12.216 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.013 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.015 * [simplify]: Simplified to: (/ x (+ x y)) 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 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of (+ x y) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [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 0.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.031 * [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 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.038 * [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 0.042 * [taylor]: Taking taylor expansion of 1 in y 0.043 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.051 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.051 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.052 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.053 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.054 * [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 0.058 * [taylor]: Taking taylor expansion of 1 in y 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [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 (+ 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 0.072 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.075 * * [simplify]: iteration 1 : 393 enodes (cost 150 ) 0.080 * * [simplify]: iteration 2 : 1065 enodes (cost 150 ) 0.099 * * [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 0.198 * * * * [pick]: Picked # 0.198 * * * [progress]: localizing error 0.203 * * * [progress]: generating rewritten candidates 0.203 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.213 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.221 * * * [progress]: generating series expansions 0.221 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.221 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.221 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of (+ x y) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (+ x y) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (+ x y) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.226 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.233 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.233 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.233 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.235 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of 1 in y 0.239 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.246 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.246 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.246 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.247 * [taylor]: Taking taylor expansion of x in y 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 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.249 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of 1 in y 0.252 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.260 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.260 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 0.260 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.260 * [taylor]: Taking taylor expansion of (+ x y) in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.260 * [taylor]: Taking taylor expansion of (+ x y) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.260 * [taylor]: Taking taylor expansion of (+ x y) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.265 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.271 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.271 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of 1 in y 0.275 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.284 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.285 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.285 * [taylor]: Taking taylor expansion of -1 in y 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.285 * [taylor]: Taking taylor expansion of -1 in x 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.286 * [taylor]: Taking taylor expansion of -1 in x 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of -1 in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.295 * * * [progress]: simplifying candidates 0.296 * [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 0.301 * * [simplify]: iteration 0 : 231 enodes (cost 360 ) 0.306 * * [simplify]: iteration 1 : 1017 enodes (cost 310 ) 0.322 * * [simplify]: iteration 2 : 3519 enodes (cost 272 ) 0.352 * * [simplify]: iteration 3 : 5001 enodes (cost 272 ) 0.354 * [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 0.354 * * * [progress]: adding candidates to table 0.439 * * [progress]: iteration 3 / 4 0.439 * * * [progress]: picking best candidate 0.441 * * * * [pick]: Picked # 0.441 * * * [progress]: localizing error 0.449 * * * [progress]: generating rewritten candidates 0.449 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.454 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.459 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.464 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.498 * * * [progress]: generating series expansions 0.498 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.498 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 0.498 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 0.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 0.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 0.498 * [taylor]: Taking taylor expansion of 1/3 in y 0.498 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.498 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.498 * [taylor]: Taking taylor expansion of x in y 0.498 * [taylor]: Taking taylor expansion of (+ x y) in y 0.498 * [taylor]: Taking taylor expansion of x in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.500 * [taylor]: Taking taylor expansion of 1/3 in x 0.500 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.500 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (+ x y) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.501 * [taylor]: Taking taylor expansion of 1/3 in x 0.501 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.501 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (+ x y) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.502 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.502 * [taylor]: Taking taylor expansion of 1/3 in y 0.502 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.502 * [taylor]: Taking taylor expansion of (log x) in y 0.502 * [taylor]: Taking taylor expansion of x in y 0.502 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.502 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y)) in y 0.504 * [taylor]: Taking taylor expansion of -1/3 in y 0.504 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 0.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.504 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.504 * [taylor]: Taking taylor expansion of 1/3 in y 0.504 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.504 * [taylor]: Taking taylor expansion of (log x) in y 0.504 * [taylor]: Taking taylor expansion of x in y 0.504 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 0.514 * [taylor]: Taking taylor expansion of 2/9 in y 0.514 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) in y 0.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.514 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.514 * [taylor]: Taking taylor expansion of 1/3 in y 0.514 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.514 * [taylor]: Taking taylor expansion of (log x) in y 0.514 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.514 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 0.539 * [taylor]: Taking taylor expansion of -14/81 in y 0.539 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 0.539 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.539 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.539 * [taylor]: Taking taylor expansion of 1/3 in y 0.539 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.539 * [taylor]: Taking taylor expansion of (log x) in y 0.539 * [taylor]: Taking taylor expansion of x in y 0.539 * [taylor]: Taking taylor expansion of (log (/ 1 y)) 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 (pow y 3) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.561 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.562 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.562 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.562 * [taylor]: Taking taylor expansion of 1/3 in y 0.562 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.562 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.562 * [taylor]: Taking taylor expansion of x in y 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.562 * [taylor]: Taking taylor expansion of x in y 0.567 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.567 * [taylor]: Taking taylor expansion of 1/3 in x 0.567 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.568 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 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 0.573 * [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 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of 1 in y 0.577 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.577 * [taylor]: Taking taylor expansion of -1/3 in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.582 * [taylor]: Taking taylor expansion of 2/9 in y 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.590 * [taylor]: Taking taylor expansion of -14/81 in y 0.590 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.596 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.596 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.596 * [taylor]: Taking taylor expansion of 1/3 in y 0.596 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.596 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.596 * [taylor]: Taking taylor expansion of x in y 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.597 * [taylor]: Taking taylor expansion of x in y 0.597 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.598 * [taylor]: Taking taylor expansion of 1/3 in x 0.598 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.598 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.598 * [taylor]: Taking taylor expansion of y in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.602 * [taylor]: Taking taylor expansion of 1/3 in x 0.602 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.602 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of 1 in y 0.607 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.607 * [taylor]: Taking taylor expansion of -1/3 in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.612 * [taylor]: Taking taylor expansion of 2/9 in y 0.612 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.620 * [taylor]: Taking taylor expansion of -14/81 in y 0.620 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.625 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.625 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 0.625 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 0.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 0.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 0.625 * [taylor]: Taking taylor expansion of 1/3 in y 0.625 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.625 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [taylor]: Taking taylor expansion of (+ x y) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.627 * [taylor]: Taking taylor expansion of 1/3 in x 0.627 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.627 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (+ x y) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.627 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.627 * [taylor]: Taking taylor expansion of 1/3 in x 0.627 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.627 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (+ x y) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.628 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.628 * [taylor]: Taking taylor expansion of 1/3 in y 0.628 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.628 * [taylor]: Taking taylor expansion of (log x) in y 0.628 * [taylor]: Taking taylor expansion of x in y 0.628 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y)) in y 0.630 * [taylor]: Taking taylor expansion of -1/3 in y 0.630 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 0.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.630 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.630 * [taylor]: Taking taylor expansion of 1/3 in y 0.630 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.630 * [taylor]: Taking taylor expansion of (log x) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.631 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.640 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 0.640 * [taylor]: Taking taylor expansion of 2/9 in y 0.640 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) 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 2) in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.669 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 0.669 * [taylor]: Taking taylor expansion of -14/81 in y 0.669 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 0.669 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.669 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.669 * [taylor]: Taking taylor expansion of 1/3 in y 0.669 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.669 * [taylor]: Taking taylor expansion of (log x) in y 0.669 * [taylor]: Taking taylor expansion of x in y 0.669 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.669 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.692 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.692 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.692 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.692 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.692 * [taylor]: Taking taylor expansion of 1/3 in y 0.692 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.692 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.692 * [taylor]: Taking taylor expansion of x in y 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.692 * [taylor]: Taking taylor expansion of x in y 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 0.693 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.693 * [taylor]: Taking taylor expansion of 1/3 in x 0.693 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.693 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.693 * [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 0.703 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.703 * [taylor]: Taking taylor expansion of -1/3 in y 0.703 * [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 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.720 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.720 * [taylor]: Taking taylor expansion of 1/3 in y 0.720 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.720 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.721 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.721 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.722 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.722 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.722 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.722 * [taylor]: Taking taylor expansion of 1/3 in x 0.722 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.722 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.726 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.726 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.726 * [taylor]: Taking taylor expansion of 1/3 in x 0.726 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.726 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.726 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of 1 in y 0.731 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.731 * [taylor]: Taking taylor expansion of -1/3 in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.735 * [taylor]: Taking taylor expansion of 2/9 in y 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.746 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.746 * [taylor]: Taking taylor expansion of -14/81 in y 0.746 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.752 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.752 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in (x y) around 0 0.752 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in y 0.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in y 0.752 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in y 0.752 * [taylor]: Taking taylor expansion of 1/3 in y 0.752 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in y 0.752 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.752 * [taylor]: Taking taylor expansion of x in y 0.752 * [taylor]: Taking taylor expansion of (+ x y) in y 0.752 * [taylor]: Taking taylor expansion of x in y 0.752 * [taylor]: Taking taylor expansion of y in y 0.754 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.754 * [taylor]: Taking taylor expansion of 1/3 in x 0.754 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.754 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of (+ x y) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of y in x 0.754 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 1/3) in x 0.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ x y))))) in x 0.755 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x (+ x y)))) in x 0.755 * [taylor]: Taking taylor expansion of 1/3 in x 0.755 * [taylor]: Taking taylor expansion of (log (/ x (+ x y))) in x 0.755 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (+ x y) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of y in x 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 0.758 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y)) in y 0.758 * [taylor]: Taking taylor expansion of -1/3 in y 0.758 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) y) in y 0.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.758 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.758 * [taylor]: Taking taylor expansion of 1/3 in y 0.758 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.758 * [taylor]: Taking taylor expansion of (log x) in y 0.758 * [taylor]: Taking taylor expansion of x in y 0.758 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.767 * [taylor]: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2))) in y 0.767 * [taylor]: Taking taylor expansion of 2/9 in y 0.767 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 2)) in y 0.767 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.767 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.767 * [taylor]: Taking taylor expansion of 1/3 in y 0.767 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.767 * [taylor]: Taking taylor expansion of (log x) in y 0.767 * [taylor]: Taking taylor expansion of x in y 0.767 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.767 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.767 * [taylor]: Taking taylor expansion of y in y 0.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.791 * [taylor]: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3))) in y 0.792 * [taylor]: Taking taylor expansion of -14/81 in y 0.792 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log x) (log (/ 1 y))))) (pow y 3)) in y 0.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.792 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.792 * [taylor]: Taking taylor expansion of 1/3 in y 0.792 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.792 * [taylor]: Taking taylor expansion of (log x) in y 0.792 * [taylor]: Taking taylor expansion of x in y 0.792 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.792 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.792 * [taylor]: Taking taylor expansion of y in y 0.793 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.814 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.814 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.814 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.814 * [taylor]: Taking taylor expansion of 1/3 in y 0.814 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.814 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.815 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.815 * [taylor]: Taking taylor expansion of 1/3 in x 0.815 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.815 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.815 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.820 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.820 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.820 * [taylor]: Taking taylor expansion of 1/3 in x 0.820 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.820 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.820 * [taylor]: Taking taylor expansion of y in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of 1 in y 0.824 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.824 * [taylor]: Taking taylor expansion of -1/3 in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.832 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.832 * [taylor]: Taking taylor expansion of 2/9 in y 0.832 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.840 * [taylor]: Taking taylor expansion of -14/81 in y 0.840 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.846 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in (x y) around 0 0.846 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in y 0.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in y 0.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.846 * [taylor]: Taking taylor expansion of 1/3 in y 0.846 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.846 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.846 * [taylor]: Taking taylor expansion of x in y 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.846 * [taylor]: Taking taylor expansion of x in y 0.847 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.847 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.847 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.847 * [taylor]: Taking taylor expansion of 1/3 in x 0.847 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.847 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.847 * [taylor]: Taking taylor expansion of y in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1/3) in x 0.852 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))))) in x 0.852 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.852 * [taylor]: Taking taylor expansion of 1/3 in x 0.852 * [taylor]: Taking taylor expansion of (log (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.852 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.852 * [taylor]: Taking taylor expansion of y in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of 1 in y 0.857 * [taylor]: Taking taylor expansion of (/ -1/3 y) in y 0.857 * [taylor]: Taking taylor expansion of -1/3 in y 0.857 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of (/ 2/9 (pow y 2)) in y 0.861 * [taylor]: Taking taylor expansion of 2/9 in y 0.861 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of (/ -14/81 (pow y 3)) in y 0.869 * [taylor]: Taking taylor expansion of -14/81 in y 0.869 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.874 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.875 * [approximate]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in (x y) around 0 0.875 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in y 0.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in y 0.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in y 0.875 * [taylor]: Taking taylor expansion of 1/3 in y 0.875 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in y 0.875 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in y 0.875 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.875 * [taylor]: Taking taylor expansion of x in y 0.875 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.875 * [taylor]: Taking taylor expansion of (+ x y) in y 0.875 * [taylor]: Taking taylor expansion of x in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in x 0.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in x 0.877 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in x 0.877 * [taylor]: Taking taylor expansion of 1/3 in x 0.877 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in x 0.877 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in x 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.877 * [taylor]: Taking taylor expansion of (+ x y) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.878 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow (+ x y) 2)) 1/3) in x 0.878 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2))))) in x 0.878 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow (+ x y) 2)))) in x 0.878 * [taylor]: Taking taylor expansion of 1/3 in x 0.878 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow (+ x y) 2))) in x 0.878 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow (+ x y) 2)) in x 0.878 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.878 * [taylor]: Taking taylor expansion of (+ x y) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.879 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.879 * [taylor]: Taking taylor expansion of 1/3 in y 0.879 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.879 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.879 * [taylor]: Taking taylor expansion of 2 in y 0.879 * [taylor]: Taking taylor expansion of (log x) in y 0.879 * [taylor]: Taking taylor expansion of x in y 0.880 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.880 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) y)) in y 0.883 * [taylor]: Taking taylor expansion of -2/3 in y 0.883 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) y) in y 0.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.883 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.883 * [taylor]: Taking taylor expansion of 1/3 in y 0.883 * [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 y in y 0.896 * [taylor]: Taking taylor expansion of (* 5/9 (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 2))) in y 0.896 * [taylor]: Taking taylor expansion of 5/9 in y 0.896 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 2)) in y 0.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.896 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.896 * [taylor]: Taking taylor expansion of 1/3 in y 0.896 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.896 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.896 * [taylor]: Taking taylor expansion of 2 in y 0.896 * [taylor]: Taking taylor expansion of (log x) in y 0.896 * [taylor]: Taking taylor expansion of x in y 0.896 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of (* -40/81 (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 3))) in y 0.931 * [taylor]: Taking taylor expansion of -40/81 in y 0.931 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) (pow y 3)) in y 0.931 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.931 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.931 * [taylor]: Taking taylor expansion of 1/3 in y 0.931 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.931 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.931 * [taylor]: Taking taylor expansion of 2 in y 0.931 * [taylor]: Taking taylor expansion of (log x) in y 0.931 * [taylor]: Taking taylor expansion of x in y 0.931 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.931 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.957 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in (x y) around 0 0.957 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in y 0.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in y 0.957 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 0.957 * [taylor]: Taking taylor expansion of 1/3 in y 0.957 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.957 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.957 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.957 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.957 * [taylor]: Taking taylor expansion of x in y 0.957 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.957 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.957 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.957 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.957 * [taylor]: Taking taylor expansion of x in y 0.959 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.959 * [taylor]: Taking taylor expansion of 1/3 in x 0.959 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.959 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.959 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.959 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.963 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.963 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.963 * [taylor]: Taking taylor expansion of 1/3 in x 0.963 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.963 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.963 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of 1 in y 0.967 * [taylor]: Taking taylor expansion of (/ -2/3 y) in y 0.967 * [taylor]: Taking taylor expansion of -2/3 in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.972 * [taylor]: Taking taylor expansion of (/ 5/9 (pow y 2)) in y 0.972 * [taylor]: Taking taylor expansion of 5/9 in y 0.972 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.972 * [taylor]: Taking taylor expansion of y in y 0.981 * [taylor]: Taking taylor expansion of (/ -40/81 (pow y 3)) in y 0.981 * [taylor]: Taking taylor expansion of -40/81 in y 0.981 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.981 * [taylor]: Taking taylor expansion of y in y 0.987 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in (x y) around 0 0.987 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in y 0.987 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in y 0.987 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in y 0.987 * [taylor]: Taking taylor expansion of 1/3 in y 0.987 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.987 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.987 * [taylor]: Taking taylor expansion of x in y 0.987 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.987 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.987 * [taylor]: Taking taylor expansion of x in y 0.989 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.989 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.989 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.989 * [taylor]: Taking taylor expansion of 1/3 in x 0.989 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.989 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.989 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.989 * [taylor]: Taking taylor expansion of y in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) 1/3) in x 0.993 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))))) in x 0.993 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))))) in x 0.993 * [taylor]: Taking taylor expansion of 1/3 in x 0.993 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.993 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.993 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.993 * [taylor]: Taking taylor expansion of y in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of 1 in y 0.997 * [taylor]: Taking taylor expansion of (/ -2/3 y) in y 0.997 * [taylor]: Taking taylor expansion of -2/3 in y 0.997 * [taylor]: Taking taylor expansion of y in y 1.007 * [taylor]: Taking taylor expansion of (/ 5/9 (pow y 2)) in y 1.007 * [taylor]: Taking taylor expansion of 5/9 in y 1.007 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.007 * [taylor]: Taking taylor expansion of y in y 1.016 * [taylor]: Taking taylor expansion of (/ -40/81 (pow y 3)) in y 1.016 * [taylor]: Taking taylor expansion of -40/81 in y 1.016 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.021 * * * [progress]: simplifying candidates 1.023 * [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 1.094 * * * [progress]: adding candidates to table 1.468 * [progress]: [Phase 3 of 3] Extracting. 1.468 * * [regime]: Finding splitpoints for: (# # #) 1.468 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 1.468 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # #) 1.483 * * * * [regimes]: Trying to branch on y from (# # #) 1.494 * * * * [regimes]: Trying to branch on x from (# # #) 1.506 * * * [regime]: Found split indices: #