3.997 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.021 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.023 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.023 * [simplify]: Simplified to: (/ x (+ x y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.040 * * * [progress]: generating series expansions 0.040 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.040 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of (+ x y) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ x y) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ x y) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.056 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.056 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.056 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.058 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of 1 in y 0.061 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.069 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.069 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.069 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.069 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.070 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.075 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.085 * * * [progress]: simplifying candidates 0.086 * [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 0.089 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.092 * * [simplify]: iteration 1 : 393 enodes (cost 150 ) 0.097 * * [simplify]: iteration 2 : 1065 enodes (cost 150 ) 0.113 * * [simplify]: iteration 3 : 3830 enodes (cost 150 ) 0.160 * * [simplify]: iteration 4 : 5002 enodes (cost 150 ) 0.161 * [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 0.161 * * * [progress]: adding candidates to table 0.213 * * [progress]: iteration 2 / 4 0.214 * * * [progress]: picking best candidate 0.216 * * * * [pick]: Picked # 0.216 * * * [progress]: localizing error 0.222 * * * [progress]: generating rewritten candidates 0.222 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.223 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.223 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.229 * * * [progress]: generating series expansions 0.229 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.230 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in (x y) around 0 0.230 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in y 0.230 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.230 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in y 0.230 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 0.230 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.230 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.230 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of (+ x y) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of 1 in y 0.231 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in x 0.231 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.231 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in x 0.231 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.231 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.231 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.231 * [taylor]: Taking taylor expansion of 1 in x 0.231 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (+ x y) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of 1 in x 0.232 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in x 0.233 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.233 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in x 0.233 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.233 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.233 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.233 * [taylor]: Taking taylor expansion of 1 in x 0.233 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (+ x y) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of 1 in x 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.240 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in (x y) around 0 0.240 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.240 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.240 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.240 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.240 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.240 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.240 * [taylor]: Taking taylor expansion of 1 in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.240 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of 1 in y 0.242 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.242 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.242 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.242 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.242 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.242 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.242 * [taylor]: Taking taylor expansion of 1 in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.242 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of 1 in x 0.245 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.245 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.245 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.245 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.245 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.245 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.245 * [taylor]: Taking taylor expansion of 1 in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.245 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of 1 in x 0.248 * [taylor]: Taking taylor expansion of 1 in y 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.273 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in (x y) around 0 0.273 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.273 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.273 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.273 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.273 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.273 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.273 * [taylor]: Taking taylor expansion of 1 in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.273 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.275 * [taylor]: Taking taylor expansion of 1 in y 0.275 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.275 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.275 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.275 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.275 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.275 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.275 * [taylor]: Taking taylor expansion of 1 in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.275 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of 1 in x 0.278 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.278 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.278 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.278 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.278 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.278 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.278 * [taylor]: Taking taylor expansion of 1 in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.278 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of 1 in x 0.281 * [taylor]: Taking taylor expansion of 1 in y 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.296 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.301 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.301 * [approximate]: Taking taylor expansion of (log1p (/ x (+ x y))) in (x y) around 0 0.301 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 0.301 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.302 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 0.302 * [taylor]: Taking taylor expansion of 1 in y 0.302 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.302 * [taylor]: Taking taylor expansion of x in y 0.302 * [taylor]: Taking taylor expansion of (+ x y) in y 0.302 * [taylor]: Taking taylor expansion of x in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.302 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.302 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.302 * [taylor]: Taking taylor expansion of 1 in x 0.302 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (+ x y) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.303 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.303 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.303 * [taylor]: Taking taylor expansion of 1 in x 0.303 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (+ x y) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of (/ -3/2 (pow y 2)) in y 0.306 * [taylor]: Taking taylor expansion of -3/2 in y 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.309 * [approximate]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.309 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.309 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.309 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.309 * [taylor]: Taking taylor expansion of 1 in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.309 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 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 x) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.310 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.310 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.310 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.310 * [taylor]: Taking taylor expansion of 1 in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.310 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.313 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.313 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.313 * [taylor]: Taking taylor expansion of 1 in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.313 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.313 * [taylor]: Taking taylor expansion of y in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (log 2) in y 0.315 * [taylor]: Taking taylor expansion of 2 in y 0.317 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.317 * [taylor]: Taking taylor expansion of -1/2 in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.322 * [taylor]: Taking taylor expansion of 3/8 in y 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (/ -7/24 (pow y 3)) in y 0.329 * [taylor]: Taking taylor expansion of -7/24 in y 0.329 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.335 * [approximate]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.335 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.335 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.335 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.335 * [taylor]: Taking taylor expansion of 1 in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.335 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.336 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.336 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.336 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.336 * [taylor]: Taking taylor expansion of 1 in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.336 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.338 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.338 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.338 * [taylor]: Taking taylor expansion of 1 in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.339 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (log 2) in y 0.341 * [taylor]: Taking taylor expansion of 2 in y 0.343 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.343 * [taylor]: Taking taylor expansion of -1/2 in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.352 * [taylor]: Taking taylor expansion of 3/8 in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (/ -7/24 (pow y 3)) in y 0.361 * [taylor]: Taking taylor expansion of -7/24 in y 0.361 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.366 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.366 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.366 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.366 * [taylor]: Taking taylor expansion of x in y 0.366 * [taylor]: Taking taylor expansion of (+ x y) in y 0.366 * [taylor]: Taking taylor expansion of x in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (+ x y) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (+ x y) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.371 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.377 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.377 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.377 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.378 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.380 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of 1 in y 0.383 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.391 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.391 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.391 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.391 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.393 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of 1 in y 0.396 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.403 * * * [progress]: simplifying candidates 0.404 * [simplify]: Simplifying using # : (exp (log1p (/ x (+ x y)))) (expm1 (expm1 (log1p (/ x (+ x y))))) (log1p (expm1 (log1p (/ x (+ x y))))) (log (expm1 (log1p (/ x (+ x y))))) (exp (expm1 (log1p (/ x (+ x y))))) (* (cbrt (expm1 (log1p (/ x (+ x y))))) (cbrt (expm1 (log1p (/ x (+ x y)))))) (cbrt (expm1 (log1p (/ x (+ x y))))) (* (* (expm1 (log1p (/ x (+ x y)))) (expm1 (log1p (/ x (+ x y))))) (expm1 (log1p (/ x (+ x y))))) (sqrt (expm1 (log1p (/ x (+ x y))))) (sqrt (expm1 (log1p (/ x (+ x y))))) (+ 1 (/ x (+ x y))) (expm1 (log1p (/ x (+ x y)))) (log1p (log1p (/ x (+ x y)))) (log (log1p (/ x (+ x y)))) (exp (log1p (/ x (+ x y)))) (* (cbrt (log1p (/ x (+ x y)))) (cbrt (log1p (/ x (+ x y))))) (cbrt (log1p (/ x (+ x y)))) (* (* (log1p (/ x (+ x y))) (log1p (/ x (+ x y)))) (log1p (/ x (+ x y)))) (sqrt (log1p (/ x (+ x y)))) (sqrt (log1p (/ x (+ x y)))) (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 1 1 0 (log 2) (log 2) 0 0 0 0.408 * * [simplify]: iteration 0 : 144 enodes (cost 250 ) 0.411 * * [simplify]: iteration 1 : 426 enodes (cost 229 ) 0.417 * * [simplify]: iteration 2 : 1102 enodes (cost 229 ) 0.436 * * [simplify]: iteration 3 : 3875 enodes (cost 229 ) 0.487 * * [simplify]: iteration 4 : 5001 enodes (cost 229 ) 0.489 * [simplify]: Simplified to: (exp (log1p (/ x (+ x y)))) (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (* (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))) (+ 1 (/ x (+ x y))) (/ x (+ x y)) (log1p (log1p (/ x (+ x y)))) (log (log1p (/ x (+ x y)))) (exp (log1p (/ x (+ x y)))) (* (cbrt (log1p (/ x (+ x y)))) (cbrt (log1p (/ x (+ x y))))) (cbrt (log1p (/ x (+ x y)))) (pow (log1p (/ x (+ x y))) 3) (sqrt (log1p (/ x (+ x y)))) (sqrt (log1p (/ x (+ x y)))) (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 1 1 0 (log 2) (log 2) 0 0 0 0.489 * * * [progress]: adding candidates to table 0.621 * * [progress]: iteration 3 / 4 0.621 * * * [progress]: picking best candidate 0.623 * * * * [pick]: Picked # 0.623 * * * [progress]: localizing error 0.630 * * * [progress]: generating rewritten candidates 0.630 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.639 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.640 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.641 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.653 * * * [progress]: generating series expansions 0.653 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.653 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.653 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.653 * [taylor]: Taking taylor expansion of (+ x y) in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (+ x y) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (+ x y) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.661 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.672 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.672 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.672 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.672 * [taylor]: Taking taylor expansion of x in y 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.672 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.672 * [taylor]: Taking taylor expansion of x in y 0.673 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.673 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.673 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.673 * [taylor]: Taking taylor expansion of y in x 0.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.676 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.676 * [taylor]: Taking taylor expansion of y in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of 1 in y 0.681 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.681 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.693 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.693 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.693 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.693 * [taylor]: Taking taylor expansion of x in y 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.693 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.694 * [taylor]: Taking taylor expansion of x in y 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 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.696 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.696 * [taylor]: Taking taylor expansion of y in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of 1 in y 0.699 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.699 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.703 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.703 * [taylor]: Taking taylor expansion of y in y 0.706 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.707 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in (x y) around 0 0.707 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in y 0.707 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.707 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in y 0.707 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 0.707 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.707 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 0.707 * [taylor]: Taking taylor expansion of 1 in y 0.707 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.707 * [taylor]: Taking taylor expansion of x in y 0.707 * [taylor]: Taking taylor expansion of (+ x y) in y 0.707 * [taylor]: Taking taylor expansion of x in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.708 * [taylor]: Taking taylor expansion of 1 in y 0.708 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in x 0.708 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.708 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in x 0.708 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.708 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.708 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.708 * [taylor]: Taking taylor expansion of 1 in x 0.708 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (+ x y) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.710 * [taylor]: Taking taylor expansion of 1 in x 0.710 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in x 0.710 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.710 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in x 0.710 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.710 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.710 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.710 * [taylor]: Taking taylor expansion of 1 in x 0.710 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of (+ x y) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of y in x 0.711 * [taylor]: Taking taylor expansion of 1 in x 0.711 * [taylor]: Taking taylor expansion of 0 in y 0.712 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.714 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.714 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.714 * [taylor]: Taking taylor expansion of y in y 0.717 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in (x y) around 0 0.717 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.717 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.717 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.717 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.718 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.718 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.718 * [taylor]: Taking taylor expansion of 1 in y 0.718 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.718 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.718 * [taylor]: Taking taylor expansion of x in y 0.718 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.718 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.718 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.718 * [taylor]: Taking taylor expansion of x in y 0.719 * [taylor]: Taking taylor expansion of 1 in y 0.719 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.719 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.719 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.719 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.719 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.719 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.719 * [taylor]: Taking taylor expansion of 1 in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.719 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.719 * [taylor]: Taking taylor expansion of y in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of 1 in x 0.722 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.722 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.722 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.722 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.722 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.722 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.722 * [taylor]: Taking taylor expansion of 1 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 0.725 * [taylor]: Taking taylor expansion of 1 in x 0.726 * [taylor]: Taking taylor expansion of 1 in y 0.728 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.741 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.746 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in (x y) around 0 0.746 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.746 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.747 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.747 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.747 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.747 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.747 * [taylor]: Taking taylor expansion of 1 in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.747 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.747 * [taylor]: Taking taylor expansion of x in y 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.747 * [taylor]: Taking taylor expansion of y in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.747 * [taylor]: Taking taylor expansion of x in y 0.748 * [taylor]: Taking taylor expansion of 1 in y 0.748 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.748 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.748 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.749 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.749 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.749 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.749 * [taylor]: Taking taylor expansion of 1 in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.749 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.749 * [taylor]: Taking taylor expansion of y in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of 1 in x 0.751 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.751 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.751 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.751 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.752 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.752 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.752 * [taylor]: Taking taylor expansion of 1 in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.752 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.752 * [taylor]: Taking taylor expansion of y in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of 1 in x 0.755 * [taylor]: Taking taylor expansion of 1 in y 0.757 * [taylor]: Taking taylor expansion of (- (/ 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 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.762 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.770 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.770 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.770 * [taylor]: Taking taylor expansion of y in y 0.780 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.780 * [approximate]: Taking taylor expansion of (log1p (/ x (+ x y))) in (x y) around 0 0.780 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 0.780 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.780 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 0.780 * [taylor]: Taking taylor expansion of 1 in y 0.780 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.780 * [taylor]: Taking taylor expansion of x in y 0.780 * [taylor]: Taking taylor expansion of (+ x y) in y 0.780 * [taylor]: Taking taylor expansion of x in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.781 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.781 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.781 * [taylor]: Taking taylor expansion of 1 in x 0.781 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of (+ x y) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of y in x 0.781 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.781 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.782 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.782 * [taylor]: Taking taylor expansion of 1 in x 0.782 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (+ x y) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of y in x 0.782 * [taylor]: Taking taylor expansion of 0 in y 0.783 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of (/ -3/2 (pow y 2)) in y 0.785 * [taylor]: Taking taylor expansion of -3/2 in y 0.785 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.787 * [approximate]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.787 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.788 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.788 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.788 * [taylor]: Taking taylor expansion of 1 in y 0.788 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.788 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.788 * [taylor]: Taking taylor expansion of x in y 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.788 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.788 * [taylor]: Taking taylor expansion of x in y 0.789 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.789 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.789 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.789 * [taylor]: Taking taylor expansion of 1 in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.789 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.791 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.791 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.791 * [taylor]: Taking taylor expansion of 1 in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.791 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.791 * [taylor]: Taking taylor expansion of y in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of (log 2) in y 0.793 * [taylor]: Taking taylor expansion of 2 in y 0.796 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.796 * [taylor]: Taking taylor expansion of -1/2 in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.800 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.800 * [taylor]: Taking taylor expansion of 3/8 in y 0.800 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.800 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of (/ -7/24 (pow y 3)) in y 0.808 * [taylor]: Taking taylor expansion of -7/24 in y 0.808 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.813 * [approximate]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.813 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.813 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.813 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.813 * [taylor]: Taking taylor expansion of 1 in y 0.813 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.813 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.813 * [taylor]: Taking taylor expansion of x in y 0.813 * [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 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.815 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.815 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.815 * [taylor]: Taking taylor expansion of 1 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 0.817 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.817 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.817 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.817 * [taylor]: Taking taylor expansion of 1 in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.817 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.817 * [taylor]: Taking taylor expansion of y in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (log 2) in y 0.819 * [taylor]: Taking taylor expansion of 2 in y 0.821 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.822 * [taylor]: Taking taylor expansion of -1/2 in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.826 * [taylor]: Taking taylor expansion of 3/8 in y 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.826 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of (/ -7/24 (pow y 3)) in y 0.834 * [taylor]: Taking taylor expansion of -7/24 in y 0.834 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.839 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.839 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 0.839 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.839 * [taylor]: Taking taylor expansion of (+ x y) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.839 * [taylor]: Taking taylor expansion of (+ x y) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.839 * [taylor]: Taking taylor expansion of (+ x y) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.840 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.843 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.850 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.850 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.850 * [taylor]: Taking taylor expansion of x in y 0.851 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.851 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 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 0.852 * [taylor]: Taking taylor expansion of 1 in y 0.853 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.860 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.864 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.864 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.864 * [taylor]: Taking taylor expansion of -1 in y 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.865 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.865 * [taylor]: Taking taylor expansion of x in y 0.865 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.865 * [taylor]: Taking taylor expansion of -1 in x 0.865 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.865 * [taylor]: Taking taylor expansion of y in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.866 * [taylor]: Taking taylor expansion of -1 in x 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.866 * [taylor]: Taking taylor expansion of y in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of -1 in y 0.868 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.870 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.870 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.870 * [taylor]: Taking taylor expansion of y in y 0.874 * * * [progress]: simplifying candidates 0.875 * [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) (exp (log1p (* x (/ 1 (+ x y))))) (expm1 (expm1 (log1p (* x (/ 1 (+ x y)))))) (log1p (expm1 (log1p (* x (/ 1 (+ x y)))))) (log (expm1 (log1p (* x (/ 1 (+ x y)))))) (exp (expm1 (log1p (* x (/ 1 (+ x y)))))) (* (cbrt (expm1 (log1p (* x (/ 1 (+ x y)))))) (cbrt (expm1 (log1p (* x (/ 1 (+ x y))))))) (cbrt (expm1 (log1p (* x (/ 1 (+ x y)))))) (* (* (expm1 (log1p (* x (/ 1 (+ x y))))) (expm1 (log1p (* x (/ 1 (+ x y)))))) (expm1 (log1p (* x (/ 1 (+ x y)))))) (sqrt (expm1 (log1p (* x (/ 1 (+ x y)))))) (sqrt (expm1 (log1p (* x (/ 1 (+ x y)))))) (+ 1 (* x (/ 1 (+ x y)))) (expm1 (log1p (* x (/ 1 (+ x y))))) (log1p (log1p (* x (/ 1 (+ x y))))) (log (log1p (* x (/ 1 (+ x y))))) (exp (log1p (* x (/ 1 (+ x y))))) (* (cbrt (log1p (* x (/ 1 (+ x y))))) (cbrt (log1p (* x (/ 1 (+ x y)))))) (cbrt (log1p (* x (/ 1 (+ x y))))) (* (* (log1p (* x (/ 1 (+ x y)))) (log1p (* x (/ 1 (+ x y))))) (log1p (* x (/ 1 (+ x y))))) (sqrt (log1p (* x (/ 1 (+ x y))))) (sqrt (log1p (* x (/ 1 (+ x y))))) (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 1 1 0 (log 2) (log 2) 0 0 0 0.880 * * [simplify]: iteration 0 : 254 enodes (cost 475 ) 0.885 * * [simplify]: iteration 1 : 1055 enodes (cost 408 ) 0.901 * * [simplify]: iteration 2 : 3577 enodes (cost 370 ) 0.929 * * [simplify]: iteration 3 : 5001 enodes (cost 370 ) 0.931 * [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 (exp (log1p (* x (/ 1 (+ x y))))) (expm1 (* x (/ 1 (+ x y)))) (log1p (* x (/ 1 (+ x y)))) (- (log x) (log (+ x y))) (exp (* x (/ 1 (+ x y)))) (* (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)))) (+ (/ x (+ x y)) 1) (/ x (+ x y)) (log1p (log1p (* x (/ 1 (+ x y))))) (log (log1p (* x (/ 1 (+ x y))))) (exp (log1p (* x (/ 1 (+ x y))))) (* (cbrt (log1p (* x (/ 1 (+ x y))))) (cbrt (log1p (* x (/ 1 (+ x y)))))) (cbrt (log1p (* x (/ 1 (+ x y))))) (pow (log1p (* x (/ 1 (+ x y)))) 3) (sqrt (log1p (* x (/ 1 (+ x y))))) (sqrt (log1p (* x (/ 1 (+ x y))))) (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 1 1 0 (log 2) (log 2) 0 0 0 0.932 * * * [progress]: adding candidates to table 1.116 * [progress]: [Phase 3 of 3] Extracting. 1.116 * * [regime]: Finding splitpoints for: (# #) 1.116 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 1.116 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# #) 1.126 * * * * [regimes]: Trying to branch on y from (# #) 1.136 * * * * [regimes]: Trying to branch on x from (# #) 1.150 * * * [regime]: Found split indices: #