13.177 * [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 ) 0.019 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.021 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.022 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.024 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.024 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.024 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.044 * * * [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 0.045 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.045 * [taylor]: Taking taylor expansion of 0.5 in x 0.045 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.045 * [taylor]: Taking taylor expansion of (+ x y) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (* x y) in x 0.045 * [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 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (* y x) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of x in y 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 0.058 * [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 0.059 * [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 0.063 * [taylor]: Taking taylor expansion of 0.5 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.074 * [taylor]: Taking taylor expansion of -0.5 in y 0.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (* y x) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.075 * [taylor]: Taking taylor expansion of -0.5 in x 0.075 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* y x) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.075 * [taylor]: Taking taylor expansion of -0.5 in x 0.075 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* y x) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.079 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.079 * [taylor]: Taking taylor expansion of 0.5 in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.081 * [taylor]: Taking taylor expansion of 0.5 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.099 * * * [progress]: simplifying candidates 0.099 * [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))) 0.104 * * [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 0.183 * * [progress]: iteration 2 / 4 0.183 * * * [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) 0.193 * * * [progress]: generating series expansions 0.193 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.193 * [approximate]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in (y x) around 0 0.193 * [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 0.194 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 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 y 0.194 * [taylor]: Taking taylor expansion of 0.5 in y 0.194 * [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 0.195 * [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 0.196 * [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 0.204 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.204 * [taylor]: Taking taylor expansion of 0.5 in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.204 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.204 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.204 * [taylor]: Taking taylor expansion of 0.5 in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.204 * [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 0.211 * [approximate]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in (y x) around 0 0.211 * [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 0.224 * [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))) 0.227 * * [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 ) 0.241 * * [simplify]: iteration 3 : 1988 enodes (cost 59 ) 0.278 * * [simplify]: iteration 4 : 5001 enodes (cost 59 ) 0.278 * [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)) 0.278 * * * [progress]: adding candidates to table 0.306 * * [progress]: iteration 3 / 4 0.306 * * * [progress]: picking best candidate 0.307 * * * * [pick]: Picked # 0.307 * * * [progress]: localizing error 0.313 * * * [progress]: generating rewritten candidates 0.313 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.324 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.343 * * * [progress]: generating series expansions 0.343 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.343 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (+ x y))) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (+ x y))) in y 0.343 * [taylor]: Taking taylor expansion of 2.0 in y 0.344 * [taylor]: Taking taylor expansion of (/ (* x y) (+ x 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 (+ 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 (* 2.0 (/ (* x y) (+ x y))) in x 0.344 * [taylor]: Taking taylor expansion of 2.0 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 (* 2.0 (/ (* x y) (+ x y))) in x 0.345 * [taylor]: Taking taylor expansion of 2.0 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 2.0 in y 0.346 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.346 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.346 * [taylor]: Taking taylor expansion of 2.0 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.350 * [taylor]: Taking taylor expansion of 2.0 in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.355 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.355 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.355 * [taylor]: Taking taylor expansion of 2.0 in y 0.355 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.356 * [taylor]: Taking taylor expansion of x in y 0.357 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.357 * [taylor]: Taking taylor expansion of 2.0 in x 0.357 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.362 * [taylor]: Taking taylor expansion of 2.0 in x 0.362 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.362 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.362 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.363 * [taylor]: Taking taylor expansion of 2.0 in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.366 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.366 * [taylor]: Taking taylor expansion of 2.0 in y 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.371 * [taylor]: Taking taylor expansion of 2.0 in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.372 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.379 * [approximate]: Taking taylor expansion of (/ -2.0 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.379 * [taylor]: Taking taylor expansion of (/ -2.0 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.379 * [taylor]: Taking taylor expansion of -2.0 in y 0.379 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (/ -2.0 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.381 * [taylor]: Taking taylor expansion of -2.0 in x 0.381 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (/ -2.0 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.383 * [taylor]: Taking taylor expansion of -2.0 in x 0.383 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.385 * [taylor]: Taking taylor expansion of -2.0 in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.387 * [taylor]: Taking taylor expansion of 2.0 in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.393 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.393 * [taylor]: Taking taylor expansion of 2.0 in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.393 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.400 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.401 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.401 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.401 * [taylor]: Taking taylor expansion of 0.5 in y 0.401 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.401 * [taylor]: Taking taylor expansion of (+ x y) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (* x y) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.401 * [taylor]: Taking taylor expansion of 0.5 in x 0.401 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.401 * [taylor]: Taking taylor expansion of (+ x y) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of (* x y) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.402 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.402 * [taylor]: Taking taylor expansion of 0.5 in x 0.402 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.402 * [taylor]: Taking taylor expansion of (+ x y) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of y in x 0.402 * [taylor]: Taking taylor expansion of (* x y) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of y in x 0.402 * [taylor]: Taking taylor expansion of 0.5 in y 0.403 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.404 * [taylor]: Taking taylor expansion of 0.5 in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.412 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.412 * [taylor]: Taking taylor expansion of 0.5 in y 0.412 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.412 * [taylor]: Taking taylor expansion of x in y 0.412 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.413 * [taylor]: Taking taylor expansion of 0.5 in x 0.413 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.413 * [taylor]: Taking taylor expansion of 0.5 in x 0.413 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.415 * [taylor]: Taking taylor expansion of 0.5 in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of 0.5 in y 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [approximate]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.430 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.430 * [taylor]: Taking taylor expansion of -0.5 in y 0.430 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.430 * [taylor]: Taking taylor expansion of x in y 0.430 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.430 * [taylor]: Taking taylor expansion of x in y 0.430 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.430 * [taylor]: Taking taylor expansion of -0.5 in x 0.430 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.431 * [taylor]: Taking taylor expansion of -0.5 in x 0.431 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.433 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.433 * [taylor]: Taking taylor expansion of 0.5 in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.435 * [taylor]: Taking taylor expansion of 0.5 in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.452 * * * [progress]: simplifying candidates 0.453 * [simplify]: Simplifying using # : (expm1 (/ (* (* x 2.0) y) (+ x y))) (log1p (/ (* (* x 2.0) y) (+ 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))) (log (/ (* (* x 2.0) y) (+ x y))) (exp (/ (* (* x 2.0) 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)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ (* (* x 2.0) y) (+ x y))) (cbrt (/ (* (* x 2.0) y) (+ x y)))) (cbrt (/ (* (* x 2.0) y) (+ x y))) (* (* (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y))) (/ (* (* x 2.0) y) (+ x y))) (sqrt (/ (* (* x 2.0) y) (+ x y))) (sqrt (/ (* (* x 2.0) y) (+ x y))) (- (* (* x 2.0) y)) (- (+ x y)) (/ (* x 2.0) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ y (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ y (sqrt (+ x y))) (/ (* x 2.0) 1) (/ y (+ x y)) (/ (* x 2.0) 1) (/ y (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (* (* x 2.0) y)) (/ (* (* x 2.0) y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) 1) (/ (* (* x 2.0) y) 1) (/ (+ x y) y) (/ (* (* x 2.0) y) (+ (pow x 3) (pow y 3))) (/ (* (* x 2.0) y) (- (* x x) (* y y))) (expm1 (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (log1p (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (- 1) (- (- (+ (+ (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)))) (- (log (/ (* (* x 2.0) y) (+ x y)))) (- 0 (- (+ (+ (log x) (log 2.0)) (log y)) (log (+ x y)))) (- 0 (- (+ (log (* x 2.0)) (log y)) (log (+ x y)))) (- 0 (- (log (* (* x 2.0) y)) (log (+ x y)))) (- 0 (log (/ (* (* x 2.0) y) (+ x y)))) (- (log 1) (- (+ (+ (log x) (log 2.0)) (log y)) (log (+ x y)))) (- (log 1) (- (+ (log (* x 2.0)) (log y)) (log (+ x y)))) (- (log 1) (- (log (* (* x 2.0) y)) (log (+ x y)))) (- (log 1) (log (/ (* (* x 2.0) y) (+ x y)))) (log (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (exp (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (/ (* (* 1 1) 1) (/ (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y)) (* (* (+ x y) (+ x y)) (+ x y)))) (/ (* (* 1 1) 1) (/ (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y)) (* (* (+ x y) (+ x y)) (+ x y)))) (/ (* (* 1 1) 1) (/ (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y)) (* (* (+ x y) (+ x y)) (+ x y)))) (/ (* (* 1 1) 1) (* (* (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y))) (/ (* (* x 2.0) y) (+ x y)))) (* (cbrt (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (cbrt (/ 1 (/ (* (* x 2.0) y) (+ x y))))) (cbrt (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (* (* (/ 1 (/ (* (* x 2.0) y) (+ x y))) (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (sqrt (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (sqrt (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (- 1) (- (/ (* (* x 2.0) y) (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (* (* x 2.0) y) (+ x y))) (cbrt (/ (* (* x 2.0) y) (+ x y))))) (/ (cbrt 1) (cbrt (/ (* (* x 2.0) y) (+ x y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (* (* x 2.0) y) (+ x y)))) (/ (cbrt 1) (sqrt (/ (* (* x 2.0) y) (+ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* x 2.0) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt 1) (/ y (cbrt (+ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* x 2.0) (sqrt (+ x y)))) (/ (cbrt 1) (/ y (sqrt (+ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* x 2.0) 1)) (/ (cbrt 1) (/ y (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* x 2.0) 1)) (/ (cbrt 1) (/ y (+ x y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (* (* x 2.0) y) (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (* (* x 2.0) y)) (/ (cbrt 1) (/ 1 (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (* x 2.0) y) (+ (pow x 3) (pow y 3)))) (/ (cbrt 1) (+ (* x x) (- (* y y) (* x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (* x 2.0) y) (- (* x x) (* y y)))) (/ (cbrt 1) (- x y)) (/ (sqrt 1) (* (cbrt (/ (* (* x 2.0) y) (+ x y))) (cbrt (/ (* (* x 2.0) y) (+ x y))))) (/ (sqrt 1) (cbrt (/ (* (* x 2.0) y) (+ x y)))) (/ (sqrt 1) (sqrt (/ (* (* x 2.0) y) (+ x y)))) (/ (sqrt 1) (sqrt (/ (* (* x 2.0) y) (+ x y)))) (/ (sqrt 1) (/ (* x 2.0) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (sqrt 1) (/ y (cbrt (+ x y)))) (/ (sqrt 1) (/ (* x 2.0) (sqrt (+ x y)))) (/ (sqrt 1) (/ y (sqrt (+ x y)))) (/ (sqrt 1) (/ (* x 2.0) 1)) (/ (sqrt 1) (/ y (+ x y))) (/ (sqrt 1) (/ (* x 2.0) 1)) (/ (sqrt 1) (/ y (+ x y))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (* (* x 2.0) y) (+ x y))) (/ (sqrt 1) (* (* x 2.0) y)) (/ (sqrt 1) (/ 1 (+ x y))) (/ (sqrt 1) (/ (* (* x 2.0) y) (+ (pow x 3) (pow y 3)))) (/ (sqrt 1) (+ (* x x) (- (* y y) (* x y)))) (/ (sqrt 1) (/ (* (* x 2.0) y) (- (* x x) (* y y)))) (/ (sqrt 1) (- x y)) (/ 1 (* (cbrt (/ (* (* x 2.0) y) (+ x y))) (cbrt (/ (* (* x 2.0) y) (+ x y))))) (/ 1 (cbrt (/ (* (* x 2.0) y) (+ x y)))) (/ 1 (sqrt (/ (* (* x 2.0) y) (+ x y)))) (/ 1 (sqrt (/ (* (* x 2.0) y) (+ x y)))) (/ 1 (/ (* x 2.0) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ 1 (/ y (cbrt (+ x y)))) (/ 1 (/ (* x 2.0) (sqrt (+ x y)))) (/ 1 (/ y (sqrt (+ x y)))) (/ 1 (/ (* x 2.0) 1)) (/ 1 (/ y (+ x y))) (/ 1 (/ (* x 2.0) 1)) (/ 1 (/ y (+ x y))) (/ 1 1) (/ 1 (/ (* (* x 2.0) y) (+ x y))) (/ 1 (* (* x 2.0) y)) (/ 1 (/ 1 (+ x y))) (/ 1 (/ (* (* x 2.0) y) (+ (pow x 3) (pow y 3)))) (/ 1 (+ (* x x) (- (* y y) (* x y)))) (/ 1 (/ (* (* x 2.0) y) (- (* x x) (* y y)))) (/ 1 (- x y)) (/ 1 (/ (* (* x 2.0) y) (+ x y))) (/ (/ (* (* x 2.0) y) (+ x y)) 1) (/ 1 (* (cbrt (/ (* (* x 2.0) y) (+ x y))) (cbrt (/ (* (* x 2.0) y) (+ x y))))) (/ 1 (sqrt (/ (* (* x 2.0) y) (+ x y)))) (/ 1 (/ (* x 2.0) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ 1 (/ (* x 2.0) (sqrt (+ x y)))) (/ 1 (/ (* x 2.0) 1)) (/ 1 (/ (* x 2.0) 1)) (/ 1 1) (/ 1 (* (* x 2.0) y)) (/ 1 (/ (* (* x 2.0) y) (+ (pow x 3) (pow y 3)))) (/ 1 (/ (* (* x 2.0) y) (- (* x x) (* y y)))) (/ (/ (* (* x 2.0) y) (+ x y)) (cbrt 1)) (/ (/ (* (* x 2.0) y) (+ x y)) (sqrt 1)) (/ (/ (* (* x 2.0) y) (+ x y)) 1) (/ 1 (* (* x 2.0) y)) 0 0 0 (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.460 * * [simplify]: iteration 0 : 440 enodes (cost 818 ) 0.468 * * [simplify]: iteration 1 : 2443 enodes (cost 705 ) 0.505 * * [simplify]: iteration 2 : 5001 enodes (cost 652 ) 0.509 * [simplify]: Simplified to: (expm1 (/ (* (* x 2.0) y) (+ x y))) (log1p (/ (* (* x 2.0) y) (+ x y))) (log (/ (* (* x 2.0) y) (+ x y))) (log (/ (* (* x 2.0) y) (+ x y))) (log (/ (* (* x 2.0) y) (+ x y))) (log (/ (* (* x 2.0) y) (+ x y))) (exp (/ (* (* x 2.0) y) (+ x y))) (pow (/ (* (* x 2.0) y) (+ x y)) 3) (pow (/ (* (* x 2.0) y) (+ x y)) 3) (pow (/ (* (* x 2.0) y) (+ x y)) 3) (* (cbrt (/ (* (* x 2.0) y) (+ x y))) (cbrt (/ (* (* x 2.0) y) (+ x y)))) (cbrt (/ (* (* x 2.0) y) (+ x y))) (pow (/ (* (* x 2.0) y) (+ x y)) 3) (sqrt (/ (* (* x 2.0) y) (+ x y))) (sqrt (/ (* (* x 2.0) y) (+ x y))) (- (* (* x 2.0) y)) (- (+ x y)) (/ (* x 2.0) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ y (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ y (sqrt (+ x y))) (* x 2.0) (/ y (+ x y)) (* x 2.0) (/ y (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (* (* x 2.0) y)) (/ (* (* x 2.0) y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (* (* x 2.0) y) (* (* x 2.0) y) (/ (+ x y) y) (/ (* (* x 2.0) y) (+ (pow x 3) (pow y 3))) (/ (* (* x 2.0) y) (- (* x x) (* y y))) (expm1 (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (log1p (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (- 1) (log (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (log (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (log (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (log (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (log (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (log (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (log (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (log (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (log (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (log (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (log (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (log (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (log (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (exp (/ 1 (/ (* (* x 2.0) y) (+ x 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) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (* (cbrt (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (cbrt (/ 1 (/ (* (* x 2.0) y) (+ x y))))) (cbrt (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (sqrt (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (sqrt (/ 1 (/ (* (* x 2.0) y) (+ x y)))) (- 1) (- (/ (* (* x 2.0) y) (+ x y))) (/ 1 (* (cbrt (/ (* (* x 2.0) y) (+ x y))) (cbrt (/ (* (* x 2.0) y) (+ x y))))) (/ 1 (cbrt (/ (* (* x 2.0) y) (+ x y)))) (/ 1 (sqrt (/ (* (* x 2.0) y) (+ x y)))) (/ 1 (sqrt (/ (* (* x 2.0) y) (+ x y)))) (/ 1 (/ (* x 2.0) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ 1 (/ y (cbrt (+ x y)))) (/ 1 (/ (* x 2.0) (sqrt (+ x y)))) (/ 1 (/ y (sqrt (+ x y)))) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) 1 (/ (+ x y) (* (* x 2.0) y)) (/ 1 (* (* x 2.0) y)) (+ x y) (/ 1 (/ (* (* x 2.0) y) (+ (pow x 3) (pow y 3)))) (/ 1 (/ (fma y (- y x) (* x x)) 1)) (/ (- (* x x) (* y y)) (* (* x 2.0) y)) (/ 1 (- x y)) (/ 1 (* (cbrt (/ (* (* x 2.0) y) (+ x y))) (cbrt (/ (* (* x 2.0) y) (+ x y))))) (/ 1 (cbrt (/ (* (* x 2.0) y) (+ x y)))) (/ 1 (sqrt (/ (* (* x 2.0) y) (+ x y)))) (/ 1 (sqrt (/ (* (* x 2.0) y) (+ x y)))) (/ 1 (/ (* x 2.0) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ 1 (/ y (cbrt (+ x y)))) (/ 1 (/ (* x 2.0) (sqrt (+ x y)))) (/ 1 (/ y (sqrt (+ x y)))) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) 1 (/ (+ x y) (* (* x 2.0) y)) (/ 1 (* (* x 2.0) y)) (+ x y) (/ 1 (/ (* (* x 2.0) y) (+ (pow x 3) (pow y 3)))) (/ 1 (/ (fma y (- y x) (* x x)) 1)) (/ (- (* x x) (* y y)) (* (* x 2.0) y)) (/ 1 (- x y)) (/ 1 (* (cbrt (/ (* (* x 2.0) y) (+ x y))) (cbrt (/ (* (* x 2.0) y) (+ x y))))) (/ 1 (cbrt (/ (* (* x 2.0) y) (+ x y)))) (/ 1 (sqrt (/ (* (* x 2.0) y) (+ x y)))) (/ 1 (sqrt (/ (* (* x 2.0) y) (+ x y)))) (/ 1 (/ (* x 2.0) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ 1 (/ y (cbrt (+ x y)))) (/ 1 (/ (* x 2.0) (sqrt (+ x y)))) (/ 1 (/ y (sqrt (+ x y)))) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) 1 (/ (+ x y) (* (* x 2.0) y)) (/ 1 (* (* x 2.0) y)) (+ x y) (/ 1 (/ (* (* x 2.0) y) (+ (pow x 3) (pow y 3)))) (/ 1 (/ (fma y (- y x) (* x x)) 1)) (/ (- (* x x) (* y y)) (* (* x 2.0) y)) (/ 1 (- x y)) (/ (+ x y) (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ 1 (* (cbrt (/ (* (* x 2.0) y) (+ x y))) (cbrt (/ (* (* x 2.0) y) (+ x y))))) (/ 1 (sqrt (/ (* (* x 2.0) y) (+ x y)))) (/ 1 (/ (* x 2.0) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ 1 (/ (* x 2.0) (sqrt (+ x y)))) (/ 1 (* x 2.0)) (/ 1 (* x 2.0)) 1 (/ 1 (* (* x 2.0) y)) (/ 1 (/ (* (* x 2.0) y) (+ (pow x 3) (pow y 3)))) (/ (- (* x x) (* y y)) (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (/ 1 (* (* x 2.0) y)) 0 0 0 (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))) 0.509 * * * [progress]: adding candidates to table 0.622 * [progress]: [Phase 3 of 3] Extracting. 0.622 * * [regime]: Finding splitpoints for: (# #) 0.622 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.622 * * * * [regimes]: Trying to branch on y from (# #) 0.632 * * * * [regimes]: Trying to branch on x from (# #) 0.648 * * * [regime]: Found split indices: #