7.064 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.017 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.018 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.018 * [simplify]: Simplified to: (/ x (+ x y)) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (+ x y) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (+ x y) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (+ x y) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.037 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.044 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.044 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.044 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.046 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [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 0.048 * [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 0.057 * [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 0.062 * [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 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.072 * * * [progress]: simplifying candidates 0.072 * [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 0.076 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.080 * * [simplify]: iteration 1 : 393 enodes (cost 150 ) 0.087 * * [simplify]: iteration 2 : 1065 enodes (cost 150 ) 0.107 * * [simplify]: iteration 3 : 3830 enodes (cost 150 ) 0.157 * * [simplify]: iteration 4 : 5002 enodes (cost 150 ) 0.158 * [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 0.158 * * * [progress]: adding candidates to table 0.216 * * [progress]: iteration 2 / 4 0.216 * * * [progress]: picking best candidate 0.220 * * * * [pick]: Picked # 0.220 * * * [progress]: localizing error 0.230 * * * [progress]: generating rewritten candidates 0.230 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.230 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.230 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 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 0.237 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.237 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in y 0.237 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 0.237 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.237 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 0.237 * [taylor]: Taking taylor expansion of 1 in y 0.237 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of (+ x y) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [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 0.249 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.249 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.249 * [taylor]: Taking taylor expansion of 1 in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.249 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.249 * [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 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of 1 in x 0.253 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.253 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.253 * [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 0.254 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of 1 in x 0.257 * [taylor]: Taking taylor expansion of 1 in y 0.260 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.273 * [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 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.279 * [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 0.287 * [taylor]: Taking taylor expansion of 1 in x 0.288 * [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 0.295 * [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 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.304 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.308 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.309 * [approximate]: Taking taylor expansion of (log1p (/ x (+ x y))) in (x y) around 0 0.309 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 0.309 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.309 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 0.309 * [taylor]: Taking taylor expansion of 1 in y 0.309 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [taylor]: Taking taylor expansion of (+ x y) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.309 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.309 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.309 * [taylor]: Taking taylor expansion of 1 in x 0.309 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (+ x y) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.310 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.310 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.310 * [taylor]: Taking taylor expansion of 1 in x 0.310 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (+ x y) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of (/ -3/2 (pow y 2)) in y 0.316 * [taylor]: Taking taylor expansion of -3/2 in y 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.320 * [approximate]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.320 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.320 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.320 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.320 * [taylor]: Taking taylor expansion of 1 in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.320 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.321 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.321 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.321 * [taylor]: Taking taylor expansion of 1 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 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.323 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.324 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.324 * [taylor]: Taking taylor expansion of 1 in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.324 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (log 2) in y 0.326 * [taylor]: Taking taylor expansion of 2 in y 0.328 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.328 * [taylor]: Taking taylor expansion of -1/2 in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of 3/8 in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (/ -7/24 (pow y 3)) in y 0.341 * [taylor]: Taking taylor expansion of -7/24 in y 0.341 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.346 * [approximate]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.346 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.347 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.347 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.347 * [taylor]: Taking taylor expansion of 1 in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.347 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.347 * [taylor]: Taking taylor expansion of x in y 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.347 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.348 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.348 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.348 * [taylor]: Taking taylor expansion of 1 in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.348 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.350 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.350 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.350 * [taylor]: Taking taylor expansion of 1 in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.350 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (log 2) in y 0.353 * [taylor]: Taking taylor expansion of 2 in y 0.355 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.355 * [taylor]: Taking taylor expansion of -1/2 in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.359 * [taylor]: Taking taylor expansion of 3/8 in y 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (/ -7/24 (pow y 3)) in y 0.368 * [taylor]: Taking taylor expansion of -7/24 in y 0.368 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.373 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.373 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.373 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of (+ x y) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (+ x y) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (+ x y) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.378 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.385 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.385 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.385 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.385 * [taylor]: Taking taylor expansion of x in y 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.385 * [taylor]: Taking taylor expansion of x in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.386 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.388 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of 1 in y 0.391 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.401 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.401 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.401 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.402 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.402 * [taylor]: Taking taylor expansion of y in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.404 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of 1 in y 0.407 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.414 * * * [progress]: simplifying candidates 0.415 * [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 0.420 * * [simplify]: iteration 0 : 144 enodes (cost 250 ) 0.423 * * [simplify]: iteration 1 : 426 enodes (cost 229 ) 0.429 * * [simplify]: iteration 2 : 1102 enodes (cost 229 ) 0.449 * * [simplify]: iteration 3 : 3875 enodes (cost 229 ) 0.499 * * [simplify]: iteration 4 : 5001 enodes (cost 229 ) 0.501 * [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 0.501 * * * [progress]: adding candidates to table 0.627 * * [progress]: iteration 3 / 4 0.628 * * * [progress]: picking best candidate 0.630 * * * * [pick]: Picked # 0.631 * * * [progress]: localizing error 0.635 * * * [progress]: generating rewritten candidates 0.636 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.646 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.660 * * * [progress]: generating series expansions 0.660 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.660 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.660 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.660 * [taylor]: Taking taylor expansion of x in y 0.660 * [taylor]: Taking taylor expansion of (+ x y) in y 0.661 * [taylor]: Taking taylor expansion of x in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (+ x y) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.661 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (+ x y) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.666 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.666 * [taylor]: Taking taylor expansion of y in y 0.672 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.672 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.672 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) 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 0.673 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.673 * [taylor]: Taking taylor expansion of x in y 0.673 * [taylor]: Taking taylor expansion of x in y 0.673 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.673 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) 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 0.673 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.675 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.675 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.675 * [taylor]: Taking taylor expansion of y in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of 1 in y 0.678 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.686 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.686 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.686 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.686 * [taylor]: Taking taylor expansion of x in y 0.686 * [taylor]: Taking taylor expansion of x in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.686 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.686 * [taylor]: Taking taylor expansion of y in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.688 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of 1 in y 0.691 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.699 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.699 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 0.699 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.699 * [taylor]: Taking taylor expansion of (+ x y) in y 0.699 * [taylor]: Taking taylor expansion of x in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of x in y 0.699 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.699 * [taylor]: Taking taylor expansion of (+ x y) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of y in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.699 * [taylor]: Taking taylor expansion of (+ x y) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of y in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of y in y 0.700 * [taylor]: Taking taylor expansion of 1 in y 0.701 * [taylor]: Taking taylor expansion of 0 in y 0.702 * [taylor]: Taking taylor expansion of 0 in y 0.703 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.703 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.703 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.703 * [taylor]: Taking taylor expansion of y in y 0.703 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.703 * [taylor]: Taking taylor expansion of x in y 0.703 * [taylor]: Taking taylor expansion of x in y 0.703 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.703 * [taylor]: Taking taylor expansion of y in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.703 * [taylor]: Taking taylor expansion of y in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [taylor]: Taking taylor expansion of 1 in y 0.706 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.710 * [taylor]: Taking taylor expansion of 0 in y 0.711 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.711 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.711 * [taylor]: Taking taylor expansion of x in y 0.712 * [taylor]: Taking taylor expansion of x in y 0.712 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of 0 in y 0.714 * [taylor]: Taking taylor expansion of 1 in y 0.715 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of 0 in y 0.722 * [taylor]: Taking taylor expansion of 0 in y 0.723 * * * [progress]: simplifying candidates 0.725 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (+ x y) x))) (log1p (/ 1 (/ (+ x y) x))) (- 1) (- (- (log (+ x y)) (log x))) (- (log (/ (+ x y) x))) (- 0 (- (log (+ x y)) (log x))) (- 0 (log (/ (+ x y) x))) (- (log 1) (- (log (+ x y)) (log x))) (- (log 1) (log (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ (* (* 1 1) 1) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (* (* (/ 1 (/ (+ x y) x)) (/ 1 (/ (+ x y) x))) (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (cbrt 1) (cbrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ x y) x))) (/ (cbrt 1) (sqrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (cbrt 1) (/ (cbrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) 1)) (/ (cbrt 1) (/ (sqrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (sqrt 1) (cbrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (sqrt 1) (/ (cbrt (+ x y)) x)) (/ (sqrt 1) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) 1)) (/ (sqrt 1) (/ (sqrt (+ x y)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ x y)) (cbrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (cbrt (+ x y)) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (cbrt (+ x y)) x)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (cbrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ (sqrt (+ x y)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 1) (/ 1 (/ (+ x y) x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ x y) x)) (/ (/ (+ x y) x) 1) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ x y)) (/ (/ (+ x y) x) (cbrt 1)) (/ (/ (+ x y) x) (sqrt 1)) (/ (/ (+ x y) x) 1) (/ 1 (+ x y)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (- (log (+ x y)) (log x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) 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 y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) 1) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (+ (* x x) (- (* y y) (* x y)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.731 * * [simplify]: iteration 0 : 352 enodes (cost 814 ) 0.738 * * [simplify]: iteration 1 : 1552 enodes (cost 715 ) 0.761 * * [simplify]: iteration 2 : 5001 enodes (cost 625 ) 0.765 * [simplify]: Simplified to: (expm1 (/ 1 (/ (+ x y) x))) (log1p (/ 1 (/ (+ x y) x))) (- 1) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (/ 1 (pow (/ (+ x y) x) 3)) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) x) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (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 y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (sqrt (+ x y)) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (fma x x (* y (- y x)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.765 * * * [progress]: adding candidates to table 0.910 * * [progress]: iteration 4 / 4 0.910 * * * [progress]: picking best candidate 0.911 * * * * [pick]: Picked # 0.911 * * * [progress]: localizing error 0.916 * * * [progress]: generating rewritten candidates 0.916 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.931 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.942 * * * [progress]: generating series expansions 0.942 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.943 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in (y x) around 0 0.943 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in x 0.943 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.943 * [taylor]: Taking taylor expansion of (/ y x) in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of 1 in x 0.943 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.943 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.943 * [taylor]: Taking taylor expansion of (/ y x) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of x in y 0.943 * [taylor]: Taking taylor expansion of 1 in y 0.944 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.944 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.944 * [taylor]: Taking taylor expansion of (/ y x) in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.944 * [taylor]: Taking taylor expansion of x in y 0.944 * [taylor]: Taking taylor expansion of 1 in y 0.944 * [taylor]: Taking taylor expansion of 1 in x 0.944 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.951 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.951 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.951 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.951 * [taylor]: Taking taylor expansion of (/ x y) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of y in x 0.951 * [taylor]: Taking taylor expansion of 1 in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.952 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.952 * [taylor]: Taking taylor expansion of (/ x y) in y 0.952 * [taylor]: Taking taylor expansion of x in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of 1 in y 0.952 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.952 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.952 * [taylor]: Taking taylor expansion of (/ x y) in y 0.952 * [taylor]: Taking taylor expansion of x in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of 1 in y 0.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.953 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.958 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.968 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.968 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.968 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.968 * [taylor]: Taking taylor expansion of (/ x y) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of y in x 0.968 * [taylor]: Taking taylor expansion of 1 in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.968 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.968 * [taylor]: Taking taylor expansion of (/ x y) in y 0.968 * [taylor]: Taking taylor expansion of x in y 0.969 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of 1 in y 0.969 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.969 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.969 * [taylor]: Taking taylor expansion of (/ x y) in y 0.969 * [taylor]: Taking taylor expansion of x in y 0.969 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of 1 in y 0.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.971 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.975 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.982 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.982 * [approximate]: Taking taylor expansion of (+ (/ y x) 1) in (y x) around 0 0.982 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.982 * [taylor]: Taking taylor expansion of (/ y x) in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of 1 in x 0.982 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.982 * [taylor]: Taking taylor expansion of (/ y x) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of x in y 0.982 * [taylor]: Taking taylor expansion of 1 in y 0.983 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.983 * [taylor]: Taking taylor expansion of (/ y x) in y 0.983 * [taylor]: Taking taylor expansion of y in y 0.983 * [taylor]: Taking taylor expansion of x in y 0.983 * [taylor]: Taking taylor expansion of 1 in y 0.983 * [taylor]: Taking taylor expansion of 1 in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of 0 in x 0.984 * [taylor]: Taking taylor expansion of 0 in x 0.985 * [taylor]: Taking taylor expansion of 0 in x 0.986 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (y x) around 0 0.986 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.986 * [taylor]: Taking taylor expansion of (/ x y) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of y in x 0.986 * [taylor]: Taking taylor expansion of 1 in x 0.986 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.986 * [taylor]: Taking taylor expansion of (/ x y) in y 0.986 * [taylor]: Taking taylor expansion of x in y 0.986 * [taylor]: Taking taylor expansion of y in y 0.986 * [taylor]: Taking taylor expansion of 1 in y 0.986 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.986 * [taylor]: Taking taylor expansion of (/ x y) in y 0.986 * [taylor]: Taking taylor expansion of x in y 0.986 * [taylor]: Taking taylor expansion of y in y 0.986 * [taylor]: Taking taylor expansion of 1 in y 0.986 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of 1 in x 0.988 * [taylor]: Taking taylor expansion of 0 in x 0.989 * [taylor]: Taking taylor expansion of 0 in x 0.990 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (y x) around 0 0.990 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.990 * [taylor]: Taking taylor expansion of (/ x y) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of y in x 0.990 * [taylor]: Taking taylor expansion of 1 in x 0.990 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.990 * [taylor]: Taking taylor expansion of (/ x y) in y 0.990 * [taylor]: Taking taylor expansion of x in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.990 * [taylor]: Taking taylor expansion of 1 in y 0.990 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.990 * [taylor]: Taking taylor expansion of (/ x y) in y 0.990 * [taylor]: Taking taylor expansion of x in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.990 * [taylor]: Taking taylor expansion of 1 in y 0.990 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of 1 in x 0.992 * [taylor]: Taking taylor expansion of 0 in x 0.993 * [taylor]: Taking taylor expansion of 0 in x 0.994 * * * [progress]: simplifying candidates 0.994 * [simplify]: Simplifying using # : (expm1 (/ 1 (+ (/ y x) 1))) (log1p (/ 1 (+ (/ y x) 1))) (- 1) (- (log (+ (/ y x) 1))) (- 0 (log (+ (/ y x) 1))) (- (log 1) (log (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (exp (/ 1 (+ (/ y x) 1))) (/ (* (* 1 1) 1) (* (* (+ (/ y x) 1) (+ (/ y x) 1)) (+ (/ y x) 1))) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (* (* (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1))) (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (- 1) (- (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (cbrt 1) (cbrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (/ y x) 1))) (/ (cbrt 1) (sqrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (sqrt 1) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (sqrt 1) (cbrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (/ (+ (/ y x) 1) 1) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 1) (/ (+ (/ y x) 1) (cbrt 1)) (/ (+ (/ y x) 1) (sqrt 1)) (/ (+ (/ y x) 1) 1) (/ 1 (+ (pow (/ y x) 3) (pow 1 3))) (/ 1 (- (* (/ y x) (/ y x)) (* 1 1))) (expm1 (+ (/ y x) 1)) (log1p (+ (/ y x) 1)) (* (exp (/ y x)) (exp 1)) (log (+ (/ y x) 1)) (exp (+ (/ y x) 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1)) (* (* (+ (/ y x) 1) (+ (/ y x) 1)) (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (+ (pow (/ y x) 3) (pow 1 3)) (+ (* (/ y x) (/ y x)) (- (* 1 1) (* (/ y x) 1))) (- (* (/ y x) (/ y x)) (* 1 1)) (- (/ y x) 1) (+ (/ y x) 1) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.999 * * [simplify]: iteration 0 : 153 enodes (cost 274 ) 1.003 * * [simplify]: iteration 1 : 738 enodes (cost 223 ) 1.013 * * [simplify]: iteration 2 : 1635 enodes (cost 223 ) 1.038 * * [simplify]: iteration 3 : 4533 enodes (cost 222 ) 1.171 * * [simplify]: iteration 4 : 5001 enodes (cost 222 ) 1.172 * [simplify]: Simplified to: (expm1 (/ 1 (+ (/ y x) 1))) (log1p (/ 1 (+ (/ y x) 1))) (- 1) (- 0 (log1p (/ y x))) (- 0 (log1p (/ y x))) (- 0 (log1p (/ y x))) (- 0 (log1p (/ y x))) (exp (/ 1 (+ (/ y x) 1))) (pow (/ 1 (+ (/ y x) 1)) 3) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (pow (/ 1 (+ (/ y x) 1)) 3) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (- 1) (- (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (+ (/ y x) 1) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 1 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) (/ 1 (+ (pow (/ y x) 3) 1)) (/ 1 (- (* (/ y x) (/ y x)) 1)) (expm1 (+ (/ y x) 1)) (log1p (+ (/ y x) 1)) (exp (+ (/ y x) 1)) (log1p (/ y x)) (exp (+ (/ y x) 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1)) (pow (+ (/ y x) 1) 3) (sqrt (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (+ (pow (/ y x) 3) 1) (fma (/ y x) (- (/ y x) 1) 1) (- (* (/ y x) (/ y x)) 1) (- (/ y x) 1) (+ (/ y x) 1) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 1.173 * * * [progress]: adding candidates to table 1.278 * [progress]: [Phase 3 of 3] Extracting. 1.278 * * [regime]: Finding splitpoints for: (# #) 1.278 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 1.278 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# #) 1.292 * * * * [regimes]: Trying to branch on y from (# #) 1.303 * * * * [regimes]: Trying to branch on x from (# #) 1.314 * * * [regime]: Found split indices: #