15.396 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (/ (+ x y) (* (* x 2.0) y)) 0.016 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.017 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.019 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.020 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.022 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.022 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.043 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.043 * [taylor]: Taking taylor expansion of 0.5 in y 0.043 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.044 * [taylor]: Taking taylor expansion of (+ x y) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (* x y) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.044 * [taylor]: Taking taylor expansion of 0.5 in x 0.044 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.044 * [taylor]: Taking taylor expansion of (+ x y) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (* x y) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of y in x 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 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 0.5 in y 0.046 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.046 * [taylor]: Taking taylor expansion of 0.5 in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.055 * [taylor]: Taking taylor expansion of 0.5 in y 0.055 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (* y x) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.056 * [taylor]: Taking taylor expansion of 0.5 in x 0.056 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (* y x) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.056 * [taylor]: Taking taylor expansion of 0.5 in x 0.056 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (* y x) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.059 * [taylor]: Taking taylor expansion of 0.5 in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of 0.5 in y 0.063 * [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 0.075 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.075 * [taylor]: Taking taylor expansion of -0.5 in y 0.075 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [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 0.076 * [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 0.076 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.076 * [taylor]: Taking taylor expansion of -0.5 in x 0.076 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.076 * [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 0.078 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.078 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.078 * [taylor]: Taking taylor expansion of 0.5 in y 0.078 * [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 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.094 * * * [progress]: simplifying candidates 0.094 * [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))) 0.098 * * [simplify]: iteration 0 : 225 enodes (cost 198 ) 0.104 * * [simplify]: iteration 1 : 956 enodes (cost 161 ) 0.125 * * [simplify]: iteration 2 : 5001 enodes (cost 161 ) 0.127 * [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))) 0.127 * * * [progress]: adding candidates to table 0.179 * * [progress]: iteration 2 / 4 0.179 * * * [progress]: picking best candidate 0.183 * * * * [pick]: Picked # 0.183 * * * [progress]: localizing error 0.190 * * * [progress]: generating rewritten candidates 0.190 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.191 * * * [progress]: generating series expansions 0.191 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.191 * [approximate]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in (y x) around 0 0.191 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in x 0.191 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.191 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.191 * [taylor]: Taking taylor expansion of 0.5 in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.191 * [taylor]: Taking taylor expansion of 0.5 in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.192 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.192 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.192 * [taylor]: Taking taylor expansion of 0.5 in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.192 * [taylor]: Taking taylor expansion of 0.5 in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.192 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.192 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.192 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.192 * [taylor]: Taking taylor expansion of 0.5 in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.193 * [taylor]: Taking taylor expansion of 0.5 in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [taylor]: Taking taylor expansion of 0.5 in x 0.194 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.194 * [taylor]: Taking taylor expansion of 0.5 in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of 0 in x 0.198 * [taylor]: Taking taylor expansion of 0 in x 0.201 * [taylor]: Taking taylor expansion of 0 in x 0.201 * [approximate]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in (y x) around 0 0.201 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in x 0.201 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.201 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.201 * [taylor]: Taking taylor expansion of 0.5 in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.201 * [taylor]: Taking taylor expansion of 0.5 in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.201 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.201 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.201 * [taylor]: Taking taylor expansion of 0.5 in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.202 * [taylor]: Taking taylor expansion of 0.5 in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.202 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.202 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.202 * [taylor]: Taking taylor expansion of 0.5 in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.202 * [taylor]: Taking taylor expansion of 0.5 in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.202 * [taylor]: Taking taylor expansion of 0.5 in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of 0.5 in x 0.206 * [taylor]: Taking taylor expansion of 0 in x 0.208 * [taylor]: Taking taylor expansion of 0 in x 0.208 * [approximate]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in (y x) around 0 0.208 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in x 0.209 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.209 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in x 0.209 * [taylor]: Taking taylor expansion of 0.5 in x 0.209 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.209 * [taylor]: Taking taylor expansion of -1 in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.209 * [taylor]: Taking taylor expansion of -0.5 in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.209 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.209 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.209 * [taylor]: Taking taylor expansion of 0.5 in y 0.209 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.209 * [taylor]: Taking taylor expansion of -1 in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.209 * [taylor]: Taking taylor expansion of -0.5 in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.209 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.209 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.209 * [taylor]: Taking taylor expansion of 0.5 in y 0.209 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.209 * [taylor]: Taking taylor expansion of -1 in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.209 * [taylor]: Taking taylor expansion of -0.5 in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.210 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.210 * [taylor]: Taking taylor expansion of 0.5 in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.212 * [taylor]: Taking taylor expansion of 0.5 in x 0.216 * [taylor]: Taking taylor expansion of 0 in x 0.219 * [taylor]: Taking taylor expansion of 0 in x 0.220 * * * [progress]: simplifying candidates 0.220 * [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))) 0.223 * * [simplify]: iteration 0 : 30 enodes (cost 74 ) 0.225 * * [simplify]: iteration 1 : 86 enodes (cost 65 ) 0.228 * * [simplify]: iteration 2 : 435 enodes (cost 64 ) 0.239 * * [simplify]: iteration 3 : 1988 enodes (cost 59 ) 0.277 * * [simplify]: iteration 4 : 5001 enodes (cost 59 ) 0.277 * [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)) 0.277 * * * [progress]: adding candidates to table 0.305 * * [progress]: iteration 3 / 4 0.305 * * * [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) 0.325 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.337 * * * [progress]: generating series expansions 0.337 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.337 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.337 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.337 * [taylor]: Taking taylor expansion of 0.5 in y 0.337 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.337 * [taylor]: Taking taylor expansion of (+ x y) in y 0.337 * [taylor]: Taking taylor expansion of x in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of (* x y) in y 0.337 * [taylor]: Taking taylor expansion of x in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.338 * [taylor]: Taking taylor expansion of 0.5 in x 0.338 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.338 * [taylor]: Taking taylor expansion of (+ x y) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (* x y) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.338 * [taylor]: Taking taylor expansion of 0.5 in x 0.338 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.338 * [taylor]: Taking taylor expansion of (+ x y) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (* x y) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of 0.5 in y 0.340 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.340 * [taylor]: Taking taylor expansion of 0.5 in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.349 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.349 * [taylor]: Taking taylor expansion of 0.5 in y 0.349 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of (* y x) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.349 * [taylor]: Taking taylor expansion of 0.5 in x 0.349 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (* y x) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.350 * [taylor]: Taking taylor expansion of 0.5 in x 0.350 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (* y x) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.355 * [taylor]: Taking taylor expansion of 0.5 in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of 0.5 in y 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.368 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.368 * [taylor]: Taking taylor expansion of -0.5 in y 0.368 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (* y x) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.368 * [taylor]: Taking taylor expansion of -0.5 in x 0.368 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (* y x) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.369 * [taylor]: Taking taylor expansion of -0.5 in x 0.369 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (* y x) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.371 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.371 * [taylor]: Taking taylor expansion of 0.5 in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.373 * [taylor]: Taking taylor expansion of 0.5 in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.386 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.387 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 0.387 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 0.387 * [taylor]: Taking taylor expansion of 0.5 in y 0.387 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.387 * [taylor]: Taking taylor expansion of (+ x y) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.387 * [taylor]: Taking taylor expansion of 0.5 in x 0.387 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.387 * [taylor]: Taking taylor expansion of (+ x y) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.387 * [taylor]: Taking taylor expansion of 0.5 in x 0.387 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.387 * [taylor]: Taking taylor expansion of (+ x y) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.387 * [taylor]: Taking taylor expansion of 0.5 in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of 0.5 in y 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.394 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.394 * [taylor]: Taking taylor expansion of 0.5 in y 0.394 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.395 * [taylor]: Taking taylor expansion of x in y 0.395 * [taylor]: Taking taylor expansion of x in y 0.395 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.395 * [taylor]: Taking taylor expansion of 0.5 in x 0.395 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.395 * [taylor]: Taking taylor expansion of 0.5 in x 0.395 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.398 * [taylor]: Taking taylor expansion of 0.5 in y 0.400 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.400 * [taylor]: Taking taylor expansion of 0.5 in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.407 * [taylor]: Taking taylor expansion of 0.5 in y 0.407 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.407 * [taylor]: Taking taylor expansion of 0.5 in x 0.407 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.408 * [taylor]: Taking taylor expansion of 0.5 in x 0.408 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [taylor]: Taking taylor expansion of 0.5 in y 0.412 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.412 * [taylor]: Taking taylor expansion of 0.5 in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.419 * * * [progress]: simplifying candidates 0.420 * [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) 0.425 * * [simplify]: iteration 0 : 345 enodes (cost 558 ) 0.432 * * [simplify]: iteration 1 : 1350 enodes (cost 499 ) 0.456 * * [simplify]: iteration 2 : 5001 enodes (cost 496 ) 0.459 * [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) 0.459 * * * [progress]: adding candidates to table 0.598 * * [progress]: iteration 4 / 4 0.598 * * * [progress]: picking best candidate 0.600 * * * * [pick]: Picked # 0.600 * * * [progress]: localizing error 0.607 * * * [progress]: generating rewritten candidates 0.607 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.615 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.634 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.655 * * * [progress]: generating series expansions 0.655 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.655 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (+ x y))) in (y x) around 0 0.655 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (+ x y))) in x 0.655 * [taylor]: Taking taylor expansion of 2.0 in x 0.655 * [taylor]: Taking taylor expansion of (/ (* x y) (+ x y)) in x 0.655 * [taylor]: Taking taylor expansion of (* x y) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of y in x 0.655 * [taylor]: Taking taylor expansion of (+ x y) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (+ x y))) in y 0.656 * [taylor]: Taking taylor expansion of 2.0 in y 0.656 * [taylor]: Taking taylor expansion of (/ (* x y) (+ x y)) in y 0.656 * [taylor]: Taking taylor expansion of (* x y) in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of (+ x y) in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (+ x y))) in y 0.656 * [taylor]: Taking taylor expansion of 2.0 in y 0.656 * [taylor]: Taking taylor expansion of (/ (* x y) (+ x y)) in y 0.656 * [taylor]: Taking taylor expansion of (* x y) in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of (+ x y) in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of 2.0 in x 0.658 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 x))) in x 0.658 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.658 * [taylor]: Taking taylor expansion of 2.0 in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.661 * [taylor]: Taking taylor expansion of 2.0 in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.666 * [approximate]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (y x) around 0 0.666 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.666 * [taylor]: Taking taylor expansion of 2.0 in x 0.667 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.667 * [taylor]: Taking taylor expansion of y in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (* y x) in x 0.667 * [taylor]: Taking taylor expansion of y in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.668 * [taylor]: Taking taylor expansion of 2.0 in y 0.668 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.668 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.668 * [taylor]: Taking taylor expansion of y in y 0.668 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.668 * [taylor]: Taking taylor expansion of x in y 0.669 * [taylor]: Taking taylor expansion of (* y x) in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.669 * [taylor]: Taking taylor expansion of x in y 0.670 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.670 * [taylor]: Taking taylor expansion of 2.0 in y 0.670 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.670 * [taylor]: Taking taylor expansion of x in y 0.670 * [taylor]: Taking taylor expansion of (* y x) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of x in y 0.671 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.672 * [taylor]: Taking taylor expansion of 2.0 in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2)))) in x 0.674 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.674 * [taylor]: Taking taylor expansion of 2.0 in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 3))) in x 0.680 * [taylor]: Taking taylor expansion of 2.0 in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.680 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.687 * [approximate]: Taking taylor expansion of (/ -2.0 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (y x) around 0 0.687 * [taylor]: Taking taylor expansion of (/ -2.0 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.687 * [taylor]: Taking taylor expansion of -2.0 in x 0.688 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (* y x) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (/ -2.0 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.689 * [taylor]: Taking taylor expansion of -2.0 in y 0.689 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.690 * [taylor]: Taking taylor expansion of x in y 0.690 * [taylor]: Taking taylor expansion of (* y x) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.690 * [taylor]: Taking taylor expansion of x in y 0.691 * [taylor]: Taking taylor expansion of (/ -2.0 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.691 * [taylor]: Taking taylor expansion of -2.0 in y 0.691 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.691 * [taylor]: Taking taylor expansion of x in y 0.691 * [taylor]: Taking taylor expansion of (* y x) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of x in y 0.693 * [taylor]: Taking taylor expansion of (/ -2.0 x) in x 0.693 * [taylor]: Taking taylor expansion of -2.0 in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.695 * [taylor]: Taking taylor expansion of 2.0 in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.695 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 3)))) in x 0.706 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 3))) in x 0.706 * [taylor]: Taking taylor expansion of 2.0 in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.706 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.714 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.714 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (y x) around 0 0.714 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.714 * [taylor]: Taking taylor expansion of 0.5 in x 0.714 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.714 * [taylor]: Taking taylor expansion of (+ x y) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.714 * [taylor]: Taking taylor expansion of (* x y) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.714 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.715 * [taylor]: Taking taylor expansion of 0.5 in y 0.715 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.715 * [taylor]: Taking taylor expansion of (+ x y) in y 0.715 * [taylor]: Taking taylor expansion of x in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.715 * [taylor]: Taking taylor expansion of (* x y) in y 0.715 * [taylor]: Taking taylor expansion of x in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.715 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.715 * [taylor]: Taking taylor expansion of 0.5 in y 0.715 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.715 * [taylor]: Taking taylor expansion of (+ x y) in y 0.715 * [taylor]: Taking taylor expansion of x in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.715 * [taylor]: Taking taylor expansion of (* x y) in y 0.715 * [taylor]: Taking taylor expansion of x in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.716 * [taylor]: Taking taylor expansion of 0.5 in x 0.717 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.717 * [taylor]: Taking taylor expansion of 0.5 in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of 0 in x 0.721 * [taylor]: Taking taylor expansion of 0 in x 0.724 * [taylor]: Taking taylor expansion of 0 in x 0.724 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (y x) around 0 0.724 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.724 * [taylor]: Taking taylor expansion of 0.5 in x 0.724 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (* y 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 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.725 * [taylor]: Taking taylor expansion of 0.5 in y 0.725 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.725 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.725 * [taylor]: Taking taylor expansion of x in y 0.725 * [taylor]: Taking taylor expansion of (* y 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 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.725 * [taylor]: Taking taylor expansion of 0.5 in y 0.725 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.725 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.726 * [taylor]: Taking taylor expansion of x in y 0.726 * [taylor]: Taking taylor expansion of (* y x) in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of x in y 0.727 * [taylor]: Taking taylor expansion of 0 in x 0.728 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.728 * [taylor]: Taking taylor expansion of 0.5 in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of 0.5 in x 0.733 * [taylor]: Taking taylor expansion of 0 in x 0.737 * [taylor]: Taking taylor expansion of 0 in x 0.742 * [taylor]: Taking taylor expansion of 0 in x 0.742 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (y x) around 0 0.742 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.742 * [taylor]: Taking taylor expansion of -0.5 in x 0.742 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.742 * [taylor]: Taking taylor expansion of y in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (* y x) in x 0.743 * [taylor]: Taking taylor expansion of y in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.743 * [taylor]: Taking taylor expansion of -0.5 in y 0.743 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.743 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.743 * [taylor]: Taking taylor expansion of x in y 0.743 * [taylor]: Taking taylor expansion of (* y x) in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.743 * [taylor]: Taking taylor expansion of x in y 0.743 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.743 * [taylor]: Taking taylor expansion of -0.5 in y 0.743 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.743 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.744 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.744 * [taylor]: Taking taylor expansion of x in y 0.744 * [taylor]: Taking taylor expansion of (* y x) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.744 * [taylor]: Taking taylor expansion of x in y 0.744 * [taylor]: Taking taylor expansion of 0 in x 0.745 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.746 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.746 * [taylor]: Taking taylor expansion of 0.5 in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.748 * [taylor]: Taking taylor expansion of 0.5 in x 0.751 * [taylor]: Taking taylor expansion of 0 in x 0.756 * [taylor]: Taking taylor expansion of 0 in x 0.762 * [taylor]: Taking taylor expansion of 0 in x 0.762 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.762 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 0.763 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 0.763 * [taylor]: Taking taylor expansion of 0.5 in y 0.763 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.763 * [taylor]: Taking taylor expansion of (+ x y) in y 0.763 * [taylor]: Taking taylor expansion of x in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.763 * [taylor]: Taking taylor expansion of x in y 0.763 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.763 * [taylor]: Taking taylor expansion of 0.5 in x 0.763 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.763 * [taylor]: Taking taylor expansion of (+ x y) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.763 * [taylor]: Taking taylor expansion of 0.5 in x 0.763 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.763 * [taylor]: Taking taylor expansion of (+ x y) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.763 * [taylor]: Taking taylor expansion of 0.5 in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of 0.5 in y 0.767 * [taylor]: Taking taylor expansion of 0 in y 0.770 * [taylor]: Taking taylor expansion of 0 in y 0.770 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.770 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.770 * [taylor]: Taking taylor expansion of 0.5 in y 0.770 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.770 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.770 * [taylor]: Taking taylor expansion of y in y 0.770 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.771 * [taylor]: Taking taylor expansion of x in y 0.771 * [taylor]: Taking taylor expansion of x in y 0.771 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.771 * [taylor]: Taking taylor expansion of 0.5 in x 0.771 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.771 * [taylor]: Taking taylor expansion of y in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.771 * [taylor]: Taking taylor expansion of 0.5 in x 0.771 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.771 * [taylor]: Taking taylor expansion of y in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.772 * [taylor]: Taking taylor expansion of 0 in y 0.774 * [taylor]: Taking taylor expansion of 0.5 in y 0.776 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.776 * [taylor]: Taking taylor expansion of 0.5 in y 0.776 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.776 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of 0 in y 0.782 * [taylor]: Taking taylor expansion of 0 in y 0.788 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.788 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.788 * [taylor]: Taking taylor expansion of 0.5 in y 0.788 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.788 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.789 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.789 * [taylor]: Taking taylor expansion of x in y 0.789 * [taylor]: Taking taylor expansion of x in y 0.789 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.789 * [taylor]: Taking taylor expansion of 0.5 in x 0.789 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.789 * [taylor]: Taking taylor expansion of 0.5 in x 0.789 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of 0 in y 0.792 * [taylor]: Taking taylor expansion of 0.5 in y 0.794 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.794 * [taylor]: Taking taylor expansion of 0.5 in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.796 * [taylor]: Taking taylor expansion of 0 in y 0.800 * [taylor]: Taking taylor expansion of 0 in y 0.801 * * * [progress]: simplifying candidates 0.805 * [simplify]: Simplifying using # : (expm1 (/ y (/ (+ x y) (* x 2.0)))) (log1p (/ y (/ (+ x y) (* x 2.0)))) (- (log 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 (/ (+ x y) (* x 2.0)))) (exp (/ y (/ (+ x y) (* x 2.0)))) (/ (* (* y y) 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)))) (* (cbrt (/ y (/ (+ x y) (* x 2.0)))) (cbrt (/ y (/ (+ x y) (* x 2.0))))) (cbrt (/ y (/ (+ x y) (* x 2.0)))) (* (* (/ y (/ (+ x y) (* x 2.0))) (/ y (/ (+ x y) (* x 2.0)))) (/ y (/ (+ x y) (* x 2.0)))) (sqrt (/ y (/ (+ x y) (* x 2.0)))) (sqrt (/ y (/ (+ x y) (* x 2.0)))) (- y) (- (/ (+ x y) (* x 2.0))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 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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 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))) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) 0.817 * * [simplify]: iteration 0 : 775 enodes (cost 2079 ) 0.834 * * [simplify]: iteration 1 : 4115 enodes (cost 1828 ) 0.886 * * [simplify]: iteration 2 : 5001 enodes (cost 1682 ) 0.895 * [simplify]: Simplified to: (expm1 (/ y (/ (+ x y) (* x 2.0)))) (log1p (/ y (/ (+ x y) (* x 2.0)))) (log (/ y (/ (+ x y) (* x 2.0)))) (log (/ y (/ (+ x y) (* x 2.0)))) (log (/ y (/ (+ x y) (* x 2.0)))) (log (/ y (/ (+ x y) (* x 2.0)))) (exp (/ y (/ (+ x y) (* x 2.0)))) (pow (/ y (/ (+ x y) (* x 2.0))) 3) (pow (/ y (/ (+ x y) (* x 2.0))) 3) (pow (/ y (/ (+ x y) (* x 2.0))) 3) (* (cbrt (/ y (/ (+ x y) (* x 2.0)))) (cbrt (/ y (/ (+ x y) (* x 2.0))))) (cbrt (/ y (/ (+ x y) (* x 2.0)))) (pow (/ y (/ (+ x y) (* x 2.0))) 3) (sqrt (/ y (/ (+ x y) (* x 2.0)))) (sqrt (/ y (/ (+ x y) (* x 2.0)))) (- y) (- (/ (+ x y) (* x 2.0))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ (+ x y) (* x 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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) 0.896 * * * [progress]: adding candidates to table 1.207 * [progress]: [Phase 3 of 3] Extracting. 1.207 * * [regime]: Finding splitpoints for: (# # #) 1.207 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (* (* x 2.0) y)) y x) 1.207 * * * * [regimes]: Trying to branch on (/ (+ x y) (* (* x 2.0) y)) from (# # #) 1.219 * * * * [regimes]: Trying to branch on y from (# # #) 1.235 * * * * [regimes]: Trying to branch on x from (# # #) 1.248 * * * [regime]: Found split indices: #