21.324 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.059 * * * [progress]: [2/2] Setting up program. 0.062 * [progress]: [Phase 2 of 3] Improving. 0.062 * [simplify]: Simplifying using # : (/ (exp (* x (log (/ x (+ x y))))) x) 0.065 * * [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 ) 0.073 * * [simplify]: iteration 4 : 310 enodes (cost 4 ) 0.077 * * [simplify]: iteration 5 : 792 enodes (cost 4 ) 0.094 * * [simplify]: iteration 6 : 4192 enodes (cost 4 ) 0.184 * * [simplify]: iteration 7 : 5002 enodes (cost 4 ) 0.185 * [simplify]: Simplified to: (/ (pow (/ x (+ x y)) x) x) 0.188 * * [progress]: iteration 1 / 4 0.189 * * * [progress]: picking best candidate 0.190 * * * * [pick]: Picked # 0.190 * * * [progress]: localizing error 0.197 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.205 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.217 * * * [progress]: generating series expansions 0.217 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.217 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) x) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) x) in y 0.217 * [taylor]: Taking taylor expansion of (exp (* x (log (/ x (+ x y))))) in y 0.217 * [taylor]: Taking taylor expansion of (* x (log (/ x (+ x y)))) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.217 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of (+ x y) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) x) in x 0.219 * [taylor]: Taking taylor expansion of (exp (* x (log (/ x (+ x y))))) in x 0.219 * [taylor]: Taking taylor expansion of (* x (log (/ x (+ x y)))) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.219 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (+ x y) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) x) in x 0.221 * [taylor]: Taking taylor expansion of (exp (* x (log (/ x (+ x y))))) in x 0.221 * [taylor]: Taking taylor expansion of (* x (log (/ x (+ x y)))) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.221 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (+ x y) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of 1 in y 0.223 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.223 * [taylor]: Taking taylor expansion of (log x) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.226 * [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 0.226 * [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 0.226 * [taylor]: Taking taylor expansion of (* (log x) (log (/ 1 y))) in y 0.226 * [taylor]: Taking taylor expansion of (log x) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (/ 1 y)) 2))) in y 0.227 * [taylor]: Taking taylor expansion of (* 1/2 (pow (log x) 2)) in y 0.227 * [taylor]: Taking taylor expansion of 1/2 in y 0.227 * [taylor]: Taking taylor expansion of (pow (log x) 2) in y 0.227 * [taylor]: Taking taylor expansion of (log x) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (* 1/2 (pow (log (/ 1 y)) 2)) in y 0.227 * [taylor]: Taking taylor expansion of 1/2 in y 0.227 * [taylor]: Taking taylor expansion of (pow (log (/ 1 y)) 2) in y 0.227 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.231 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 0.231 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.231 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.231 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.231 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.231 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.233 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.233 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.233 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.238 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.239 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 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 0.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (- (/ 1 y))) (pow y 2))) in y 0.249 * [taylor]: Taking taylor expansion of 1/2 in y 0.249 * [taylor]: Taking taylor expansion of (/ (exp (- (/ 1 y))) (pow y 2)) in y 0.249 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.249 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (* (- (* 1/8 (/ 1 (pow y 4))) (* 1/3 (/ 1 (pow y 3)))) (exp (- (/ 1 y)))) in y 0.258 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow y 4))) (* 1/3 (/ 1 (pow y 3)))) in y 0.258 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow y 4))) in y 0.258 * [taylor]: Taking taylor expansion of 1/8 in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.258 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow y 3))) in y 0.259 * [taylor]: Taking taylor expansion of 1/3 in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.259 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.260 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.288 * [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 0.288 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.288 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.289 * [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 0.289 * [taylor]: Taking taylor expansion of (+ (* 1/48 (/ 1 (pow y 6))) (* 1/4 (/ 1 (pow y 4)))) in y 0.289 * [taylor]: Taking taylor expansion of (* 1/48 (/ 1 (pow y 6))) in y 0.289 * [taylor]: Taking taylor expansion of 1/48 in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.289 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.290 * [taylor]: Taking taylor expansion of 1/4 in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.290 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 5))) in y 0.291 * [taylor]: Taking taylor expansion of 1/6 in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.291 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.343 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in y 0.343 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.343 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.343 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.343 * [taylor]: Taking taylor expansion of -1 in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.343 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.345 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.345 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.345 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.345 * [taylor]: Taking taylor expansion of -1 in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.345 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) (/ -1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.350 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.350 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.350 * [taylor]: Taking taylor expansion of -1 in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.351 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (* -1/2 (/ (exp (/ 1 y)) (pow y 2))) in y 0.360 * [taylor]: Taking taylor expansion of -1/2 in y 0.360 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 y)) (pow y 2)) in y 0.360 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.360 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/8 (/ 1 (pow y 4))))) 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 0.370 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow y 3))) (* 1/8 (/ 1 (pow y 4)))) in y 0.370 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow y 3))) in y 0.370 * [taylor]: Taking taylor expansion of 1/3 in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow y 4))) in y 0.370 * [taylor]: Taking taylor expansion of 1/8 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 0.371 * [taylor]: Taking taylor expansion of y in y 0.403 * [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 0.403 * [taylor]: Taking taylor expansion of -1 in y 0.403 * [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 0.403 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.404 * [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 0.404 * [taylor]: Taking taylor expansion of (* 1/48 (/ 1 (pow y 6))) in y 0.404 * [taylor]: Taking taylor expansion of 1/48 in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.404 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 5)))) in y 0.405 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.405 * [taylor]: Taking taylor expansion of 1/4 in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.405 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 5))) in y 0.406 * [taylor]: Taking taylor expansion of 1/6 in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.406 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.454 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.454 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.454 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of (+ x y) in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (+ x y) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (+ x y) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.459 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.459 * [taylor]: Taking taylor expansion of y in y 0.472 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.472 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.472 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.473 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.473 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.474 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of 1 in y 0.478 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.485 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.486 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.486 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.486 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.488 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of 1 in y 0.491 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.499 * * * [progress]: simplifying candidates 0.500 * [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 0.505 * * [simplify]: iteration 0 : 320 enodes (cost 413 ) 0.512 * * [simplify]: iteration 1 : 1304 enodes (cost 399 ) 0.539 * * [simplify]: iteration 2 : 5002 enodes (cost 398 ) 0.542 * [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 0.542 * * * [progress]: adding candidates to table 0.700 * * [progress]: iteration 2 / 4 0.700 * * * [progress]: picking best candidate 0.708 * * * * [pick]: Picked # 0.709 * * * [progress]: localizing error 0.725 * * * [progress]: generating rewritten candidates 0.726 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.745 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 0.746 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2) 0.746 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 0.749 * * * [progress]: generating series expansions 0.749 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.749 * [approximate]: Taking taylor expansion of (pow (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) x) in (x y) around 0 0.749 * [taylor]: Taking taylor expansion of (pow (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) x) in y 0.749 * [taylor]: Taking taylor expansion of (exp (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)))) in y 0.749 * [taylor]: Taking taylor expansion of (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3))) in y 0.749 * [taylor]: Taking taylor expansion of x in y 0.749 * [taylor]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)) in y 0.749 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in y 0.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in y 0.750 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in y 0.750 * [taylor]: Taking taylor expansion of 1/3 in y 0.750 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in y 0.750 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in y 0.750 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.750 * [taylor]: Taking taylor expansion of x in y 0.750 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.750 * [taylor]: Taking taylor expansion of (+ x y) in y 0.750 * [taylor]: Taking taylor expansion of x in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of (pow (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) x) in x 0.753 * [taylor]: Taking taylor expansion of (exp (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)))) in x 0.753 * [taylor]: Taking taylor expansion of (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3))) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)) in x 0.753 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in x 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in x 0.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in x 0.754 * [taylor]: Taking taylor expansion of 1/3 in x 0.754 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in x 0.754 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in x 0.754 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.754 * [taylor]: Taking taylor expansion of (+ x y) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of y in x 0.758 * [taylor]: Taking taylor expansion of (pow (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) x) in x 0.758 * [taylor]: Taking taylor expansion of (exp (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)))) in x 0.758 * [taylor]: Taking taylor expansion of (* x (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3))) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3)) in x 0.758 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in x 0.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in x 0.758 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in x 0.758 * [taylor]: Taking taylor expansion of 1/3 in x 0.758 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in x 0.758 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in x 0.758 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.758 * [taylor]: Taking taylor expansion of (+ x y) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.762 * [taylor]: Taking taylor expansion of 1 in y 0.763 * [taylor]: Taking taylor expansion of (+ (* 2/3 (log x)) (* 1/3 (log (/ 1 (pow y 2))))) in y 0.763 * [taylor]: Taking taylor expansion of (* 2/3 (log x)) in y 0.763 * [taylor]: Taking taylor expansion of 2/3 in y 0.763 * [taylor]: Taking taylor expansion of (log x) in y 0.763 * [taylor]: Taking taylor expansion of x in y 0.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.763 * [taylor]: Taking taylor expansion of 1/3 in y 0.763 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.769 * [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 0.769 * [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 0.769 * [taylor]: Taking taylor expansion of (* 2/9 (pow (log x) 2)) in y 0.769 * [taylor]: Taking taylor expansion of 2/9 in y 0.769 * [taylor]: Taking taylor expansion of (pow (log x) 2) in y 0.769 * [taylor]: Taking taylor expansion of (log x) in y 0.769 * [taylor]: Taking taylor expansion of x in y 0.769 * [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 0.769 * [taylor]: Taking taylor expansion of (* 2/9 (* (log x) (log (/ 1 (pow y 2))))) in y 0.769 * [taylor]: Taking taylor expansion of 2/9 in y 0.769 * [taylor]: Taking taylor expansion of (* (log x) (log (/ 1 (pow y 2)))) in y 0.769 * [taylor]: Taking taylor expansion of (log x) in y 0.769 * [taylor]: Taking taylor expansion of x in y 0.769 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.769 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.769 * [taylor]: Taking taylor expansion of y in y 0.770 * [taylor]: Taking taylor expansion of (* 1/18 (pow (log (/ 1 (pow y 2))) 2)) in y 0.770 * [taylor]: Taking taylor expansion of 1/18 in y 0.770 * [taylor]: Taking taylor expansion of (pow (log (/ 1 (pow y 2))) 2) in y 0.770 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.770 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.770 * [taylor]: Taking taylor expansion of y in y 0.771 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 y)) in y 0.771 * [taylor]: Taking taylor expansion of 2/3 in y 0.771 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.776 * [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 0.776 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ 1 x)) in y 0.776 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in y 0.776 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in y 0.776 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.776 * [taylor]: Taking taylor expansion of x in y 0.776 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in y 0.776 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in y 0.776 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in y 0.776 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 0.776 * [taylor]: Taking taylor expansion of 1/3 in y 0.776 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.776 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.776 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.776 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.776 * [taylor]: Taking taylor expansion of x in y 0.776 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.776 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.776 * [taylor]: Taking taylor expansion of y in y 0.776 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.776 * [taylor]: Taking taylor expansion of x in y 0.778 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ 1 x)) in x 0.778 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in x 0.778 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in x 0.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.779 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in x 0.779 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.779 * [taylor]: Taking taylor expansion of 1/3 in x 0.779 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.779 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.779 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.779 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.779 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.779 * [taylor]: Taking taylor expansion of y in x 0.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ 1 x)) in x 0.785 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in x 0.785 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in x 0.785 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.785 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.785 * [taylor]: Taking taylor expansion of 1/3 in x 0.785 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.785 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.785 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.785 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.785 * [taylor]: Taking taylor expansion of y in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (exp (- (* 2/3 (/ 1 y)))) in y 0.791 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ 1 y))) in y 0.791 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 y)) in y 0.791 * [taylor]: Taking taylor expansion of 2/3 in y 0.791 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.791 * [taylor]: Taking taylor expansion of y in y 0.798 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (- (* 2/3 (/ 1 y)))) (pow y 2))) in y 0.799 * [taylor]: Taking taylor expansion of 1/3 in y 0.799 * [taylor]: Taking taylor expansion of (/ (exp (- (* 2/3 (/ 1 y)))) (pow y 2)) in y 0.799 * [taylor]: Taking taylor expansion of (exp (- (* 2/3 (/ 1 y)))) in y 0.799 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ 1 y))) in y 0.799 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 y)) in y 0.799 * [taylor]: Taking taylor expansion of 2/3 in y 0.799 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.799 * [taylor]: Taking taylor expansion of y in y 0.799 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.800 * [taylor]: Taking taylor expansion of y in y 0.812 * [taylor]: Taking taylor expansion of (* (- (* 1/18 (/ 1 (pow y 4))) (* 2/9 (/ 1 (pow y 3)))) (exp (- (* 2/3 (/ 1 y))))) in y 0.812 * [taylor]: Taking taylor expansion of (- (* 1/18 (/ 1 (pow y 4))) (* 2/9 (/ 1 (pow y 3)))) in y 0.812 * [taylor]: Taking taylor expansion of (* 1/18 (/ 1 (pow y 4))) in y 0.812 * [taylor]: Taking taylor expansion of 1/18 in y 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.812 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.813 * [taylor]: Taking taylor expansion of (* 2/9 (/ 1 (pow y 3))) in y 0.813 * [taylor]: Taking taylor expansion of 2/9 in y 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.813 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.813 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of (exp (- (* 2/3 (/ 1 y)))) in y 0.814 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ 1 y))) in y 0.814 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 y)) in y 0.814 * [taylor]: Taking taylor expansion of 2/3 in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.852 * [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 0.852 * [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 0.852 * [taylor]: Taking taylor expansion of (+ (* 1/162 (/ 1 (pow y 6))) (* 1/6 (/ 1 (pow y 4)))) in y 0.852 * [taylor]: Taking taylor expansion of (* 1/162 (/ 1 (pow y 6))) in y 0.852 * [taylor]: Taking taylor expansion of 1/162 in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.853 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 4))) in y 0.853 * [taylor]: Taking taylor expansion of 1/6 in y 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.854 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of (* 2/27 (/ 1 (pow y 5))) in y 0.854 * [taylor]: Taking taylor expansion of 2/27 in y 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.854 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.855 * [taylor]: Taking taylor expansion of (exp (- (* 2/3 (/ 1 y)))) in y 0.855 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ 1 y))) in y 0.855 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 y)) in y 0.855 * [taylor]: Taking taylor expansion of 2/3 in y 0.855 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.855 * [taylor]: Taking taylor expansion of y in y 0.901 * [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 0.902 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ -1 x)) in y 0.902 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in y 0.902 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in y 0.902 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.902 * [taylor]: Taking taylor expansion of -1 in y 0.902 * [taylor]: Taking taylor expansion of x in y 0.902 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in y 0.902 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in y 0.902 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in y 0.902 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 0.902 * [taylor]: Taking taylor expansion of 1/3 in y 0.902 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.902 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.902 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.902 * [taylor]: Taking taylor expansion of x in y 0.902 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.902 * [taylor]: Taking taylor expansion of x in y 0.904 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ -1 x)) in x 0.904 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in x 0.904 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in x 0.904 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.904 * [taylor]: Taking taylor expansion of -1 in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in x 0.905 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.905 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.905 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.905 * [taylor]: Taking taylor expansion of 1/3 in x 0.905 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.905 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.905 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) (/ -1 x)) in x 0.910 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)))) in x 0.910 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3))) in x 0.911 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.911 * [taylor]: Taking taylor expansion of -1 in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3)) in x 0.911 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.911 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.911 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.911 * [taylor]: Taking taylor expansion of 1/3 in x 0.911 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.911 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.911 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.911 * [taylor]: Taking taylor expansion of y in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (exp (/ 2/3 y)) in y 0.923 * [taylor]: Taking taylor expansion of (/ 2/3 y) in y 0.923 * [taylor]: Taking taylor expansion of 2/3 in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (/ 2/3 y)) (pow y 2))) in y 0.930 * [taylor]: Taking taylor expansion of -1/3 in y 0.930 * [taylor]: Taking taylor expansion of (/ (exp (/ 2/3 y)) (pow y 2)) in y 0.930 * [taylor]: Taking taylor expansion of (exp (/ 2/3 y)) in y 0.930 * [taylor]: Taking taylor expansion of (/ 2/3 y) in y 0.930 * [taylor]: Taking taylor expansion of 2/3 in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.942 * [taylor]: Taking taylor expansion of (* (+ (* 2/9 (/ 1 (pow y 3))) (* 1/18 (/ 1 (pow y 4)))) (exp (/ 2/3 y))) in y 0.942 * [taylor]: Taking taylor expansion of (+ (* 2/9 (/ 1 (pow y 3))) (* 1/18 (/ 1 (pow y 4)))) in y 0.942 * [taylor]: Taking taylor expansion of (* 2/9 (/ 1 (pow y 3))) in y 0.942 * [taylor]: Taking taylor expansion of 2/9 in y 0.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.942 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.942 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of (* 1/18 (/ 1 (pow y 4))) in y 0.943 * [taylor]: Taking taylor expansion of 1/18 in y 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.943 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.944 * [taylor]: Taking taylor expansion of (exp (/ 2/3 y)) in y 0.944 * [taylor]: Taking taylor expansion of (/ 2/3 y) in y 0.944 * [taylor]: Taking taylor expansion of 2/3 in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.976 * [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 0.976 * [taylor]: Taking taylor expansion of -1 in y 0.976 * [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 0.976 * [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 0.976 * [taylor]: Taking taylor expansion of (* 1/162 (/ 1 (pow y 6))) in y 0.976 * [taylor]: Taking taylor expansion of 1/162 in y 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.976 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.977 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow y 4))) (* 2/27 (/ 1 (pow y 5)))) in y 0.977 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 4))) in y 0.977 * [taylor]: Taking taylor expansion of 1/6 in y 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.977 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.978 * [taylor]: Taking taylor expansion of (* 2/27 (/ 1 (pow y 5))) in y 0.978 * [taylor]: Taking taylor expansion of 2/27 in y 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.978 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.978 * [taylor]: Taking taylor expansion of y in y 0.979 * [taylor]: Taking taylor expansion of (exp (/ 2/3 y)) in y 0.979 * [taylor]: Taking taylor expansion of (/ 2/3 y) in y 0.979 * [taylor]: Taking taylor expansion of 2/3 in y 0.979 * [taylor]: Taking taylor expansion of y in y 1.231 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 1.231 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.231 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.231 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.231 * [taylor]: Taking taylor expansion of 1/3 in x 1.231 * [taylor]: Taking taylor expansion of (log x) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.232 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.232 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.232 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.232 * [taylor]: Taking taylor expansion of 1/3 in x 1.232 * [taylor]: Taking taylor expansion of (log x) in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.285 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.285 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.285 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.285 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.285 * [taylor]: Taking taylor expansion of 1/3 in x 1.285 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.286 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.286 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.286 * [taylor]: Taking taylor expansion of 1/3 in x 1.286 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.337 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.337 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.337 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.337 * [taylor]: Taking taylor expansion of -1 in x 1.338 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.338 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.338 * [taylor]: Taking taylor expansion of 1/3 in x 1.338 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.339 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.339 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.339 * [taylor]: Taking taylor expansion of -1 in x 1.340 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.340 * [taylor]: Taking taylor expansion of 1/3 in x 1.340 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.406 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2) 1.407 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.407 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.407 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.407 * [taylor]: Taking taylor expansion of 1/3 in x 1.407 * [taylor]: Taking taylor expansion of (log x) in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.407 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.407 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.407 * [taylor]: Taking taylor expansion of 1/3 in x 1.407 * [taylor]: Taking taylor expansion of (log x) in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.459 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.459 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.459 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.460 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.460 * [taylor]: Taking taylor expansion of 1/3 in x 1.460 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.461 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.461 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.461 * [taylor]: Taking taylor expansion of 1/3 in x 1.461 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.515 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.515 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.515 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.515 * [taylor]: Taking taylor expansion of -1 in x 1.516 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.516 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.516 * [taylor]: Taking taylor expansion of 1/3 in x 1.516 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.516 * [taylor]: Taking taylor expansion of x in x 1.517 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.517 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.517 * [taylor]: Taking taylor expansion of -1 in x 1.518 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.518 * [taylor]: Taking taylor expansion of 1/3 in x 1.518 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.518 * [taylor]: Taking taylor expansion of x in x 1.585 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 1.585 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.585 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.585 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.585 * [taylor]: Taking taylor expansion of 1/3 in x 1.585 * [taylor]: Taking taylor expansion of (log x) in x 1.585 * [taylor]: Taking taylor expansion of x in x 1.586 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.586 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.586 * [taylor]: Taking taylor expansion of 1/3 in x 1.586 * [taylor]: Taking taylor expansion of (log x) in x 1.586 * [taylor]: Taking taylor expansion of x in x 1.634 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.634 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.634 * [taylor]: Taking taylor expansion of 1/3 in x 1.634 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.635 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.635 * [taylor]: Taking taylor expansion of 1/3 in x 1.635 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.635 * [taylor]: Taking taylor expansion of x in x 1.690 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.690 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.690 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.690 * [taylor]: Taking taylor expansion of -1 in x 1.691 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.691 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.691 * [taylor]: Taking taylor expansion of 1/3 in x 1.691 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.691 * [taylor]: Taking taylor expansion of x in x 1.692 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.692 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.692 * [taylor]: Taking taylor expansion of -1 in x 1.693 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.693 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.693 * [taylor]: Taking taylor expansion of 1/3 in x 1.693 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.757 * * * [progress]: simplifying candidates 1.759 * [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)) 1.765 * * [simplify]: iteration 0 : 378 enodes (cost 644 ) 1.772 * * [simplify]: iteration 1 : 1170 enodes (cost 603 ) 1.794 * * [simplify]: iteration 2 : 4673 enodes (cost 584 ) 1.903 * * [simplify]: iteration 3 : 5001 enodes (cost 584 ) 1.906 * [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)) 1.907 * * * [progress]: adding candidates to table 2.188 * * [progress]: iteration 3 / 4 2.188 * * * [progress]: picking best candidate 2.192 * * * * [pick]: Picked # 2.192 * * * [progress]: localizing error 2.209 * * * [progress]: generating rewritten candidates 2.209 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2) 2.215 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 2.216 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 1) 2.217 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.241 * * * [progress]: generating series expansions 2.241 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2) 2.241 * [approximate]: Taking taylor expansion of (log (pow (/ x (+ x y)) 1/3)) in (x y) around 0 2.241 * [taylor]: Taking taylor expansion of (log (pow (/ x (+ x y)) 1/3)) in y 2.241 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 2.241 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 2.241 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 2.241 * [taylor]: Taking taylor expansion of 1/3 in y 2.241 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 2.241 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 2.241 * [taylor]: Taking taylor expansion of x in y 2.241 * [taylor]: Taking taylor expansion of (+ x y) in y 2.241 * [taylor]: Taking taylor expansion of x in y 2.241 * [taylor]: Taking taylor expansion of y in y 2.244 * [taylor]: Taking taylor expansion of (log (pow (/ x (+ x y)) 1/3)) in x 2.244 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 2.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 2.244 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 2.244 * [taylor]: Taking taylor expansion of 1/3 in x 2.244 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 2.244 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 2.244 * [taylor]: Taking taylor expansion of x in x 2.244 * [taylor]: Taking taylor expansion of (+ x y) in x 2.244 * [taylor]: Taking taylor expansion of x in x 2.244 * [taylor]: Taking taylor expansion of y in x 2.245 * [taylor]: Taking taylor expansion of (log (pow (/ x (+ x y)) 1/3)) in x 2.245 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 2.245 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 2.245 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 2.245 * [taylor]: Taking taylor expansion of 1/3 in x 2.245 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 2.245 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 2.245 * [taylor]: Taking taylor expansion of x in x 2.245 * [taylor]: Taking taylor expansion of (+ x y) in x 2.245 * [taylor]: Taking taylor expansion of x in x 2.245 * [taylor]: Taking taylor expansion of y in x 2.246 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 2.246 * [taylor]: Taking taylor expansion of 1/3 in y 2.246 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 2.246 * [taylor]: Taking taylor expansion of (log x) in y 2.246 * [taylor]: Taking taylor expansion of x in y 2.246 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.246 * [taylor]: Taking taylor expansion of y in y 2.248 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 2.248 * [taylor]: Taking taylor expansion of -1/3 in y 2.249 * [taylor]: Taking taylor expansion of y in y 2.254 * [taylor]: Taking taylor expansion of (/ 1/6 (pow y 2)) in y 2.254 * [taylor]: Taking taylor expansion of 1/6 in y 2.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.254 * [taylor]: Taking taylor expansion of y in y 2.265 * [taylor]: Taking taylor expansion of (/ -1/9 (pow y 3)) in y 2.265 * [taylor]: Taking taylor expansion of -1/9 in y 2.265 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.265 * [taylor]: Taking taylor expansion of y in y 2.270 * [approximate]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in (x y) around 0 2.270 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in y 2.270 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 2.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 2.270 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 2.270 * [taylor]: Taking taylor expansion of 1/3 in y 2.270 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 2.270 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 2.270 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 2.270 * [taylor]: Taking taylor expansion of x in y 2.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.270 * [taylor]: Taking taylor expansion of y in y 2.270 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.270 * [taylor]: Taking taylor expansion of x in y 2.271 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in x 2.271 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 2.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 2.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 2.271 * [taylor]: Taking taylor expansion of 1/3 in x 2.271 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 2.272 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 2.272 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 2.272 * [taylor]: Taking taylor expansion of x in x 2.272 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.272 * [taylor]: Taking taylor expansion of y in x 2.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.272 * [taylor]: Taking taylor expansion of x in x 2.276 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in x 2.276 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 2.277 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 2.277 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 2.277 * [taylor]: Taking taylor expansion of 1/3 in x 2.277 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 2.277 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 2.277 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.277 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.277 * [taylor]: Taking taylor expansion of y in x 2.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.281 * [taylor]: Taking taylor expansion of 0 in y 2.282 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 2.282 * [taylor]: Taking taylor expansion of -1/3 in y 2.282 * [taylor]: Taking taylor expansion of y in y 2.287 * [taylor]: Taking taylor expansion of (/ 1/6 (pow y 2)) in y 2.287 * [taylor]: Taking taylor expansion of 1/6 in y 2.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.287 * [taylor]: Taking taylor expansion of y in y 2.291 * [approximate]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in (x y) around 0 2.291 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in y 2.291 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 2.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 2.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 2.291 * [taylor]: Taking taylor expansion of 1/3 in y 2.291 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 2.291 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 2.291 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 2.291 * [taylor]: Taking taylor expansion of x in y 2.291 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.291 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.291 * [taylor]: Taking taylor expansion of y in y 2.291 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.291 * [taylor]: Taking taylor expansion of x in y 2.292 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in x 2.292 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 2.292 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 2.292 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 2.292 * [taylor]: Taking taylor expansion of 1/3 in x 2.292 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 2.292 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 2.292 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 2.292 * [taylor]: Taking taylor expansion of x in x 2.292 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.292 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.292 * [taylor]: Taking taylor expansion of y in x 2.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.292 * [taylor]: Taking taylor expansion of x in x 2.297 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in x 2.297 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 2.297 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 2.297 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 2.297 * [taylor]: Taking taylor expansion of 1/3 in x 2.297 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 2.297 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 2.297 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 2.297 * [taylor]: Taking taylor expansion of x in x 2.297 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.297 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.297 * [taylor]: Taking taylor expansion of y in x 2.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.297 * [taylor]: Taking taylor expansion of x in x 2.302 * [taylor]: Taking taylor expansion of 0 in y 2.302 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 2.302 * [taylor]: Taking taylor expansion of -1/3 in y 2.302 * [taylor]: Taking taylor expansion of y in y 2.308 * [taylor]: Taking taylor expansion of (/ 1/6 (pow y 2)) in y 2.308 * [taylor]: Taking taylor expansion of 1/6 in y 2.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.308 * [taylor]: Taking taylor expansion of y in y 2.311 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 2.311 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.311 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.311 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.311 * [taylor]: Taking taylor expansion of 1/3 in x 2.311 * [taylor]: Taking taylor expansion of (log x) in x 2.311 * [taylor]: Taking taylor expansion of x in x 2.311 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.311 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.311 * [taylor]: Taking taylor expansion of 1/3 in x 2.311 * [taylor]: Taking taylor expansion of (log x) in x 2.311 * [taylor]: Taking taylor expansion of x in x 2.366 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.366 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.366 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.366 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.366 * [taylor]: Taking taylor expansion of 1/3 in x 2.366 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.366 * [taylor]: Taking taylor expansion of x in x 2.367 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.367 * [taylor]: Taking taylor expansion of 1/3 in x 2.367 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.427 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.427 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.427 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.427 * [taylor]: Taking taylor expansion of -1 in x 2.427 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.427 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.427 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.427 * [taylor]: Taking taylor expansion of 1/3 in x 2.428 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.428 * [taylor]: Taking taylor expansion of x in x 2.428 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.428 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.428 * [taylor]: Taking taylor expansion of -1 in x 2.429 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.429 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.429 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.429 * [taylor]: Taking taylor expansion of 1/3 in x 2.429 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.429 * [taylor]: Taking taylor expansion of x in x 2.499 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1 1) 2.499 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.499 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.499 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.499 * [taylor]: Taking taylor expansion of 1/3 in x 2.499 * [taylor]: Taking taylor expansion of (log x) in x 2.499 * [taylor]: Taking taylor expansion of x in x 2.500 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.500 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.500 * [taylor]: Taking taylor expansion of 1/3 in x 2.500 * [taylor]: Taking taylor expansion of (log x) in x 2.500 * [taylor]: Taking taylor expansion of x in x 2.555 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.555 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.555 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.555 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.555 * [taylor]: Taking taylor expansion of 1/3 in x 2.555 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.555 * [taylor]: Taking taylor expansion of x in x 2.556 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.556 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.556 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.556 * [taylor]: Taking taylor expansion of 1/3 in x 2.556 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.556 * [taylor]: Taking taylor expansion of x in x 2.609 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.609 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.609 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.609 * [taylor]: Taking taylor expansion of -1 in x 2.610 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.610 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.610 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.610 * [taylor]: Taking taylor expansion of 1/3 in x 2.610 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.610 * [taylor]: Taking taylor expansion of x in x 2.611 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.611 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.611 * [taylor]: Taking taylor expansion of -1 in x 2.611 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.611 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.611 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.611 * [taylor]: Taking taylor expansion of 1/3 in x 2.611 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.611 * [taylor]: Taking taylor expansion of x in x 2.681 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.681 * [approximate]: Taking taylor expansion of (pow (pow (/ x (+ x y)) 1/3) x) in (x y) around 0 2.681 * [taylor]: Taking taylor expansion of (pow (pow (/ x (+ x y)) 1/3) x) in y 2.681 * [taylor]: Taking taylor expansion of (exp (* x (log (pow (/ x (+ x y)) 1/3)))) in y 2.681 * [taylor]: Taking taylor expansion of (* x (log (pow (/ x (+ x y)) 1/3))) in y 2.681 * [taylor]: Taking taylor expansion of x in y 2.681 * [taylor]: Taking taylor expansion of (log (pow (/ x (+ x y)) 1/3)) in y 2.681 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 2.681 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 2.681 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 2.681 * [taylor]: Taking taylor expansion of 1/3 in y 2.682 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 2.682 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 2.682 * [taylor]: Taking taylor expansion of x in y 2.682 * [taylor]: Taking taylor expansion of (+ x y) in y 2.682 * [taylor]: Taking taylor expansion of x in y 2.682 * [taylor]: Taking taylor expansion of y in y 2.684 * [taylor]: Taking taylor expansion of (pow (pow (/ x (+ x y)) 1/3) x) in x 2.684 * [taylor]: Taking taylor expansion of (exp (* x (log (pow (/ x (+ x y)) 1/3)))) in x 2.684 * [taylor]: Taking taylor expansion of (* x (log (pow (/ x (+ x y)) 1/3))) in x 2.684 * [taylor]: Taking taylor expansion of x in x 2.684 * [taylor]: Taking taylor expansion of (log (pow (/ x (+ x y)) 1/3)) in x 2.684 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 2.684 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 2.684 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 2.684 * [taylor]: Taking taylor expansion of 1/3 in x 2.685 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 2.685 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.685 * [taylor]: Taking taylor expansion of (+ x y) in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.685 * [taylor]: Taking taylor expansion of y in x 2.687 * [taylor]: Taking taylor expansion of (pow (pow (/ x (+ x y)) 1/3) x) in x 2.687 * [taylor]: Taking taylor expansion of (exp (* x (log (pow (/ x (+ x y)) 1/3)))) in x 2.687 * [taylor]: Taking taylor expansion of (* x (log (pow (/ x (+ x y)) 1/3))) in x 2.687 * [taylor]: Taking taylor expansion of x in x 2.687 * [taylor]: Taking taylor expansion of (log (pow (/ x (+ x y)) 1/3)) in x 2.687 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 2.687 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 2.687 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 2.687 * [taylor]: Taking taylor expansion of 1/3 in x 2.687 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 2.687 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 2.687 * [taylor]: Taking taylor expansion of x in x 2.687 * [taylor]: Taking taylor expansion of (+ x y) in x 2.687 * [taylor]: Taking taylor expansion of x in x 2.687 * [taylor]: Taking taylor expansion of y in x 2.690 * [taylor]: Taking taylor expansion of 1 in y 2.690 * [taylor]: Taking taylor expansion of (+ (* 1/3 (log x)) (* 1/3 (log (/ 1 y)))) in y 2.690 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in y 2.690 * [taylor]: Taking taylor expansion of 1/3 in y 2.690 * [taylor]: Taking taylor expansion of (log x) in y 2.690 * [taylor]: Taking taylor expansion of x in y 2.690 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 2.690 * [taylor]: Taking taylor expansion of 1/3 in y 2.690 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.690 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.691 * [taylor]: Taking taylor expansion of y in y 2.695 * [taylor]: Taking taylor expansion of (- (+ (* 1/9 (* (log x) (log (/ 1 y)))) (+ (* 1/18 (pow (log x) 2)) (* 1/18 (pow (log (/ 1 y)) 2)))) (* 1/3 (/ 1 y))) in y 2.695 * [taylor]: Taking taylor expansion of (+ (* 1/9 (* (log x) (log (/ 1 y)))) (+ (* 1/18 (pow (log x) 2)) (* 1/18 (pow (log (/ 1 y)) 2)))) in y 2.695 * [taylor]: Taking taylor expansion of (* 1/9 (* (log x) (log (/ 1 y)))) in y 2.695 * [taylor]: Taking taylor expansion of 1/9 in y 2.695 * [taylor]: Taking taylor expansion of (* (log x) (log (/ 1 y))) in y 2.695 * [taylor]: Taking taylor expansion of (log x) in y 2.695 * [taylor]: Taking taylor expansion of x in y 2.695 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.695 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.695 * [taylor]: Taking taylor expansion of y in y 2.695 * [taylor]: Taking taylor expansion of (+ (* 1/18 (pow (log x) 2)) (* 1/18 (pow (log (/ 1 y)) 2))) in y 2.696 * [taylor]: Taking taylor expansion of (* 1/18 (pow (log x) 2)) in y 2.696 * [taylor]: Taking taylor expansion of 1/18 in y 2.696 * [taylor]: Taking taylor expansion of (pow (log x) 2) in y 2.696 * [taylor]: Taking taylor expansion of (log x) in y 2.696 * [taylor]: Taking taylor expansion of x in y 2.696 * [taylor]: Taking taylor expansion of (* 1/18 (pow (log (/ 1 y)) 2)) in y 2.696 * [taylor]: Taking taylor expansion of 1/18 in y 2.696 * [taylor]: Taking taylor expansion of (pow (log (/ 1 y)) 2) in y 2.696 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.696 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.696 * [taylor]: Taking taylor expansion of y in y 2.696 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 y)) in y 2.697 * [taylor]: Taking taylor expansion of 1/3 in y 2.697 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.697 * [taylor]: Taking taylor expansion of y in y 2.701 * [approximate]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ 1 x)) in (x y) around 0 2.701 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ 1 x)) in y 2.701 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)))) in y 2.701 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3))) in y 2.701 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.701 * [taylor]: Taking taylor expansion of x in y 2.701 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in y 2.701 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 2.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 2.701 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 2.701 * [taylor]: Taking taylor expansion of 1/3 in y 2.701 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 2.701 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 2.701 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 2.701 * [taylor]: Taking taylor expansion of x in y 2.701 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.701 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.701 * [taylor]: Taking taylor expansion of y in y 2.701 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.701 * [taylor]: Taking taylor expansion of x in y 2.703 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ 1 x)) in x 2.703 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)))) in x 2.703 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3))) in x 2.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.703 * [taylor]: Taking taylor expansion of x in x 2.703 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in x 2.703 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 2.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 2.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 2.703 * [taylor]: Taking taylor expansion of 1/3 in x 2.703 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 2.703 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 2.703 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 2.703 * [taylor]: Taking taylor expansion of x in x 2.703 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.703 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.703 * [taylor]: Taking taylor expansion of y in x 2.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.703 * [taylor]: Taking taylor expansion of x in x 2.709 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ 1 x)) in x 2.709 * [taylor]: Taking taylor expansion of (exp (* (/ 1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)))) in x 2.709 * [taylor]: Taking taylor expansion of (* (/ 1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3))) in x 2.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.709 * [taylor]: Taking taylor expansion of x in x 2.709 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in x 2.710 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 2.710 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 2.710 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 2.710 * [taylor]: Taking taylor expansion of 1/3 in x 2.710 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 2.710 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 2.710 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 2.710 * [taylor]: Taking taylor expansion of x in x 2.710 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.710 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.710 * [taylor]: Taking taylor expansion of y in x 2.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.710 * [taylor]: Taking taylor expansion of x in x 2.721 * [taylor]: Taking taylor expansion of (exp (- (* 1/3 (/ 1 y)))) in y 2.721 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 y))) in y 2.722 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 y)) in y 2.722 * [taylor]: Taking taylor expansion of 1/3 in y 2.722 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.722 * [taylor]: Taking taylor expansion of y in y 2.728 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (- (* 1/3 (/ 1 y)))) (pow y 2))) in y 2.728 * [taylor]: Taking taylor expansion of 1/6 in y 2.728 * [taylor]: Taking taylor expansion of (/ (exp (- (* 1/3 (/ 1 y)))) (pow y 2)) in y 2.728 * [taylor]: Taking taylor expansion of (exp (- (* 1/3 (/ 1 y)))) in y 2.728 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 y))) in y 2.728 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 y)) in y 2.728 * [taylor]: Taking taylor expansion of 1/3 in y 2.728 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.728 * [taylor]: Taking taylor expansion of y in y 2.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.729 * [taylor]: Taking taylor expansion of y in y 2.740 * [taylor]: Taking taylor expansion of (* (- (* 1/72 (/ 1 (pow y 4))) (* 1/9 (/ 1 (pow y 3)))) (exp (- (* 1/3 (/ 1 y))))) in y 2.741 * [taylor]: Taking taylor expansion of (- (* 1/72 (/ 1 (pow y 4))) (* 1/9 (/ 1 (pow y 3)))) in y 2.741 * [taylor]: Taking taylor expansion of (* 1/72 (/ 1 (pow y 4))) in y 2.741 * [taylor]: Taking taylor expansion of 1/72 in y 2.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.741 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.741 * [taylor]: Taking taylor expansion of y in y 2.741 * [taylor]: Taking taylor expansion of (* 1/9 (/ 1 (pow y 3))) in y 2.741 * [taylor]: Taking taylor expansion of 1/9 in y 2.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.741 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.741 * [taylor]: Taking taylor expansion of y in y 2.742 * [taylor]: Taking taylor expansion of (exp (- (* 1/3 (/ 1 y)))) in y 2.742 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 y))) in y 2.742 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 y)) in y 2.742 * [taylor]: Taking taylor expansion of 1/3 in y 2.742 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.742 * [taylor]: Taking taylor expansion of y in y 2.773 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/1296 (/ 1 (pow y 6))) (* 1/12 (/ 1 (pow y 4)))) (* 1/54 (/ 1 (pow y 5)))) (exp (- (* 1/3 (/ 1 y))))) in y 2.774 * [taylor]: Taking taylor expansion of (- (+ (* 1/1296 (/ 1 (pow y 6))) (* 1/12 (/ 1 (pow y 4)))) (* 1/54 (/ 1 (pow y 5)))) in y 2.774 * [taylor]: Taking taylor expansion of (+ (* 1/1296 (/ 1 (pow y 6))) (* 1/12 (/ 1 (pow y 4)))) in y 2.774 * [taylor]: Taking taylor expansion of (* 1/1296 (/ 1 (pow y 6))) in y 2.774 * [taylor]: Taking taylor expansion of 1/1296 in y 2.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 2.774 * [taylor]: Taking taylor expansion of (pow y 6) in y 2.774 * [taylor]: Taking taylor expansion of y in y 2.775 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow y 4))) in y 2.775 * [taylor]: Taking taylor expansion of 1/12 in y 2.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.775 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.775 * [taylor]: Taking taylor expansion of y in y 2.776 * [taylor]: Taking taylor expansion of (* 1/54 (/ 1 (pow y 5))) in y 2.776 * [taylor]: Taking taylor expansion of 1/54 in y 2.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 2.776 * [taylor]: Taking taylor expansion of (pow y 5) in y 2.776 * [taylor]: Taking taylor expansion of y in y 2.777 * [taylor]: Taking taylor expansion of (exp (- (* 1/3 (/ 1 y)))) in y 2.777 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 y))) in y 2.777 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 y)) in y 2.777 * [taylor]: Taking taylor expansion of 1/3 in y 2.777 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.777 * [taylor]: Taking taylor expansion of y in y 2.829 * [approximate]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ -1 x)) in (x y) around 0 2.829 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ -1 x)) in y 2.829 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)))) in y 2.829 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3))) in y 2.829 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.829 * [taylor]: Taking taylor expansion of -1 in y 2.829 * [taylor]: Taking taylor expansion of x in y 2.829 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in y 2.829 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 2.829 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 2.830 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 2.830 * [taylor]: Taking taylor expansion of 1/3 in y 2.830 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 2.830 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 2.830 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 2.830 * [taylor]: Taking taylor expansion of x in y 2.830 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.830 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.830 * [taylor]: Taking taylor expansion of y in y 2.830 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.830 * [taylor]: Taking taylor expansion of x in y 2.831 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ -1 x)) in x 2.831 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)))) in x 2.831 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3))) in x 2.831 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.831 * [taylor]: Taking taylor expansion of -1 in x 2.831 * [taylor]: Taking taylor expansion of x in x 2.831 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in x 2.832 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 2.832 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 2.832 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 2.832 * [taylor]: Taking taylor expansion of 1/3 in x 2.832 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 2.832 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 2.832 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 2.832 * [taylor]: Taking taylor expansion of x in x 2.832 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.832 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.832 * [taylor]: Taking taylor expansion of y in x 2.832 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.832 * [taylor]: Taking taylor expansion of x in x 2.838 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) (/ -1 x)) in x 2.838 * [taylor]: Taking taylor expansion of (exp (* (/ -1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)))) in x 2.838 * [taylor]: Taking taylor expansion of (* (/ -1 x) (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3))) in x 2.838 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.838 * [taylor]: Taking taylor expansion of -1 in x 2.838 * [taylor]: Taking taylor expansion of x in x 2.838 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3)) in x 2.838 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 2.838 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 2.838 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 2.838 * [taylor]: Taking taylor expansion of 1/3 in x 2.838 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 2.838 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 2.838 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 2.839 * [taylor]: Taking taylor expansion of x in x 2.839 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.839 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.839 * [taylor]: Taking taylor expansion of y in x 2.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.839 * [taylor]: Taking taylor expansion of x in x 2.845 * [taylor]: Taking taylor expansion of (exp (/ 1/3 y)) in y 2.845 * [taylor]: Taking taylor expansion of (/ 1/3 y) in y 2.845 * [taylor]: Taking taylor expansion of 1/3 in y 2.845 * [taylor]: Taking taylor expansion of y in y 2.851 * [taylor]: Taking taylor expansion of (* -1/6 (/ (exp (/ 1/3 y)) (pow y 2))) in y 2.851 * [taylor]: Taking taylor expansion of -1/6 in y 2.851 * [taylor]: Taking taylor expansion of (/ (exp (/ 1/3 y)) (pow y 2)) in y 2.851 * [taylor]: Taking taylor expansion of (exp (/ 1/3 y)) in y 2.851 * [taylor]: Taking taylor expansion of (/ 1/3 y) in y 2.851 * [taylor]: Taking taylor expansion of 1/3 in y 2.851 * [taylor]: Taking taylor expansion of y in y 2.851 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.851 * [taylor]: Taking taylor expansion of y in y 2.862 * [taylor]: Taking taylor expansion of (* (+ (* 1/9 (/ 1 (pow y 3))) (* 1/72 (/ 1 (pow y 4)))) (exp (/ 1/3 y))) in y 2.862 * [taylor]: Taking taylor expansion of (+ (* 1/9 (/ 1 (pow y 3))) (* 1/72 (/ 1 (pow y 4)))) in y 2.862 * [taylor]: Taking taylor expansion of (* 1/9 (/ 1 (pow y 3))) in y 2.862 * [taylor]: Taking taylor expansion of 1/9 in y 2.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.862 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.862 * [taylor]: Taking taylor expansion of y in y 2.863 * [taylor]: Taking taylor expansion of (* 1/72 (/ 1 (pow y 4))) in y 2.863 * [taylor]: Taking taylor expansion of 1/72 in y 2.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.863 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.863 * [taylor]: Taking taylor expansion of y in y 2.864 * [taylor]: Taking taylor expansion of (exp (/ 1/3 y)) in y 2.864 * [taylor]: Taking taylor expansion of (/ 1/3 y) in y 2.864 * [taylor]: Taking taylor expansion of 1/3 in y 2.864 * [taylor]: Taking taylor expansion of y in y 2.900 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/1296 (/ 1 (pow y 6))) (+ (* 1/12 (/ 1 (pow y 4))) (* 1/54 (/ 1 (pow y 5))))) (exp (/ 1/3 y)))) in y 2.900 * [taylor]: Taking taylor expansion of -1 in y 2.900 * [taylor]: Taking taylor expansion of (* (+ (* 1/1296 (/ 1 (pow y 6))) (+ (* 1/12 (/ 1 (pow y 4))) (* 1/54 (/ 1 (pow y 5))))) (exp (/ 1/3 y))) in y 2.900 * [taylor]: Taking taylor expansion of (+ (* 1/1296 (/ 1 (pow y 6))) (+ (* 1/12 (/ 1 (pow y 4))) (* 1/54 (/ 1 (pow y 5))))) in y 2.900 * [taylor]: Taking taylor expansion of (* 1/1296 (/ 1 (pow y 6))) in y 2.901 * [taylor]: Taking taylor expansion of 1/1296 in y 2.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 2.901 * [taylor]: Taking taylor expansion of (pow y 6) in y 2.901 * [taylor]: Taking taylor expansion of y in y 2.902 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow y 4))) (* 1/54 (/ 1 (pow y 5)))) in y 2.902 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow y 4))) in y 2.902 * [taylor]: Taking taylor expansion of 1/12 in y 2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.902 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.902 * [taylor]: Taking taylor expansion of y in y 2.902 * [taylor]: Taking taylor expansion of (* 1/54 (/ 1 (pow y 5))) in y 2.902 * [taylor]: Taking taylor expansion of 1/54 in y 2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 2.902 * [taylor]: Taking taylor expansion of (pow y 5) in y 2.902 * [taylor]: Taking taylor expansion of y in y 2.903 * [taylor]: Taking taylor expansion of (exp (/ 1/3 y)) in y 2.903 * [taylor]: Taking taylor expansion of (/ 1/3 y) in y 2.903 * [taylor]: Taking taylor expansion of 1/3 in y 2.903 * [taylor]: Taking taylor expansion of y in y 2.952 * * * [progress]: simplifying candidates 2.955 * [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 (/ (* 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(cbrt x)) (cbrt (cbrt x))) (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) 1) x) (pow (/ (cbrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (sqrt (cbrt x)) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (sqrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (cbrt (sqrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) 1) x) (pow (/ (sqrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (sqrt (cbrt x)) 1) x) (pow (/ (sqrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ (sqrt (cbrt x)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (sqrt (cbrt x)) (cbrt (cbrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) (sqrt (cbrt (+ x y)))) x) (pow (/ (sqrt (cbrt x)) 1) x) (pow (/ (sqrt (cbrt x)) (cbrt (+ x y))) x) (pow (/ 1 (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ 1 (cbrt (sqrt (+ x y)))) x) (pow (/ (cbrt x) (cbrt (sqrt (+ x y)))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (/ 1 (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))) x) (pow (/ (cbrt x) (cbrt (cbrt (+ x y)))) x) (pow (/ 1 (sqrt (cbrt (+ x y)))) x) (pow (/ (cbrt x) (sqrt (cbrt (+ x y)))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) 1 (pow (/ (cbrt x) (cbrt (+ x y))) x) (pow (cbrt x) x) (pow (/ 1 (cbrt (+ x y))) x) (pow (/ (cbrt x) (cbrt (+ (pow x 3) (pow y 3)))) x) (pow (cbrt (+ (* x x) (- (* y y) (* x y)))) x) (pow (/ (cbrt x) (cbrt (- (* x x) (* y y)))) x) (pow (cbrt (- x y)) x) (log (pow (/ (cbrt x) (cbrt (+ x y))) x)) (exp (pow (/ (cbrt x) (cbrt (+ x y))) x)) (* (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) x))) (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (pow (pow (/ (cbrt x) (cbrt (+ x y))) x) 3) (sqrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (sqrt (pow (/ (cbrt x) (cbrt (+ x y))) x)) (pow (/ (cbrt x) (cbrt (+ x y))) (/ x 2)) (pow (/ (cbrt x) (cbrt (+ x y))) (/ x 2)) (* 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 (* 1/18 (pow x 2)) (pow (log y) 2) (- (fma 1/3 (* (log x) x) (fma 1/18 (* (pow (log x) 2) (pow x 2)) 1)) (fma 1/3 (* x (log y)) (* 1/9 (* (log x) (* (pow x 2) (log y))))))) (exp (* -1/3 y)) (exp (* -1/3 y)) 3.017 * * * [progress]: adding candidates to table 3.571 * * [progress]: iteration 4 / 4 3.572 * * * [progress]: picking best candidate 3.573 * * * * [pick]: Picked # 3.573 * * * [progress]: localizing error 3.578 * * * [progress]: generating rewritten candidates 3.578 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.582 * * * [progress]: generating series expansions 3.582 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.582 * [approximate]: Taking taylor expansion of (/ (exp (* -1 y)) x) in (y x) around 0 3.583 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in x 3.583 * [taylor]: Taking taylor expansion of (exp (* -1 y)) in x 3.583 * [taylor]: Taking taylor expansion of (* -1 y) in x 3.583 * [taylor]: Taking taylor expansion of -1 in x 3.583 * [taylor]: Taking taylor expansion of y in x 3.583 * [taylor]: Taking taylor expansion of x in x 3.583 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in y 3.583 * [taylor]: Taking taylor expansion of (exp (* -1 y)) in y 3.583 * [taylor]: Taking taylor expansion of (* -1 y) in y 3.583 * [taylor]: Taking taylor expansion of -1 in y 3.583 * [taylor]: Taking taylor expansion of y in y 3.584 * [taylor]: Taking taylor expansion of x in y 3.584 * [taylor]: Taking taylor expansion of (/ (exp (* -1 y)) x) in y 3.584 * [taylor]: Taking taylor expansion of (exp (* -1 y)) in y 3.584 * [taylor]: Taking taylor expansion of (* -1 y) in y 3.584 * [taylor]: Taking taylor expansion of -1 in y 3.584 * [taylor]: Taking taylor expansion of y in y 3.585 * [taylor]: Taking taylor expansion of x in y 3.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.585 * [taylor]: Taking taylor expansion of x in x 3.586 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.586 * [taylor]: Taking taylor expansion of x in x 3.588 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 3.588 * [taylor]: Taking taylor expansion of 1/2 in x 3.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.588 * [taylor]: Taking taylor expansion of x in x 3.589 * [approximate]: Taking taylor expansion of (* (exp (/ -1 y)) x) in (y x) around 0 3.589 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in x 3.589 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 3.589 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.589 * [taylor]: Taking taylor expansion of -1 in x 3.589 * [taylor]: Taking taylor expansion of y in x 3.589 * [taylor]: Taking taylor expansion of x in x 3.589 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in y 3.589 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 3.589 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.589 * [taylor]: Taking taylor expansion of -1 in y 3.589 * [taylor]: Taking taylor expansion of y in y 3.590 * [taylor]: Taking taylor expansion of x in y 3.590 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in y 3.590 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 3.590 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.590 * [taylor]: Taking taylor expansion of -1 in y 3.590 * [taylor]: Taking taylor expansion of y in y 3.590 * [taylor]: Taking taylor expansion of x in y 3.590 * [taylor]: Taking taylor expansion of (* (exp (/ -1 y)) x) in x 3.590 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 3.590 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.590 * [taylor]: Taking taylor expansion of -1 in x 3.590 * [taylor]: Taking taylor expansion of y in x 3.590 * [taylor]: Taking taylor expansion of x in x 3.591 * [taylor]: Taking taylor expansion of 0 in x 3.592 * [taylor]: Taking taylor expansion of 0 in x 3.594 * [taylor]: Taking taylor expansion of 0 in x 3.594 * [approximate]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in (y x) around 0 3.594 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in x 3.594 * [taylor]: Taking taylor expansion of -1 in x 3.594 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in x 3.594 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 3.594 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.594 * [taylor]: Taking taylor expansion of y in x 3.594 * [taylor]: Taking taylor expansion of x in x 3.594 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in y 3.594 * [taylor]: Taking taylor expansion of -1 in y 3.594 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in y 3.594 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 3.594 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.594 * [taylor]: Taking taylor expansion of y in y 3.594 * [taylor]: Taking taylor expansion of x in y 3.594 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in y 3.594 * [taylor]: Taking taylor expansion of -1 in y 3.594 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in y 3.594 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 3.594 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.594 * [taylor]: Taking taylor expansion of y in y 3.595 * [taylor]: Taking taylor expansion of x in y 3.595 * [taylor]: Taking taylor expansion of (* -1 (* (exp (/ 1 y)) x)) in x 3.595 * [taylor]: Taking taylor expansion of -1 in x 3.595 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) x) in x 3.595 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 3.595 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.595 * [taylor]: Taking taylor expansion of y in x 3.595 * [taylor]: Taking taylor expansion of x in x 3.596 * [taylor]: Taking taylor expansion of 0 in x 3.598 * [taylor]: Taking taylor expansion of 0 in x 3.601 * [taylor]: Taking taylor expansion of 0 in x 3.601 * * * [progress]: simplifying candidates 3.602 * [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) 3.606 * * [simplify]: iteration 0 : 118 enodes (cost 194 ) 3.609 * * [simplify]: iteration 1 : 313 enodes (cost 179 ) 3.616 * * [simplify]: iteration 2 : 1512 enodes (cost 177 ) 3.651 * * [simplify]: iteration 3 : 5001 enodes (cost 177 ) 3.653 * [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) 3.653 * * * [progress]: adding candidates to table 3.724 * [progress]: [Phase 3 of 3] Extracting. 3.724 * * [regime]: Finding splitpoints for: (# # # #) 3.725 * * * [regime-changes]: Trying 2 branch expressions: (y x) 3.725 * * * * [regimes]: Trying to branch on y from (# # # #) 3.742 * * * * [regimes]: Trying to branch on x from (# # # #) 3.759 * * * [regime]: Found split indices: #