15.209 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.015 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.016 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.016 * [simplify]: Simplified to: (/ x (+ x y)) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.030 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.030 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.030 * [taylor]: Taking taylor expansion of x in y 0.030 * [taylor]: Taking taylor expansion of (+ x y) in y 0.030 * [taylor]: Taking taylor expansion of x in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (+ x y) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (+ x y) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.042 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.042 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.043 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.045 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of 1 in y 0.048 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.055 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.055 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.056 * [taylor]: Taking taylor expansion of x in y 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 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.058 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of 1 in y 0.061 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.069 * * * [progress]: simplifying candidates 0.070 * [simplify]: Simplifying using # : (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.073 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.076 * * [simplify]: iteration 1 : 393 enodes (cost 150 ) 0.081 * * [simplify]: iteration 2 : 1065 enodes (cost 150 ) 0.098 * * [simplify]: iteration 3 : 3830 enodes (cost 150 ) 0.146 * * [simplify]: iteration 4 : 5002 enodes (cost 150 ) 0.147 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.147 * * * [progress]: adding candidates to table 0.193 * * [progress]: iteration 2 / 4 0.193 * * * [progress]: picking best candidate 0.195 * * * * [pick]: Picked # 0.195 * * * [progress]: localizing error 0.200 * * * [progress]: generating rewritten candidates 0.200 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.210 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.217 * * * [progress]: generating series expansions 0.217 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.217 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of (+ x y) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (+ x y) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (+ x y) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.222 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.229 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.229 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.229 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.229 * [taylor]: Taking taylor expansion of x in y 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.229 * [taylor]: Taking taylor expansion of x in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.229 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [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 0.231 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.231 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.233 * [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 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.244 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.244 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.244 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.244 * [taylor]: Taking taylor expansion of x in y 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.245 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.247 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of 1 in y 0.250 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.257 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.257 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 0.257 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.257 * [taylor]: Taking taylor expansion of (+ x y) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.258 * [taylor]: Taking taylor expansion of (+ x y) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.258 * [taylor]: Taking taylor expansion of (+ x y) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.262 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.269 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.269 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.269 * [taylor]: Taking taylor expansion of x in y 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 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of 1 in y 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.278 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.278 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.278 * [taylor]: Taking taylor expansion of -1 in y 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.278 * [taylor]: Taking taylor expansion of x in y 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 x 0.280 * [taylor]: Taking taylor expansion of -1 in x 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of -1 in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.288 * * * [progress]: simplifying candidates 0.289 * [simplify]: Simplifying using # : (expm1 (* x (/ 1 (+ x y)))) (log1p (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y))) (+ (log x) (- (log (+ x y)))) (+ (log x) (- 0 (log (+ x y)))) (+ (log x) (- (log 1) (log (+ x y)))) (+ (log x) (log (/ 1 (+ x y)))) (log (* x (/ 1 (+ x y)))) (exp (* x (/ 1 (+ x y)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* (* x x) x) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y)))) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (* (* (* x (/ 1 (+ x y))) (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (sqrt 1) (sqrt (+ x y)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ 1 (sqrt (+ x y)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow x 3) (pow y 3)))) (* x (/ 1 (- (* x x) (* y y)))) (* (cbrt x) (/ 1 (+ x y))) (* (sqrt x) (/ 1 (+ x y))) (* x (/ 1 (+ x y))) (* x 1) (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x y))) (- 1) (- (log (+ x y))) (- 0 (log (+ x y))) (- (log 1) (log (+ x y))) (log (/ 1 (+ x y))) (exp (/ 1 (+ x y))) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (- 1) (- (+ x y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt 1) (cbrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y))) (/ (cbrt 1) (sqrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt 1) (cbrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 (+ x y)) (/ 1 1) (/ 1 (+ x y)) (/ 1 (+ x y)) (/ (+ x y) 1) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 1) (/ (+ x y) (cbrt 1)) (/ (+ x y) (sqrt 1)) (/ (+ x y) 1) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 0.293 * * [simplify]: iteration 0 : 231 enodes (cost 360 ) 0.299 * * [simplify]: iteration 1 : 1017 enodes (cost 310 ) 0.314 * * [simplify]: iteration 2 : 3519 enodes (cost 272 ) 0.343 * * [simplify]: iteration 3 : 5001 enodes (cost 272 ) 0.346 * [simplify]: Simplified to: (expm1 (* x (/ 1 (+ x y)))) (log1p (* x (/ 1 (+ x y)))) (/ x (+ x y)) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (exp (* x (/ 1 (+ x y)))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (pow (/ x (+ x y)) 3) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x x x (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (/ (cbrt x) (+ x y)) (/ (sqrt x) (+ x y)) (/ x (+ x y)) x (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x y))) (- 1) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (exp (/ 1 (+ x y))) (/ 1 (pow (+ x y) 3)) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (/ 1 (pow (+ x y) 3)) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (- 1) (- (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (+ x y)) (+ x y) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) 1 1 (+ x y) (+ x y) (+ x y) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 0.346 * * * [progress]: adding candidates to table 0.424 * * [progress]: iteration 3 / 4 0.424 * * * [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) 0.437 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.442 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.446 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.473 * * * [progress]: generating series expansions 0.473 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.474 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 0.474 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 0.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 0.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 0.474 * [taylor]: Taking taylor expansion of 1/3 in y 0.474 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.474 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.474 * [taylor]: Taking taylor expansion of x in y 0.474 * [taylor]: Taking taylor expansion of (+ x y) in y 0.474 * [taylor]: Taking taylor expansion of x in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.476 * [taylor]: Taking taylor expansion of 1/3 in x 0.476 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.476 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (+ x y) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.476 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.476 * [taylor]: Taking taylor expansion of 1/3 in x 0.476 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.476 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (+ x y) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.477 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.477 * [taylor]: Taking taylor expansion of 1/3 in y 0.477 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.477 * [taylor]: Taking taylor expansion of (log x) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y)) in y 0.479 * [taylor]: Taking taylor expansion of -1/3 in y 0.479 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 0.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.479 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.479 * [taylor]: Taking taylor expansion of 1/3 in y 0.479 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.479 * [taylor]: Taking taylor expansion of (log x) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 0.488 * [taylor]: Taking taylor expansion of 2/9 in y 0.488 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) in y 0.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.488 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.488 * [taylor]: Taking taylor expansion of 1/3 in y 0.488 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.488 * [taylor]: Taking taylor expansion of (log x) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 0.516 * [taylor]: Taking taylor expansion of -14/81 in y 0.516 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 0.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.516 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.516 * [taylor]: Taking taylor expansion of 1/3 in y 0.516 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.516 * [taylor]: Taking taylor expansion of (log x) in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.516 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.517 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.539 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.539 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.539 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.539 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.539 * [taylor]: Taking taylor expansion of 1/3 in y 0.539 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.539 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.539 * [taylor]: Taking taylor expansion of x in y 0.539 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.541 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.541 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.541 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.541 * [taylor]: Taking taylor expansion of 1/3 in x 0.541 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.541 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.548 * [taylor]: Taking taylor expansion of 1/3 in x 0.548 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.548 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.548 * [taylor]: Taking taylor expansion of y in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of 1 in y 0.553 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.554 * [taylor]: Taking taylor expansion of -1/3 in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.558 * [taylor]: Taking taylor expansion of 2/9 in y 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.566 * [taylor]: Taking taylor expansion of -14/81 in y 0.566 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.571 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.571 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.571 * [taylor]: Taking taylor expansion of 1/3 in y 0.571 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.571 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.572 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.572 * [taylor]: Taking taylor expansion of 1/3 in x 0.572 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.572 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.576 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.576 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.576 * [taylor]: Taking taylor expansion of 1/3 in x 0.576 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.576 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.576 * [taylor]: Taking taylor expansion of y in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of 1 in y 0.581 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.581 * [taylor]: Taking taylor expansion of -1/3 in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.585 * [taylor]: Taking taylor expansion of 2/9 in y 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.595 * [taylor]: Taking taylor expansion of -14/81 in y 0.595 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.600 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.600 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 0.600 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 0.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 0.600 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 0.600 * [taylor]: Taking taylor expansion of 1/3 in y 0.600 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.600 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.600 * [taylor]: Taking taylor expansion of x in y 0.600 * [taylor]: Taking taylor expansion of (+ x y) in y 0.600 * [taylor]: Taking taylor expansion of x in y 0.600 * [taylor]: Taking taylor expansion of y in y 0.602 * [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 (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 0.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.603 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.603 * [taylor]: Taking taylor expansion of 1/3 in y 0.603 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.603 * [taylor]: Taking taylor expansion of (log x) in y 0.603 * [taylor]: Taking taylor expansion of x in y 0.603 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.603 * [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 0.606 * [taylor]: Taking taylor expansion of -1/3 in y 0.606 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 0.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.606 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.606 * [taylor]: Taking taylor expansion of 1/3 in y 0.606 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.606 * [taylor]: Taking taylor expansion of (log x) in y 0.606 * [taylor]: Taking taylor expansion of x in y 0.606 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 0.614 * [taylor]: Taking taylor expansion of 2/9 in y 0.614 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) in y 0.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.614 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.614 * [taylor]: Taking taylor expansion of 1/3 in y 0.614 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.614 * [taylor]: Taking taylor expansion of (log x) in y 0.614 * [taylor]: Taking taylor expansion of x in y 0.614 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.615 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 0.638 * [taylor]: Taking taylor expansion of -14/81 in y 0.638 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 0.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.638 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.638 * [taylor]: Taking taylor expansion of 1/3 in y 0.638 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.638 * [taylor]: Taking taylor expansion of (log x) in y 0.638 * [taylor]: Taking taylor expansion of x in y 0.638 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.638 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.659 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.659 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.659 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.659 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.659 * [taylor]: Taking taylor expansion of 1/3 in y 0.659 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.659 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.659 * [taylor]: Taking taylor expansion of x in y 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.659 * [taylor]: Taking taylor expansion of x in y 0.660 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.660 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.660 * [taylor]: Taking taylor expansion of 1/3 in x 0.660 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.660 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.660 * [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 0.664 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.664 * [taylor]: Taking taylor expansion of 1/3 in x 0.664 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.664 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.664 * [taylor]: Taking taylor expansion of y in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of 1 in y 0.671 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.671 * [taylor]: Taking taylor expansion of -1/3 in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.675 * [taylor]: Taking taylor expansion of 2/9 in y 0.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.683 * [taylor]: Taking taylor expansion of -14/81 in y 0.683 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.688 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.688 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.688 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.688 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.688 * [taylor]: Taking taylor expansion of 1/3 in y 0.688 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.688 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.688 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.688 * [taylor]: Taking taylor expansion of x in y 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.688 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.688 * [taylor]: Taking taylor expansion of x in y 0.689 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.689 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.689 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.689 * [taylor]: Taking taylor expansion of 1/3 in x 0.689 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.689 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.694 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.694 * [taylor]: Taking taylor expansion of 1/3 in x 0.694 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.694 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of 1 in y 0.698 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.698 * [taylor]: Taking taylor expansion of -1/3 in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.702 * [taylor]: Taking taylor expansion of 2/9 in y 0.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.710 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.710 * [taylor]: Taking taylor expansion of -14/81 in y 0.710 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.715 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.715 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 0.715 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 0.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 0.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 0.715 * [taylor]: Taking taylor expansion of 1/3 in y 0.715 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.715 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.715 * [taylor]: Taking taylor expansion of x in y 0.715 * [taylor]: Taking taylor expansion of (+ x y) in y 0.715 * [taylor]: Taking taylor expansion of x in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.717 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.717 * [taylor]: Taking taylor expansion of 1/3 in x 0.717 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.717 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (+ x y) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of y in x 0.717 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.717 * [taylor]: Taking taylor expansion of 1/3 in x 0.717 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.717 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (+ x y) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of y in x 0.718 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.718 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.718 * [taylor]: Taking taylor expansion of 1/3 in y 0.718 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.718 * [taylor]: Taking taylor expansion of (log x) in y 0.718 * [taylor]: Taking taylor expansion of x in y 0.718 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.718 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y)) in y 0.720 * [taylor]: Taking taylor expansion of -1/3 in y 0.720 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 0.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.720 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.720 * [taylor]: Taking taylor expansion of 1/3 in y 0.720 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.720 * [taylor]: Taking taylor expansion of (log x) in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.720 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.720 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 0.729 * [taylor]: Taking taylor expansion of 2/9 in y 0.729 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) in y 0.729 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.729 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.729 * [taylor]: Taking taylor expansion of 1/3 in y 0.729 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.729 * [taylor]: Taking taylor expansion of (log x) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 0.755 * [taylor]: Taking taylor expansion of -14/81 in y 0.755 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 0.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.755 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.755 * [taylor]: Taking taylor expansion of 1/3 in y 0.755 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.755 * [taylor]: Taking taylor expansion of (log x) in y 0.755 * [taylor]: Taking taylor expansion of x in y 0.755 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.776 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.776 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.776 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.776 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.776 * [taylor]: Taking taylor expansion of 1/3 in y 0.776 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.776 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.776 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.776 * [taylor]: Taking taylor expansion of x in y 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.776 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.776 * [taylor]: Taking taylor expansion of y in y 0.777 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.777 * [taylor]: Taking taylor expansion of x in y 0.777 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.777 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.777 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.777 * [taylor]: Taking taylor expansion of 1/3 in x 0.777 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.777 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.782 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.782 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.782 * [taylor]: Taking taylor expansion of 1/3 in x 0.782 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.782 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.782 * [taylor]: Taking taylor expansion of y in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of 1 in y 0.786 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.786 * [taylor]: Taking taylor expansion of -1/3 in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.790 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.790 * [taylor]: Taking taylor expansion of 2/9 in y 0.790 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.790 * [taylor]: Taking taylor expansion of y in y 0.798 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.798 * [taylor]: Taking taylor expansion of -14/81 in y 0.798 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.803 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.803 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.803 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.803 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.803 * [taylor]: Taking taylor expansion of 1/3 in y 0.803 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.803 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.803 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.803 * [taylor]: Taking taylor expansion of x in y 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.803 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.803 * [taylor]: Taking taylor expansion of y in y 0.804 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.804 * [taylor]: Taking taylor expansion of x in y 0.804 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.804 * [taylor]: Taking taylor expansion of 1/3 in x 0.804 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.804 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.805 * [taylor]: Taking taylor expansion of y in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.809 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.809 * [taylor]: Taking taylor expansion of 1/3 in x 0.809 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.809 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of 1 in y 0.813 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.813 * [taylor]: Taking taylor expansion of -1/3 in y 0.813 * [taylor]: Taking taylor expansion of y in y 0.817 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.817 * [taylor]: Taking taylor expansion of 2/9 in y 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.825 * [taylor]: Taking taylor expansion of -14/81 in y 0.825 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.833 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.833 * [approximate]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in (x y) around 0 0.833 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in y 0.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in y 0.833 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in y 0.833 * [taylor]: Taking taylor expansion of 1/3 in y 0.833 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in y 0.833 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in y 0.833 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.833 * [taylor]: Taking taylor expansion of x in y 0.833 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.833 * [taylor]: Taking taylor expansion of (+ x y) in y 0.833 * [taylor]: Taking taylor expansion of x in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.835 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in x 0.835 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in x 0.835 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in x 0.835 * [taylor]: Taking taylor expansion of 1/3 in x 0.835 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in x 0.835 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in x 0.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.835 * [taylor]: Taking taylor expansion of (+ x y) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of y in x 0.836 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in x 0.837 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in x 0.837 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in x 0.837 * [taylor]: Taking taylor expansion of 1/3 in x 0.837 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in x 0.837 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in x 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.837 * [taylor]: Taking taylor expansion of (+ x y) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.838 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.838 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.838 * [taylor]: Taking taylor expansion of 1/3 in y 0.838 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.838 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.838 * [taylor]: Taking taylor expansion of 2 in y 0.838 * [taylor]: Taking taylor expansion of (log x) in y 0.838 * [taylor]: Taking taylor expansion of x in y 0.838 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.838 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) y)) in y 0.841 * [taylor]: Taking taylor expansion of -2/3 in y 0.841 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) y) in y 0.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.841 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.841 * [taylor]: Taking taylor expansion of 1/3 in y 0.841 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.841 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.841 * [taylor]: Taking taylor expansion of 2 in y 0.841 * [taylor]: Taking taylor expansion of (log x) in y 0.841 * [taylor]: Taking taylor expansion of x in y 0.841 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of (* 5/9 (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 2))) in y 0.853 * [taylor]: Taking taylor expansion of 5/9 in y 0.853 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 2)) in y 0.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.853 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.853 * [taylor]: Taking taylor expansion of 1/3 in y 0.853 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.853 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.853 * [taylor]: Taking taylor expansion of 2 in y 0.853 * [taylor]: Taking taylor expansion of (log x) in y 0.853 * [taylor]: Taking taylor expansion of x in y 0.853 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.855 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.855 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of (* -40/81 (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 3))) in y 0.883 * [taylor]: Taking taylor expansion of -40/81 in y 0.883 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 3)) 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 0.883 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.883 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.883 * [taylor]: Taking taylor expansion of 2 in y 0.883 * [taylor]: Taking taylor expansion of (log x) in y 0.883 * [taylor]: Taking taylor expansion of x in y 0.883 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.883 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.883 * [taylor]: Taking taylor expansion of y in y 0.884 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.884 * [taylor]: Taking taylor expansion of y in y 0.908 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in (x y) around 0 0.908 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in y 0.908 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in y 0.908 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 0.908 * [taylor]: Taking taylor expansion of 1/3 in y 0.908 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.908 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.908 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.908 * [taylor]: Taking taylor expansion of x in y 0.908 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.908 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.911 * [taylor]: Taking taylor expansion of x in y 0.912 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.912 * [taylor]: Taking taylor expansion of 1/3 in x 0.913 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.913 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.913 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.913 * [taylor]: Taking taylor expansion of y in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.916 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.916 * [taylor]: Taking taylor expansion of 1/3 in x 0.916 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.917 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.917 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.917 * [taylor]: Taking taylor expansion of y in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of 1 in y 0.921 * [taylor]: Taking taylor expansion of (/ -2/3 y) in y 0.921 * [taylor]: Taking taylor expansion of -2/3 in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of (/ 5/9 (pow y 2)) in y 0.925 * [taylor]: Taking taylor expansion of 5/9 in y 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of (/ -40/81 (pow y 3)) in y 0.934 * [taylor]: Taking taylor expansion of -40/81 in y 0.934 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.939 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in (x y) around 0 0.939 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in y 0.939 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in y 0.939 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 0.939 * [taylor]: Taking taylor expansion of 1/3 in y 0.939 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.939 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.939 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.939 * [taylor]: Taking taylor expansion of x in y 0.939 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.939 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.939 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.939 * [taylor]: Taking taylor expansion of x in y 0.940 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.941 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.941 * [taylor]: Taking taylor expansion of 1/3 in x 0.941 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.941 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.941 * [taylor]: Taking taylor expansion of y in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.944 * [taylor]: Taking taylor expansion of 1/3 in x 0.945 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.945 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.945 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.945 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.945 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of 1 in y 0.949 * [taylor]: Taking taylor expansion of (/ -2/3 y) in y 0.949 * [taylor]: Taking taylor expansion of -2/3 in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.953 * [taylor]: Taking taylor expansion of (/ 5/9 (pow y 2)) in y 0.953 * [taylor]: Taking taylor expansion of 5/9 in y 0.953 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.953 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of (/ -40/81 (pow y 3)) in y 0.962 * [taylor]: Taking taylor expansion of -40/81 in y 0.962 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.967 * * * [progress]: simplifying candidates 0.969 * [simplify]: Simplifying using # : (expm1 (cbrt (/ x (+ x y)))) (log1p (cbrt (/ x (+ x y)))) (log (cbrt (/ x (+ x y)))) (exp (cbrt (/ x (+ x y)))) (cbrt (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))) (cbrt (cbrt (/ x (+ x y)))) (cbrt (sqrt (/ x (+ x y)))) (cbrt (sqrt (/ x (+ x y)))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ (cbrt x) (cbrt (+ x y)))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y)))) (cbrt (/ (cbrt x) (sqrt (+ x y)))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) (+ x y))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) (+ x y))) (cbrt (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ (sqrt x) (cbrt (+ x y)))) (cbrt (/ (sqrt x) (sqrt (+ x y)))) (cbrt (/ (sqrt x) (sqrt (+ x y)))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) (+ x y))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) (+ x y))) (cbrt (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ x (cbrt (+ x y)))) (cbrt (/ 1 (sqrt (+ x y)))) (cbrt (/ x (sqrt (+ x y)))) (cbrt (/ 1 1)) (cbrt (/ x (+ x y))) (cbrt (/ 1 1)) (cbrt (/ x (+ x y))) (cbrt 1) (cbrt (/ x (+ x y))) (cbrt x) (cbrt (/ 1 (+ x y))) (cbrt (/ x (+ (pow x 3) (pow y 3)))) (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (/ x (- (* x x) (* y y)))) (cbrt (- x y)) (cbrt x) (cbrt (+ x y)) (* (cbrt (cbrt (/ x (+ x y)))) (cbrt (cbrt (/ x (+ x y))))) (cbrt (cbrt (/ x (+ x y)))) (* (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y)))) (sqrt (cbrt (/ x (+ x y)))) (sqrt (cbrt (/ x (+ x y)))) (expm1 (cbrt (/ x (+ x y)))) (log1p (cbrt (/ x (+ x y)))) (log (cbrt (/ x (+ x y)))) (exp (cbrt (/ x (+ x y)))) (cbrt (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))) (cbrt (cbrt (/ x (+ x y)))) (cbrt (sqrt (/ x (+ x y)))) (cbrt (sqrt (/ x (+ x y)))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ (cbrt x) (cbrt (+ x y)))) (cbrt (/ (* (cbrt x) (cbrt 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(* (cbrt (/ (sqrt x) (+ x y))) (cbrt (/ x (+ x y)))) (* (cbrt (/ (sqrt x) (+ x y))) (cbrt (/ x (+ x y)))) (* (cbrt (/ x (cbrt (+ x y)))) (cbrt (/ x (+ x y)))) (* (cbrt (/ x (sqrt (+ x y)))) (cbrt (/ x (+ x y)))) (pow (sqrt (cbrt (/ x (+ x y)))) 4) (pow (sqrt (cbrt (/ x (+ x y)))) 4) (pow (sqrt (cbrt (/ x (+ x y)))) 4) (* (cbrt (/ 1 (+ x y))) (cbrt (/ x (+ x y)))) (* (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (/ x (+ x y)))) (* (cbrt (- x y)) (cbrt (/ x (+ x y)))) (pow (cbrt (cbrt (/ x (+ x y)))) 4) (pow (sqrt (cbrt (/ x (+ x y)))) 3) (pow (sqrt (cbrt (/ x (+ x y)))) 4) (* (cbrt (/ x (+ x y))) (cbrt x)) (* (cbrt (/ x (+ x y))) (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 1.041 * * * [progress]: adding candidates to table 1.381 * [progress]: [Phase 3 of 3] Extracting. 1.381 * * [regime]: Finding splitpoints for: (# # #) 1.381 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 1.381 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # #) 1.392 * * * * [regimes]: Trying to branch on y from (# # #) 1.406 * * * * [regimes]: Trying to branch on x from (# # #) 1.418 * * * [regime]: Found split indices: #