15.900 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ (+ x y) (* (* x 2.0) y)) 0.017 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.018 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.020 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.021 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.023 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.023 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.045 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.045 * [taylor]: Taking taylor expansion of 0.5 in y 0.045 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.045 * [taylor]: Taking taylor expansion of (+ x y) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (* x y) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.046 * [taylor]: Taking taylor expansion of 0.5 in x 0.046 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.046 * [taylor]: Taking taylor expansion of (+ x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.046 * [taylor]: Taking taylor expansion of 0.5 in x 0.046 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.046 * [taylor]: Taking taylor expansion of (+ x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of 0.5 in y 0.048 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.048 * [taylor]: Taking taylor expansion of 0.5 in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.057 * [taylor]: Taking taylor expansion of 0.5 in y 0.057 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y 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 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (* y x) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.057 * [taylor]: Taking taylor expansion of 0.5 in x 0.057 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* y x) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.058 * [taylor]: Taking taylor expansion of 0.5 in x 0.058 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y 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 0.058 * [taylor]: Taking taylor expansion of (* y x) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.060 * [taylor]: Taking taylor expansion of 0.5 in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of 0.5 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.079 * [taylor]: Taking taylor expansion of -0.5 in y 0.079 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (* y x) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.079 * [taylor]: Taking taylor expansion of -0.5 in x 0.079 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (* y x) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.080 * [taylor]: Taking taylor expansion of -0.5 in x 0.080 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (* y x) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.082 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.082 * [taylor]: Taking taylor expansion of 0.5 in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.085 * [taylor]: Taking taylor expansion of 0.5 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.098 * * * [progress]: simplifying candidates 0.098 * [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))) 0.103 * * [simplify]: iteration 0 : 225 enodes (cost 198 ) 0.109 * * [simplify]: iteration 1 : 956 enodes (cost 161 ) 0.131 * * [simplify]: iteration 2 : 5001 enodes (cost 161 ) 0.132 * [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))) 0.133 * * * [progress]: adding candidates to table 0.182 * * [progress]: iteration 2 / 4 0.182 * * * [progress]: picking best candidate 0.186 * * * * [pick]: Picked # 0.186 * * * [progress]: localizing error 0.193 * * * [progress]: generating rewritten candidates 0.193 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.194 * * * [progress]: generating series expansions 0.194 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.194 * [approximate]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in (y x) around 0 0.194 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in x 0.194 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.194 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.194 * [taylor]: Taking taylor expansion of 0.5 in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.194 * [taylor]: Taking taylor expansion of 0.5 in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.195 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.195 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.195 * [taylor]: Taking taylor expansion of 0.5 in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.195 * [taylor]: Taking taylor expansion of 0.5 in y 0.195 * [taylor]: Taking taylor expansion of x in y 0.195 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.195 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.195 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.196 * [taylor]: Taking taylor expansion of 0.5 in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.196 * [taylor]: Taking taylor expansion of 0.5 in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of 0.5 in x 0.197 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of 0.5 in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of 0 in x 0.201 * [taylor]: Taking taylor expansion of 0 in x 0.204 * [taylor]: Taking taylor expansion of 0 in x 0.204 * [approximate]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in (y x) around 0 0.204 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in x 0.204 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.204 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.204 * [taylor]: Taking taylor expansion of 0.5 in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.205 * [taylor]: Taking taylor expansion of 0.5 in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.205 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.205 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.205 * [taylor]: Taking taylor expansion of 0.5 in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.205 * [taylor]: Taking taylor expansion of 0.5 in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.205 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.205 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.205 * [taylor]: Taking taylor expansion of 0.5 in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.205 * [taylor]: Taking taylor expansion of 0.5 in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.205 * [taylor]: Taking taylor expansion of 0.5 in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of 0.5 in x 0.209 * [taylor]: Taking taylor expansion of 0 in x 0.211 * [taylor]: Taking taylor expansion of 0 in x 0.212 * [approximate]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in (y x) around 0 0.212 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in x 0.212 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.212 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in x 0.212 * [taylor]: Taking taylor expansion of 0.5 in x 0.212 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.212 * [taylor]: Taking taylor expansion of -0.5 in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.212 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.212 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.212 * [taylor]: Taking taylor expansion of 0.5 in y 0.212 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.212 * [taylor]: Taking taylor expansion of -1 in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.212 * [taylor]: Taking taylor expansion of -0.5 in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.212 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.212 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.212 * [taylor]: Taking taylor expansion of 0.5 in y 0.212 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.212 * [taylor]: Taking taylor expansion of -1 in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.212 * [taylor]: Taking taylor expansion of -0.5 in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.213 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.213 * [taylor]: Taking taylor expansion of 0.5 in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.216 * [taylor]: Taking taylor expansion of 0.5 in x 0.219 * [taylor]: Taking taylor expansion of 0 in x 0.222 * [taylor]: Taking taylor expansion of 0 in x 0.223 * * * [progress]: simplifying candidates 0.223 * [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))) 0.226 * * [simplify]: iteration 0 : 30 enodes (cost 74 ) 0.228 * * [simplify]: iteration 1 : 86 enodes (cost 65 ) 0.231 * * [simplify]: iteration 2 : 435 enodes (cost 64 ) 0.243 * * [simplify]: iteration 3 : 1988 enodes (cost 59 ) 0.281 * * [simplify]: iteration 4 : 5001 enodes (cost 59 ) 0.282 * [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)) 0.282 * * * [progress]: adding candidates to table 0.310 * * [progress]: iteration 3 / 4 0.311 * * * [progress]: picking best candidate 0.313 * * * * [pick]: Picked # 0.313 * * * [progress]: localizing error 0.319 * * * [progress]: generating rewritten candidates 0.319 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.331 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.343 * * * [progress]: generating series expansions 0.343 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.343 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.343 * [taylor]: Taking taylor expansion of 0.5 in y 0.343 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.343 * [taylor]: Taking taylor expansion of (+ x y) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (* x y) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.344 * [taylor]: Taking taylor expansion of 0.5 in x 0.344 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.344 * [taylor]: Taking taylor expansion of (+ x y) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (* x y) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.345 * [taylor]: Taking taylor expansion of 0.5 in x 0.345 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.345 * [taylor]: Taking taylor expansion of (+ x y) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (* x y) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of 0.5 in y 0.347 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.347 * [taylor]: Taking taylor expansion of 0.5 in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.360 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.360 * [taylor]: Taking taylor expansion of 0.5 in y 0.360 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.360 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.360 * [taylor]: Taking taylor expansion of x in y 0.360 * [taylor]: Taking taylor expansion of (* y x) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of x in y 0.360 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.360 * [taylor]: Taking taylor expansion of 0.5 in x 0.360 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (* y x) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.361 * [taylor]: Taking taylor expansion of 0.5 in x 0.361 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (* y x) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.363 * [taylor]: Taking taylor expansion of 0.5 in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of 0.5 in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.377 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.377 * [taylor]: Taking taylor expansion of -0.5 in y 0.377 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.377 * [taylor]: Taking taylor expansion of x in y 0.377 * [taylor]: Taking taylor expansion of (* y x) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of x in y 0.377 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.377 * [taylor]: Taking taylor expansion of -0.5 in x 0.377 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (* y x) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.378 * [taylor]: Taking taylor expansion of -0.5 in x 0.378 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (* y x) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.380 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.380 * [taylor]: Taking taylor expansion of 0.5 in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.383 * [taylor]: Taking taylor expansion of 0.5 in y 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.396 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.396 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 0.396 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 0.396 * [taylor]: Taking taylor expansion of 0.5 in y 0.396 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.396 * [taylor]: Taking taylor expansion of (+ x y) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.396 * [taylor]: Taking taylor expansion of 0.5 in x 0.396 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.396 * [taylor]: Taking taylor expansion of (+ x y) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.396 * [taylor]: Taking taylor expansion of 0.5 in x 0.396 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.396 * [taylor]: Taking taylor expansion of (+ x y) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.397 * [taylor]: Taking taylor expansion of 0.5 in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of 0.5 in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.404 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.404 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.404 * [taylor]: Taking taylor expansion of 0.5 in y 0.404 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.404 * [taylor]: Taking taylor expansion of x in y 0.404 * [taylor]: Taking taylor expansion of x in y 0.404 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.404 * [taylor]: Taking taylor expansion of 0.5 in x 0.404 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) 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 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.404 * [taylor]: Taking taylor expansion of 0.5 in x 0.404 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [taylor]: Taking taylor expansion of 0.5 in y 0.409 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.409 * [taylor]: Taking taylor expansion of 0.5 in y 0.409 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.417 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.417 * [taylor]: Taking taylor expansion of 0.5 in y 0.417 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.417 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.417 * [taylor]: Taking taylor expansion of 0.5 in x 0.417 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.418 * [taylor]: Taking taylor expansion of 0.5 in x 0.418 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [taylor]: Taking taylor expansion of 0.5 in y 0.422 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.422 * [taylor]: Taking taylor expansion of 0.5 in y 0.422 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.429 * * * [progress]: simplifying candidates 0.431 * [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) 0.436 * * [simplify]: iteration 0 : 345 enodes (cost 558 ) 0.444 * * [simplify]: iteration 1 : 1350 enodes (cost 499 ) 0.469 * * [simplify]: iteration 2 : 5001 enodes (cost 496 ) 0.474 * [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) 0.474 * * * [progress]: adding candidates to table 0.608 * * [progress]: iteration 4 / 4 0.608 * * * [progress]: picking best candidate 0.609 * * * * [pick]: Picked # 0.609 * * * [progress]: localizing error 0.616 * * * [progress]: generating rewritten candidates 0.616 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.639 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.650 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.670 * * * [progress]: generating series expansions 0.670 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.670 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.670 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.671 * [taylor]: Taking taylor expansion of 0.5 in y 0.671 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.671 * [taylor]: Taking taylor expansion of (+ x y) in y 0.671 * [taylor]: Taking taylor expansion of x in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of (* x y) in y 0.671 * [taylor]: Taking taylor expansion of x in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.671 * [taylor]: Taking taylor expansion of 0.5 in x 0.671 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.671 * [taylor]: Taking taylor expansion of (+ x y) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.671 * [taylor]: Taking taylor expansion of (* x y) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.672 * [taylor]: Taking taylor expansion of 0.5 in x 0.672 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.672 * [taylor]: Taking taylor expansion of (+ x y) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of (* x y) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.673 * [taylor]: Taking taylor expansion of 0.5 in y 0.674 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.674 * [taylor]: Taking taylor expansion of 0.5 in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.676 * [taylor]: Taking taylor expansion of 0 in y 0.679 * [taylor]: Taking taylor expansion of 0 in y 0.682 * [taylor]: Taking taylor expansion of 0 in y 0.683 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.683 * [taylor]: Taking taylor expansion of 0.5 in y 0.683 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.683 * [taylor]: Taking taylor expansion of x in y 0.683 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.683 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.683 * [taylor]: Taking taylor expansion of x in y 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.683 * [taylor]: Taking taylor expansion of 0.5 in x 0.683 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.684 * [taylor]: Taking taylor expansion of 0.5 in x 0.684 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.684 * [taylor]: Taking taylor expansion of y in x 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.684 * [taylor]: Taking taylor expansion of y in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of 0 in y 0.686 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.686 * [taylor]: Taking taylor expansion of 0.5 in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of 0.5 in y 0.691 * [taylor]: Taking taylor expansion of 0 in y 0.695 * [taylor]: Taking taylor expansion of 0 in y 0.704 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [approximate]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.705 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.705 * [taylor]: Taking taylor expansion of -0.5 in y 0.705 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.705 * [taylor]: Taking taylor expansion of x in y 0.705 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.705 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.705 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.705 * [taylor]: Taking taylor expansion of x in y 0.705 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.705 * [taylor]: Taking taylor expansion of -0.5 in x 0.705 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.705 * [taylor]: Taking taylor expansion of y in x 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.705 * [taylor]: Taking taylor expansion of y in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.706 * [taylor]: Taking taylor expansion of -0.5 in x 0.706 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.706 * [taylor]: Taking taylor expansion of y in x 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.706 * [taylor]: Taking taylor expansion of y in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.708 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.708 * [taylor]: Taking taylor expansion of 0.5 in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.710 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.710 * [taylor]: Taking taylor expansion of 0.5 in y 0.713 * [taylor]: Taking taylor expansion of 0 in y 0.719 * [taylor]: Taking taylor expansion of 0 in y 0.724 * [taylor]: Taking taylor expansion of 0 in y 0.724 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.725 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 0.725 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 0.725 * [taylor]: Taking taylor expansion of 0.5 in y 0.725 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.725 * [taylor]: Taking taylor expansion of (+ x y) in y 0.725 * [taylor]: Taking taylor expansion of x in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of x in y 0.725 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.725 * [taylor]: Taking taylor expansion of 0.5 in x 0.725 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.725 * [taylor]: Taking taylor expansion of (+ x y) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of y in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.725 * [taylor]: Taking taylor expansion of 0.5 in x 0.725 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.725 * [taylor]: Taking taylor expansion of (+ x y) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of y in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.725 * [taylor]: Taking taylor expansion of 0.5 in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of 0.5 in y 0.729 * [taylor]: Taking taylor expansion of 0 in y 0.732 * [taylor]: Taking taylor expansion of 0 in y 0.732 * [approximate]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.732 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.732 * [taylor]: Taking taylor expansion of 0.5 in y 0.732 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.732 * [taylor]: Taking taylor expansion of x in y 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.732 * [taylor]: Taking taylor expansion of x in y 0.732 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.732 * [taylor]: Taking taylor expansion of 0.5 in x 0.733 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.733 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.733 * [taylor]: Taking taylor expansion of 0.5 in x 0.733 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.733 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of 0 in y 0.736 * [taylor]: Taking taylor expansion of 0.5 in y 0.737 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.737 * [taylor]: Taking taylor expansion of 0.5 in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.737 * [taylor]: Taking taylor expansion of y in y 0.740 * [taylor]: Taking taylor expansion of 0 in y 0.744 * [taylor]: Taking taylor expansion of 0 in y 0.745 * [approximate]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.745 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.745 * [taylor]: Taking taylor expansion of 0.5 in y 0.745 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.745 * [taylor]: Taking taylor expansion of x in y 0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.745 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.745 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.745 * [taylor]: Taking taylor expansion of x in y 0.745 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.745 * [taylor]: Taking taylor expansion of 0.5 in x 0.745 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.745 * [taylor]: Taking taylor expansion of y in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.746 * [taylor]: Taking taylor expansion of 0.5 in x 0.746 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.746 * [taylor]: Taking taylor expansion of y in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of 0 in y 0.748 * [taylor]: Taking taylor expansion of 0.5 in y 0.750 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.750 * [taylor]: Taking taylor expansion of 0.5 in y 0.750 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.756 * [taylor]: Taking taylor expansion of 0 in y 0.757 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.758 * [approximate]: Taking taylor expansion of (* 2.0 (/ x (+ x y))) in (x y) around 0 0.758 * [taylor]: Taking taylor expansion of (* 2.0 (/ x (+ x y))) in y 0.758 * [taylor]: Taking taylor expansion of 2.0 in y 0.758 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.758 * [taylor]: Taking taylor expansion of x in y 0.758 * [taylor]: Taking taylor expansion of (+ x y) in y 0.758 * [taylor]: Taking taylor expansion of x in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.758 * [taylor]: Taking taylor expansion of (* 2.0 (/ x (+ x y))) in x 0.758 * [taylor]: Taking taylor expansion of 2.0 in x 0.758 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (+ x y) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.758 * [taylor]: Taking taylor expansion of (* 2.0 (/ x (+ x y))) in x 0.758 * [taylor]: Taking taylor expansion of 2.0 in x 0.758 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (+ x y) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.758 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.758 * [taylor]: Taking taylor expansion of 2.0 in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.759 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.759 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.759 * [taylor]: Taking taylor expansion of 2.0 in y 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.763 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.763 * [taylor]: Taking taylor expansion of 2.0 in y 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.764 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.764 * [taylor]: Taking taylor expansion of y in y 0.771 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.771 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.771 * [taylor]: Taking taylor expansion of 2.0 in y 0.771 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.771 * [taylor]: Taking taylor expansion of x in y 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.771 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.772 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.772 * [taylor]: Taking taylor expansion of x in y 0.772 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.772 * [taylor]: Taking taylor expansion of 2.0 in x 0.772 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.772 * [taylor]: Taking taylor expansion of y in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.774 * [taylor]: Taking taylor expansion of 2.0 in x 0.774 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.774 * [taylor]: Taking taylor expansion of y in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of 2.0 in y 0.777 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.777 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.777 * [taylor]: Taking taylor expansion of 2.0 in y 0.777 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.784 * [taylor]: Taking taylor expansion of 2.0 in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.784 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.789 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.789 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.789 * [taylor]: Taking taylor expansion of 2.0 in y 0.789 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.789 * [taylor]: Taking taylor expansion of x in y 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.789 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.789 * [taylor]: Taking taylor expansion of y in y 0.790 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.790 * [taylor]: Taking taylor expansion of x in y 0.790 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.790 * [taylor]: Taking taylor expansion of 2.0 in x 0.790 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.790 * [taylor]: Taking taylor expansion of y in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.792 * [taylor]: Taking taylor expansion of 2.0 in x 0.792 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.792 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.792 * [taylor]: Taking taylor expansion of y in x 0.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of 2.0 in y 0.795 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.795 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.795 * [taylor]: Taking taylor expansion of 2.0 in y 0.795 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.800 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.800 * [taylor]: Taking taylor expansion of 2.0 in y 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.800 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.800 * [taylor]: Taking taylor expansion of y in y 0.805 * * * [progress]: simplifying candidates 0.809 * [simplify]: Simplifying using # : (expm1 (/ (/ 1 (/ (* x 2.0) (+ x y))) y)) (log1p (/ (/ 1 (/ (* x 2.0) (+ x y))) y)) (- (- (- (+ (log x) (log 2.0)) (log (+ x y)))) (log y)) (- (- 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(log (/ (* x 2.0) (+ x y))) (exp (/ (* x 2.0) (+ x y))) (pow (/ (* x 2.0) (+ x y)) 3) (pow (/ (* x 2.0) (+ x y)) 3) (* (cbrt (/ (* x 2.0) (+ x y))) (cbrt (/ (* x 2.0) (+ x y)))) (cbrt (/ (* x 2.0) (+ x y))) (pow (/ (* x 2.0) (+ x y)) 3) (sqrt (/ (* x 2.0) (+ x y))) (sqrt (/ (* x 2.0) (+ x y))) (- (* x 2.0)) (- (+ x y)) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 2.0 (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ 2.0 (sqrt (+ x y))) x (/ 2.0 (+ x y)) x (/ 2.0 (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* x 2.0) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* x 2.0) (sqrt (+ x y))) (* x 2.0) (* x 2.0) (/ (+ x y) 2.0) (/ (* x 2.0) (+ (pow x 3) (pow y 3))) (/ (* x 2.0) (- (* x x) (* y 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 0 0 0.902 * * * [progress]: adding candidates to table 1.218 * [progress]: [Phase 3 of 3] Extracting. 1.218 * * [regime]: Finding splitpoints for: (# # #) 1.218 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.218 * * * * [regimes]: Trying to branch on y from (# # #) 1.233 * * * * [regimes]: Trying to branch on x from (# # #) 1.245 * * * [regime]: Found split indices: #