8.597 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (/ (+ x y) (* (* x 2.0) y)) 0.015 * [simplify]: Sending expressions to egg_math: (/ (+ h0 h1) (* (* h0 h2) h1)) 0.018 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.021 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.023 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.025 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.027 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.027 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.072 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.073 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.073 * [taylor]: Taking taylor expansion of 0.5 in y 0.073 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.073 * [taylor]: Taking taylor expansion of (+ x y) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (* x y) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.074 * [taylor]: Taking taylor expansion of 0.5 in x 0.074 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.074 * [taylor]: Taking taylor expansion of (+ x y) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (* x y) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.074 * [taylor]: Taking taylor expansion of 0.5 in x 0.074 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.074 * [taylor]: Taking taylor expansion of (+ x y) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (* x y) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of 0.5 in y 0.076 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.076 * [taylor]: Taking taylor expansion of 0.5 in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.085 * [taylor]: Taking taylor expansion of 0.5 in y 0.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [taylor]: Taking taylor expansion of (* y x) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.086 * [taylor]: Taking taylor expansion of 0.5 in x 0.086 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (* y x) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.086 * [taylor]: Taking taylor expansion of 0.5 in x 0.086 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (* y x) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.089 * [taylor]: Taking taylor expansion of 0.5 in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of 0.5 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.102 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.102 * [taylor]: Taking taylor expansion of -0.5 in y 0.102 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of (* y x) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.102 * [taylor]: Taking taylor expansion of -0.5 in x 0.102 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (* y x) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.103 * [taylor]: Taking taylor expansion of -0.5 in x 0.103 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (* y x) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.105 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.105 * [taylor]: Taking taylor expansion of 0.5 in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.107 * [taylor]: Taking taylor expansion of 0.5 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.124 * * * [progress]: simplifying candidates 0.125 * [simplify]: Simplifying using # : (expm1 (/ (+ x y) (* (* x 2.0) y))) (log1p (/ (+ x y) (* (* x 2.0) y))) (- (log (+ x y)) (+ (+ (log x) (log 2.0)) (log y))) (- (log (+ x y)) (+ (log (* x 2.0)) (log y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (* (* (/ (+ x y) (* (* x 2.0) y)) (/ (+ x y) (* (* x 2.0) y))) (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (* (* x 2.0) y) (+ (* x x) (- (* y y) (* x y)))) (* (* (* x 2.0) y) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.125 * [simplify]: Sending expressions to egg_math: (expm1 (/ (+ h0 h1) (* (* h0 h2) h1))) (log1p (/ (+ h0 h1) (* (* h0 h2) h1))) (- (log (+ h0 h1)) (+ (+ (log h0) (log h2)) (log h1))) (- (log (+ h0 h1)) (+ (log (* h0 h2)) (log h1))) (- (log (+ h0 h1)) (log (* (* h0 h2) h1))) (log (/ (+ h0 h1) (* (* h0 h2) h1))) (exp (/ (+ h0 h1) (* (* h0 h2) h1))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (* (* h0 h0) h0) (* (* h2 h2) h2)) (* (* h1 h1) h1))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (* (* h0 h2) (* h0 h2)) (* h0 h2)) (* (* h1 h1) h1))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (* (* h0 h2) h1) (* (* h0 h2) h1)) (* (* h0 h2) h1))) (* (cbrt (/ (+ h0 h1) (* (* h0 h2) h1))) (cbrt (/ (+ h0 h1) (* (* h0 h2) h1)))) (cbrt (/ (+ h0 h1) (* (* h0 h2) h1))) (* (* (/ (+ h0 h1) (* (* h0 h2) h1)) (/ (+ h0 h1) (* (* h0 h2) h1))) (/ (+ h0 h1) (* (* h0 h2) h1))) (sqrt (/ (+ h0 h1) (* (* h0 h2) h1))) (sqrt (/ (+ h0 h1) (* (* h0 h2) h1))) (- (+ h0 h1)) (- (* (* h0 h2) h1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* h0 h2)) (/ (cbrt (+ h0 h1)) h1) (/ (sqrt (+ h0 h1)) (* h0 h2)) (/ (sqrt (+ h0 h1)) h1) (/ 1 (* h0 h2)) (/ (+ h0 h1) h1) (/ 1 (* h0 h2)) (/ (+ h0 h1) h1) (/ 1 (* (* h0 h2) h1)) (/ (* (* h0 h2) h1) (+ h0 h1)) (/ (+ h0 h1) (* h0 h2)) (/ (* (* h0 h2) h1) (cbrt (+ h0 h1))) (/ (* (* h0 h2) h1) (sqrt (+ h0 h1))) (/ (* (* h0 h2) h1) (+ h0 h1)) (/ (* (* h0 h2) h1) (+ h0 h1)) (* (* (* h0 h2) h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (* (* h0 h2) h1) (- h0 h1)) (+ (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) (+ (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) (+ (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) 0.130 * * [simplify]: iteration 0 : 225 enodes (cost 198 ) 0.136 * * [simplify]: iteration 1 : 956 enodes (cost 161 ) 0.162 * * [simplify]: iteration 2 : 5001 enodes (cost 161 ) 0.164 * [simplify]: Simplified to: (expm1 (/ (+ x y) (* (* x 2.0) y))) (log1p (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (* (fma y (- y x) (* x x)) x) (* 2.0 y)) (* (* (* x 2.0) y) (- x y)) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) 0.164 * * * [progress]: adding candidates to table 0.222 * * [progress]: iteration 2 / 4 0.222 * * * [progress]: picking best candidate 0.226 * * * * [pick]: Picked # 0.226 * * * [progress]: localizing error 0.235 * * * [progress]: generating rewritten candidates 0.235 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.236 * * * [progress]: generating series expansions 0.236 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.236 * [approximate]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in (y x) around 0 0.236 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in x 0.236 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.236 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.236 * [taylor]: Taking taylor expansion of 0.5 in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.236 * [taylor]: Taking taylor expansion of 0.5 in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.237 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.237 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.237 * [taylor]: Taking taylor expansion of 0.5 in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.237 * [taylor]: Taking taylor expansion of 0.5 in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.238 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.238 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.238 * [taylor]: Taking taylor expansion of 0.5 in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.238 * [taylor]: Taking taylor expansion of 0.5 in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of 0.5 in x 0.240 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of 0.5 in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of 0 in x 0.244 * [taylor]: Taking taylor expansion of 0 in x 0.247 * [taylor]: Taking taylor expansion of 0 in x 0.247 * [approximate]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in (y x) around 0 0.247 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in x 0.247 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.247 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.247 * [taylor]: Taking taylor expansion of 0.5 in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.247 * [taylor]: Taking taylor expansion of 0.5 in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.247 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.247 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.248 * [taylor]: Taking taylor expansion of 0.5 in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.248 * [taylor]: Taking taylor expansion of 0.5 in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.248 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.248 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.248 * [taylor]: Taking taylor expansion of 0.5 in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.248 * [taylor]: Taking taylor expansion of 0.5 in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.248 * [taylor]: Taking taylor expansion of 0.5 in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of 0.5 in x 0.252 * [taylor]: Taking taylor expansion of 0 in x 0.254 * [taylor]: Taking taylor expansion of 0 in x 0.255 * [approximate]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in (y x) around 0 0.255 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in x 0.255 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in x 0.255 * [taylor]: Taking taylor expansion of 0.5 in x 0.255 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.255 * [taylor]: Taking taylor expansion of -1 in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.255 * [taylor]: Taking taylor expansion of -0.5 in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.255 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.255 * [taylor]: Taking taylor expansion of 0.5 in y 0.255 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.255 * [taylor]: Taking taylor expansion of -1 in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.255 * [taylor]: Taking taylor expansion of -0.5 in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.255 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.255 * [taylor]: Taking taylor expansion of 0.5 in y 0.255 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.255 * [taylor]: Taking taylor expansion of -1 in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.256 * [taylor]: Taking taylor expansion of -0.5 in y 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.256 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.256 * [taylor]: Taking taylor expansion of 0.5 in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.259 * [taylor]: Taking taylor expansion of 0.5 in x 0.262 * [taylor]: Taking taylor expansion of 0 in x 0.265 * [taylor]: Taking taylor expansion of 0 in x 0.266 * * * [progress]: simplifying candidates 0.267 * [simplify]: Simplifying using # : (expm1 (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (log1p (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (* 0.5 (/ 1 y)) (log (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (exp (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (* (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (* (* (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.267 * [simplify]: Sending expressions to egg_math: (expm1 (fma h0 (/ 1 h1) (* h0 (/ 1 h2)))) (log1p (fma h0 (/ 1 h1) (* h0 (/ 1 h2)))) (* h0 (/ 1 h1)) (log (fma h0 (/ 1 h1) (* h0 (/ 1 h2)))) (exp (fma h0 (/ 1 h1) (* h0 (/ 1 h2)))) (* (cbrt (fma h0 (/ 1 h1) (* h0 (/ 1 h2)))) (cbrt (fma h0 (/ 1 h1) (* h0 (/ 1 h2))))) (cbrt (fma h0 (/ 1 h1) (* h0 (/ 1 h2)))) (* (* (fma h0 (/ 1 h1) (* h0 (/ 1 h2))) (fma h0 (/ 1 h1) (* h0 (/ 1 h2)))) (fma h0 (/ 1 h1) (* h0 (/ 1 h2)))) (sqrt (fma h0 (/ 1 h1) (* h0 (/ 1 h2)))) (sqrt (fma h0 (/ 1 h1) (* h0 (/ 1 h2)))) (+ (* h0 (/ 1 h1)) (* h0 (/ 1 h2))) (+ (* h0 (/ 1 h1)) (* h0 (/ 1 h2))) (+ (* h0 (/ 1 h1)) (* h0 (/ 1 h2))) 0.270 * * [simplify]: iteration 0 : 30 enodes (cost 74 ) 0.273 * * [simplify]: iteration 1 : 86 enodes (cost 65 ) 0.277 * * [simplify]: iteration 2 : 435 enodes (cost 64 ) 0.291 * * [simplify]: iteration 3 : 1988 enodes (cost 59 ) 0.334 * * [simplify]: iteration 4 : 5001 enodes (cost 59 ) 0.335 * [simplify]: Simplified to: (expm1 (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (log1p (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (/ 0.5 y) (log (fma (/ 0.5 y) 1 (/ 0.5 x))) (exp (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (* (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (pow (fma (/ 0.5 y) 1 (/ 0.5 x)) 3) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (fma (/ 0.5 y) 1 (/ 0.5 x)) (fma (/ 0.5 y) 1 (/ 0.5 x)) (fma (/ 0.5 y) 1 (/ 0.5 x)) 0.335 * * * [progress]: adding candidates to table 0.369 * * [progress]: iteration 3 / 4 0.369 * * * [progress]: picking best candidate 0.372 * * * * [pick]: Picked # 0.372 * * * [progress]: localizing error 0.378 * * * [progress]: generating rewritten candidates 0.378 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.405 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.431 * * * [progress]: generating series expansions 0.432 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.432 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.432 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.432 * [taylor]: Taking taylor expansion of 0.5 in y 0.432 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.432 * [taylor]: Taking taylor expansion of (+ x y) in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of (* x y) in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.433 * [taylor]: Taking taylor expansion of 0.5 in x 0.433 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.433 * [taylor]: Taking taylor expansion of (+ x y) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (* x y) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.433 * [taylor]: Taking taylor expansion of 0.5 in x 0.433 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.433 * [taylor]: Taking taylor expansion of (+ x y) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (* x y) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of 0.5 in y 0.435 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.435 * [taylor]: Taking taylor expansion of 0.5 in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.444 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.444 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.444 * [taylor]: Taking taylor expansion of 0.5 in y 0.444 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.445 * [taylor]: Taking taylor expansion of (* y x) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.445 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.445 * [taylor]: Taking taylor expansion of 0.5 in x 0.445 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.445 * [taylor]: Taking taylor expansion of y in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (* y x) in x 0.445 * [taylor]: Taking taylor expansion of y in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.445 * [taylor]: Taking taylor expansion of 0.5 in x 0.445 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.445 * [taylor]: Taking taylor expansion of y in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (* y x) in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.447 * [taylor]: Taking taylor expansion of 0.5 in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of 0.5 in y 0.452 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.461 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.461 * [taylor]: Taking taylor expansion of -0.5 in y 0.461 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.461 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.461 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of (* y x) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.462 * [taylor]: Taking taylor expansion of -0.5 in x 0.462 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (* y x) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.462 * [taylor]: Taking taylor expansion of -0.5 in x 0.462 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (* y x) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.464 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.464 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.464 * [taylor]: Taking taylor expansion of 0.5 in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.466 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.467 * [taylor]: Taking taylor expansion of 0.5 in y 0.469 * [taylor]: Taking taylor expansion of 0 in y 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.479 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.479 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 0.479 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 0.479 * [taylor]: Taking taylor expansion of 0.5 in y 0.479 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.479 * [taylor]: Taking taylor expansion of (+ x y) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.479 * [taylor]: Taking taylor expansion of 0.5 in x 0.479 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.480 * [taylor]: Taking taylor expansion of (+ x y) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.480 * [taylor]: Taking taylor expansion of 0.5 in x 0.480 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.480 * [taylor]: Taking taylor expansion of (+ x y) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.480 * [taylor]: Taking taylor expansion of 0.5 in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of 0.5 in y 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.487 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.487 * [taylor]: Taking taylor expansion of 0.5 in y 0.487 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.487 * [taylor]: Taking taylor expansion of 0.5 in x 0.487 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.487 * [taylor]: Taking taylor expansion of 0.5 in x 0.488 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [taylor]: Taking taylor expansion of 0.5 in y 0.492 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.492 * [taylor]: Taking taylor expansion of 0.5 in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.499 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.499 * [taylor]: Taking taylor expansion of 0.5 in y 0.499 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.499 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.500 * [taylor]: Taking taylor expansion of 0.5 in x 0.500 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.500 * [taylor]: Taking taylor expansion of 0.5 in x 0.500 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of 0.5 in y 0.505 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.506 * [taylor]: Taking taylor expansion of 0.5 in y 0.506 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.517 * * * [progress]: simplifying candidates 0.518 * [simplify]: Simplifying using # : (expm1 (/ (/ (+ x y) (* x 2.0)) y)) (log1p (/ (/ (+ x y) (* x 2.0)) y)) (- (- (log (+ x y)) (+ (log x) (log 2.0))) (log y)) (- (- (log (+ x y)) (log (* x 2.0))) (log y)) (- (log (/ (+ x y) (* x 2.0))) (log y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (exp (/ (/ (+ x y) (* x 2.0)) y)) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* y y) y)) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* y y) y)) (/ (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (* (* y y) y)) (* (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (cbrt (/ (/ (+ x y) (* x 2.0)) y))) (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (* (* (/ (/ (+ x y) (* x 2.0)) y) (/ (/ (+ x y) (* x 2.0)) y)) (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (- (/ (+ x y) (* x 2.0))) (- y) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) 1) (/ (cbrt (/ (+ x y) (* x 2.0))) y) (/ (sqrt (/ (+ x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) 1) (/ (sqrt (/ (+ x y) (* x 2.0))) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (sqrt y)) (/ (/ (cbrt (+ x y)) 2.0) (sqrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) 1) (/ (/ (cbrt (+ x y)) 2.0) y) (/ (/ (sqrt (+ x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2.0) (cbrt y)) (/ (/ (sqrt (+ x y)) x) (sqrt y)) (/ (/ (sqrt (+ x y)) 2.0) (sqrt y)) (/ (/ (sqrt (+ x y)) x) 1) (/ (/ (sqrt (+ x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (+ x y) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (+ x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ 1 1) (/ (/ (+ x y) (* x 2.0)) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ (+ x y) 1) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (+ x y) (* x 2.0))) (/ (/ (+ x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ (/ (+ x y) (* x 2.0)) 1) (/ y (cbrt (/ (+ x y) (* x 2.0)))) (/ y (sqrt (/ (+ x y) (* x 2.0)))) (/ y (/ (cbrt (+ x y)) 2.0)) (/ y (/ (sqrt (+ x y)) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) (* x 2.0))) (/ y (/ 1 (* x 2.0))) (* y (* x 2.0)) (expm1 (/ (+ x y) (* x 2.0))) (log1p (/ (+ x y) (* x 2.0))) (- (log (+ x y)) (+ (log x) (log 2.0))) (- (log (+ x y)) (log (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (exp (/ (+ x y) (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (cbrt (/ (+ x y) (* x 2.0))) (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (- (+ x y)) (- (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (+ x y)) (/ (+ x y) x) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y)) (* (* x 2.0) (+ (* x x) (- (* y y) (* x y)))) (* (* x 2.0) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) 0.519 * [simplify]: Sending expressions to egg_math: (expm1 (/ (/ (+ h0 h1) (* h0 h2)) h1)) (log1p (/ (/ (+ h0 h1) (* h0 h2)) h1)) (- (- (log (+ h0 h1)) (+ (log h0) (log h2))) (log h1)) (- (- (log (+ h0 h1)) (log (* h0 h2))) (log h1)) (- (log (/ (+ h0 h1) (* h0 h2))) (log h1)) (log (/ (/ (+ h0 h1) (* h0 h2)) h1)) (exp (/ (/ (+ h0 h1) (* h0 h2)) h1)) (/ (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (* h0 h0) h0) (* (* h2 h2) h2))) (* (* h1 h1) h1)) (/ (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (* h0 h2) (* h0 h2)) (* h0 h2))) (* (* h1 h1) h1)) (/ (* (* (/ (+ h0 h1) (* h0 h2)) (/ (+ h0 h1) (* h0 h2))) (/ (+ h0 h1) (* h0 h2))) (* (* h1 h1) h1)) (* (cbrt (/ (/ (+ h0 h1) (* h0 h2)) h1)) (cbrt (/ (/ (+ h0 h1) (* h0 h2)) h1))) (cbrt (/ (/ (+ h0 h1) (* h0 h2)) h1)) (* (* (/ (/ (+ h0 h1) (* h0 h2)) h1) (/ (/ (+ h0 h1) (* h0 h2)) h1)) (/ (/ (+ h0 h1) (* h0 h2)) h1)) (sqrt (/ (/ (+ h0 h1) (* h0 h2)) h1)) (sqrt (/ (/ (+ h0 h1) (* h0 h2)) h1)) (- (/ (+ h0 h1) (* h0 h2))) (- h1) (/ (* (cbrt (/ (+ h0 h1) (* h0 h2))) (cbrt (/ (+ h0 h1) (* h0 h2)))) (* (cbrt h1) (cbrt h1))) (/ (cbrt (/ (+ h0 h1) (* h0 h2))) (cbrt h1)) (/ (* (cbrt (/ (+ h0 h1) (* h0 h2))) (cbrt (/ (+ h0 h1) (* h0 h2)))) (sqrt h1)) (/ (cbrt (/ (+ h0 h1) (* h0 h2))) (sqrt h1)) (/ (* (cbrt (/ (+ h0 h1) (* h0 h2))) (cbrt (/ (+ h0 h1) (* h0 h2)))) 1) (/ (cbrt (/ (+ h0 h1) (* h0 h2))) h1) (/ (sqrt (/ (+ h0 h1) (* h0 h2))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (/ (+ h0 h1) (* h0 h2))) (cbrt h1)) (/ (sqrt (/ (+ h0 h1) (* h0 h2))) (sqrt h1)) (/ (sqrt (/ (+ h0 h1) (* h0 h2))) (sqrt h1)) (/ (sqrt (/ (+ h0 h1) (* h0 h2))) 1) (/ (sqrt (/ (+ h0 h1) (* h0 h2))) h1) (/ (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) h0) (* (cbrt h1) (cbrt h1))) (/ (/ (cbrt (+ h0 h1)) h2) (cbrt h1)) (/ (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) h0) (sqrt h1)) (/ (/ (cbrt (+ h0 h1)) h2) (sqrt h1)) (/ (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) h0) 1) (/ (/ (cbrt (+ h0 h1)) h2) h1) (/ (/ (sqrt (+ h0 h1)) h0) (* (cbrt h1) (cbrt h1))) (/ (/ (sqrt (+ h0 h1)) h2) (cbrt h1)) (/ (/ (sqrt (+ h0 h1)) h0) (sqrt h1)) (/ (/ (sqrt (+ h0 h1)) h2) (sqrt h1)) (/ (/ (sqrt (+ h0 h1)) h0) 1) (/ (/ (sqrt (+ h0 h1)) h2) h1) (/ (/ 1 h0) (* (cbrt h1) (cbrt h1))) (/ (/ (+ h0 h1) h2) (cbrt h1)) (/ (/ 1 h0) (sqrt h1)) (/ (/ (+ h0 h1) h2) (sqrt h1)) (/ (/ 1 h0) 1) (/ (/ (+ h0 h1) h2) h1) (/ (/ 1 h0) (* (cbrt h1) (cbrt h1))) (/ (/ (+ h0 h1) h2) (cbrt h1)) (/ (/ 1 h0) (sqrt h1)) (/ (/ (+ h0 h1) h2) (sqrt h1)) (/ (/ 1 h0) 1) (/ (/ (+ h0 h1) h2) h1) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (/ (+ h0 h1) (* h0 h2)) (cbrt h1)) (/ 1 (sqrt h1)) (/ (/ (+ h0 h1) (* h0 h2)) (sqrt h1)) (/ 1 1) (/ (/ (+ h0 h1) (* h0 h2)) h1) (/ (+ h0 h1) (* (cbrt h1) (cbrt h1))) (/ (/ 1 (* h0 h2)) (cbrt h1)) (/ (+ h0 h1) (sqrt h1)) (/ (/ 1 (* h0 h2)) (sqrt h1)) (/ (+ h0 h1) 1) (/ (/ 1 (* h0 h2)) h1) (/ 1 h1) (/ h1 (/ (+ h0 h1) (* h0 h2))) (/ (/ (+ h0 h1) (* h0 h2)) (* (cbrt h1) (cbrt h1))) (/ (/ (+ h0 h1) (* h0 h2)) (sqrt h1)) (/ (/ (+ h0 h1) (* h0 h2)) 1) (/ h1 (cbrt (/ (+ h0 h1) (* h0 h2)))) (/ h1 (sqrt (/ (+ h0 h1) (* h0 h2)))) (/ h1 (/ (cbrt (+ h0 h1)) h2)) (/ h1 (/ (sqrt (+ h0 h1)) h2)) (/ h1 (/ (+ h0 h1) h2)) (/ h1 (/ (+ h0 h1) h2)) (/ h1 (/ (+ h0 h1) (* h0 h2))) (/ h1 (/ 1 (* h0 h2))) (* h1 (* h0 h2)) (expm1 (/ (+ h0 h1) (* h0 h2))) (log1p (/ (+ h0 h1) (* h0 h2))) (- (log (+ h0 h1)) (+ (log h0) (log h2))) (- (log (+ h0 h1)) (log (* h0 h2))) (log (/ (+ h0 h1) (* h0 h2))) (exp (/ (+ h0 h1) (* h0 h2))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (* h0 h0) h0) (* (* h2 h2) h2))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (* h0 h2) (* h0 h2)) (* h0 h2))) (* (cbrt (/ (+ h0 h1) (* h0 h2))) (cbrt (/ (+ h0 h1) (* h0 h2)))) (cbrt (/ (+ h0 h1) (* h0 h2))) (* (* (/ (+ h0 h1) (* h0 h2)) (/ (+ h0 h1) (* h0 h2))) (/ (+ h0 h1) (* h0 h2))) (sqrt (/ (+ h0 h1) (* h0 h2))) (sqrt (/ (+ h0 h1) (* h0 h2))) (- (+ h0 h1)) (- (* h0 h2)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) h0) (/ (cbrt (+ h0 h1)) h2) (/ (sqrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) h2) (/ 1 h0) (/ (+ h0 h1) h2) (/ 1 h0) (/ (+ h0 h1) h2) (/ 1 (* h0 h2)) (/ (* h0 h2) (+ h0 h1)) (/ (+ h0 h1) h0) (/ (* h0 h2) (cbrt (+ h0 h1))) (/ (* h0 h2) (sqrt (+ h0 h1))) (/ (* h0 h2) (+ h0 h1)) (/ (* h0 h2) (+ h0 h1)) (* (* h0 h2) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (* h0 h2) (- h0 h1)) (+ (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) (+ (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) (+ (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) (+ (* h3 (/ h1 h0)) h3) (+ (* h3 (/ h1 h0)) h3) (+ (* h3 (/ h1 h0)) h3) 0.525 * * [simplify]: iteration 0 : 345 enodes (cost 558 ) 0.534 * * [simplify]: iteration 1 : 1350 enodes (cost 499 ) 0.566 * * [simplify]: iteration 2 : 5001 enodes (cost 496 ) 0.569 * [simplify]: Simplified to: (expm1 (/ (/ (+ x y) (* x 2.0)) y)) (log1p (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (exp (/ (/ (+ x y) (* x 2.0)) y)) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (* (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (cbrt (/ (/ (+ x y) (* x 2.0)) y))) (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (- (/ (+ x y) (* x 2.0))) (- y) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (sqrt y)) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (/ (cbrt (/ (+ x y) (* x 2.0))) y) (/ (sqrt (/ (+ x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (sqrt (/ (+ x y) (* x 2.0))) (/ (sqrt (/ (+ x y) (* x 2.0))) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (sqrt y)) (/ (/ (cbrt (+ x y)) 2.0) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (/ (cbrt (+ x y)) 2.0) y) (/ (/ (sqrt (+ x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2.0) (cbrt y)) (/ (/ (sqrt (+ x y)) x) (sqrt y)) (/ (/ (sqrt (+ x y)) 2.0) (sqrt y)) (/ (sqrt (+ x y)) x) (/ (/ (sqrt (+ x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (+ x y) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (+ x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) 1 (/ (/ (+ x y) (* x 2.0)) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (+ x y) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (+ x y) (* x 2.0))) (/ (/ (+ x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ (+ x y) (* x 2.0)) (/ y (cbrt (/ (+ x y) (* x 2.0)))) (/ y (sqrt (/ (+ x y) (* x 2.0)))) (/ y (/ (cbrt (+ x y)) 2.0)) (/ y (/ (sqrt (+ x y)) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) (* x 2.0))) (* y (* x 2.0)) (* y (* x 2.0)) (expm1 (/ (+ x y) (* x 2.0))) (log1p (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (exp (/ (+ x y) (* x 2.0))) (pow (/ (+ x y) (* x 2.0)) 3) (pow (/ (+ x y) (* x 2.0)) 3) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (cbrt (/ (+ x y) (* x 2.0))) (pow (/ (+ x y) (* x 2.0)) 3) (sqrt (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (- (+ x y)) (- (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (+ x y)) (/ (+ x y) x) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y)) (* (* (fma y (- y x) (* x x)) 2.0) x) (* (* x 2.0) (- x y)) (fma 0.5 (/ 1 y) (/ 0.5 x)) (fma 0.5 (/ 1 y) (/ 0.5 x)) (fma 0.5 (/ 1 y) (/ 0.5 x)) (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5) 0.569 * * * [progress]: adding candidates to table 0.736 * * [progress]: iteration 4 / 4 0.736 * * * [progress]: picking best candidate 0.738 * * * * [pick]: Picked # 0.738 * * * [progress]: localizing error 0.745 * * * [progress]: generating rewritten candidates 0.745 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.789 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.897 * * * [progress]: generating series expansions 0.897 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.897 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.897 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.897 * [taylor]: Taking taylor expansion of 0.5 in y 0.897 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.897 * [taylor]: Taking taylor expansion of (+ x y) in y 0.897 * [taylor]: Taking taylor expansion of x in y 0.897 * [taylor]: Taking taylor expansion of y in y 0.897 * [taylor]: Taking taylor expansion of (* x y) in y 0.897 * [taylor]: Taking taylor expansion of x in y 0.897 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.898 * [taylor]: Taking taylor expansion of 0.5 in x 0.898 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.898 * [taylor]: Taking taylor expansion of (+ x y) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of y in x 0.898 * [taylor]: Taking taylor expansion of (* x y) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of y in x 0.899 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.899 * [taylor]: Taking taylor expansion of 0.5 in x 0.899 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.899 * [taylor]: Taking taylor expansion of (+ x y) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of y in x 0.899 * [taylor]: Taking taylor expansion of (* x y) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of y in x 0.900 * [taylor]: Taking taylor expansion of 0.5 in y 0.901 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.901 * [taylor]: Taking taylor expansion of 0.5 in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of 0 in y 0.906 * [taylor]: Taking taylor expansion of 0 in y 0.910 * [taylor]: Taking taylor expansion of 0 in y 0.910 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.910 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.910 * [taylor]: Taking taylor expansion of 0.5 in y 0.910 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.911 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.911 * [taylor]: Taking taylor expansion of x in y 0.911 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.911 * [taylor]: Taking taylor expansion of 0.5 in x 0.911 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.911 * [taylor]: Taking taylor expansion of y in x 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.911 * [taylor]: Taking taylor expansion of y in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.912 * [taylor]: Taking taylor expansion of 0.5 in x 0.912 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of 0 in y 0.914 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.914 * [taylor]: Taking taylor expansion of 0.5 in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.916 * [taylor]: Taking taylor expansion of 0.5 in y 0.919 * [taylor]: Taking taylor expansion of 0 in y 0.924 * [taylor]: Taking taylor expansion of 0 in y 0.929 * [taylor]: Taking taylor expansion of 0 in y 0.929 * [approximate]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.929 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.929 * [taylor]: Taking taylor expansion of -0.5 in y 0.929 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.929 * [taylor]: Taking taylor expansion of x in y 0.929 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.930 * [taylor]: Taking taylor expansion of -0.5 in x 0.930 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.930 * [taylor]: Taking taylor expansion of -0.5 in x 0.930 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of 0 in y 0.932 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.933 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.933 * [taylor]: Taking taylor expansion of 0.5 in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.935 * [taylor]: Taking taylor expansion of 0.5 in y 0.938 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [taylor]: Taking taylor expansion of 0 in y 0.948 * [taylor]: Taking taylor expansion of 0 in y 0.949 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.949 * [approximate]: Taking taylor expansion of (* 2.0 (/ y (+ x y))) in (y x) around 0 0.949 * [taylor]: Taking taylor expansion of (* 2.0 (/ y (+ x y))) in x 0.949 * [taylor]: Taking taylor expansion of 2.0 in x 0.949 * [taylor]: Taking taylor expansion of (/ y (+ x y)) in x 0.949 * [taylor]: Taking taylor expansion of y in x 0.949 * [taylor]: Taking taylor expansion of (+ x y) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of y in x 0.949 * [taylor]: Taking taylor expansion of (* 2.0 (/ y (+ x y))) in y 0.949 * [taylor]: Taking taylor expansion of 2.0 in y 0.949 * [taylor]: Taking taylor expansion of (/ y (+ x y)) in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of (+ x y) in y 0.949 * [taylor]: Taking taylor expansion of x in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of (* 2.0 (/ y (+ x y))) in y 0.949 * [taylor]: Taking taylor expansion of 2.0 in y 0.949 * [taylor]: Taking taylor expansion of (/ y (+ x y)) in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of (+ x y) in y 0.949 * [taylor]: Taking taylor expansion of x in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.949 * [taylor]: Taking taylor expansion of 2.0 in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2)))) in x 0.951 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.951 * [taylor]: Taking taylor expansion of 2.0 in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 3))) in x 0.962 * [taylor]: Taking taylor expansion of 2.0 in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.962 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.970 * [approximate]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.970 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.970 * [taylor]: Taking taylor expansion of 2.0 in x 0.970 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.970 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.970 * [taylor]: Taking taylor expansion of y in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.971 * [taylor]: Taking taylor expansion of 2.0 in y 0.971 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.971 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.971 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.971 * [taylor]: Taking taylor expansion of x in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.973 * [taylor]: Taking taylor expansion of 2.0 in y 0.973 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.973 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.973 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.973 * [taylor]: Taking taylor expansion of x in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.975 * [taylor]: Taking taylor expansion of 2.0 in x 0.976 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 x))) in x 0.977 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.977 * [taylor]: Taking taylor expansion of 2.0 in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.981 * [taylor]: Taking taylor expansion of 2.0 in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.981 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.986 * [approximate]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.987 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.987 * [taylor]: Taking taylor expansion of 2.0 in x 0.987 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.987 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.987 * [taylor]: Taking taylor expansion of 2.0 in y 0.987 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.988 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.988 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.988 * [taylor]: Taking taylor expansion of x in y 0.988 * [taylor]: Taking taylor expansion of y in y 0.990 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.990 * [taylor]: Taking taylor expansion of 2.0 in y 0.990 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.990 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.990 * [taylor]: Taking taylor expansion of x in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.992 * [taylor]: Taking taylor expansion of 2.0 in x 0.994 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 x))) in x 0.994 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.994 * [taylor]: Taking taylor expansion of 2.0 in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.998 * [taylor]: Taking taylor expansion of 2.0 in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.998 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.998 * [taylor]: Taking taylor expansion of x in x 1.004 * * * [progress]: simplifying candidates 1.021 * [simplify]: Simplifying using # : (expm1 (/ (/ 1 x) (/ y (/ (+ x y) 2.0)))) (log1p (/ (/ 1 x) (/ y (/ (+ x y) 2.0)))) (- (- (log x)) (- (log y) (- (log (+ x y)) (log 2.0)))) (- (- (log x)) (- (log y) (log (/ (+ x y) 2.0)))) (- (- (log x)) (log (/ y (/ (+ x y) 2.0)))) (- (- 0 (log x)) (- (log y) (- (log (+ x y)) (log 2.0)))) (- (- 0 (log x)) (- (log y) (log (/ (+ x y) 2.0)))) (- (- 0 (log x)) (log (/ y (/ (+ x y) 2.0)))) (- (- (log 1) (log x)) (- (log y) (- (log (+ x y)) (log 2.0)))) (- (- (log 1) (log x)) (- (log y) (log (/ (+ x y) 2.0)))) (- (- (log 1) (log x)) (log (/ y (/ (+ x y) 2.0)))) (- (log (/ 1 x)) (- (log y) (- (log (+ x y)) (log 2.0)))) (- (log (/ 1 x)) (- (log y) (log (/ (+ x y) 2.0)))) (- (log (/ 1 x)) (log (/ y (/ (+ x y) 2.0)))) (log (/ (/ 1 x) (/ y (/ (+ x y) 2.0)))) (exp (/ (/ 1 x) (/ y (/ (+ x y) 2.0)))) (/ (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* y y) y) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* 2.0 2.0) 2.0)))) (/ (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* y y) y) (* (* (/ (+ x y) 2.0) (/ (+ x y) 2.0)) (/ (+ x y) 2.0)))) (/ (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0))) (/ y (/ (+ x y) 2.0)))) (/ (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* y y) y) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* 2.0 2.0) 2.0)))) (/ (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* y y) y) (* (* (/ (+ x y) 2.0) (/ (+ x y) 2.0)) (/ (+ x y) 2.0)))) (/ (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0))) (/ y (/ (+ x y) 2.0)))) (* (cbrt (/ (/ 1 x) (/ y (/ (+ x y) 2.0)))) (cbrt (/ (/ 1 x) (/ y (/ (+ x y) 2.0))))) (cbrt (/ (/ 1 x) (/ y (/ (+ x y) 2.0)))) (* (* (/ (/ 1 x) (/ y (/ (+ x y) 2.0))) (/ (/ 1 x) (/ y (/ (+ x y) 2.0)))) (/ (/ 1 x) (/ y (/ (+ x y) 2.0)))) (sqrt (/ (/ 1 x) (/ y (/ (+ x y) 2.0)))) (sqrt (/ (/ 1 x) (/ y (/ (+ x y) 2.0)))) (- (/ 1 x)) (- (/ y (/ (+ x y) 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (* (cbrt (/ y (/ (+ x y) 2.0))) (cbrt (/ y (/ (+ x y) 2.0))))) (/ (cbrt (/ 1 x)) (cbrt (/ y (/ (+ x y) 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (sqrt (/ y (/ (+ x y) 2.0)))) (/ (cbrt (/ 1 x)) (sqrt (/ y (/ (+ x y) 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ (+ x y) 2.0)) (cbrt (/ (+ x y) 2.0))))) (/ (cbrt (/ 1 x)) (/ (cbrt y) (cbrt (/ (+ x y) 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (* (cbrt y) (cbrt y)) (sqrt (/ (+ x y) 2.0)))) (/ (cbrt (/ 1 x)) (/ (cbrt y) (sqrt (/ (+ x y) 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (/ 1 x)) (/ (cbrt y) (/ (cbrt (+ x y)) (cbrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2.0)))) (/ (cbrt (/ 1 x)) (/ (cbrt y) (/ (cbrt (+ x y)) (sqrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1))) (/ (cbrt (/ 1 x)) (/ (cbrt y) (/ (cbrt (+ x y)) 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt (+ x y)) (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (/ 1 x)) (/ (cbrt y) (/ (sqrt (+ x y)) (cbrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt (+ x y)) (sqrt 2.0)))) (/ (cbrt (/ 1 x)) (/ (cbrt y) (/ (sqrt (+ x y)) (sqrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt (+ x y)) 1))) (/ (cbrt (/ 1 x)) (/ (cbrt y) (/ (sqrt (+ x y)) 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (/ 1 x)) (/ (cbrt y) (/ (+ x y) (cbrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (* (cbrt y) (cbrt y)) (/ 1 (sqrt 2.0)))) (/ (cbrt (/ 1 x)) (/ (cbrt y) (/ (+ x y) (sqrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (* (cbrt y) (cbrt y)) (/ 1 1))) (/ (cbrt (/ 1 x)) (/ (cbrt y) (/ (+ x y) 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (/ 1 x)) (/ (cbrt y) (/ (+ x y) (cbrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (* (cbrt y) (cbrt y)) (/ 1 (sqrt 2.0)))) (/ (cbrt (/ 1 x)) (/ (cbrt y) (/ (+ x y) (sqrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (* (cbrt y) (cbrt y)) (/ 1 1))) (/ (cbrt (/ 1 x)) (/ (cbrt y) (/ (+ x y) 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt (/ 1 x)) (/ (cbrt y) (/ (+ x y) 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (* (cbrt y) (cbrt y)) (+ x y))) (/ (cbrt (/ 1 x)) (/ (cbrt y) (/ 1 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (sqrt y) (* (cbrt (/ (+ x y) 2.0)) (cbrt (/ (+ x y) 2.0))))) (/ (cbrt (/ 1 x)) (/ (sqrt y) (cbrt (/ (+ x y) 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (sqrt y) (sqrt (/ (+ x y) 2.0)))) (/ (cbrt (/ 1 x)) (/ (sqrt y) (sqrt (/ (+ x y) 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (sqrt y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (/ 1 x)) (/ (sqrt y) (/ (cbrt (+ x y)) (cbrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (sqrt y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2.0)))) (/ (cbrt (/ 1 x)) (/ (sqrt y) (/ (cbrt (+ x y)) (sqrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (sqrt y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1))) (/ (cbrt (/ 1 x)) (/ (sqrt y) (/ (cbrt (+ x y)) 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (sqrt y) (/ (sqrt (+ x y)) (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (/ 1 x)) (/ (sqrt y) (/ (sqrt (+ x y)) (cbrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (sqrt y) (/ (sqrt (+ x y)) (sqrt 2.0)))) (/ (cbrt (/ 1 x)) (/ (sqrt y) (/ (sqrt (+ x y)) (sqrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (sqrt y) (/ (sqrt (+ x y)) 1))) (/ (cbrt (/ 1 x)) (/ (sqrt y) (/ (sqrt (+ x y)) 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (sqrt y) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (/ 1 x)) (/ (sqrt y) (/ (+ x y) (cbrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (sqrt y) (/ 1 (sqrt 2.0)))) (/ (cbrt (/ 1 x)) (/ (sqrt y) (/ (+ x y) (sqrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (sqrt y) (/ 1 1))) (/ (cbrt (/ 1 x)) (/ (sqrt y) (/ (+ x y) 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (sqrt y) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (/ 1 x)) (/ (sqrt y) (/ (+ x y) (cbrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (sqrt y) (/ 1 (sqrt 2.0)))) (/ (cbrt (/ 1 x)) (/ (sqrt y) (/ (+ x y) (sqrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (sqrt y) (/ 1 1))) (/ (cbrt (/ 1 x)) (/ (sqrt y) (/ (+ x y) 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (sqrt y) 1)) (/ (cbrt (/ 1 x)) (/ (sqrt y) (/ (+ x y) 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (sqrt y) (+ x y))) (/ (cbrt (/ 1 x)) (/ (sqrt y) (/ 1 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ 1 (* (cbrt (/ (+ x y) 2.0)) (cbrt (/ (+ x y) 2.0))))) (/ (cbrt (/ 1 x)) (/ y (cbrt (/ (+ x y) 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ 1 (sqrt (/ (+ x y) 2.0)))) (/ (cbrt (/ 1 x)) (/ y (sqrt (/ (+ x y) 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (/ 1 x)) (/ y (/ (cbrt (+ x y)) (cbrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2.0)))) (/ (cbrt (/ 1 x)) (/ y (/ (cbrt (+ x y)) (sqrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1))) (/ (cbrt (/ 1 x)) (/ y (/ (cbrt (+ x y)) 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ 1 (/ (sqrt (+ x y)) (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (/ 1 x)) (/ y (/ (sqrt (+ x y)) (cbrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ 1 (/ (sqrt (+ x y)) (sqrt 2.0)))) (/ (cbrt (/ 1 x)) (/ y (/ (sqrt (+ x y)) (sqrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ 1 (/ (sqrt (+ x y)) 1))) (/ (cbrt (/ 1 x)) (/ y (/ (sqrt (+ x y)) 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ 1 (/ 1 (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (/ 1 x)) (/ y (/ (+ x y) (cbrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ 1 (/ 1 (sqrt 2.0)))) (/ (cbrt (/ 1 x)) (/ y (/ (+ x y) (sqrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ 1 (/ 1 1))) (/ (cbrt (/ 1 x)) (/ y (/ (+ x y) 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ 1 (/ 1 (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (/ 1 x)) (/ y (/ (+ x y) (cbrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ 1 (/ 1 (sqrt 2.0)))) (/ (cbrt (/ 1 x)) (/ y (/ (+ x y) (sqrt 2.0)))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ 1 (/ 1 1))) (/ (cbrt (/ 1 x)) (/ y (/ (+ x y) 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ 1 1)) (/ (cbrt (/ 1 x)) (/ y (/ (+ x y) 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ 1 (+ x y))) (/ (cbrt (/ 1 x)) (/ y (/ 1 2.0))) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) 1) (/ (cbrt (/ 1 x)) (/ y (/ (+ x y) 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(/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ (+ x y) 2.0) y) (/ y (+ x y)) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) 0 0 0 1.201 * * * [progress]: adding candidates to table 2.822 * [progress]: [Phase 3 of 3] Extracting. 2.822 * * [regime]: Finding splitpoints for: (# # #) 2.823 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.823 * * * * [regimes]: Trying to branch on y from (# # #) 2.837 * * * * [regimes]: Trying to branch on x from (# # #) 2.856 * * * [regime]: Found split indices: #