12.241 * [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 0.016 * * * * [pick]: Picked # 0.016 * * * [progress]: localizing error 0.019 * * * [progress]: generating rewritten candidates 0.019 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.025 * * * [progress]: generating series expansions 0.025 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.025 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.025 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.025 * [taylor]: Taking taylor expansion of x in y 0.025 * [taylor]: Taking taylor expansion of (+ x y) in y 0.025 * [taylor]: Taking taylor expansion of x in y 0.025 * [taylor]: Taking taylor expansion of y in y 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ x y) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ x y) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.030 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.037 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.037 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.038 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 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 0.045 * [taylor]: Taking taylor expansion of 1 in y 0.046 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.053 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.054 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.054 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.056 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of 1 in y 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.067 * * * [progress]: simplifying candidates 0.068 * [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 0.071 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.074 * * [simplify]: iteration 1 : 391 enodes (cost 150 ) 0.080 * * [simplify]: iteration 2 : 1069 enodes (cost 150 ) 0.097 * * [simplify]: iteration 3 : 3853 enodes (cost 150 ) 0.144 * * [simplify]: iteration 4 : 5001 enodes (cost 150 ) 0.145 * [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 0.146 * * * [progress]: adding candidates to table 0.192 * * [progress]: iteration 2 / 4 0.192 * * * [progress]: picking best candidate 0.194 * * * * [pick]: Picked # 0.194 * * * [progress]: localizing error 0.198 * * * [progress]: generating rewritten candidates 0.198 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.208 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.216 * * * [progress]: generating series expansions 0.216 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.216 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.216 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of (+ x y) in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (+ x y) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (+ x y) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.221 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.228 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.228 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.228 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.228 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.230 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of 1 in y 0.234 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.241 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.241 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.241 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.242 * [taylor]: Taking taylor expansion of x in y 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 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.244 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of 1 in y 0.247 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.255 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.255 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 0.255 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.255 * [taylor]: Taking taylor expansion of (+ x y) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.255 * [taylor]: Taking taylor expansion of (+ x y) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.255 * [taylor]: Taking taylor expansion of (+ x y) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.262 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.269 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.269 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of 1 in x 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.279 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.279 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.279 * [taylor]: Taking taylor expansion of -1 in x 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.280 * [taylor]: Taking taylor expansion of -1 in y 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.281 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.281 * [taylor]: Taking taylor expansion of -1 in y 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.282 * [taylor]: Taking taylor expansion of -1 in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.290 * * * [progress]: simplifying candidates 0.291 * [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 0.295 * * [simplify]: iteration 0 : 231 enodes (cost 360 ) 0.300 * * [simplify]: iteration 1 : 1013 enodes (cost 310 ) 0.315 * * [simplify]: iteration 2 : 3518 enodes (cost 272 ) 0.344 * * [simplify]: iteration 3 : 5002 enodes (cost 272 ) 0.347 * [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 0.347 * * * [progress]: adding candidates to table 0.425 * * [progress]: iteration 3 / 4 0.425 * * * [progress]: picking best candidate 0.426 * * * * [pick]: Picked # 0.426 * * * [progress]: localizing error 0.433 * * * [progress]: generating rewritten candidates 0.433 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.438 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.442 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.447 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.478 * * * [progress]: generating series expansions 0.478 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.478 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 0.478 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 0.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 0.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 0.478 * [taylor]: Taking taylor expansion of 1/3 in y 0.478 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.478 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of (+ x y) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.480 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.480 * [taylor]: Taking taylor expansion of 1/3 in x 0.480 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.480 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (+ x y) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.481 * [taylor]: Taking taylor expansion of 1/3 in x 0.481 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.481 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (+ x y) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.482 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.482 * [taylor]: Taking taylor expansion of 1/3 in y 0.482 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.482 * [taylor]: Taking taylor expansion of (log x) in y 0.482 * [taylor]: Taking taylor expansion of x in y 0.482 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y)) in y 0.484 * [taylor]: Taking taylor expansion of -1/3 in y 0.484 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 0.484 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.484 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.484 * [taylor]: Taking taylor expansion of 1/3 in y 0.484 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.484 * [taylor]: Taking taylor expansion of (log x) in y 0.484 * [taylor]: Taking taylor expansion of x in y 0.484 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.493 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 0.493 * [taylor]: Taking taylor expansion of 2/9 in y 0.493 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) in y 0.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.493 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.493 * [taylor]: Taking taylor expansion of 1/3 in y 0.493 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.493 * [taylor]: Taking taylor expansion of (log x) in y 0.493 * [taylor]: Taking taylor expansion of x in y 0.494 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 0.519 * [taylor]: Taking taylor expansion of -14/81 in y 0.519 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 0.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.519 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.519 * [taylor]: Taking taylor expansion of 1/3 in y 0.519 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.519 * [taylor]: Taking taylor expansion of (log x) in y 0.519 * [taylor]: Taking taylor expansion of x in y 0.519 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.545 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.545 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.545 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.545 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.545 * [taylor]: Taking taylor expansion of 1/3 in y 0.545 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.545 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.546 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.546 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.546 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.546 * [taylor]: Taking taylor expansion of 1/3 in x 0.546 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.546 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.550 * [taylor]: Taking taylor expansion of 1/3 in x 0.550 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.550 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of 1 in y 0.555 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.555 * [taylor]: Taking taylor expansion of -1/3 in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.559 * [taylor]: Taking taylor expansion of 2/9 in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.567 * [taylor]: Taking taylor expansion of -14/81 in y 0.567 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.572 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.572 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.572 * [taylor]: Taking taylor expansion of 1/3 in y 0.572 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.572 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.572 * [taylor]: Taking taylor expansion of x in y 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.573 * [taylor]: Taking taylor expansion of x in y 0.573 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.573 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.573 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.573 * [taylor]: Taking taylor expansion of 1/3 in x 0.573 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.573 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.578 * [taylor]: Taking taylor expansion of 1/3 in x 0.578 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.578 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of 1 in y 0.582 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.582 * [taylor]: Taking taylor expansion of -1/3 in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.586 * [taylor]: Taking taylor expansion of 2/9 in y 0.586 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.594 * [taylor]: Taking taylor expansion of -14/81 in y 0.594 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.599 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.599 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 0.599 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 0.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 0.599 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 0.599 * [taylor]: Taking taylor expansion of 1/3 in y 0.599 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.599 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (+ x y) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.601 * [taylor]: Taking taylor expansion of 1/3 in x 0.601 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.601 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (+ x y) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.602 * [taylor]: Taking taylor expansion of 1/3 in x 0.602 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.602 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (+ x y) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.602 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.602 * [taylor]: Taking taylor expansion of 1/3 in y 0.602 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.602 * [taylor]: Taking taylor expansion of (log x) in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.605 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y)) in y 0.605 * [taylor]: Taking taylor expansion of -1/3 in y 0.605 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 0.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.605 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.605 * [taylor]: Taking taylor expansion of 1/3 in y 0.605 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.605 * [taylor]: Taking taylor expansion of (log x) in y 0.605 * [taylor]: Taking taylor expansion of x in y 0.605 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.605 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 0.617 * [taylor]: Taking taylor expansion of 2/9 in y 0.617 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) in y 0.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.617 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.617 * [taylor]: Taking taylor expansion of 1/3 in y 0.617 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.617 * [taylor]: Taking taylor expansion of (log x) in y 0.617 * [taylor]: Taking taylor expansion of x in y 0.617 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.640 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 0.640 * [taylor]: Taking taylor expansion of -14/81 in y 0.640 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 0.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.640 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.640 * [taylor]: Taking taylor expansion of 1/3 in y 0.640 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.640 * [taylor]: Taking taylor expansion of (log x) in y 0.640 * [taylor]: Taking taylor expansion of x in y 0.640 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.662 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.662 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.662 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.662 * [taylor]: Taking taylor expansion of 1/3 in y 0.662 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.662 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.662 * [taylor]: Taking taylor expansion of x in y 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.662 * [taylor]: Taking taylor expansion of x in y 0.663 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.663 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.663 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.663 * [taylor]: Taking taylor expansion of 1/3 in x 0.663 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.663 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.663 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.663 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.663 * [taylor]: Taking taylor expansion of y in x 0.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.667 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.667 * [taylor]: Taking taylor expansion of 1/3 in x 0.667 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.667 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.667 * [taylor]: Taking taylor expansion of y in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of 1 in y 0.672 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.672 * [taylor]: Taking taylor expansion of -1/3 in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.676 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.676 * [taylor]: Taking taylor expansion of 2/9 in y 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.676 * [taylor]: Taking taylor expansion of y in y 0.684 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.684 * [taylor]: Taking taylor expansion of -14/81 in y 0.684 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.689 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.689 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.689 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.689 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.689 * [taylor]: Taking taylor expansion of 1/3 in y 0.689 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.689 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.690 * [taylor]: Taking taylor expansion of x in y 0.690 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.690 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.690 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.690 * [taylor]: Taking taylor expansion of 1/3 in x 0.690 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.690 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.698 * [taylor]: Taking taylor expansion of 1/3 in x 0.698 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.698 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.698 * [taylor]: Taking taylor expansion of y in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of 1 in y 0.702 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.702 * [taylor]: Taking taylor expansion of -1/3 in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.707 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.707 * [taylor]: Taking taylor expansion of 2/9 in y 0.707 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.715 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.715 * [taylor]: Taking taylor expansion of -14/81 in y 0.715 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.720 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.720 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 0.720 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 0.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 0.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 0.720 * [taylor]: Taking taylor expansion of 1/3 in y 0.720 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.720 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.720 * [taylor]: Taking taylor expansion of (+ x y) in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.722 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.722 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.722 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.722 * [taylor]: Taking taylor expansion of 1/3 in x 0.722 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.722 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (+ x y) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.722 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.722 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.722 * [taylor]: Taking taylor expansion of 1/3 in x 0.722 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.722 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (+ x y) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.723 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.723 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.723 * [taylor]: Taking taylor expansion of 1/3 in y 0.723 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.723 * [taylor]: Taking taylor expansion of (log x) in y 0.723 * [taylor]: Taking taylor expansion of x in y 0.723 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.723 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y)) in y 0.725 * [taylor]: Taking taylor expansion of -1/3 in y 0.725 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 0.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.725 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.725 * [taylor]: Taking taylor expansion of 1/3 in y 0.725 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.725 * [taylor]: Taking taylor expansion of (log x) in y 0.725 * [taylor]: Taking taylor expansion of x in y 0.725 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 0.735 * [taylor]: Taking taylor expansion of 2/9 in y 0.735 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) in y 0.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.735 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.735 * [taylor]: Taking taylor expansion of 1/3 in y 0.735 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.735 * [taylor]: Taking taylor expansion of (log x) in y 0.735 * [taylor]: Taking taylor expansion of x in y 0.735 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.759 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 0.759 * [taylor]: Taking taylor expansion of -14/81 in y 0.759 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 0.759 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.759 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.759 * [taylor]: Taking taylor expansion of 1/3 in y 0.759 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.759 * [taylor]: Taking taylor expansion of (log x) in y 0.759 * [taylor]: Taking taylor expansion of x in y 0.759 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.759 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.784 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.784 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.784 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.784 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.784 * [taylor]: Taking taylor expansion of 1/3 in y 0.784 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.784 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.784 * [taylor]: Taking taylor expansion of x in y 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.784 * [taylor]: Taking taylor expansion of x in y 0.785 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.785 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.785 * [taylor]: Taking taylor expansion of 1/3 in x 0.785 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.785 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.785 * [taylor]: Taking taylor expansion of x 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 0.789 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.789 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.789 * [taylor]: Taking taylor expansion of 1/3 in x 0.789 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.789 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.790 * [taylor]: Taking taylor expansion of y in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of 1 in y 0.794 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.794 * [taylor]: Taking taylor expansion of -1/3 in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.798 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.798 * [taylor]: Taking taylor expansion of 2/9 in y 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.806 * [taylor]: Taking taylor expansion of -14/81 in y 0.806 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.812 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.812 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.812 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.812 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.812 * [taylor]: Taking taylor expansion of 1/3 in y 0.812 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.812 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.812 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.812 * [taylor]: Taking taylor expansion of x in y 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.812 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.812 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.812 * [taylor]: Taking taylor expansion of x in y 0.813 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.813 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.813 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.813 * [taylor]: Taking taylor expansion of 1/3 in x 0.813 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.813 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.813 * [taylor]: Taking taylor expansion of y in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.817 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.817 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.817 * [taylor]: Taking taylor expansion of 1/3 in x 0.817 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.817 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.817 * [taylor]: Taking taylor expansion of y in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of 1 in y 0.822 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.822 * [taylor]: Taking taylor expansion of -1/3 in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.826 * [taylor]: Taking taylor expansion of 2/9 in y 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.826 * [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 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.839 * [approximate]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in (x y) around 0 0.839 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in y 0.839 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in y 0.839 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in y 0.839 * [taylor]: Taking taylor expansion of 1/3 in y 0.839 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in y 0.839 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in y 0.839 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.839 * [taylor]: Taking taylor expansion of (+ x y) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in x 0.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in x 0.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in x 0.841 * [taylor]: Taking taylor expansion of 1/3 in x 0.841 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in x 0.841 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in x 0.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.841 * [taylor]: Taking taylor expansion of (+ x y) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of y in x 0.843 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in x 0.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in x 0.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in x 0.843 * [taylor]: Taking taylor expansion of 1/3 in x 0.843 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in x 0.843 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in x 0.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.843 * [taylor]: Taking taylor expansion of (+ x y) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of y in x 0.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.844 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.844 * [taylor]: Taking taylor expansion of 1/3 in y 0.844 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.844 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.844 * [taylor]: Taking taylor expansion of 2 in y 0.844 * [taylor]: Taking taylor expansion of (log x) in y 0.844 * [taylor]: Taking taylor expansion of x in y 0.844 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.844 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.844 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.844 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) y)) in y 0.847 * [taylor]: Taking taylor expansion of -2/3 in y 0.847 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) y) in y 0.847 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.847 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.847 * [taylor]: Taking taylor expansion of 1/3 in y 0.847 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.847 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.847 * [taylor]: Taking taylor expansion of 2 in y 0.847 * [taylor]: Taking taylor expansion of (log x) in y 0.847 * [taylor]: Taking taylor expansion of x in y 0.847 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of (* 5/9 (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 2))) in y 0.860 * [taylor]: Taking taylor expansion of 5/9 in y 0.860 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 2)) in y 0.860 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.860 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.860 * [taylor]: Taking taylor expansion of 1/3 in y 0.860 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.860 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.860 * [taylor]: Taking taylor expansion of 2 in y 0.860 * [taylor]: Taking taylor expansion of (log x) in y 0.860 * [taylor]: Taking taylor expansion of x in y 0.860 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.860 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of (* -40/81 (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 3))) in y 0.893 * [taylor]: Taking taylor expansion of -40/81 in y 0.893 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 3)) in y 0.893 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.893 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.893 * [taylor]: Taking taylor expansion of 1/3 in y 0.893 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.893 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.893 * [taylor]: Taking taylor expansion of 2 in y 0.893 * [taylor]: Taking taylor expansion of (log x) in y 0.893 * [taylor]: Taking taylor expansion of x in y 0.893 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.893 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.918 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in (x y) around 0 0.919 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in y 0.919 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in y 0.919 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 0.919 * [taylor]: Taking taylor expansion of 1/3 in y 0.919 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.919 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.919 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.919 * [taylor]: Taking taylor expansion of x in y 0.919 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.919 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.919 * [taylor]: Taking taylor expansion of x in y 0.920 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.920 * [taylor]: Taking taylor expansion of 1/3 in x 0.920 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.921 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.921 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.921 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.921 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.921 * [taylor]: Taking taylor expansion of y in x 0.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.925 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.925 * [taylor]: Taking taylor expansion of 1/3 in x 0.925 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.925 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of 1 in y 0.929 * [taylor]: Taking taylor expansion of (/ -2/3 y) in y 0.929 * [taylor]: Taking taylor expansion of -2/3 in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.934 * [taylor]: Taking taylor expansion of (/ 5/9 (pow y 2)) in y 0.934 * [taylor]: Taking taylor expansion of 5/9 in y 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.942 * [taylor]: Taking taylor expansion of (/ -40/81 (pow y 3)) in y 0.942 * [taylor]: Taking taylor expansion of -40/81 in y 0.942 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.942 * [taylor]: Taking taylor expansion of y in y 0.951 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in (x y) around 0 0.951 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in y 0.951 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in y 0.951 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 0.951 * [taylor]: Taking taylor expansion of 1/3 in y 0.951 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.951 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.951 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.951 * [taylor]: Taking taylor expansion of x in y 0.951 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.951 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.951 * [taylor]: Taking taylor expansion of x in y 0.952 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.952 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.953 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.953 * [taylor]: Taking taylor expansion of 1/3 in x 0.953 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.953 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.953 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.953 * [taylor]: Taking taylor expansion of y in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.957 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.957 * [taylor]: Taking taylor expansion of 1/3 in x 0.957 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.957 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.957 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.957 * [taylor]: Taking taylor expansion of y in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of 1 in y 0.961 * [taylor]: Taking taylor expansion of (/ -2/3 y) in y 0.961 * [taylor]: Taking taylor expansion of -2/3 in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.966 * [taylor]: Taking taylor expansion of (/ 5/9 (pow y 2)) in y 0.966 * [taylor]: Taking taylor expansion of 5/9 in y 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.975 * [taylor]: Taking taylor expansion of (/ -40/81 (pow y 3)) in y 0.975 * [taylor]: Taking taylor expansion of -40/81 in y 0.975 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.975 * [taylor]: Taking taylor expansion of y in y 0.980 * * * [progress]: simplifying candidates 0.983 * [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 1.056 * * * [progress]: adding candidates to table 1.410 * [progress]: [Phase 3 of 3] Extracting. 1.410 * * [regime]: Finding splitpoints for: (# # #) 1.411 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 1.411 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # #) 1.422 * * * * [regimes]: Trying to branch on y from (# # #) 1.434 * * * * [regimes]: Trying to branch on x from (# # #) 1.451 * * * [regime]: Found split indices: #