) in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (- (+ (* (log x) (log (/ 1 y))) (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (/ 1 y)) 2)))) (/ 1 y)) in y 0.205 * [taylor]: Taking taylor expansion of (+ (* (log x) (log (/ 1 y))) (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (/ 1 y)) 2)))) in y 0.205 * [taylor]: Taking taylor expansion of (* (log x) (log (/ 1 y))) in y 0.205 * [taylor]: Taking taylor expansion of (log x) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (/ 1 y)) 2))) in y 0.205 * [taylor]: Taking taylor expansion of (* 1/2 (pow (log x) 2)) in y 0.205 * [taylor]: Taking taylor expansion of 1/2 in y 0.205 * [taylor]: Taking taylor expansion of (pow (log x) 2) in y 0.205 * [taylor]: Taking taylor expansion of (log x) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (* 1/2 (pow (log (/ 1 y)) 2)) in y 0.205 * [taylor]: Taking taylor expansion of 1/2 in y 0.205 * [taylor]: Taking taylor expansion of (pow (log (/ 1 y)) 2) in y 0.205 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.210 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 0.210 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.210 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.210 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.210 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.211 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.211 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.216 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.216 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.221 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (- (/ 1 y))) (pow y 2))) in y 0.225 * [taylor]: Taking taylor expansion of 1/2 in y 0.225 * [taylor]: Taking taylor expansion of (/ (exp (- (/ 1 y))) (pow y 2)) in y 0.225 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.225 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (* (- (* 1/8 (/ 1 (pow y 4))) (* 1/3 (/ 1 (pow y 3)))) (exp (- (/ 1 y)))) in y 0.242 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow y 4))) (* 1/3 (/ 1 (pow y 3)))) in y 0.242 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow y 4))) in y 0.242 * [taylor]: Taking taylor expansion of 1/8 in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.242 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow y 3))) in y 0.243 * [taylor]: Taking taylor expansion of 1/3 in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.243 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.244 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 y))) (- (+ (* 1/48 (/ 1 (pow y 6))) (* 1/4 (/ 1 (pow y 4)))) (* 1/6 (/ 1 (pow y 5))))) in y 0.272 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (- (+ (* 1/48 (/ 1 (pow y 6))) (* 1/4 (/ 1 (pow y 4)))) (* 1/6 (/ 1 (pow y 5)))) in y 0.272 * [taylor]: Taking taylor expansion of (+ (* 1/48 (/ 1 (pow y 6))) (* 1/4 (/ 1 (pow y 4)))) in y 0.272 * [taylor]: Taking taylor expansion of (* 1/48 (/ 1 (pow y 6))) in y 0.272 * [taylor]: Taking taylor expansion of 1/48 in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.273 * [taylor]: Taking taylor expansion of 1/4 in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 5))) in y 0.274 * [taylor]: Taking taylor expansion of 1/6 in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.274 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.319 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in (x y) around 0 0.319 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in y 0.319 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.319 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.319 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.319 * [taylor]: Taking taylor expansion of -1 in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.319 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.320 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in x 0.320 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.320 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.320 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.320 * [taylor]: Taking taylor expansion of -1 in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.320 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in x 0.325 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.325 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.325 * [taylor]: Taking taylor expansion of -1 in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.325 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of (* -1/2 (/ (exp (/ 1 y)) (pow y 2))) in y 0.334 * [taylor]: Taking taylor expansion of -1/2 in y 0.334 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 y)) (pow y 2)) in y 0.334 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/8 (/ 1 (pow y 4))))) in y 0.343 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow y 3))) (* 1/8 (/ 1 (pow y 4)))) in y 0.343 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow y 3))) in y 0.343 * [taylor]: Taking taylor expansion of 1/3 in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.343 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow y 4))) in y 0.344 * [taylor]: Taking taylor expansion of 1/8 in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) (+ (* 1/48 (/ 1 (pow y 6))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 5))))))) in y 0.368 * [taylor]: Taking taylor expansion of -1 in y 0.369 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) (+ (* 1/48 (/ 1 (pow y 6))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 5)))))) in y 0.369 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (+ (* 1/48 (/ 1 (pow y 6))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 5))))) in y 0.369 * [taylor]: Taking taylor expansion of (* 1/48 (/ 1 (pow y 6))) in y 0.369 * [taylor]: Taking taylor expansion of 1/48 in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.369 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 5)))) in y 0.370 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.370 * [taylor]: Taking taylor expansion of 1/4 in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 5))) in y 0.371 * [taylor]: Taking taylor expansion of 1/6 in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.371 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.420 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.420 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.420 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of (+ x y) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (+ x y) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (+ x y) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.424 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.431 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.431 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.431 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.431 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.433 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of 1 in y 0.436 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.443 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.443 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.443 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.444 * [taylor]: Taking taylor expansion of x in y 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.444 * [taylor]: Taking taylor expansion of x in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.444 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.446 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of 1 in y 0.449 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.456 * * * [progress]: simplifying candidates 0.457 * [simplify]: Simplifying using # : (expm1 (pow (/ x (+ x y)) x)) (log1p (pow (/ x (+ x y)) x)) (* (- (log x) (log (+ x y))) x) (* (log (/ x (+ x y))) x) (* (log (/ x (+ x y))) x) (* 1 x) (pow (/ x (+ x y)) (* (cbrt x) (cbrt x))) (pow (/ x (+ x y)) (sqrt x)) (pow (/ x (+ x y)) 1) (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x) (pow (cbrt (/ x (+ x y))) x) (pow (sqrt (/ x (+ x y))) x) (pow (sqrt (/ x (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) x) (pow (/ (cbrt x) (sqrt (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) 1) x) (pow (/ (cbrt x) (+ x y)) x) (pow (/ (* (cbrt x) (cbrt x)) 1) x) (pow (/ (cbrt x) (+ x y)) x) (pow (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (sqrt x) (cbrt (+ x y))) x) (pow (/ (sqrt x) (sqrt (+ x y))) x) (pow (/ (sqrt x) (sqrt (+ x y))) x) (pow (/ (sqrt x) 1) x) (pow (/ (sqrt x) (+ x y)) x) (pow (/ (sqrt x) 1) x) (pow (/ (sqrt x) (+ x y)) x) (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ x (cbrt (+ x y))) x) (pow (/ 1 (sqrt (+ x y))) x) (pow (/ x (sqrt (+ x y))) x) (pow (/ 1 1) x) (pow (/ x (+ x y)) x) (pow (/ 1 1) x) (pow (/ x (+ x y)) x) (pow 1 x) (pow (/ x (+ x y)) x) (pow x x) (pow (/ 1 (+ x y)) x) (pow (/ x (+ (pow x 3) (pow y 3))) x) (pow (+ (* x x) (- (* y y) (* x y))) x) (pow (/ x (- (* x x) (* y y))) x) (pow (- x y) x) (log (pow (/ x (+ x y)) x)) (exp (pow (/ x (+ x y)) x)) (* (cbrt (pow (/ x (+ x y)) x)) (cbrt (pow (/ x (+ x y)) x))) (cbrt (pow (/ x (+ x y)) x)) (* (* (pow (/ x (+ x y)) x) (pow (/ x (+ x y)) x)) (pow (/ x (+ x y)) x)) (sqrt (pow (/ x (+ x y)) x)) (sqrt (pow (/ x (+ x y)) x)) (pow (/ x (+ x y)) (/ x 2)) (pow (/ x (+ x y)) (/ x 2)) (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (- (+ (* 1/2 (* (pow x 2) (pow (log y) 2))) (+ (* (log x) x) (+ (* 1/2 (* (pow (log x) 2) (pow x 2))) 1))) (+ (* x (log y)) (* (log x) (* (pow x 2) (log y))))) (exp (- y)) (exp (* -1 y)) 0 0 0 0.462 * * [simplify]: iteration 0 : 320 enodes (cost 413 ) 0.468 * * [simplify]: iteration 1 : 1304 enodes (cost 399 ) 0.491 * * [simplify]: iteration 2 : 5002 enodes (cost 398 ) 0.498 * [simplify]: Simplified to: (expm1 (pow (/ x (+ x y)) x)) (log1p (pow (/ x (+ x y)) x)) (log (pow (/ x (+ x y)) x)) (log (pow (/ x (+ x y)) x)) (log (pow (/ x (+ x y)) x)) x (pow (/ x (+ x y)) (* (cbrt x) (cbrt x))) (pow (/ x (+ x y)) (sqrt x)) (/ x (+ x y)) (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x) (pow (cbrt (/ x (+ x y))) x) (pow (sqrt (/ x (+ x y))) x) (pow (sqrt (/ x (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) x) (pow (/ (cbrt x) (sqrt (+ x y))) x) (pow (/ (* (cbrt x) (cbrt x)) 1) x) (pow (/ (cbrt x) (+ x y)) x) (pow (/ (* (cbrt x) (cbrt x)) 1) x) (pow (/ (cbrt x) (+ x y)) x) (pow (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (sqrt x) (cbrt (+ x y))) x) (pow (/ (sqrt x) (sqrt (+ x y))) x) (pow (/ (sqrt x) (sqrt (+ x y))) x) (pow (/ (sqrt x) 1) x) (pow (/ (sqrt x) (+ x y)) x) (pow (/ (sqrt x) 1) x) (pow (/ (sqrt x) (+ x y)) x) (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ x (cbrt (+ x y))) x) (pow (/ 1 (sqrt (+ x y))) x) (pow (/ x (sqrt (+ x y))) x) 1 (pow (/ x (+ x y)) x) 1 (pow (/ x (+ x y)) x) 1 (pow (/ x (+ x y)) x) (pow x x) (pow (/ 1 (+ x y)) x) (pow (/ x (+ (pow x 3) (pow y 3))) x) (pow (+ (* x x) (- (* y y) (* x y))) x) (pow (/ x (- (* x x) (* y y))) x) (pow (- x y) x) (log (pow (/ x (+ x y)) x)) (exp (pow (/ x (+ x y)) x)) (* (cbrt (pow (/ x (+ x y)) x)) (cbrt (pow (/ x (+ x y)) x))) (cbrt (pow (/ x (+ x y)) x)) (pow (pow (/ x (+ x y)) x) 3) (sqrt (pow (/ x (+ x y)) x)) (sqrt (pow (/ x (+ x y)) x)) (pow (/ x (+ x y)) (/ x 2)) (pow (/ x (+ x y)) (/ x 2)) (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 1/2) (pow (/ x (+ x y)) 1/2) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (- (fma (log x) x (fma 1/2 (* (pow (log x) 2) (pow x 2)) 1)) (- (* (log y) (fma (* (log x) x) x x)) (* 1/2 (* (pow x 2) (pow (log y) 2))))) (exp (* -1 y)) (exp (* -1 y)) 0 0 0 0.499 * * * [progress]: adding candidates to table 0.626 * * [progress]: iteration 2 / 4 0.626 * * * [progress]: picking best candidate 0.632 * * * * [pick]: Picked # 0.632 * * * [progress]: localizing error 0.648 * * * [progress]: generating rewritten candidates 0.648 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.662 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 0.664 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2) 0.665 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 0.668 * * * [progress]: generating series expansions 0.668 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.668 * [approximate]: Taking taylor expansion of (pow (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) x) in (x y) around 0 0.668 * [taylor]: Taking taylor expansion of (pow (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) x) in y 0.668 * [taylor]: Taking taylor expansion of (exp (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)))) in y 0.668 * [taylor]: Taking taylor expansion of (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3))) in y 0.668 * [taylor]: Taking taylor expansion of x in y 0.668 * [taylor]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)) in y 0.668 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in y 0.668 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in y 0.668 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in y 0.668 * [taylor]: Taking taylor expansion of 1/3 in y 0.669 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in y 0.669 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in y 0.669 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.669 * [taylor]: Taking taylor expansion of x in y 0.669 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.669 * [taylor]: Taking taylor expansion of (+ x y) in y 0.669 * [taylor]: Taking taylor expansion of x in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.672 * [taylor]: Taking taylor expansion of (pow (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) x) in x 0.672 * [taylor]: Taking taylor expansion of (exp (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)))) in x 0.672 * [taylor]: Taking taylor expansion of (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3))) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)) in x 0.672 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in x 0.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in x 0.672 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in x 0.672 * [taylor]: Taking taylor expansion of 1/3 in x 0.672 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in x 0.672 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in x 0.672 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.672 * [taylor]: Taking taylor expansion of (+ x y) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.676 * [taylor]: Taking taylor expansion of (pow (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) x) in x 0.676 * [taylor]: Taking taylor expansion of (exp (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)))) in x 0.676 * [taylor]: Taking taylor expansion of (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3))) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)) in x 0.676 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in x 0.676 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in x 0.676 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in x 0.676 * [taylor]: Taking taylor expansion of 1/3 in x 0.676 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in x 0.676 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.676 * [taylor]: Taking taylor expansion of (+ x y) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of y in x 0.680 * [taylor]: Taking taylor expansion of 1 in y 0.680 * [taylor]: Taking taylor expansion of (+ (* 2/3 (log x)) (* 1/3 (log (/ 1 (pow y 2))))) in y 0.680 * [taylor]: Taking taylor expansion of (* 2/3 (log x)) in y 0.680 * [taylor]: Taking taylor expansion of 2/3 in y 0.680 * [taylor]: Taking taylor expansion of (log x) in y 0.680 * [taylor]: Taking taylor expansion of x in y 0.680 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.680 * [taylor]: Taking taylor expansion of 1/3 in y 0.680 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of (- (+ (* 2/9 (pow (log x) 2)) (+ (* 2/9 (* (log x) (log (/ 1 (pow y 2))))) (* 1/18 (pow (log (/ 1 (pow y 2))) 2)))) (* 2/3 (/ 1 y))) in y 0.686 * [taylor]: Taking taylor expansion of (+ (* 2/9 (pow (log x) 2)) (+ (* 2/9 (* (log x) (log (/ 1 (pow y 2))))) (* 1/18 (pow (log (/ 1 (pow y 2))) 2)))) in y 0.686 * [taylor]: Taking taylor expansion of (* 2/9 (pow (log x) 2)) in y 0.686 * [taylor]: Taking taylor expansion of 2/9 in y 0.686 * [taylor]: Taking taylor expansion of (pow (log x) 2) in y 0.686 * [taylor]: Taking taylor expansion of (log x) in y 0.686 * [taylor]: Taking taylor expansion of x in y 0.686 * [taylor]: Taking taylor expansion of (+ (* 2/9 (* (log x) (log (/ 1 (pow y 2))))) (* 1/18 (pow (log (/ 1 (pow y 2))) 2))) in y 0.686 * [taylor]: Taking taylor expansion of (* 2/9 (* (log x) (log (/ 1 (pow y 2))))) in y 0.686 * [taylor]: Taking taylor expansion of 2/9 in y 0.686 * [taylor]: Taking taylor expansion of (* (log x) (log (/ 1 (pow y 2)))) in y 0.686 * [taylor]: Taking taylor expansion of (log x) in y 0.686 * [taylor]: Taking taylor expansion of x in y 0.686 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of (* 1/18 (pow (log (/ 1 (pow y 2))) 2)) in y 0.687 * [taylor]: Taking taylor expansion of 1/18 in y 0.687 * [taylor]: Taking taylor expansion of (pow (log (/ 1 (pow y 2))) 2) in y 0.687 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 y)) in y 0.688 * [taylor]: Taking taylor expansion of 2/3 in y 0.688 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.696 * [approximate]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ 1 x)) in (x y) around 0 0.696 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ 1 x)) in y 0.696 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in y 0.696 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.696 * [taylor]: Taking taylor expansion of x in y 0.696 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in y 0.696 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in y 0.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in y 0.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 0.696 * [taylor]: Taking taylor expansion of 1/3 in y 0.696 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.696 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.696 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.696 * [taylor]: Taking taylor expansion of x in y 0.696 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.696 * [taylor]: Taking taylor expansion of x in y 0.698 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ 1 x)) in x 0.698 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in x 0.698 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in x 0.698 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.698 * [taylor]: Taking taylor expansion of 1/3 in x 0.698 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.699 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.699 * [taylor]: Taking taylor expansion of y in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ 1 x)) in x 0.704 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in x 0.704 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in x 0.705 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.705 * [taylor]: Taking taylor expansion of 1/3 in x 0.705 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.705 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.705 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.705 * [taylor]: Taking taylor expansion of y in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of (exp (- (* 2/3 (/ 1 y)))) in y 0.710 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ 1 y))) in y 0.710 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 y)) in y 0.710 * [taylor]: Taking taylor expansion of 2/3 in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.717 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (- (* 2/3 (/ 1 y)))) (pow y 2))) in y 0.717 * [taylor]: Taking taylor expansion of 1/3 in y 0.717 * [taylor]: Taking taylor expansion of (/ (exp (- (* 2/3 (/ 1 y)))) (pow y 2)) in y 0.717 * [taylor]: Taking taylor expansion of (exp (- (* 2/3 (/ 1 y)))) in y 0.717 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ 1 y))) in y 0.717 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 y)) in y 0.717 * [taylor]: Taking taylor expansion of 2/3 in y 0.717 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.717 * [taylor]: Taking taylor expansion of y in y 0.718 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (* (- (* 1/18 (/ 1 (pow y 4))) (* 2/9 (/ 1 (pow y 3)))) (exp (- (* 2/3 (/ 1 y))))) in y 0.729 * [taylor]: Taking taylor expansion of (- (* 1/18 (/ 1 (pow y 4))) (* 2/9 (/ 1 (pow y 3)))) in y 0.729 * [taylor]: Taking taylor expansion of (* 1/18 (/ 1 (pow y 4))) in y 0.729 * [taylor]: Taking taylor expansion of 1/18 in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.729 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of (* 2/9 (/ 1 (pow y 3))) in y 0.730 * [taylor]: Taking taylor expansion of 2/9 in y 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.730 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of (exp (- (* 2/3 (/ 1 y)))) in y 0.730 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ 1 y))) in y 0.730 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 y)) in y 0.730 * [taylor]: Taking taylor expansion of 2/3 in y 0.730 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/162 (/ 1 (pow y 6))) (* 1/6 (/ 1 (pow y 4)))) (* 2/27 (/ 1 (pow y 5)))) (exp (- (* 2/3 (/ 1 y))))) in y 0.762 * [taylor]: Taking taylor expansion of (- (+ (* 1/162 (/ 1 (pow y 6))) (* 1/6 (/ 1 (pow y 4)))) (* 2/27 (/ 1 (pow y 5)))) in y 0.762 * [taylor]: Taking taylor expansion of (+ (* 1/162 (/ 1 (pow y 6))) (* 1/6 (/ 1 (pow y 4)))) in y 0.762 * [taylor]: Taking taylor expansion of (* 1/162 (/ 1 (pow y 6))) in y 0.762 * [taylor]: Taking taylor expansion of 1/162 in y 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.762 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.763 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 4))) in y 0.763 * [taylor]: Taking taylor expansion of 1/6 in y 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.763 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of (* 2/27 (/ 1 (pow y 5))) in y 0.764 * [taylor]: Taking taylor expansion of 2/27 in y 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.764 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.764 * [taylor]: Taking taylor expansion of y in y 0.765 * [taylor]: Taking taylor expansion of (exp (- (* 2/3 (/ 1 y)))) in y 0.765 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ 1 y))) in y 0.765 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 y)) in y 0.765 * [taylor]: Taking taylor expansion of 2/3 in y 0.765 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.765 * [taylor]: Taking taylor expansion of y in y 0.813 * [approximate]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ -1 x)) in (x y) around 0 0.813 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ -1 x)) in y 0.813 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in y 0.813 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in y 0.813 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.813 * [taylor]: Taking taylor expansion of -1 in y 0.813 * [taylor]: Taking taylor expansion of x in y 0.813 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in y 0.813 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in y 0.813 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in y 0.813 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 0.813 * [taylor]: Taking taylor expansion of 1/3 in y 0.813 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.813 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.814 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.814 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.814 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.816 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ -1 x)) in x 0.816 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in x 0.816 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in x 0.816 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.816 * [taylor]: Taking taylor expansion of -1 in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in x 0.816 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.816 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.816 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.816 * [taylor]: Taking taylor expansion of 1/3 in x 0.816 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.816 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.816 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ -1 x)) in x 0.822 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in x 0.822 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in x 0.822 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.822 * [taylor]: Taking taylor expansion of -1 in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in x 0.822 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.822 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.822 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.822 * [taylor]: Taking taylor expansion of 1/3 in x 0.822 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.822 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.822 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.822 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.828 * [taylor]: Taking taylor expansion of (exp (/ 2/3 y)) in y 0.828 * [taylor]: Taking taylor expansion of (/ 2/3 y) in y 0.828 * [taylor]: Taking taylor expansion of 2/3 in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (/ 2/3 y)) (pow y 2))) in y 0.834 * [taylor]: Taking taylor expansion of -1/3 in y 0.834 * [taylor]: Taking taylor expansion of (/ (exp (/ 2/3 y)) (pow y 2)) in y 0.834 * [taylor]: Taking taylor expansion of (exp (/ 2/3 y)) in y 0.834 * [taylor]: Taking taylor expansion of (/ 2/3 y) in y 0.834 * [taylor]: Taking taylor expansion of 2/3 in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.846 * [taylor]: Taking taylor expansion of (* (+ (* 2/9 (/ 1 (pow y 3))) (* 1/18 (/ 1 (pow y 4)))) (exp (/ 2/3 y))) in y 0.846 * [taylor]: Taking taylor expansion of (+ (* 2/9 (/ 1 (pow y 3))) (* 1/18 (/ 1 (pow y 4)))) in y 0.846 * [taylor]: Taking taylor expansion of (* 2/9 (/ 1 (pow y 3))) in y 0.846 * [taylor]: Taking taylor expansion of 2/9 in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.846 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.846 * [taylor]: Taking taylor expansion of (* 1/18 (/ 1 (pow y 4))) in y 0.846 * [taylor]: Taking taylor expansion of 1/18 in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.846 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of (exp (/ 2/3 y)) in y 0.847 * [taylor]: Taking taylor expansion of (/ 2/3 y) in y 0.847 * [taylor]: Taking taylor expansion of 2/3 in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/162 (/ 1 (pow y 6))) (+ (* 1/6 (/ 1 (pow y 4))) (* 2/27 (/ 1 (pow y 5))))) (exp (/ 2/3 y)))) in y 0.891 * [taylor]: Taking taylor expansion of -1 in y 0.891 * [taylor]: Taking taylor expansion of (* (+ (* 1/162 (/ 1 (pow y 6))) (+ (* 1/6 (/ 1 (pow y 4))) (* 2/27 (/ 1 (pow y 5))))) (exp (/ 2/3 y))) in y 0.891 * [taylor]: Taking taylor expansion of (+ (* 1/162 (/ 1 (pow y 6))) (+ (* 1/6 (/ 1 (pow y 4))) (* 2/27 (/ 1 (pow y 5))))) in y 0.891 * [taylor]: Taking taylor expansion of (* 1/162 (/ 1 (pow y 6))) in y 0.891 * [taylor]: Taking taylor expansion of 1/162 in y 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.891 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.892 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow y 4))) (* 2/27 (/ 1 (pow y 5)))) in y 0.892 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 4))) in y 0.892 * [taylor]: Taking taylor expansion of 1/6 in y 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.892 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.892 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of (* 2/27 (/ 1 (pow y 5))) in y 0.893 * [taylor]: Taking taylor expansion of 2/27 in y 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.893 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of (exp (/ 2/3 y)) in y 0.894 * [taylor]: Taking taylor expansion of (/ 2/3 y) in y 0.894 * [taylor]: Taking taylor expansion of 2/3 in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.945 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 0.945 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.945 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.945 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.945 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.945 * [taylor]: Taking taylor expansion of 1/3 in x 0.945 * [taylor]: Taking taylor expansion of (log x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.946 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.946 * [taylor]: Taking taylor expansion of 1/3 in x 0.946 * [taylor]: Taking taylor expansion of (log x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.994 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.994 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.994 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.994 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.994 * [taylor]: Taking taylor expansion of 1/3 in x 0.994 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.995 * [taylor]: Taking taylor expansion of 1/3 in x 0.995 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 1.052 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.052 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.052 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.052 * [taylor]: Taking taylor expansion of -1 in x 1.053 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.053 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.053 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.053 * [taylor]: Taking taylor expansion of 1/3 in x 1.053 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.054 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.054 * [taylor]: Taking taylor expansion of -1 in x 1.055 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.055 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.055 * [taylor]: Taking taylor expansion of 1/3 in x 1.055 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.121 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2) 1.121 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.121 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.121 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.121 * [taylor]: Taking taylor expansion of 1/3 in x 1.121 * [taylor]: Taking taylor expansion of (log x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.121 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.121 * [taylor]: Taking taylor expansion of 1/3 in x 1.122 * [taylor]: Taking taylor expansion of (log x) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.174 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.174 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.174 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.174 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.174 * [taylor]: Taking taylor expansion of 1/3 in x 1.174 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.175 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.175 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.175 * [taylor]: Taking taylor expansion of 1/3 in x 1.175 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.224 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.224 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.224 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.224 * [taylor]: Taking taylor expansion of -1 in x 1.225 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.225 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.225 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.225 * [taylor]: Taking taylor expansion of 1/3 in x 1.225 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.226 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.226 * [taylor]: Taking taylor expansion of -1 in x 1.226 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.226 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.226 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.226 * [taylor]: Taking taylor expansion of 1/3 in x 1.226 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.290 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 1.290 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.290 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.290 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.290 * [taylor]: Taking taylor expansion of 1/3 in x 1.290 * [taylor]: Taking taylor expansion of (log x) in x 1.290 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.291 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.291 * [taylor]: Taking taylor expansion of 1/3 in x 1.291 * [taylor]: Taking taylor expansion of (log x) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.342 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.342 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.342 * [taylor]: Taking taylor expansion of 1/3 in x 1.342 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.343 * [taylor]: Taking taylor expansion of 1/3 in x 1.343 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.397 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.398 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.398 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.398 * [taylor]: Taking taylor expansion of -1 in x 1.398 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.398 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.398 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.398 * [taylor]: Taking taylor expansion of 1/3 in x 1.398 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.399 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.399 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.399 * [taylor]: Taking taylor expansion of -1 in x 1.400 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.400 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.400 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.400 * [taylor]: Taking taylor expansion of 1/3 in x 1.400 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.464 * * * [progress]: simplifying candidates 1.465 * [simplify]: Simplifying using # : (expm1 (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (log1p (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (* (- (+ (log (cbrt x)) (log (cbrt x))) (+ (log (cbrt (+ x y))) (log (cbrt (+ x y))))) x) (* (- (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (* (- (log (* (cbrt x) (cbrt x))) (+ (log (cbrt (+ x y))) (log (cbrt (+ x y))))) x) (* (- (log (* (cbrt x) (cbrt x))) (log (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (* (log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (* (log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (* 1 x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt x) (cbrt x))) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (sqrt x)) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) 1) (pow (* (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))) x) (pow (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow 1 x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (* (cbrt x) (cbrt x)) x) (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (pow x 3) (pow y 3))))) x) (pow (* (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (+ (* x x) (- (* y y) (* x y))))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (- (* x x) (* y y))))) x) (pow (* (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (- x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (+ (pow x 3) (pow y 3))))) x) (pow (* (cbrt (- x y)) (cbrt (+ (* x x) (- (* y y) (* x y))))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) x) (pow (* (cbrt (- x y)) (cbrt (- x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ (pow x 3) (pow y 3))))) x) (pow (cbrt (+ (* x x) (- (* y y) (* x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (- (* x x) (* y y))))) x) (pow (cbrt (- x y)) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ x y)))) x) (pow (cbrt (+ (* x x) (- (* y y) (* x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (+ x y)))) x) (pow (cbrt (- x y)) x) (log (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (exp (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (* (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x))) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (* (* (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (sqrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (sqrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x 2)) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x 2)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (- (+ (* 2/9 (* (pow x 2) (pow (log y) 2))) (+ (* 2/3 (* (log x) x)) (+ (* 2/9 (* (pow (log x) 2) (pow x 2))) 1))) (+ (* 2/3 (* x (log y))) (* 4/9 (* (log x) (* (pow x 2) (log y)))))) (exp (- (* 2/3 y))) (exp (* -2/3 y)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.470 * * [simplify]: iteration 0 : 378 enodes (cost 644 ) 1.476 * * [simplify]: iteration 1 : 1170 enodes (cost 603 ) 1.496 * * [simplify]: iteration 2 : 4673 enodes (cost 584 ) 1.597 * * [simplify]: iteration 3 : 5001 enodes (cost 584 ) 1.600 * [simplify]: Simplified to: (expm1 (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (log1p (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (* (* x 2) (log (/ (cbrt x) (cbrt (+ x y))))) (* (* x 2) (log (/ (cbrt x) (cbrt (+ x y))))) (* (* x 2) (log (/ (cbrt x) (cbrt (+ x y))))) (* (* x 2) (log (/ (cbrt x) (cbrt (+ x y))))) (* (* x 2) (log (/ (cbrt x) (cbrt (+ x y))))) (* (* x 2) (log (/ (cbrt x) (cbrt (+ x y))))) x (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt x) (cbrt x))) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (sqrt x)) (/ (pow x 2/3) (* (cbrt (+ x y)) (cbrt (+ x y)))) (pow (* (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))) x) (pow (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2))) (pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2))) (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ (cbrt x) (cbrt (+ x y))) x) 1 (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (* (cbrt x) (cbrt x)) x) (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (pow x 3) (pow y 3))))) x) (pow (* (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (+ (* x x) (- (* y y) (* x y))))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (+ (pow x 3) (pow y 3))))) x) (pow (* (cbrt (- x y)) (cbrt (+ (* x x) (- (* y y) (* x y))))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (+ (pow x 3) (pow y 3))))) x) (pow (* (cbrt (- x y)) (cbrt (+ (* x x) (- (* y y) (* x y))))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) x) (pow (* (cbrt (- x y)) (cbrt (- x y))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ x y)))) x) (pow (cbrt (+ (* x x) (- (* y y) (* x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (+ x y)))) x) (pow (cbrt (- x y)) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ x y)))) x) (pow (cbrt (+ (* x x) (- (* y y) (* x y)))) x) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* x x) (* y y))) (cbrt (+ x y)))) x) (pow (cbrt (- x y)) x) (* (* x 2) (log (/ (cbrt x) (cbrt (+ x y))))) (exp (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (* (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x))) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (pow (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x) 3) (sqrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (sqrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x 2)) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x 2)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (fma (* 2/9 (pow x 2)) (pow (log y) 2) (- (fma 2/3 (* (log x) x) (fma 2/9 (* (pow (log x) 2) (pow x 2)) 1)) (fma 2/3 (* x (log y)) (* 4/9 (* (log x) (* (pow x 2) (log y))))))) (exp (* -2/3 y)) (exp (* -2/3 y)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.601 * * * [progress]: adding candidates to table 1.821 * * [progress]: iteration 3 / 4 1.821 * * * [progress]: picking best candidate 1.825 * * * * [pick]: Picked # 1.825 * * * [progress]: localizing error 1.845 * * * [progress]: generating rewritten candidates 1.845 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2) 1.852 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 1.853 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 1) 1.854 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2) 1.861 * * * [progress]: generating series expansions 1.861 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2) 1.861 * [approximate]: Taking taylor expansion of (log (pow (/ x (+ x y)) 1/3)) in (x y) around 0 1.861 * [taylor]: Taking taylor expansion of (log (pow (/ x (+ x y)) 1/3)) in y 1.861 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 1.861 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 1.861 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 1.861 * [taylor]: Taking taylor expansion of 1/3 in y 1.861 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 1.861 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.861 * [taylor]: Taking taylor expansion of x in y 1.861 * [taylor]: Taking taylor expansion of (+ x y) in y 1.862 * [taylor]: Taking taylor expansion of x in y 1.862 * [taylor]: Taking taylor expansion of y in y 1.864 * [taylor]: Taking taylor expansion of (log (pow (/ x (+ x y)) 1/3)) in x 1.864 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 1.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 1.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 1.864 * [taylor]: Taking taylor expansion of 1/3 in x 1.864 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 1.864 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.864 * [taylor]: Taking taylor expansion of x in x 1.864 * [taylor]: Taking taylor expansion of (+ x y) in x 1.864 * [taylor]: Taking taylor expansion of x in x 1.864 * [taylor]: Taking taylor expansion of y in x 1.864 * [taylor]: Taking taylor expansion of (log (pow (/ x (+ x y)) 1/3)) in x 1.864 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 1.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 1.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 1.864 * [taylor]: Taking taylor expansion of 1/3 in x 1.864 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 1.864 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.865 * [taylor]: Taking taylor expansion of (+ x y) in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.865 * [taylor]: Taking taylor expansion of y in x 1.865 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 1.865 * [taylor]: Taking taylor expansion of 1/3 in y 1.865 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 1.865 * [taylor]: Taking taylor expansion of (log x) in y 1.865 * [taylor]: Taking taylor expansion of x in y 1.865 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.865 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.865 * [taylor]: Taking taylor expansion of y in y 1.868 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 1.868 * [taylor]: Taking taylor expansion of -1/3 in y 1.868 * [taylor]: Taking taylor expansion of y in y 1.873 * [taylor]: Taking taylor expansion of (/ 1/6 (pow y 2)) in y 1.873 * [taylor]: Taking taylor expansion of 1/6 in y 1.873 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.873 * [taylor]: Taking taylor expansion of y in y 1.883 * [taylor]: Taking taylor expansion of (/ -1/9 (pow y 3)) in y 1.883 * [taylor]: Taking taylor expansion of -1/9 in y 1.884 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.884 * [taylor]: Taking taylor expansion of y in y 1.889 * [approximate]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in (x y) around 0 1.889 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in y 1.889 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 1.889 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 1.889 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 1.889 * [taylor]: Taking taylor expansion of 1/3 in y 1.889 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.889 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.889 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.889 * [taylor]: Taking taylor expansion of x in y 1.889 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.889 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.889 * [taylor]: Taking taylor expansion of y in y 1.889 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.889 * [taylor]: Taking taylor expansion of x in y 1.890 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in x 1.890 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.890 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.890 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.890 * [taylor]: Taking taylor expansion of 1/3 in x 1.890 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.890 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.890 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.890 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.890 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.890 * [taylor]: Taking taylor expansion of y in x 1.891 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.891 * [taylor]: Taking taylor expansion of x in x 1.895 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in x 1.895 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.895 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.895 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.895 * [taylor]: Taking taylor expansion of 1/3 in x 1.895 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.895 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.895 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.895 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.895 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.895 * [taylor]: Taking taylor expansion of y in x 1.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.899 * [taylor]: Taking taylor expansion of 0 in y 1.900 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 1.900 * [taylor]: Taking taylor expansion of -1/3 in y 1.900 * [taylor]: Taking taylor expansion of y in y 1.905 * [taylor]: Taking taylor expansion of (/ 1/6 (pow y 2)) in y 1.905 * [taylor]: Taking taylor expansion of 1/6 in y 1.905 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.905 * [taylor]: Taking taylor expansion of y in y 1.908 * [approximate]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in (x y) around 0 1.908 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in y 1.908 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 1.908 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 1.908 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 1.908 * [taylor]: Taking taylor expansion of 1/3 in y 1.908 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.908 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.908 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.908 * [taylor]: Taking taylor expansion of x in y 1.908 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.908 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.908 * [taylor]: Taking taylor expansion of y in y 1.908 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.908 * [taylor]: Taking taylor expansion of x in y 1.909 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in x 1.909 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.909 * [taylor]: Taking taylor expansion of 1/3 in x 1.909 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.909 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.909 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.909 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.909 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.909 * [taylor]: Taking taylor expansion of y in x 1.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.914 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in x 1.914 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 1.914 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 1.914 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.914 * [taylor]: Taking taylor expansion of 1/3 in x 1.914 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.914 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.914 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.914 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.914 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.914 * [taylor]: Taking taylor expansion of y in x 1.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.918 * [taylor]: Taking taylor expansion of 0 in y 1.919 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 1.919 * [taylor]: Taking taylor expansion of -1/3 in y 1.919 * [taylor]: Taking taylor expansion of y in y 1.929 * [taylor]: Taking taylor expansion of (/ 1/6 (pow y 2)) in y 1.929 * [taylor]: Taking taylor expansion of 1/6 in y 1.929 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.929 * [taylor]: Taking taylor expansion of y in y 1.932 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 1.932 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.932 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.932 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.932 * [taylor]: Taking taylor expansion of 1/3 in x 1.932 * [taylor]: Taking taylor expansion of (log x) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.932 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.932 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.932 * [taylor]: Taking taylor expansion of 1/3 in x 1.932 * [taylor]: Taking taylor expansion of (log x) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.978 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.978 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.978 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.978 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.978 * [taylor]: Taking taylor expansion of 1/3 in x 1.978 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.978 * [taylor]: Taking taylor expansion of x in x 1.979 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.979 * [taylor]: Taking taylor expansion of 1/3 in x 1.979 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.979 * [taylor]: Taking taylor expansion of x in x 2.034 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.034 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.034 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.034 * [taylor]: Taking taylor expansion of -1 in x 2.035 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.035 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.035 * [taylor]: Taking taylor expansion of 1/3 in x 2.035 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.035 * [taylor]: Taking taylor expansion of x in x 2.036 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.036 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.036 * [taylor]: Taking taylor expansion of -1 in x 2.036 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.036 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.036 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.036 * [taylor]: Taking taylor expansion of 1/3 in x 2.037 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.037 * [taylor]: Taking taylor expansion of x in x 2.102 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1 1) 2.102 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.102 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.102 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.102 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.102 * [taylor]: Taking taylor expansion of 1/3 in x 2.102 * [taylor]: Taking taylor expansion of (log x) in x 2.102 * [taylor]: Taking taylor expansion of x in x 2.103 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.103 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.103 * [taylor]: Taking taylor expansion of 1/3 in x 2.103 * [taylor]: Taking taylor expansion of (log x) in x 2.103 * [taylor]: Taking taylor expansion of x in x 2.156 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.156 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.156 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.156 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.156 * [taylor]: Taking taylor expansion of 1/3 in x 2.156 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.156 * [taylor]: Taking taylor expansion of x in x 2.157 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.157 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.157 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.157 * [taylor]: Taking taylor expansion of 1/3 in x 2.157 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.157 * [taylor]: Taking taylor expansion of x in x 2.206 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.206 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.206 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.206 * [taylor]: Taking taylor expansion of -1 in x 2.207 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.207 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.207 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.207 * [taylor]: Taking taylor expansion of 1/3 in x 2.207 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.207 * [taylor]: Taking taylor expansion of x in x 2.208 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.208 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.208 * [taylor]: Taking taylor expansion of -1 in x 2.209 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.209 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.209 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.209 * [taylor]: Taking taylor expansion of 1/3 in x 2.209 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.209 * [taylor]: Taking taylor expansion of x in x 2.275 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2) 2.275 * [approximate]: Taking taylor expansion of (pow (+ x y) 1/3) in (x y) around 0 2.275 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 2.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in y 2.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in y 2.275 * [taylor]: Taking taylor expansion of 1/3 in y 2.275 * [taylor]: Taking taylor expansion of (log (+ x y)) in y 2.275 * [taylor]: Taking taylor expansion of (+ x y) in y 2.275 * [taylor]: Taking taylor expansion of x in y 2.275 * [taylor]: Taking taylor expansion of y in y 2.275 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in x 2.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in x 2.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in x 2.275 * [taylor]: Taking taylor expansion of 1/3 in x 2.275 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 2.275 * [taylor]: Taking taylor expansion of (+ x y) in x 2.275 * [taylor]: Taking taylor expansion of x in x 2.275 * [taylor]: Taking taylor expansion of y in x 2.275 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in x 2.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in x 2.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in x 2.275 * [taylor]: Taking taylor expansion of 1/3 in x 2.275 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 2.275 * [taylor]: Taking taylor expansion of (+ x y) in x 2.275 * [taylor]: Taking taylor expansion of x in x 2.275 * [taylor]: Taking taylor expansion of y in x 2.276 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 2.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 2.276 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 2.276 * [taylor]: Taking taylor expansion of 1/3 in y 2.276 * [taylor]: Taking taylor expansion of (log y) in y 2.276 * [taylor]: Taking taylor expansion of y in y 2.277 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 2.277 * [taylor]: Taking taylor expansion of 1/3 in y 2.277 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 2.277 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 2.277 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 2.277 * [taylor]: Taking taylor expansion of 1/3 in y 2.277 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 2.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.277 * [taylor]: Taking taylor expansion of y in y 2.282 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow y 5)) 1/3)) in y 2.282 * [taylor]: Taking taylor expansion of -1/9 in y 2.282 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y 2.282 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y 2.282 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y 2.282 * [taylor]: Taking taylor expansion of 1/3 in y 2.282 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y 2.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 2.282 * [taylor]: Taking taylor expansion of (pow y 5) in y 2.282 * [taylor]: Taking taylor expansion of y in y 2.284 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in (x y) around 0 2.284 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 2.284 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 2.284 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 2.284 * [taylor]: Taking taylor expansion of 1/3 in y 2.284 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 2.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.284 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.284 * [taylor]: Taking taylor expansion of y in y 2.284 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.285 * [taylor]: Taking taylor expansion of x in y 2.285 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 2.285 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 2.285 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 2.285 * [taylor]: Taking taylor expansion of 1/3 in x 2.285 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 2.285 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.285 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.285 * [taylor]: Taking taylor expansion of y in x 2.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.286 * [taylor]: Taking taylor expansion of x in x 2.286 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 2.287 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 2.287 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 2.287 * [taylor]: Taking taylor expansion of 1/3 in x 2.287 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 2.287 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.287 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.287 * [taylor]: Taking taylor expansion of y in x 2.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.287 * [taylor]: Taking taylor expansion of x in x 2.288 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 2.288 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 2.288 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 2.288 * [taylor]: Taking taylor expansion of -1/3 in y 2.288 * [taylor]: Taking taylor expansion of (log x) in y 2.288 * [taylor]: Taking taylor expansion of x in y 2.295 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 x) 1/3) (/ 1 y))) in y 2.295 * [taylor]: Taking taylor expansion of 1/3 in y 2.295 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 y)) in y 2.295 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 2.295 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 2.295 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 2.295 * [taylor]: Taking taylor expansion of 1/3 in y 2.295 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 2.295 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.295 * [taylor]: Taking taylor expansion of x in y 2.295 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.295 * [taylor]: Taking taylor expansion of y in y 2.302 * [taylor]: Taking taylor expansion of (* -1/9 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 2.302 * [taylor]: Taking taylor expansion of -1/9 in y 2.302 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 2.302 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 2.302 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 2.302 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 2.302 * [taylor]: Taking taylor expansion of 1/3 in y 2.302 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 2.302 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.302 * [taylor]: Taking taylor expansion of x in y 2.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.302 * [taylor]: Taking taylor expansion of y in y 2.319 * [taylor]: Taking taylor expansion of (* 5/81 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 3)))) in y 2.319 * [taylor]: Taking taylor expansion of 5/81 in y 2.319 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 3))) in y 2.319 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 2.319 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 2.319 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 2.319 * [taylor]: Taking taylor expansion of 1/3 in y 2.319 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 2.319 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.319 * [taylor]: Taking taylor expansion of x in y 2.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.319 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.319 * [taylor]: Taking taylor expansion of y in y 2.333 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in (x y) around 0 2.333 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 2.333 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.333 * [taylor]: Taking taylor expansion of -1 in y 2.333 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 2.333 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 2.333 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 2.334 * [taylor]: Taking taylor expansion of 1/3 in y 2.334 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 2.334 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.334 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.334 * [taylor]: Taking taylor expansion of y in y 2.334 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.334 * [taylor]: Taking taylor expansion of x in y 2.335 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in x 2.335 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.335 * [taylor]: Taking taylor expansion of -1 in x 2.335 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 2.335 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 2.335 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 2.335 * [taylor]: Taking taylor expansion of 1/3 in x 2.335 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 2.335 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.335 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.336 * [taylor]: Taking taylor expansion of y in x 2.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.337 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in x 2.337 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.337 * [taylor]: Taking taylor expansion of -1 in x 2.337 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 2.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 2.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 2.337 * [taylor]: Taking taylor expansion of 1/3 in x 2.337 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 2.337 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.337 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.337 * [taylor]: Taking taylor expansion of y in x 2.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.337 * [taylor]: Taking taylor expansion of x in x 2.339 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in y 2.339 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.339 * [taylor]: Taking taylor expansion of -1 in y 2.340 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 2.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 2.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 2.340 * [taylor]: Taking taylor expansion of 1/3 in y 2.340 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 2.340 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.340 * [taylor]: Taking taylor expansion of x in y 2.342 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (cbrt -1) y) (pow (/ 1 x) 1/3))) in y 2.343 * [taylor]: Taking taylor expansion of 1/3 in y 2.343 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) y) (pow (/ 1 x) 1/3)) in y 2.343 * [taylor]: Taking taylor expansion of (/ (cbrt -1) y) in y 2.343 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.343 * [taylor]: Taking taylor expansion of -1 in y 2.343 * [taylor]: Taking taylor expansion of y in y 2.344 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 2.344 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 2.344 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 2.344 * [taylor]: Taking taylor expansion of 1/3 in y 2.344 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 2.344 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.344 * [taylor]: Taking taylor expansion of x in y 2.353 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (/ (cbrt -1) (pow y 2)) (pow (/ 1 x) 1/3)))) in y 2.353 * [taylor]: Taking taylor expansion of (* 1/9 (* (/ (cbrt -1) (pow y 2)) (pow (/ 1 x) 1/3))) in y 2.353 * [taylor]: Taking taylor expansion of 1/9 in y 2.353 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow y 2)) (pow (/ 1 x) 1/3)) in y 2.353 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 2)) in y 2.353 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.353 * [taylor]: Taking taylor expansion of -1 in y 2.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.354 * [taylor]: Taking taylor expansion of y in y 2.355 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 2.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 2.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 2.355 * [taylor]: Taking taylor expansion of 1/3 in y 2.355 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 2.355 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.355 * [taylor]: Taking taylor expansion of x in y 2.384 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ (cbrt -1) (pow y 3)) (pow (/ 1 x) 1/3))) in y 2.384 * [taylor]: Taking taylor expansion of 5/81 in y 2.384 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow y 3)) (pow (/ 1 x) 1/3)) in y 2.384 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 3)) in y 2.384 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.384 * [taylor]: Taking taylor expansion of -1 in y 2.385 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.385 * [taylor]: Taking taylor expansion of y in y 2.386 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 2.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 2.386 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 2.386 * [taylor]: Taking taylor expansion of 1/3 in y 2.386 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 2.386 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.386 * [taylor]: Taking taylor expansion of x in y 2.403 * * * [progress]: simplifying candidates 2.405 * [simplify]: Simplifying using # : (expm1 (log (/ (cbrt x) (cbrt (+ x y))))) (log1p (log (/ (cbrt x) (cbrt (+ x y))))) (log (* (cbrt (/ (cbrt x) (cbrt (+ x y)))) (cbrt (/ (cbrt x) (cbrt (+ x y)))))) (log (cbrt (/ (cbrt x) (cbrt (+ x y))))) (log (sqrt (/ (cbrt x) (cbrt (+ x y))))) (log (sqrt (/ (cbrt x) (cbrt (+ x y))))) (log (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y))))) (log (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt (sqrt (+ x y))))) (log (/ (cbrt (cbrt x)) (cbrt (sqrt (+ x y))))) (log (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt 1))) (log (/ (cbrt (cbrt x)) (cbrt (+ x y)))) (log (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt 1))) (log (/ (cbrt (cbrt x)) (cbrt (+ x y)))) (log (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y)))))) (log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y))))) (log (/ (cbrt (* (cbrt x) (cbrt x))) (sqrt (cbrt (+ x y))))) (log (/ (cbrt (cbrt x)) (sqrt (cbrt (+ x y))))) (log (/ (cbrt (* (cbrt x) (cbrt x))) 1)) (log (/ (cbrt (cbrt x)) (cbrt (+ x y)))) (log (/ (cbrt (sqrt x)) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (log (/ (cbrt (sqrt x)) (cbrt (cbrt (+ x y))))) (log (/ (cbrt (sqrt x)) (cbrt (sqrt (+ x y))))) (log (/ (cbrt (sqrt x)) (cbrt (sqrt (+ x y))))) (log (/ (cbrt (sqrt x)) (cbrt 1))) (log (/ (cbrt (sqrt x)) (cbrt (+ x y)))) (log (/ (cbrt (sqrt x)) (cbrt 1))) (log (/ (cbrt (sqrt x)) (cbrt (+ x y)))) (log (/ (cbrt (sqrt x)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y)))))) (log (/ (cbrt (sqrt x)) (cbrt (cbrt (+ x y))))) (log (/ (cbrt (sqrt x)) (sqrt (cbrt (+ x y))))) (log (/ (cbrt (sqrt x)) (sqrt (cbrt (+ x y))))) (log (/ (cbrt (sqrt x)) 1)) (log (/ (cbrt (sqrt x)) (cbrt (+ x y)))) (log (/ (cbrt 1) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (log (/ (cbrt x) (cbrt (cbrt (+ x y))))) (log (/ (cbrt 1) (cbrt (sqrt (+ x y))))) (log (/ (cbrt x) (cbrt (sqrt (+ x y))))) (log (/ (cbrt 1) (cbrt 1))) (log (/ (cbrt x) (cbrt (+ x y)))) (log (/ (cbrt 1) (cbrt 1))) (log (/ (cbrt x) (cbrt (+ x y)))) (log (/ (cbrt 1) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y)))))) (log (/ (cbrt x) (cbrt (cbrt (+ x y))))) (log (/ (cbrt 1) (sqrt (cbrt (+ x y))))) (log (/ (cbrt x) (sqrt (cbrt (+ x y))))) (log (/ (cbrt 1) 1)) (log (/ (cbrt x) (cbrt (+ x y)))) (log (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y))))) (log (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (sqrt (+ x y))))) (log (/ (cbrt (cbrt x)) (cbrt (sqrt (+ x y))))) (log (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt 1))) (log (/ (cbrt (cbrt x)) (cbrt (+ x y)))) (log (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt 1))) (log (/ (cbrt (cbrt x)) (cbrt (+ x y)))) (log (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y)))))) (log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y))))) (log (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (sqrt (cbrt (+ x y))))) (log (/ (cbrt (cbrt x)) (sqrt (cbrt (+ x y))))) (log (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) 1)) (log (/ (cbrt (cbrt x)) (cbrt (+ x y)))) (log (/ (sqrt (cbrt x)) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (log (/ (sqrt (cbrt x)) (cbrt (cbrt (+ x y))))) (log (/ (sqrt (cbrt x)) (cbrt (sqrt (+ x y))))) (log (/ (sqrt (cbrt x)) (cbrt (sqrt (+ x y))))) (log (/ (sqrt (cbrt x)) (cbrt 1))) (log (/ (sqrt (cbrt x)) (cbrt (+ x y)))) (log (/ (sqrt (cbrt x)) (cbrt 1))) (log (/ (sqrt (cbrt x)) (cbrt (+ x y)))) (log (/ (sqrt (cbrt x)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y)))))) (log (/ (sqrt (cbrt x)) (cbrt (cbrt (+ x y))))) (log (/ (sqrt (cbrt x)) (sqrt (cbrt (+ x y))))) (log (/ (sqrt (cbrt x)) (sqrt (cbrt (+ x y))))) (log (/ (sqrt (cbrt x)) 1)) (log (/ (sqrt (cbrt x)) (cbrt (+ x y)))) (log (/ 1 (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (log (/ (cbrt x) (cbrt (cbrt (+ x y))))) (log (/ 1 (cbrt (sqrt (+ x y))))) (log (/ (cbrt x) (cbrt (sqrt (+ x y))))) (log (/ 1 (cbrt 1))) (log (/ (cbrt x) (cbrt (+ x y)))) (log (/ 1 (cbrt 1))) (log (/ (cbrt x) (cbrt (+ x y)))) (log (/ 1 (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y)))))) (log (/ (cbrt x) (cbrt (cbrt (+ x y))))) (log (/ 1 (sqrt (cbrt (+ x y))))) (log (/ (cbrt x) (sqrt (cbrt (+ x y))))) (log (/ 1 1)) (log (/ (cbrt x) (cbrt (+ x y)))) (log 1) (log (/ (cbrt x) (cbrt (+ x y)))) (log (cbrt x)) (log (/ 1 (cbrt (+ x y)))) (log (/ (cbrt x) (cbrt (+ (pow x 3) (pow y 3))))) (log (cbrt (+ (* x x) (- (* y y) (* x y))))) (log (/ (cbrt x) (cbrt (- (* x x) (* y y))))) (log (cbrt (- x y))) (log (cbrt x)) (log (cbrt (+ x y))) (log (/ (cbrt x) (cbrt (+ x y)))) (log (log (/ (cbrt x) (cbrt (+ x y))))) (exp (log (/ (cbrt x) (cbrt (+ x y))))) (* (cbrt (log (/ (cbrt x) (cbrt (+ x y))))) (cbrt (log (/ (cbrt x) (cbrt (+ x y)))))) (cbrt (log (/ (cbrt x) (cbrt (+ x y))))) (* (* (log (/ (cbrt x) (cbrt (+ x y)))) (log (/ (cbrt x) (cbrt (+ x y))))) (log (/ (cbrt x) (cbrt (+ x y))))) (sqrt (log (/ (cbrt x) (cbrt (+ x y))))) (sqrt (log (/ (cbrt x) (cbrt (+ x y))))) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt (+ x y))) (log1p (cbrt (+ x y))) (log (cbrt (+ x y))) (exp (cbrt (+ x y))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))) (cbrt 1) (cbrt (+ x y)) (cbrt 1) (cbrt (+ x y)) (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (- (* x x) (* y y))) (cbrt (- x y)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (* 1/3 (- (log x) (log y))) 0 0 (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (- (+ (* 1/3 (* x (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3)) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3)))) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 2.412 * * [simplify]: iteration 0 : 370 enodes (cost 887 ) 2.418 * * [simplify]: iteration 1 : 1014 enodes (cost 855 ) 2.437 * * [simplify]: iteration 2 : 4230 enodes (cost 835 ) 2.536 * * [simplify]: iteration 3 : 5002 enodes (cost 830 ) 2.541 * [simplify]: Simplified to: (expm1 (log (/ (cbrt x) (cbrt (+ x y))))) (log1p (log (/ (cbrt x) (cbrt (+ x y))))) (* 2 (log (cbrt (/ (cbrt x) (cbrt (+ x y)))))) (log (cbrt (/ (cbrt x) (cbrt (+ x y))))) (log (sqrt (/ (cbrt x) (cbrt (+ x y))))) (log (sqrt (/ (cbrt x) (cbrt (+ x y))))) (log (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y))))) (log (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt (sqrt (+ x y))))) (log (/ (cbrt (cbrt x)) (cbrt (sqrt (+ x y))))) (log (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt 1))) (log (/ (cbrt (cbrt x)) (cbrt (+ x y)))) (log (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt 1))) (log (/ (cbrt (cbrt x)) (cbrt (+ x y)))) (- (log (cbrt (* (cbrt x) (cbrt x)))) (+ 0 (* 2 (log (cbrt (cbrt (+ x y))))))) (log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y))))) (log (/ (cbrt (* (cbrt x) (cbrt x))) (sqrt (cbrt (+ x y))))) (log (/ (cbrt (cbrt x)) (sqrt (cbrt (+ x y))))) (log (cbrt (* (cbrt x) (cbrt x)))) (log (/ (cbrt (cbrt x)) (cbrt (+ x y)))) (log (/ (cbrt (sqrt x)) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (log (/ (cbrt (sqrt x)) (cbrt (cbrt (+ x y))))) (log (/ (cbrt (sqrt x)) (cbrt (sqrt (+ x y))))) (log (/ (cbrt (sqrt x)) (cbrt (sqrt (+ x y))))) (log (/ (cbrt (sqrt x)) (cbrt 1))) (log (/ (cbrt (sqrt x)) (cbrt (+ x y)))) (log (/ (cbrt (sqrt x)) (cbrt 1))) (log (/ (cbrt (sqrt x)) (cbrt (+ x y)))) (- (log (cbrt (sqrt x))) (+ 0 (* 2 (log (cbrt (cbrt (+ x y))))))) (log (/ (cbrt (sqrt x)) (cbrt (cbrt (+ x y))))) (log (/ (cbrt (sqrt x)) (sqrt (cbrt (+ x y))))) (log (/ (cbrt (sqrt x)) (sqrt (cbrt (+ x y))))) (log (cbrt (sqrt x))) (log (/ (cbrt (sqrt x)) (cbrt (+ x y)))) (log (/ (cbrt 1) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (log (/ (cbrt x) (cbrt (cbrt (+ x y))))) (log (/ (cbrt 1) (cbrt (sqrt (+ x y))))) (log (/ (cbrt x) (cbrt (sqrt (+ x y))))) 0 (log (/ (cbrt x) (cbrt (+ x y)))) 0 (log (/ (cbrt x) (cbrt (+ x y)))) (- (log (cbrt 1)) (+ 0 (* 2 (log (cbrt (cbrt (+ x y))))))) (log (/ (cbrt x) (cbrt (cbrt (+ x y))))) (log (/ (cbrt 1) (sqrt (cbrt (+ x y))))) (log (/ (cbrt x) (sqrt (cbrt (+ x y))))) (log (cbrt 1)) (log (/ (cbrt x) (cbrt (+ x y)))) (fma 2 (log (cbrt (cbrt x))) (log (/ 1 (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))) (log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y))))) (fma 2 (log (cbrt (cbrt x))) (log (/ 1 (cbrt (sqrt (+ x y)))))) (log (/ (cbrt (cbrt x)) (cbrt (sqrt (+ x y))))) (fma 2 (log (cbrt (cbrt x))) (log (/ 1 (cbrt 1)))) (log (/ (cbrt (cbrt x)) (cbrt (+ x y)))) (fma 2 (log (cbrt (cbrt x))) (log (/ 1 (cbrt 1)))) (log (/ (cbrt (cbrt x)) (cbrt (+ x y)))) (* 2 (log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))))) (log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y))))) (fma 2 (log (cbrt (cbrt x))) (log (/ 1 (sqrt (cbrt (+ x y)))))) (log (/ (cbrt (cbrt x)) (sqrt (cbrt (+ x y))))) (* 2 (log (cbrt (cbrt x)))) (log (/ (cbrt (cbrt x)) (cbrt (+ x y)))) (log (/ (sqrt (cbrt x)) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (log (/ (sqrt (cbrt x)) (cbrt (cbrt (+ x y))))) (log (/ (sqrt (cbrt x)) (cbrt (sqrt (+ x y))))) (log (/ (sqrt (cbrt x)) (cbrt (sqrt (+ x y))))) (log (/ (sqrt (cbrt x)) (cbrt 1))) (log (/ (sqrt (cbrt x)) (cbrt (+ x y)))) (log (/ (sqrt (cbrt x)) (cbrt 1))) (log (/ (sqrt (cbrt x)) (cbrt (+ x y)))) (- (log (sqrt (cbrt x))) (+ 0 (* 2 (log (cbrt (cbrt (+ x y))))))) (log (/ (sqrt (cbrt x)) (cbrt (cbrt (+ x y))))) (log (/ (sqrt (cbrt x)) (sqrt (cbrt (+ x y))))) (log (/ (sqrt (cbrt x)) (sqrt (cbrt (+ x y))))) (log (sqrt (cbrt x))) (log (/ (sqrt (cbrt x)) (cbrt (+ x y)))) (log (/ 1 (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (log (/ (cbrt x) (cbrt (cbrt (+ x y))))) (log (/ 1 (cbrt (sqrt (+ x y))))) (log (/ (cbrt x) (cbrt (sqrt (+ x y))))) (log (/ 1 (cbrt 1))) (log (/ (cbrt x) (cbrt (+ x y)))) (log (/ 1 (cbrt 1))) (log (/ (cbrt x) (cbrt (+ x y)))) (- 0 (+ 0 (* 2 (log (cbrt (cbrt (+ x y))))))) (log (/ (cbrt x) (cbrt (cbrt (+ x y))))) (log (/ 1 (sqrt (cbrt (+ x y))))) (log (/ (cbrt x) (sqrt (cbrt (+ x y))))) 0 (log (/ (cbrt x) (cbrt (+ x y)))) 0 (log (/ (cbrt x) (cbrt (+ x y)))) (log (cbrt x)) (log (/ 1 (cbrt (+ x y)))) (log (/ (cbrt x) (cbrt (+ (pow x 3) (pow y 3))))) (log (cbrt (+ (* x x) (- (* y y) (* x y))))) (log (/ (cbrt x) (cbrt (- (* x x) (* y y))))) (log (cbrt (- x y))) (log (cbrt x)) (log (cbrt (+ x y))) (log (/ (cbrt x) (cbrt (+ x y)))) (log (log (/ (cbrt x) (cbrt (+ x y))))) (/ (cbrt x) (cbrt (+ x y))) (* (cbrt (log (/ (cbrt x) (cbrt (+ x y))))) (cbrt (log (/ (cbrt x) (cbrt (+ x y)))))) (cbrt (log (/ (cbrt x) (cbrt (+ x y))))) (pow (log (/ (cbrt x) (cbrt (+ x y)))) 3) (sqrt (log (/ (cbrt x) (cbrt (+ x y))))) (sqrt (log (/ (cbrt x) (cbrt (+ x y))))) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt (+ x y))) (log1p (cbrt (+ x y))) (log (cbrt (+ x y))) (exp (cbrt (+ x y))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))) (cbrt 1) (cbrt (+ x y)) (cbrt 1) (cbrt (+ x y)) (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (- (* x x) (* y y))) (cbrt (- x y)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (+ x y) (sqrt (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (* 1/3 (- (log x) (log y))) 0 0 (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (fma (* 1/3 x) (pow (/ 1 (pow y 2)) 1/3) (- (pow y 1/3) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))))) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 2.541 * * * [progress]: adding candidates to table 2.937 * * [progress]: iteration 4 / 4 2.937 * * * [progress]: picking best candidate 2.939 * * * * [pick]: Picked # 2.939 * * * [progress]: localizing error 2.944 * * * [progress]: generating rewritten candidates 2.944 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.948 * * * [progress]: generating series expansions 2.948 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.949 * [approximate]: Taking taylor expansion of (/ (exp (* -1 y)) x) in (y x) around 0 2.949 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in x 2.949 * [taylor]: Taking taylor expansion of (exp (* -1 y)) in x 2.949 * [taylor]: Taking taylor expansion of (* -1 y) in x 2.949 * [taylor]: Taking taylor expansion of -1 in x 2.949 * [taylor]: Taking taylor expansion of y in x 2.949 * [taylor]: Taking taylor expansion of x in x 2.949 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in y 2.949 * [taylor]: Taking taylor expansion of (exp (* -1 y)) in y 2.949 * [taylor]: Taking taylor expansion of (* -1 y) in y 2.949 * [taylor]: Taking taylor expansion of -1 in y 2.949 * [taylor]: Taking taylor expansion of y in y 2.950 * [taylor]: Taking taylor expansion of x in y 2.950 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in y 2.950 * [taylor]: Taking taylor expansion of (exp (* -1 y)) in y 2.950 * [taylor]: Taking taylor expansion of (* -1 y) in y 2.950 * [taylor]: Taking taylor expansion of -1 in y 2.950 * [taylor]: Taking taylor expansion of y in y 2.951 * [taylor]: Taking taylor expansion of x in y 2.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.951 * [taylor]: Taking taylor expansion of x in x 2.952 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.952 * [taylor]: Taking taylor expansion of x in x 2.954 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 2.954 * [taylor]: Taking taylor expansion of 1/2 in x 2.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.954 * [taylor]: Taking taylor expansion of x in x 2.955 * [approximate]: Taking taylor expansion of (* (exp (/ -1 y)) x) in (y x) around 0 2.955 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in x 2.955 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 2.955 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.955 * [taylor]: Taking taylor expansion of -1 in x 2.955 * [taylor]: Taking taylor expansion of y in x 2.955 * [taylor]: Taking taylor expansion of x in x 2.955 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in y 2.955 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 2.955 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.955 * [taylor]: Taking taylor expansion of -1 in y 2.955 * [taylor]: Taking taylor expansion of y in y 2.955 * [taylor]: Taking taylor expansion of x in y 2.955 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in y 2.956 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 2.956 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.956 * [taylor]: Taking taylor expansion of -1 in y 2.956 * [taylor]: Taking taylor expansion of y in y 2.956 * [taylor]: Taking taylor expansion of x in y 2.956 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in x 2.956 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 2.956 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.956 * [taylor]: Taking taylor expansion of -1 in x 2.956 * [taylor]: Taking taylor expansion of y in x 2.956 * [taylor]: Taking taylor expansion of x in x 2.956 * [taylor]: Taking taylor expansion of 0 in x 2.957 * [taylor]: Taking taylor expansion of 0 in x 2.959 * [taylor]: Taking taylor expansion of 0 in x 2.959 * [approximate]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in (y x) around 0 2.959 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in x 2.959 * [taylor]: Taking taylor expansion of -1 in x 2.959 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in x 2.959 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 2.959 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.959 * [taylor]: Taking taylor expansion of y in x 2.960 * [taylor]: Taking taylor expansion of x in x 2.960 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in y 2.960 * [taylor]: Taking taylor expansion of -1 in y 2.960 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in y 2.960 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 2.960 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.960 * [taylor]: Taking taylor expansion of y in y 2.960 * [taylor]: Taking taylor expansion of x in y 2.960 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in y 2.960 * [taylor]: Taking taylor expansion of -1 in y 2.960 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in y 2.960 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 2.960 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.960 * [taylor]: Taking taylor expansion of y in y 2.960 * [taylor]: Taking taylor expansion of x in y 2.960 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in x 2.960 * [taylor]: Taking taylor expansion of -1 in x 2.960 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in x 2.960 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 2.960 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.961 * [taylor]: Taking taylor expansion of y in x 2.961 * [taylor]: Taking taylor expansion of x in x 2.961 * [taylor]: Taking taylor expansion of 0 in x 2.963 * [taylor]: Taking taylor expansion of 0 in x 2.966 * [taylor]: Taking taylor expansion of 0 in x 2.966 * * * [progress]: simplifying candidates 2.967 * [simplify]: Simplifying using # : (expm1 (/ (exp (* -1 y)) x)) (log1p (/ (exp (* -1 y)) x)) (- (* -1 y) (log x)) (log (/ (exp (* -1 y)) x)) (exp (/ (exp (* -1 y)) x)) (/ (* (* (exp (* -1 y)) (exp (* -1 y))) (exp (* -1 y))) (* (* x x) x)) (* (cbrt (/ (exp (* -1 y)) x)) (cbrt (/ (exp (* -1 y)) x))) (cbrt (/ (exp (* -1 y)) x)) (* (* (/ (exp (* -1 y)) x) (/ (exp (* -1 y)) x)) (/ (exp (* -1 y)) x)) (sqrt (/ (exp (* -1 y)) x)) (sqrt (/ (exp (* -1 y)) x)) (- (exp (* -1 y))) (- x) (/ (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) (* (cbrt x) (cbrt x))) (/ (cbrt (exp (* -1 y))) (cbrt x)) (/ (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) (sqrt x)) (/ (cbrt (exp (* -1 y))) (sqrt x)) (/ (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) 1) (/ (cbrt (exp (* -1 y))) x) (/ (sqrt (exp (* -1 y))) (* (cbrt x) (cbrt x))) (/ (sqrt (exp (* -1 y))) (cbrt x)) (/ (sqrt (exp (* -1 y))) (sqrt x)) (/ (sqrt (exp (* -1 y))) (sqrt x)) (/ (sqrt (exp (* -1 y))) 1) (/ (sqrt (exp (* -1 y))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (exp (* -1 y)) (cbrt x)) (/ 1 (sqrt x)) (/ (exp (* -1 y)) (sqrt x)) (/ 1 1) (/ (exp (* -1 y)) x) (/ 1 x) (/ x (exp (* -1 y))) (/ (exp (* -1 y)) (* (cbrt x) (cbrt x))) (/ (exp (* -1 y)) (sqrt x)) (/ (exp (* -1 y)) 1) (/ x (cbrt (exp (* -1 y)))) (/ x (sqrt (exp (* -1 y)))) (/ x (exp (* -1 y))) (* x (exp y)) (- (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)) (/ y x)) (/ (exp (* -1 y)) x) (/ (exp (* -1 y)) x) 2.970 * * [simplify]: iteration 0 : 118 enodes (cost 194 ) 2.973 * * [simplify]: iteration 1 : 313 enodes (cost 179 ) 2.979 * * [simplify]: iteration 2 : 1512 enodes (cost 177 ) 3.011 * * [simplify]: iteration 3 : 5001 enodes (cost 177 ) 3.012 * [simplify]: Simplified to: (expm1 (/ (exp (* -1 y)) x)) (log1p (/ (exp (* -1 y)) x)) (- (* -1 y) (log x)) (- (* -1 y) (log x)) (exp (/ (exp (* -1 y)) x)) (pow (/ (exp (* -1 y)) x) 3) (* (cbrt (/ (exp (* -1 y)) x)) (cbrt (/ (exp (* -1 y)) x))) (cbrt (/ (exp (* -1 y)) x)) (pow (/ (exp (* -1 y)) x) 3) (sqrt (/ (exp (* -1 y)) x)) (sqrt (/ (exp (* -1 y)) x)) (- (exp (* -1 y))) (- x) (/ (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) (* (cbrt x) (cbrt x))) (/ (cbrt (exp (* -1 y))) (cbrt x)) (/ (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) (sqrt x)) (/ (cbrt (exp (* -1 y))) (sqrt x)) (* (cbrt (exp (* -1 y))) (cbrt (exp (* -1 y)))) (/ (cbrt (exp (* -1 y))) x) (/ (sqrt (exp (* -1 y))) (* (cbrt x) (cbrt x))) (/ (sqrt (exp (* -1 y))) (cbrt x)) (/ (sqrt (exp (* -1 y))) (sqrt x)) (/ (sqrt (exp (* -1 y))) (sqrt x)) (sqrt (exp (* -1 y))) (/ (sqrt (exp (* -1 y))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (exp (* -1 y)) (cbrt x)) (/ 1 (sqrt x)) (/ (exp (* -1 y)) (sqrt x)) 1 (/ (exp (* -1 y)) x) (/ 1 x) (* x (exp y)) (/ (exp (* -1 y)) (* (cbrt x) (cbrt x))) (/ (exp (* -1 y)) (sqrt x)) (exp (* -1 y)) (/ x (cbrt (exp (* -1 y)))) (/ x (sqrt (exp (* -1 y)))) (* x (exp y)) (* x (exp y)) (fma 1/2 (/ (pow y 2) x) (- (/ 1 x) (/ y x))) (/ (exp (* -1 y)) x) (/ (exp (* -1 y)) x) 3.013 * * * [progress]: adding candidates to table 3.065 * [progress]: [Phase 3 of 3] Extracting. 3.066 * * [regime]: Finding splitpoints for: (# # # #) 3.066 * * * [regime-changes]: Trying 2 branch expressions: (y x) 3.066 * * * * [regimes]: Trying to branch on y from (# # # #) 3.094 * * * * [regimes]: Trying to branch on x from (# # # #) 3.121 * * * [regime]: Found split indices: #