15.067 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (/ x (+ y x)) 0.013 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.015 * [simplify]: Simplified to: (/ x (+ y x)) 0.015 * * [progress]: iteration 1 / 4 0.015 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.021 * * * [progress]: generating rewritten candidates 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.027 * * * [progress]: generating series expansions 0.027 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.027 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.027 * [taylor]: Taking taylor expansion of x in y 0.027 * [taylor]: Taking taylor expansion of (+ x y) in y 0.027 * [taylor]: Taking taylor expansion of x in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ x y) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ x y) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.039 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.039 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.040 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.041 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of 1 in y 0.045 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.052 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.052 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.053 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.055 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of 1 in y 0.058 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.065 * * * [progress]: simplifying candidates 0.066 * [simplify]: Simplifying using # : (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.069 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.072 * * [simplify]: iteration 1 : 391 enodes (cost 150 ) 0.077 * * [simplify]: iteration 2 : 1069 enodes (cost 150 ) 0.094 * * [simplify]: iteration 3 : 3853 enodes (cost 150 ) 0.141 * * [simplify]: iteration 4 : 5001 enodes (cost 150 ) 0.143 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.143 * * * [progress]: adding candidates to table 0.188 * * [progress]: iteration 2 / 4 0.188 * * * [progress]: picking best candidate 0.191 * * * * [pick]: Picked # 0.191 * * * [progress]: localizing error 0.195 * * * [progress]: generating rewritten candidates 0.195 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.204 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.212 * * * [progress]: generating series expansions 0.212 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.212 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.212 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [taylor]: Taking taylor expansion of (+ x y) in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (+ x y) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (+ x y) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.223 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.223 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.223 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.224 * [taylor]: Taking taylor expansion of x in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.224 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.226 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of 1 in y 0.229 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.239 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.239 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.239 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.240 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.242 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of 1 in y 0.245 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.252 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.252 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 0.252 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.252 * [taylor]: Taking taylor expansion of (+ x y) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.252 * [taylor]: Taking taylor expansion of (+ x y) in y 0.253 * [taylor]: Taking taylor expansion of x in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.253 * [taylor]: Taking taylor expansion of (+ x y) in y 0.253 * [taylor]: Taking taylor expansion of x in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.263 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.263 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of 1 in x 0.267 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.273 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.273 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.273 * [taylor]: Taking taylor expansion of -1 in x 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.274 * [taylor]: Taking taylor expansion of -1 in y 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.275 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.275 * [taylor]: Taking taylor expansion of -1 in y 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of -1 in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.283 * * * [progress]: simplifying candidates 0.284 * [simplify]: Simplifying using # : (expm1 (* x (/ 1 (+ y x)))) (log1p (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x))) (+ (log x) (- (log (+ y x)))) (+ (log x) (- 0 (log (+ y x)))) (+ (log x) (- (log 1) (log (+ y x)))) (+ (log x) (log (/ 1 (+ y x)))) (log (* x (/ 1 (+ y x)))) (exp (* x (/ 1 (+ y x)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x)))) (* (* (* x x) x) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x)))) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (* (* (* x (/ 1 (+ y x))) (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (sqrt 1) (sqrt (+ y x)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ 1 (sqrt (+ y x)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow y 3) (pow x 3)))) (* x (/ 1 (- (* y y) (* x x)))) (* (cbrt x) (/ 1 (+ y x))) (* (sqrt x) (/ 1 (+ y x))) (* x (/ 1 (+ y x))) (* x 1) (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y x))) (- 1) (- (log (+ y x))) (- 0 (log (+ y x))) (- (log 1) (log (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt 1) (cbrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x))) (/ (cbrt 1) (sqrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt 1) (cbrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 (+ y x)) (/ 1 1) (/ 1 (+ y x)) (/ 1 (+ y x)) (/ (+ y x) 1) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 1) (/ (+ y x) (cbrt 1)) (/ (+ y x) (sqrt 1)) (/ (+ y x) 1) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 0.289 * * [simplify]: iteration 0 : 231 enodes (cost 360 ) 0.294 * * [simplify]: iteration 1 : 1013 enodes (cost 310 ) 0.309 * * [simplify]: iteration 2 : 3518 enodes (cost 272 ) 0.337 * * [simplify]: iteration 3 : 5002 enodes (cost 272 ) 0.340 * [simplify]: Simplified to: (expm1 (* x (/ 1 (+ y x)))) (log1p (* x (/ 1 (+ y x)))) (/ x (+ y x)) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (exp (* x (/ 1 (+ y x)))) (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (pow (/ x (+ y x)) 3) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x x x (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) (/ (cbrt x) (+ y x)) (/ (sqrt x) (+ y x)) (/ x (+ y x)) x (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y x))) (- 1) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ 1 (pow (+ y x) 3)) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (/ 1 (pow (+ y x) 3)) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (+ y x)) (+ y x) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) 1 1 (+ y x) (+ y x) (+ y x) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 0.340 * * * [progress]: adding candidates to table 0.420 * * [progress]: iteration 3 / 4 0.420 * * * [progress]: picking best candidate 0.421 * * * * [pick]: Picked # 0.421 * * * [progress]: localizing error 0.428 * * * [progress]: generating rewritten candidates 0.428 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.433 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.437 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.441 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.470 * * * [progress]: generating series expansions 0.470 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.470 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 0.470 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 0.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 0.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 0.470 * [taylor]: Taking taylor expansion of 1/3 in y 0.470 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.470 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of (+ x y) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.472 * [taylor]: Taking taylor expansion of 1/3 in x 0.472 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.472 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (+ x y) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.472 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.473 * [taylor]: Taking taylor expansion of 1/3 in x 0.473 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.473 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (+ x y) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.473 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.473 * [taylor]: Taking taylor expansion of 1/3 in y 0.473 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.473 * [taylor]: Taking taylor expansion of (log x) in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.473 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y)) in y 0.476 * [taylor]: Taking taylor expansion of -1/3 in y 0.476 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 0.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.476 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.476 * [taylor]: Taking taylor expansion of 1/3 in y 0.476 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.476 * [taylor]: Taking taylor expansion of (log x) in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 0.485 * [taylor]: Taking taylor expansion of 2/9 in y 0.485 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) in y 0.485 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.485 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.485 * [taylor]: Taking taylor expansion of 1/3 in y 0.485 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.485 * [taylor]: Taking taylor expansion of (log x) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.485 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 0.513 * [taylor]: Taking taylor expansion of -14/81 in y 0.513 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 0.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.513 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.513 * [taylor]: Taking taylor expansion of 1/3 in y 0.513 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.513 * [taylor]: Taking taylor expansion of (log x) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.534 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.534 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.534 * [taylor]: Taking taylor expansion of 1/3 in y 0.534 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.534 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.535 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.535 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.535 * [taylor]: Taking taylor expansion of 1/3 in x 0.535 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.535 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.535 * [taylor]: Taking taylor expansion of y in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.539 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.539 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.539 * [taylor]: Taking taylor expansion of 1/3 in x 0.539 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.540 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of 1 in y 0.544 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.544 * [taylor]: Taking taylor expansion of -1/3 in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.548 * [taylor]: Taking taylor expansion of 2/9 in y 0.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.556 * [taylor]: Taking taylor expansion of -14/81 in y 0.556 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.561 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.561 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.561 * [taylor]: Taking taylor expansion of 1/3 in y 0.561 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.561 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.562 * [taylor]: Taking taylor expansion of x in y 0.562 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.562 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.562 * [taylor]: Taking taylor expansion of 1/3 in x 0.562 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.563 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.563 * [taylor]: Taking taylor expansion of y in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.567 * [taylor]: Taking taylor expansion of 1/3 in x 0.567 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.567 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of 1 in y 0.571 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.571 * [taylor]: Taking taylor expansion of -1/3 in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.580 * [taylor]: Taking taylor expansion of 2/9 in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.588 * [taylor]: Taking taylor expansion of -14/81 in y 0.588 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.593 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.593 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 0.593 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 0.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 0.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 0.593 * [taylor]: Taking taylor expansion of 1/3 in y 0.593 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.593 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.593 * [taylor]: Taking taylor expansion of x in y 0.593 * [taylor]: Taking taylor expansion of (+ x y) in y 0.593 * [taylor]: Taking taylor expansion of x in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.595 * [taylor]: Taking taylor expansion of 1/3 in x 0.595 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.595 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (+ x y) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.595 * [taylor]: Taking taylor expansion of 1/3 in x 0.595 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.595 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (+ x y) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.596 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.596 * [taylor]: Taking taylor expansion of 1/3 in y 0.596 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.596 * [taylor]: Taking taylor expansion of (log x) in y 0.596 * [taylor]: Taking taylor expansion of x in y 0.596 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.598 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y)) in y 0.598 * [taylor]: Taking taylor expansion of -1/3 in y 0.598 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 0.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.598 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.598 * [taylor]: Taking taylor expansion of 1/3 in y 0.599 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.599 * [taylor]: Taking taylor expansion of (log x) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 0.608 * [taylor]: Taking taylor expansion of 2/9 in y 0.608 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) in y 0.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.608 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.608 * [taylor]: Taking taylor expansion of 1/3 in y 0.608 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.608 * [taylor]: Taking taylor expansion of (log x) in y 0.608 * [taylor]: Taking taylor expansion of x in y 0.608 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.608 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.609 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 0.631 * [taylor]: Taking taylor expansion of -14/81 in y 0.631 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 0.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.631 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.631 * [taylor]: Taking taylor expansion of 1/3 in y 0.631 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.631 * [taylor]: Taking taylor expansion of (log x) in y 0.631 * [taylor]: Taking taylor expansion of x in y 0.631 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.632 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.657 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.657 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.657 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.657 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.657 * [taylor]: Taking taylor expansion of 1/3 in y 0.657 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.657 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.657 * [taylor]: Taking taylor expansion of x in y 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.658 * [taylor]: Taking taylor expansion of x in y 0.659 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.659 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.659 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.659 * [taylor]: Taking taylor expansion of 1/3 in x 0.659 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.659 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.666 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.666 * [taylor]: Taking taylor expansion of 1/3 in x 0.666 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.666 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of 1 in y 0.679 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.679 * [taylor]: Taking taylor expansion of -1/3 in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.685 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.686 * [taylor]: Taking taylor expansion of 2/9 in y 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.698 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.698 * [taylor]: Taking taylor expansion of -14/81 in y 0.698 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.706 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.707 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.707 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.707 * [taylor]: Taking taylor expansion of 1/3 in y 0.707 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.707 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.707 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.707 * [taylor]: Taking taylor expansion of x in y 0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.707 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.707 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.707 * [taylor]: Taking taylor expansion of x in y 0.709 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.709 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.709 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.709 * [taylor]: Taking taylor expansion of 1/3 in x 0.709 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.709 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.716 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.716 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.716 * [taylor]: Taking taylor expansion of 1/3 in x 0.716 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.716 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.716 * [taylor]: Taking taylor expansion of y in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of 1 in y 0.723 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.723 * [taylor]: Taking taylor expansion of -1/3 in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.728 * [taylor]: Taking taylor expansion of 2/9 in y 0.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.736 * [taylor]: Taking taylor expansion of -14/81 in y 0.736 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.741 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.741 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 0.741 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 0.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 0.741 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 0.741 * [taylor]: Taking taylor expansion of 1/3 in y 0.741 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.741 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.741 * [taylor]: Taking taylor expansion of x in y 0.741 * [taylor]: Taking taylor expansion of (+ x y) in y 0.741 * [taylor]: Taking taylor expansion of x in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.743 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.743 * [taylor]: Taking taylor expansion of 1/3 in x 0.743 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.743 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (+ x y) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of y in x 0.743 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.743 * [taylor]: Taking taylor expansion of 1/3 in x 0.743 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.743 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (+ x y) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of y in x 0.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.744 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.744 * [taylor]: Taking taylor expansion of 1/3 in y 0.744 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.744 * [taylor]: Taking taylor expansion of (log x) in y 0.744 * [taylor]: Taking taylor expansion of x in y 0.744 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.744 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.746 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y)) in y 0.746 * [taylor]: Taking taylor expansion of -1/3 in y 0.747 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 0.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.747 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.747 * [taylor]: Taking taylor expansion of 1/3 in y 0.747 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.747 * [taylor]: Taking taylor expansion of (log x) in y 0.747 * [taylor]: Taking taylor expansion of x in y 0.747 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.747 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 0.756 * [taylor]: Taking taylor expansion of 2/9 in y 0.756 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) in y 0.756 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.756 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.756 * [taylor]: Taking taylor expansion of 1/3 in y 0.756 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.756 * [taylor]: Taking taylor expansion of (log x) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.756 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.757 * [taylor]: Taking taylor expansion of y in y 0.786 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 0.786 * [taylor]: Taking taylor expansion of -14/81 in y 0.786 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 0.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.786 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.786 * [taylor]: Taking taylor expansion of 1/3 in y 0.786 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.786 * [taylor]: Taking taylor expansion of (log x) in y 0.786 * [taylor]: Taking taylor expansion of x in y 0.787 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.787 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.809 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.809 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.809 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.809 * [taylor]: Taking taylor expansion of 1/3 in y 0.809 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.809 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.809 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.809 * [taylor]: Taking taylor expansion of x in y 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.809 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.809 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.809 * [taylor]: Taking taylor expansion of x in y 0.810 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.810 * [taylor]: Taking taylor expansion of 1/3 in x 0.810 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.810 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.811 * [taylor]: Taking taylor expansion of y in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.815 * [taylor]: Taking taylor expansion of 1/3 in x 0.815 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.815 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.815 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of 1 in y 0.820 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.820 * [taylor]: Taking taylor expansion of -1/3 in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.825 * [taylor]: Taking taylor expansion of 2/9 in y 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.834 * [taylor]: Taking taylor expansion of -14/81 in y 0.834 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.839 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.839 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.839 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.839 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.839 * [taylor]: Taking taylor expansion of 1/3 in y 0.839 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.839 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.840 * [taylor]: Taking taylor expansion of x in y 0.841 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.841 * [taylor]: Taking taylor expansion of 1/3 in x 0.841 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.841 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.841 * [taylor]: Taking taylor expansion of y in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.845 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.845 * [taylor]: Taking taylor expansion of 1/3 in x 0.845 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.845 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.845 * [taylor]: Taking taylor expansion of y in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of 1 in y 0.850 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.850 * [taylor]: Taking taylor expansion of -1/3 in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.854 * [taylor]: Taking taylor expansion of 2/9 in y 0.854 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.855 * [taylor]: Taking taylor expansion of y in y 0.863 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.863 * [taylor]: Taking taylor expansion of -14/81 in y 0.863 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.874 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.875 * [approximate]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in (x y) around 0 0.875 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in y 0.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in y 0.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in y 0.875 * [taylor]: Taking taylor expansion of 1/3 in y 0.875 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in y 0.875 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in y 0.875 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.875 * [taylor]: Taking taylor expansion of x in y 0.875 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.875 * [taylor]: Taking taylor expansion of (+ x y) in y 0.875 * [taylor]: Taking taylor expansion of x in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in x 0.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in x 0.877 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in x 0.877 * [taylor]: Taking taylor expansion of 1/3 in x 0.877 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in x 0.877 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in x 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.877 * [taylor]: Taking taylor expansion of (+ x y) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.878 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in x 0.878 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in x 0.878 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in x 0.878 * [taylor]: Taking taylor expansion of 1/3 in x 0.878 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in x 0.879 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in x 0.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.879 * [taylor]: Taking taylor expansion of (+ x y) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.880 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.880 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.880 * [taylor]: Taking taylor expansion of 1/3 in y 0.880 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.880 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.880 * [taylor]: Taking taylor expansion of 2 in y 0.880 * [taylor]: Taking taylor expansion of (log x) in y 0.880 * [taylor]: Taking taylor expansion of x in y 0.880 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.880 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) y)) in y 0.883 * [taylor]: Taking taylor expansion of -2/3 in y 0.883 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) y) in y 0.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.883 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.883 * [taylor]: Taking taylor expansion of 1/3 in y 0.884 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.884 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.884 * [taylor]: Taking taylor expansion of 2 in y 0.884 * [taylor]: Taking taylor expansion of (log x) in y 0.884 * [taylor]: Taking taylor expansion of x in y 0.884 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.884 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.884 * [taylor]: Taking taylor expansion of y in y 0.885 * [taylor]: Taking taylor expansion of y in y 0.896 * [taylor]: Taking taylor expansion of (* 5/9 (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 2))) in y 0.896 * [taylor]: Taking taylor expansion of 5/9 in y 0.896 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 2)) in y 0.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.896 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.896 * [taylor]: Taking taylor expansion of 1/3 in y 0.896 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.896 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.896 * [taylor]: Taking taylor expansion of 2 in y 0.896 * [taylor]: Taking taylor expansion of (log x) in y 0.896 * [taylor]: Taking taylor expansion of x in y 0.896 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.927 * [taylor]: Taking taylor expansion of (* -40/81 (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 3))) in y 0.927 * [taylor]: Taking taylor expansion of -40/81 in y 0.927 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 3)) in y 0.927 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.927 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.927 * [taylor]: Taking taylor expansion of 1/3 in y 0.927 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.928 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.928 * [taylor]: Taking taylor expansion of 2 in y 0.928 * [taylor]: Taking taylor expansion of (log x) in y 0.928 * [taylor]: Taking taylor expansion of x in y 0.928 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.960 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in (x y) around 0 0.960 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in y 0.960 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in y 0.960 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 0.960 * [taylor]: Taking taylor expansion of 1/3 in y 0.960 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.960 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.960 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.960 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.960 * [taylor]: Taking taylor expansion of x in y 0.960 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.960 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.960 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.961 * [taylor]: Taking taylor expansion of x in y 0.962 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.962 * [taylor]: Taking taylor expansion of 1/3 in x 0.962 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.962 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.962 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.962 * [taylor]: Taking taylor expansion of y in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.966 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.966 * [taylor]: Taking taylor expansion of 1/3 in x 0.966 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.966 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.966 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.966 * [taylor]: Taking taylor expansion of y in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of 1 in y 0.971 * [taylor]: Taking taylor expansion of (/ -2/3 y) in y 0.971 * [taylor]: Taking taylor expansion of -2/3 in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.976 * [taylor]: Taking taylor expansion of (/ 5/9 (pow y 2)) in y 0.976 * [taylor]: Taking taylor expansion of 5/9 in y 0.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of (/ -40/81 (pow y 3)) in y 0.984 * [taylor]: Taking taylor expansion of -40/81 in y 0.984 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.990 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in (x y) around 0 0.990 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in y 0.990 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in y 0.990 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 0.990 * [taylor]: Taking taylor expansion of 1/3 in y 0.990 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.990 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.990 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.990 * [taylor]: Taking taylor expansion of x in y 0.990 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.990 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.990 * [taylor]: Taking taylor expansion of x in y 0.992 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.992 * [taylor]: Taking taylor expansion of 1/3 in x 0.992 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.992 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.992 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.996 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.996 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.996 * [taylor]: Taking taylor expansion of 1/3 in x 0.996 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.996 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.996 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.996 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 1.000 * [taylor]: Taking taylor expansion of 1 in y 1.000 * [taylor]: Taking taylor expansion of (/ -2/3 y) in y 1.000 * [taylor]: Taking taylor expansion of -2/3 in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.005 * [taylor]: Taking taylor expansion of (/ 5/9 (pow y 2)) in y 1.005 * [taylor]: Taking taylor expansion of 5/9 in y 1.005 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.005 * [taylor]: Taking taylor expansion of y in y 1.014 * [taylor]: Taking taylor expansion of (/ -40/81 (pow y 3)) in y 1.014 * [taylor]: Taking taylor expansion of -40/81 in y 1.014 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.019 * * * [progress]: simplifying candidates 1.022 * [simplify]: Simplifying using # : (expm1 (cbrt (/ x (+ y x)))) (log1p (cbrt (/ x (+ y x)))) (log (cbrt (/ x (+ y x)))) (exp (cbrt (/ x (+ y x)))) (cbrt (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))) (cbrt (cbrt (/ x (+ y x)))) (cbrt (sqrt (/ x (+ y x)))) (cbrt (sqrt (/ x (+ y x)))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (cbrt (/ (cbrt x) (cbrt (+ y x)))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x)))) (cbrt (/ (cbrt x) (sqrt (+ y x)))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) (+ y x))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) (+ y x))) (cbrt (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x))))) (cbrt (/ (sqrt x) (cbrt (+ y x)))) (cbrt (/ (sqrt x) (sqrt (+ y x)))) (cbrt (/ (sqrt x) (sqrt (+ y x)))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) (+ y x))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) (+ y x))) (cbrt (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (cbrt (/ x (cbrt (+ y x)))) (cbrt (/ 1 (sqrt (+ y x)))) (cbrt (/ x (sqrt (+ y x)))) (cbrt (/ 1 1)) (cbrt (/ x (+ y x))) (cbrt (/ 1 1)) (cbrt (/ x (+ y x))) (cbrt 1) (cbrt (/ x (+ y x))) (cbrt x) (cbrt (/ 1 (+ y x))) (cbrt (/ x (+ (pow y 3) (pow x 3)))) (cbrt (+ (* y y) (- (* x x) (* y x)))) (cbrt (/ x (- (* y y) (* x x)))) (cbrt (- y x)) (cbrt x) (cbrt (+ y x)) (* (cbrt (cbrt (/ x (+ y x)))) (cbrt (cbrt (/ x (+ y x))))) (cbrt (cbrt (/ x (+ y x)))) (* (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x)))) (sqrt (cbrt (/ x (+ y x)))) (sqrt (cbrt (/ x (+ y x)))) (expm1 (cbrt (/ x (+ y x)))) (log1p (cbrt (/ x (+ y x)))) (log (cbrt (/ x (+ y x)))) (exp (cbrt (/ x (+ y x)))) (cbrt (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))) (cbrt (cbrt (/ x (+ y x)))) (cbrt (sqrt (/ x (+ y x)))) (cbrt (sqrt (/ x (+ y x)))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (cbrt (/ (cbrt x) (cbrt (+ y x)))) (cbrt (/ (* (cbrt x) (cbrt 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(* (cbrt (/ (sqrt x) (+ y x))) (cbrt (/ x (+ y x)))) (* (cbrt (/ (sqrt x) (+ y x))) (cbrt (/ x (+ y x)))) (* (cbrt (/ x (cbrt (+ y x)))) (cbrt (/ x (+ y x)))) (* (cbrt (/ x (sqrt (+ y x)))) (cbrt (/ x (+ y x)))) (pow (sqrt (cbrt (/ x (+ y x)))) 4) (pow (sqrt (cbrt (/ x (+ y x)))) 4) (pow (sqrt (cbrt (/ x (+ y x)))) 4) (* (cbrt (/ 1 (+ y x))) (cbrt (/ x (+ y x)))) (* (cbrt (+ (* y y) (- (* x x) (* y x)))) (cbrt (/ x (+ y x)))) (* (cbrt (- y x)) (cbrt (/ x (+ y x)))) (pow (cbrt (cbrt (/ x (+ y x)))) 4) (pow (sqrt (cbrt (/ x (+ y x)))) 3) (pow (sqrt (cbrt (/ x (+ y x)))) 4) (* (cbrt (/ x (+ y x))) (cbrt x)) (* (cbrt (/ x (+ y x))) (cbrt x)) (exp (* 1/3 (- (log x) (log y)))) 1 1 (exp (* 1/3 (- (log x) (log y)))) 1 1 (exp (* 1/3 (- (log x) (log y)))) 1 1 (pow (exp 2/3) (- (log x) (log y))) 1 1 1.100 * * * [progress]: adding candidates to table 1.456 * [progress]: [Phase 3 of 3] Extracting. 1.456 * * [regime]: Finding splitpoints for: (# # #) 1.457 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 1.457 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # #) 1.467 * * * * [regimes]: Trying to branch on y from (# # #) 1.482 * * * * [regimes]: Trying to branch on x from (# # #) 1.493 * * * [regime]: Found split indices: #