7.173 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (/ x (+ y x)) 0.013 * [simplify]: Sending expressions to egg_math: (/ h0 (+ h1 h0)) 0.015 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.016 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.016 * [simplify]: Simplified to: (/ x (+ y x)) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.021 * * * [progress]: generating rewritten candidates 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (+ x y) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (+ x y) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (+ x y) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.045 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.045 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.045 * [taylor]: Taking taylor expansion of x in y 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 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.047 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.057 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.057 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.058 * [taylor]: Taking taylor expansion of x in y 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 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.060 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.073 * * * [progress]: simplifying candidates 0.073 * [simplify]: Simplifying using # : (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.073 * [simplify]: Sending expressions to egg_math: (expm1 (/ h0 (+ h1 h0))) (log1p (/ h0 (+ h1 h0))) (- (log h0) (log (+ h1 h0))) (log (/ h0 (+ h1 h0))) (exp (/ h0 (+ h1 h0))) (/ (* (* h0 h0) h0) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (/ h0 (+ h1 h0))) (cbrt (/ h0 (+ h1 h0)))) (cbrt (/ h0 (+ h1 h0))) (* (* (/ h0 (+ h1 h0)) (/ h0 (+ h1 h0))) (/ h0 (+ h1 h0))) (sqrt (/ h0 (+ h1 h0))) (sqrt (/ h0 (+ h1 h0))) (- h0) (- (+ h1 h0)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (cbrt h0) (cbrt (+ h1 h0))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h1 h0))) (/ (cbrt h0) (sqrt (+ h1 h0))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 h0)) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 h0)) (/ (sqrt h0) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (sqrt h0) (cbrt (+ h1 h0))) (/ (sqrt h0) (sqrt (+ h1 h0))) (/ (sqrt h0) (sqrt (+ h1 h0))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 h0)) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 h0)) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ h0 (cbrt (+ h1 h0))) (/ 1 (sqrt (+ h1 h0))) (/ h0 (sqrt (+ h1 h0))) (/ 1 1) (/ h0 (+ h1 h0)) (/ 1 1) (/ h0 (+ h1 h0)) (/ 1 (+ h1 h0)) (/ (+ h1 h0) h0) (/ h0 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ h0 (sqrt (+ h1 h0))) (/ h0 1) (/ h0 1) (/ (+ h1 h0) (cbrt h0)) (/ (+ h1 h0) (sqrt h0)) (/ (+ h1 h0) h0) (/ h0 (+ (pow h1 3) (pow h0 3))) (/ h0 (- (* h1 h1) (* h0 h0))) 0 0 0 0.076 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.079 * * [simplify]: iteration 1 : 391 enodes (cost 150 ) 0.085 * * [simplify]: iteration 2 : 1069 enodes (cost 150 ) 0.104 * * [simplify]: iteration 3 : 3853 enodes (cost 150 ) 0.153 * * [simplify]: iteration 4 : 5001 enodes (cost 150 ) 0.155 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.155 * * * [progress]: adding candidates to table 0.213 * * [progress]: iteration 2 / 4 0.213 * * * [progress]: picking best candidate 0.217 * * * * [pick]: Picked # 0.217 * * * [progress]: localizing error 0.224 * * * [progress]: generating rewritten candidates 0.224 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.225 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.235 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.237 * * * [progress]: generating series expansions 0.237 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.237 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in (x y) around 0 0.237 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in y 0.238 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.238 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in y 0.238 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 0.238 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.238 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 0.238 * [taylor]: Taking taylor expansion of 1 in y 0.238 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of (+ x y) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of 1 in y 0.239 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in x 0.239 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.239 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in x 0.239 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.239 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.239 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.239 * [taylor]: Taking taylor expansion of 1 in x 0.239 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (+ x y) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of 1 in x 0.240 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in x 0.240 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.240 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in x 0.240 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.240 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.240 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.240 * [taylor]: Taking taylor expansion of 1 in x 0.240 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (+ x y) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of 1 in x 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.248 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in (x y) around 0 0.248 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.248 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.248 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.248 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.248 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.248 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.248 * [taylor]: Taking taylor expansion of 1 in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.248 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of 1 in y 0.250 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.250 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.250 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.250 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.250 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.250 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.250 * [taylor]: Taking taylor expansion of 1 in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.250 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of 1 in x 0.252 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.252 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.252 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.253 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.253 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.253 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.253 * [taylor]: Taking taylor expansion of 1 in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.253 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of 1 in x 0.256 * [taylor]: Taking taylor expansion of 1 in y 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.274 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.279 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in (x y) around 0 0.279 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.279 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.279 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.279 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.279 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.279 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.279 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.281 * [taylor]: Taking taylor expansion of 1 in y 0.281 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.281 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.281 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.281 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.281 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.281 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.281 * [taylor]: Taking taylor expansion of 1 in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.281 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of 1 in x 0.284 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.284 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.284 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.284 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.284 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.284 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.284 * [taylor]: Taking taylor expansion of 1 in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.284 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of 1 in x 0.287 * [taylor]: Taking taylor expansion of 1 in y 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.308 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.308 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.308 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of (+ x y) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (+ x y) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (+ x y) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.313 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.319 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.319 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.319 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.320 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.321 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of 1 in y 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.331 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.331 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.331 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.332 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.333 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of 1 in y 0.337 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.337 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.343 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.344 * [approximate]: Taking taylor expansion of (log1p (/ x (+ x y))) in (x y) around 0 0.344 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 0.344 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.344 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 0.344 * [taylor]: Taking taylor expansion of 1 in y 0.344 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (+ x y) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.344 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.345 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.345 * [taylor]: Taking taylor expansion of 1 in x 0.345 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (+ x y) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.345 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.345 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.345 * [taylor]: Taking taylor expansion of 1 in x 0.345 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (+ x y) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (/ -3/2 (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of -3/2 in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.351 * [approximate]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.351 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.351 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.351 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.351 * [taylor]: Taking taylor expansion of 1 in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.351 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.352 * [taylor]: Taking taylor expansion of x in y 0.352 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.353 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.353 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.353 * [taylor]: Taking taylor expansion of 1 in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.353 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.355 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.355 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.355 * [taylor]: Taking taylor expansion of 1 in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.355 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (log 2) in y 0.357 * [taylor]: Taking taylor expansion of 2 in y 0.362 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.362 * [taylor]: Taking taylor expansion of -1/2 in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.367 * [taylor]: Taking taylor expansion of 3/8 in y 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (/ -7/24 (pow y 3)) in y 0.375 * [taylor]: Taking taylor expansion of -7/24 in y 0.375 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.381 * [approximate]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.381 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.381 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.381 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.381 * [taylor]: Taking taylor expansion of 1 in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.381 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.382 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.382 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.382 * [taylor]: Taking taylor expansion of 1 in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.382 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.385 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.385 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.385 * [taylor]: Taking taylor expansion of 1 in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.385 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.385 * [taylor]: Taking taylor expansion of y in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (log 2) in y 0.387 * [taylor]: Taking taylor expansion of 2 in y 0.389 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.389 * [taylor]: Taking taylor expansion of -1/2 in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.394 * [taylor]: Taking taylor expansion of 3/8 in y 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of (/ -7/24 (pow y 3)) in y 0.402 * [taylor]: Taking taylor expansion of -7/24 in y 0.402 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.407 * * * [progress]: simplifying candidates 0.408 * [simplify]: Simplifying using # : (exp (log1p (/ x (+ y x)))) (expm1 (expm1 (log1p (/ x (+ y x))))) (log1p (expm1 (log1p (/ x (+ y x))))) (log (expm1 (log1p (/ x (+ y x))))) (exp (expm1 (log1p (/ x (+ y x))))) (* (cbrt (expm1 (log1p (/ x (+ y x))))) (cbrt (expm1 (log1p (/ x (+ y x)))))) (cbrt (expm1 (log1p (/ x (+ y x))))) (* (* (expm1 (log1p (/ x (+ y x)))) (expm1 (log1p (/ x (+ y x))))) (expm1 (log1p (/ x (+ y x))))) (sqrt (expm1 (log1p (/ x (+ y x))))) (sqrt (expm1 (log1p (/ x (+ y x))))) (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) (+ 1 (/ x (+ y x))) (expm1 (log1p (/ x (+ y x)))) (log1p (log1p (/ x (+ y x)))) (log (log1p (/ x (+ y x)))) (exp (log1p (/ x (+ y x)))) (* (cbrt (log1p (/ x (+ y x)))) (cbrt (log1p (/ x (+ y x))))) (cbrt (log1p (/ x (+ y x)))) (* (* (log1p (/ x (+ y x))) (log1p (/ x (+ y x)))) (log1p (/ x (+ y x)))) (sqrt (log1p (/ x (+ y x)))) (sqrt (log1p (/ x (+ y x)))) 0 1 1 0 0 0 0 (log 2) (log 2) 0.409 * [simplify]: Sending expressions to egg_math: (exp (log1p (/ h0 (+ h1 h0)))) (expm1 (expm1 (log1p (/ h0 (+ h1 h0))))) (log1p (expm1 (log1p (/ h0 (+ h1 h0))))) (log (expm1 (log1p (/ h0 (+ h1 h0))))) (exp (expm1 (log1p (/ h0 (+ h1 h0))))) (* (cbrt (expm1 (log1p (/ h0 (+ h1 h0))))) (cbrt (expm1 (log1p (/ h0 (+ h1 h0)))))) (cbrt (expm1 (log1p (/ h0 (+ h1 h0))))) (* (* (expm1 (log1p (/ h0 (+ h1 h0)))) (expm1 (log1p (/ h0 (+ h1 h0))))) (expm1 (log1p (/ h0 (+ h1 h0))))) (sqrt (expm1 (log1p (/ h0 (+ h1 h0))))) (sqrt (expm1 (log1p (/ h0 (+ h1 h0))))) (expm1 (/ h0 (+ h1 h0))) (log1p (/ h0 (+ h1 h0))) (- (log h0) (log (+ h1 h0))) (log (/ h0 (+ h1 h0))) (exp (/ h0 (+ h1 h0))) (/ (* (* h0 h0) h0) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (/ h0 (+ h1 h0))) (cbrt (/ h0 (+ h1 h0)))) (cbrt (/ h0 (+ h1 h0))) (* (* (/ h0 (+ h1 h0)) (/ h0 (+ h1 h0))) (/ h0 (+ h1 h0))) (sqrt (/ h0 (+ h1 h0))) (sqrt (/ h0 (+ h1 h0))) (- h0) (- (+ h1 h0)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (cbrt h0) (cbrt (+ h1 h0))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h1 h0))) (/ (cbrt h0) (sqrt (+ h1 h0))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 h0)) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 h0)) (/ (sqrt h0) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (sqrt h0) (cbrt (+ h1 h0))) (/ (sqrt h0) (sqrt (+ h1 h0))) (/ (sqrt h0) (sqrt (+ h1 h0))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 h0)) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 h0)) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ h0 (cbrt (+ h1 h0))) (/ 1 (sqrt (+ h1 h0))) (/ h0 (sqrt (+ h1 h0))) (/ 1 1) (/ h0 (+ h1 h0)) (/ 1 1) (/ h0 (+ h1 h0)) (/ 1 (+ h1 h0)) (/ (+ h1 h0) h0) (/ h0 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ h0 (sqrt (+ h1 h0))) (/ h0 1) (/ h0 1) (/ (+ h1 h0) (cbrt h0)) (/ (+ h1 h0) (sqrt h0)) (/ (+ h1 h0) h0) (/ h0 (+ (pow h1 3) (pow h0 3))) (/ h0 (- (* h1 h1) (* h0 h0))) (+ 1 (/ h0 (+ h1 h0))) (expm1 (log1p (/ h0 (+ h1 h0)))) (log1p (log1p (/ h0 (+ h1 h0)))) (log (log1p (/ h0 (+ h1 h0)))) (exp (log1p (/ h0 (+ h1 h0)))) (* (cbrt (log1p (/ h0 (+ h1 h0)))) (cbrt (log1p (/ h0 (+ h1 h0))))) (cbrt (log1p (/ h0 (+ h1 h0)))) (* (* (log1p (/ h0 (+ h1 h0))) (log1p (/ h0 (+ h1 h0)))) (log1p (/ h0 (+ h1 h0)))) (sqrt (log1p (/ h0 (+ h1 h0)))) (sqrt (log1p (/ h0 (+ h1 h0)))) 0 1 1 0 0 0 0 (log 2) (log 2) 0.412 * * [simplify]: iteration 0 : 144 enodes (cost 250 ) 0.415 * * [simplify]: iteration 1 : 424 enodes (cost 229 ) 0.421 * * [simplify]: iteration 2 : 1106 enodes (cost 229 ) 0.442 * * [simplify]: iteration 3 : 3898 enodes (cost 229 ) 0.493 * * [simplify]: iteration 4 : 5001 enodes (cost 229 ) 0.495 * [simplify]: Simplified to: (exp (log1p (/ x (+ y x)))) (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) (+ 1 (/ x (+ y x))) (/ x (+ y x)) (log1p (log1p (/ x (+ y x)))) (log (log1p (/ x (+ y x)))) (exp (log1p (/ x (+ y x)))) (* (cbrt (log1p (/ x (+ y x)))) (cbrt (log1p (/ x (+ y x))))) (cbrt (log1p (/ x (+ y x)))) (pow (log1p (/ x (+ y x))) 3) (sqrt (log1p (/ x (+ y x)))) (sqrt (log1p (/ x (+ y x)))) 0 1 1 0 0 0 0 (log 2) (log 2) 0.495 * * * [progress]: adding candidates to table 0.626 * * [progress]: iteration 3 / 4 0.626 * * * [progress]: picking best candidate 0.628 * * * * [pick]: Picked # 0.629 * * * [progress]: localizing error 0.633 * * * [progress]: generating rewritten candidates 0.633 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.662 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.677 * * * [progress]: generating series expansions 0.677 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.677 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.677 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.677 * [taylor]: Taking taylor expansion of x in y 0.677 * [taylor]: Taking taylor expansion of (+ x y) in y 0.677 * [taylor]: Taking taylor expansion of x in y 0.677 * [taylor]: Taking taylor expansion of y in y 0.677 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (+ x y) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of y in x 0.677 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (+ x y) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of y in x 0.677 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.677 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.682 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.691 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.691 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.691 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.691 * [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 0.692 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.692 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.692 * [taylor]: Taking taylor expansion of y in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.692 * [taylor]: Taking taylor expansion of 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 0.696 * [taylor]: Taking taylor expansion of 1 in y 0.697 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.700 * [taylor]: Taking taylor expansion of y in y 0.704 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.704 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.704 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.705 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.705 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.705 * [taylor]: Taking taylor expansion of y in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.706 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.706 * [taylor]: Taking taylor expansion of y in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of 1 in y 0.709 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.712 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.712 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.716 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.717 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 0.717 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) 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 (/ 1 (+ x y)) in y 0.717 * [taylor]: Taking taylor expansion of (+ x y) in y 0.717 * [taylor]: Taking taylor expansion of x in y 0.717 * [taylor]: Taking taylor expansion of y in y 0.717 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.717 * [taylor]: Taking taylor expansion of (+ x y) in y 0.717 * [taylor]: Taking taylor expansion of x in y 0.717 * [taylor]: Taking taylor expansion of y in y 0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.721 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.728 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.728 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.728 * [taylor]: Taking taylor expansion of y in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) 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 (/ 1 x) in y 0.730 * [taylor]: Taking taylor expansion of x in y 0.730 * [taylor]: Taking taylor expansion of 1 in x 0.731 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.737 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.737 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.737 * [taylor]: Taking taylor expansion of -1 in x 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.738 * [taylor]: Taking taylor expansion of -1 in y 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.739 * [taylor]: Taking taylor expansion of x in y 0.739 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.739 * [taylor]: Taking taylor expansion of -1 in y 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.739 * [taylor]: Taking taylor expansion of x in y 0.740 * [taylor]: Taking taylor expansion of -1 in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.743 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.747 * * * [progress]: simplifying candidates 0.748 * [simplify]: Simplifying using # : (expm1 (* x (/ 1 (+ y x)))) (log1p (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x))) (+ (log x) (- (log (+ y x)))) (+ (log x) (- 0 (log (+ y x)))) (+ (log x) (- (log 1) (log (+ y x)))) (+ (log x) (log (/ 1 (+ y x)))) (log (* x (/ 1 (+ y x)))) (exp (* x (/ 1 (+ y x)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x)))) (* (* (* x x) x) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x)))) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (* (* (* x (/ 1 (+ y x))) (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (sqrt 1) (sqrt (+ y x)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ 1 (sqrt (+ y x)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow y 3) (pow x 3)))) (* x (/ 1 (- (* y y) (* x x)))) (* (cbrt x) (/ 1 (+ y x))) (* (sqrt x) (/ 1 (+ y x))) (* x (/ 1 (+ y x))) (* x 1) (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y x))) (- 1) (- (log (+ y x))) (- 0 (log (+ y x))) (- (log 1) (log (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt 1) (cbrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x))) (/ (cbrt 1) (sqrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt 1) (cbrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 (+ y x)) (/ 1 1) (/ 1 (+ y x)) (/ 1 (+ y x)) (/ (+ y x) 1) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 1) (/ (+ y x) (cbrt 1)) (/ (+ y x) (sqrt 1)) (/ (+ y x) 1) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 0.748 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (/ 1 (+ h1 h0)))) (log1p (* h0 (/ 1 (+ h1 h0)))) (* h0 (/ 1 (+ h1 h0))) (+ (log h0) (- (log (+ h1 h0)))) (+ (log h0) (- 0 (log (+ h1 h0)))) (+ (log h0) (- (log 1) (log (+ h1 h0)))) (+ (log h0) (log (/ 1 (+ h1 h0)))) (log (* h0 (/ 1 (+ h1 h0)))) (exp (* h0 (/ 1 (+ h1 h0)))) (* (* (* h0 h0) h0) (/ (* (* 1 1) 1) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)))) (* (* (* h0 h0) h0) (* (* (/ 1 (+ h1 h0)) (/ 1 (+ h1 h0))) (/ 1 (+ h1 h0)))) (* (cbrt (* h0 (/ 1 (+ h1 h0)))) (cbrt (* h0 (/ 1 (+ h1 h0))))) (cbrt (* h0 (/ 1 (+ h1 h0)))) (* (* (* h0 (/ 1 (+ h1 h0))) (* h0 (/ 1 (+ h1 h0)))) (* h0 (/ 1 (+ h1 h0)))) (sqrt (* h0 (/ 1 (+ h1 h0)))) (sqrt (* h0 (/ 1 (+ h1 h0)))) (* (sqrt h0) (sqrt (/ 1 (+ h1 h0)))) (* (sqrt h0) (sqrt (/ 1 (+ h1 h0)))) (* (sqrt h0) (/ (sqrt 1) (sqrt (+ h1 h0)))) (* (sqrt h0) (/ (sqrt 1) (sqrt (+ h1 h0)))) (* (sqrt h0) (/ 1 (sqrt (+ h1 h0)))) (* (sqrt h0) (/ 1 (sqrt (+ h1 h0)))) (* h0 (* (cbrt (/ 1 (+ h1 h0))) (cbrt (/ 1 (+ h1 h0))))) (* h0 (sqrt (/ 1 (+ h1 h0)))) (* h0 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (* h0 (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h1 h0)))) (* h0 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h0 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h0 (/ (sqrt 1) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (* h0 (/ (sqrt 1) (sqrt (+ h1 h0)))) (* h0 (/ (sqrt 1) 1)) (* h0 (/ (sqrt 1) 1)) (* h0 (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (* h0 (/ 1 (sqrt (+ h1 h0)))) (* h0 (/ 1 1)) (* h0 (/ 1 1)) (* h0 1) (* h0 1) (* h0 (/ 1 (+ (pow h1 3) (pow h0 3)))) (* h0 (/ 1 (- (* h1 h1) (* h0 h0)))) (* (cbrt h0) (/ 1 (+ h1 h0))) (* (sqrt h0) (/ 1 (+ h1 h0))) (* h0 (/ 1 (+ h1 h0))) (* h0 1) (expm1 (/ 1 (+ h1 h0))) (log1p (/ 1 (+ h1 h0))) (- 1) (- (log (+ h1 h0))) (- 0 (log (+ h1 h0))) (- (log 1) (log (+ h1 h0))) (log (/ 1 (+ h1 h0))) (exp (/ 1 (+ h1 h0))) (/ (* (* 1 1) 1) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (/ 1 (+ h1 h0))) (cbrt (/ 1 (+ h1 h0)))) (cbrt (/ 1 (+ h1 h0))) (* (* (/ 1 (+ h1 h0)) (/ 1 (+ h1 h0))) (/ 1 (+ h1 h0))) (sqrt (/ 1 (+ h1 h0))) (sqrt (/ 1 (+ h1 h0))) (- 1) (- (+ h1 h0)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (cbrt 1) (cbrt (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h1 h0))) (/ (cbrt 1) (sqrt (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h1 h0)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h1 h0)) (/ (sqrt 1) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (sqrt 1) (cbrt (+ h1 h0))) (/ (sqrt 1) (sqrt (+ h1 h0))) (/ (sqrt 1) (sqrt (+ h1 h0))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h1 h0)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h1 h0)) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ 1 (cbrt (+ h1 h0))) (/ 1 (sqrt (+ h1 h0))) (/ 1 (sqrt (+ h1 h0))) (/ 1 1) (/ 1 (+ h1 h0)) (/ 1 1) (/ 1 (+ h1 h0)) (/ 1 (+ h1 h0)) (/ (+ h1 h0) 1) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ 1 (sqrt (+ h1 h0))) (/ 1 1) (/ 1 1) (/ (+ h1 h0) (cbrt 1)) (/ (+ h1 h0) (sqrt 1)) (/ (+ h1 h0) 1) (/ 1 (+ (pow h1 3) (pow h0 3))) (/ 1 (- (* h1 h1) (* h0 h0))) 0 0 0 0 0 0 0.753 * * [simplify]: iteration 0 : 231 enodes (cost 360 ) 0.759 * * [simplify]: iteration 1 : 1013 enodes (cost 310 ) 0.777 * * [simplify]: iteration 2 : 3518 enodes (cost 272 ) 0.809 * * [simplify]: iteration 3 : 5002 enodes (cost 272 ) 0.811 * [simplify]: Simplified to: (expm1 (* x (/ 1 (+ y x)))) (log1p (* x (/ 1 (+ y x)))) (/ x (+ y x)) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (exp (* x (/ 1 (+ y x)))) (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (pow (/ x (+ y x)) 3) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x x x (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) (/ (cbrt x) (+ y x)) (/ (sqrt x) (+ y x)) (/ x (+ y x)) x (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y x))) (- 1) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ 1 (pow (+ y x) 3)) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (/ 1 (pow (+ y x) 3)) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (+ y x)) (+ y x) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) 1 1 (+ y x) (+ y x) (+ y x) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 0.811 * * * [progress]: adding candidates to table 0.921 * * [progress]: iteration 4 / 4 0.921 * * * [progress]: picking best candidate 0.923 * * * * [pick]: Picked # 0.923 * * * [progress]: localizing error 0.932 * * * [progress]: generating rewritten candidates 0.932 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.946 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.960 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.977 * * * [progress]: generating series expansions 0.977 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.977 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.977 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.977 * [taylor]: Taking taylor expansion of x in y 0.977 * [taylor]: Taking taylor expansion of (+ x y) in y 0.977 * [taylor]: Taking taylor expansion of x in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.977 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (+ x y) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of y in x 0.977 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (+ x y) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of y in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.978 * [taylor]: Taking taylor expansion of y in y 0.979 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.979 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.982 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.988 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.988 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.988 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.989 * [taylor]: Taking taylor expansion of x in y 0.989 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.989 * [taylor]: Taking taylor expansion of y in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.989 * [taylor]: Taking taylor expansion of x in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.989 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.989 * [taylor]: Taking taylor expansion of x 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 0.991 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.991 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of 1 in y 0.994 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.994 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.994 * [taylor]: Taking taylor expansion of y in y 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.001 * [taylor]: Taking taylor expansion of y in y 1.005 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.005 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.005 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.006 * [taylor]: Taking taylor expansion of x in y 1.006 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.006 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.006 * [taylor]: Taking taylor expansion of y in y 1.006 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.006 * [taylor]: Taking taylor expansion of x in y 1.006 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.006 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.006 * [taylor]: Taking taylor expansion of y in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.008 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.008 * [taylor]: Taking taylor expansion of y in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of 1 in y 1.011 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.011 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.011 * [taylor]: Taking taylor expansion of y in y 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.018 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.018 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in (x y) around 0 1.018 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in y 1.018 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.018 * [taylor]: Taking taylor expansion of x in y 1.018 * [taylor]: Taking taylor expansion of (+ x y) in y 1.018 * [taylor]: Taking taylor expansion of x in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 1.018 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of (+ x y) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of y in x 1.018 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 1.018 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of (+ x y) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of y in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.018 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.019 * [taylor]: Taking taylor expansion of y in y 1.024 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow y 4)))) in y 1.024 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 1.024 * [taylor]: Taking taylor expansion of 3 in y 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.024 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.024 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 5))) in y 1.034 * [taylor]: Taking taylor expansion of 6 in y 1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 1.034 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.050 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 1.050 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.050 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.050 * [taylor]: Taking taylor expansion of x in y 1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.050 * [taylor]: Taking taylor expansion of x in y 1.050 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.051 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.052 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.052 * [taylor]: Taking taylor expansion of y in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of 1 in y 1.056 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 1.056 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 1.056 * [taylor]: Taking taylor expansion of 3 in y 1.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.056 * [taylor]: Taking taylor expansion of y in y 1.061 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 1.061 * [taylor]: Taking taylor expansion of 6 in y 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.061 * [taylor]: Taking taylor expansion of y in y 1.069 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 1.069 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 1.069 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.069 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.069 * [taylor]: Taking taylor expansion of x in y 1.069 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.069 * [taylor]: Taking taylor expansion of y in y 1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.070 * [taylor]: Taking taylor expansion of x in y 1.070 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.070 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.072 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.072 * [taylor]: Taking taylor expansion of y in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of 1 in y 1.075 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 1.075 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 1.075 * [taylor]: Taking taylor expansion of 3 in y 1.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.075 * [taylor]: Taking taylor expansion of y in y 1.083 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 1.083 * [taylor]: Taking taylor expansion of 6 in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.083 * [taylor]: Taking taylor expansion of y in y 1.090 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.090 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 1.090 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.090 * [taylor]: Taking taylor expansion of x in y 1.091 * [taylor]: Taking taylor expansion of (+ x y) in y 1.091 * [taylor]: Taking taylor expansion of x in y 1.091 * [taylor]: Taking taylor expansion of y in y 1.091 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (+ x y) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of y in x 1.091 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (+ x y) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of y in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.091 * [taylor]: Taking taylor expansion of y in y 1.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.095 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.095 * [taylor]: Taking taylor expansion of y in y 1.102 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.102 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.102 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.102 * [taylor]: Taking taylor expansion of x in y 1.102 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.102 * [taylor]: Taking taylor expansion of y in y 1.102 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.102 * [taylor]: Taking taylor expansion of x in y 1.103 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.103 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.103 * [taylor]: Taking taylor expansion of y in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.104 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.104 * [taylor]: Taking taylor expansion of y in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of 1 in y 1.107 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.107 * [taylor]: Taking taylor expansion of y in y 1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.110 * [taylor]: Taking taylor expansion of y in y 1.114 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.114 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.114 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.114 * [taylor]: Taking taylor expansion of x in y 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.114 * [taylor]: Taking taylor expansion of y in y 1.115 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.115 * [taylor]: Taking taylor expansion of x in y 1.115 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.115 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.115 * [taylor]: Taking taylor expansion of y in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.117 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.117 * [taylor]: Taking taylor expansion of y in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.118 * [taylor]: Taking taylor expansion of 1 in y 1.120 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.120 * [taylor]: Taking taylor expansion of y in y 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.123 * [taylor]: Taking taylor expansion of y in y 1.127 * * * [progress]: simplifying candidates 1.129 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (/ x (+ y x)) 3))) (log1p (cbrt (pow (/ x (+ y x)) 3))) (log (cbrt (pow (/ x (+ y x)) 3))) (exp (cbrt (pow (/ x (+ y x)) 3))) (cbrt (pow (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) 3)) (cbrt (pow (cbrt (/ x (+ y x))) 3)) (cbrt (pow (sqrt (/ x (+ y x))) 3)) (cbrt (pow (sqrt (/ x (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ (cbrt x) (cbrt (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) 3)) (cbrt (pow (/ (cbrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ y x)) 3)) (cbrt 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x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0 0 0 0 0 0 1.182 * * * [progress]: adding candidates to table 1.378 * [progress]: [Phase 3 of 3] Extracting. 1.378 * * [regime]: Finding splitpoints for: (# # #) 1.378 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 1.378 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # #) 1.390 * * * * [regimes]: Trying to branch on y from (# # #) 1.406 * * * * [regimes]: Trying to branch on x from (# # #) 1.420 * * * [regime]: Found split indices: #