16.512 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (/ (+ x y) (* (* x 2.0) y)) 0.024 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.026 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.028 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.029 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.031 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.031 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.051 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.051 * [taylor]: Taking taylor expansion of 0.5 in y 0.051 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.051 * [taylor]: Taking taylor expansion of (+ x y) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (* x y) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.052 * [taylor]: Taking taylor expansion of 0.5 in x 0.052 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.052 * [taylor]: Taking taylor expansion of (+ x y) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (* x y) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.053 * [taylor]: Taking taylor expansion of 0.5 in x 0.053 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.053 * [taylor]: Taking taylor expansion of (+ x y) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (* x y) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of 0.5 in y 0.055 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.055 * [taylor]: Taking taylor expansion of 0.5 in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.064 * [taylor]: Taking taylor expansion of 0.5 in y 0.064 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (* y x) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.064 * [taylor]: Taking taylor expansion of 0.5 in x 0.064 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* y x) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.065 * [taylor]: Taking taylor expansion of 0.5 in x 0.065 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* y x) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.067 * [taylor]: Taking taylor expansion of 0.5 in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of 0.5 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.083 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.083 * [taylor]: Taking taylor expansion of -0.5 in y 0.083 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [taylor]: Taking taylor expansion of (* y x) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.084 * [taylor]: Taking taylor expansion of -0.5 in x 0.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (* y x) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.084 * [taylor]: Taking taylor expansion of -0.5 in x 0.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (* y x) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.086 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.086 * [taylor]: Taking taylor expansion of 0.5 in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.089 * [taylor]: Taking taylor expansion of 0.5 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * * * [progress]: simplifying candidates 0.102 * [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))) 0.106 * * [simplify]: iteration 0 : 225 enodes (cost 198 ) 0.110 * * [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 0.180 * * [progress]: iteration 2 / 4 0.180 * * * [progress]: picking best candidate 0.183 * * * * [pick]: Picked # 0.184 * * * [progress]: localizing error 0.190 * * * [progress]: generating rewritten candidates 0.190 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.190 * * * [progress]: generating series expansions 0.190 * * * * [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 0.191 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 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 y 0.191 * [taylor]: Taking taylor expansion of 0.5 in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.191 * [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 0.192 * [taylor]: Taking taylor expansion of 0.5 in y 0.192 * [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 0.200 * [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 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.201 * [taylor]: Taking taylor expansion of 0.5 in y 0.201 * [taylor]: Taking taylor expansion of x in y 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 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.201 * [taylor]: Taking taylor expansion of 0.5 in y 0.201 * [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 0.203 * [taylor]: Taking taylor expansion of 0.5 in x 0.205 * [taylor]: Taking taylor expansion of 0 in x 0.207 * [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 0.208 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.208 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in x 0.208 * [taylor]: Taking taylor expansion of 0.5 in x 0.208 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.208 * [taylor]: Taking taylor expansion of -1 in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.208 * [taylor]: Taking taylor expansion of -0.5 in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.208 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.208 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.208 * [taylor]: Taking taylor expansion of 0.5 in y 0.208 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.208 * [taylor]: Taking taylor expansion of -1 in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.208 * [taylor]: Taking taylor expansion of -0.5 in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.208 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.208 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.208 * [taylor]: Taking taylor expansion of 0.5 in y 0.208 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.208 * [taylor]: Taking taylor expansion of -1 in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.208 * [taylor]: Taking taylor expansion of -0.5 in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) 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 0.211 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.211 * [taylor]: Taking taylor expansion of 0.5 in x 0.215 * [taylor]: Taking taylor expansion of 0 in x 0.218 * [taylor]: Taking taylor expansion of 0 in x 0.219 * * * [progress]: simplifying candidates 0.219 * [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))) 0.222 * * [simplify]: iteration 0 : 30 enodes (cost 74 ) 0.224 * * [simplify]: iteration 1 : 86 enodes (cost 65 ) 0.227 * * [simplify]: iteration 2 : 435 enodes (cost 64 ) 0.237 * * [simplify]: iteration 3 : 1988 enodes (cost 59 ) 0.273 * * [simplify]: iteration 4 : 5001 enodes (cost 59 ) 0.273 * [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)) 0.274 * * * [progress]: adding candidates to table 0.301 * * [progress]: iteration 3 / 4 0.301 * * * [progress]: picking best candidate 0.303 * * * * [pick]: Picked # 0.303 * * * [progress]: localizing error 0.309 * * * [progress]: generating rewritten candidates 0.309 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.320 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.330 * * * [progress]: generating series expansions 0.331 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.331 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.331 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.331 * [taylor]: Taking taylor expansion of 0.5 in y 0.331 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.331 * [taylor]: Taking taylor expansion of (+ x y) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (* x y) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.331 * [taylor]: Taking taylor expansion of 0.5 in x 0.331 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.331 * [taylor]: Taking taylor expansion of (+ x y) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (* x y) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.332 * [taylor]: Taking taylor expansion of 0.5 in x 0.332 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.332 * [taylor]: Taking taylor expansion of (+ x y) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of (* x y) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of 0.5 in y 0.334 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.334 * [taylor]: Taking taylor expansion of 0.5 in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.345 * [taylor]: Taking taylor expansion of 0.5 in y 0.345 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (* y x) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.346 * [taylor]: Taking taylor expansion of 0.5 in x 0.346 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (* y x) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.346 * [taylor]: Taking taylor expansion of 0.5 in x 0.346 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (* y x) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.348 * [taylor]: Taking taylor expansion of 0.5 in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of 0.5 in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.361 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.361 * [taylor]: Taking taylor expansion of -0.5 in y 0.361 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.362 * [taylor]: Taking taylor expansion of x in y 0.362 * [taylor]: Taking taylor expansion of (* y x) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of x in y 0.362 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.362 * [taylor]: Taking taylor expansion of -0.5 in x 0.362 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) 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 0.362 * [taylor]: Taking taylor expansion of (* y x) in x 0.362 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.362 * [taylor]: Taking taylor expansion of -0.5 in x 0.362 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) 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 (* y x) in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.365 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.365 * [taylor]: Taking taylor expansion of 0.5 in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.367 * [taylor]: Taking taylor expansion of 0.5 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.379 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.379 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 0.379 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 0.379 * [taylor]: Taking taylor expansion of 0.5 in y 0.379 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.379 * [taylor]: Taking taylor expansion of (+ x y) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.380 * [taylor]: Taking taylor expansion of 0.5 in x 0.380 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.380 * [taylor]: Taking taylor expansion of (+ x y) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.380 * [taylor]: Taking taylor expansion of 0.5 in x 0.380 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.380 * [taylor]: Taking taylor expansion of (+ x y) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.380 * [taylor]: Taking taylor expansion of 0.5 in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of 0.5 in y 0.384 * [taylor]: Taking taylor expansion of 0 in y 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.387 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.387 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.387 * [taylor]: Taking taylor expansion of 0.5 in y 0.387 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.387 * [taylor]: Taking taylor expansion of 0.5 in x 0.387 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.387 * [taylor]: Taking taylor expansion of 0.5 in x 0.387 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [taylor]: Taking taylor expansion of 0.5 in y 0.392 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.392 * [taylor]: Taking taylor expansion of 0.5 in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.399 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.399 * [taylor]: Taking taylor expansion of 0.5 in y 0.399 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.399 * [taylor]: Taking taylor expansion of x in y 0.399 * [taylor]: Taking taylor expansion of x in y 0.399 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.399 * [taylor]: Taking taylor expansion of 0.5 in x 0.399 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.400 * [taylor]: Taking taylor expansion of 0.5 in x 0.400 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.400 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [taylor]: Taking taylor expansion of 0.5 in y 0.404 * [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 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.411 * * * [progress]: simplifying candidates 0.412 * [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) 0.417 * * [simplify]: iteration 0 : 345 enodes (cost 558 ) 0.423 * * [simplify]: iteration 1 : 1350 enodes (cost 499 ) 0.446 * * [simplify]: iteration 2 : 5001 enodes (cost 496 ) 0.451 * [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) 0.451 * * * [progress]: adding candidates to table 0.590 * * [progress]: iteration 4 / 4 0.591 * * * [progress]: picking best candidate 0.592 * * * * [pick]: Picked # 0.592 * * * [progress]: localizing error 0.599 * * * [progress]: generating rewritten candidates 0.599 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.609 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.624 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.642 * * * [progress]: generating series expansions 0.642 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.643 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (+ x y))) in (y x) around 0 0.643 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (+ x y))) in x 0.643 * [taylor]: Taking taylor expansion of 2.0 in x 0.643 * [taylor]: Taking taylor expansion of (/ (* x y) (+ x y)) in x 0.643 * [taylor]: Taking taylor expansion of (* x y) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of (+ x y) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (+ x y))) in y 0.643 * [taylor]: Taking taylor expansion of 2.0 in y 0.643 * [taylor]: Taking taylor expansion of (/ (* x y) (+ x y)) in y 0.643 * [taylor]: Taking taylor expansion of (* x y) in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (+ x y) in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (+ x y))) in y 0.644 * [taylor]: Taking taylor expansion of 2.0 in y 0.644 * [taylor]: Taking taylor expansion of (/ (* x y) (+ x y)) in y 0.644 * [taylor]: Taking taylor expansion of (* x y) in y 0.644 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (+ x y) in y 0.644 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of 2.0 in x 0.645 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 x))) in x 0.646 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.646 * [taylor]: Taking taylor expansion of 2.0 in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.649 * [taylor]: Taking taylor expansion of 2.0 in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.654 * [approximate]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (y x) around 0 0.654 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.654 * [taylor]: Taking taylor expansion of 2.0 in x 0.654 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (* y x) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.656 * [taylor]: Taking taylor expansion of 2.0 in y 0.656 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of (* y x) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.657 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.657 * [taylor]: Taking taylor expansion of 2.0 in y 0.657 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.658 * [taylor]: Taking taylor expansion of x in y 0.658 * [taylor]: Taking taylor expansion of (* y x) in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of x in y 0.659 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.659 * [taylor]: Taking taylor expansion of 2.0 in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2)))) in x 0.662 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.662 * [taylor]: Taking taylor expansion of 2.0 in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 3))) in x 0.667 * [taylor]: Taking taylor expansion of 2.0 in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.667 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.675 * [approximate]: Taking taylor expansion of (/ -2.0 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (y x) around 0 0.675 * [taylor]: Taking taylor expansion of (/ -2.0 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.675 * [taylor]: Taking taylor expansion of -2.0 in x 0.675 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.675 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.675 * [taylor]: Taking taylor expansion of y in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of (* y x) in x 0.675 * [taylor]: Taking taylor expansion of y in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (/ -2.0 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.683 * [taylor]: Taking taylor expansion of -2.0 in y 0.683 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.683 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.683 * [taylor]: Taking taylor expansion of x in y 0.683 * [taylor]: Taking taylor expansion of (* y x) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.684 * [taylor]: Taking taylor expansion of x in y 0.685 * [taylor]: Taking taylor expansion of (/ -2.0 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.686 * [taylor]: Taking taylor expansion of -2.0 in y 0.686 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.686 * [taylor]: Taking taylor expansion of x in y 0.686 * [taylor]: Taking taylor expansion of (* y x) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of x in y 0.688 * [taylor]: Taking taylor expansion of (/ -2.0 x) in x 0.688 * [taylor]: Taking taylor expansion of -2.0 in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.692 * [taylor]: Taking taylor expansion of 2.0 in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.701 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 3)))) in x 0.701 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 3))) in x 0.701 * [taylor]: Taking taylor expansion of 2.0 in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.701 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.713 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.713 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (y x) around 0 0.713 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.713 * [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 0.714 * [taylor]: Taking taylor expansion of 0.5 in y 0.714 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.714 * [taylor]: Taking taylor expansion of (+ x y) in y 0.714 * [taylor]: Taking taylor expansion of x in y 0.714 * [taylor]: Taking taylor expansion of y in y 0.714 * [taylor]: Taking taylor expansion of (* x y) in y 0.714 * [taylor]: Taking taylor expansion of x in y 0.714 * [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 0.718 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.718 * [taylor]: Taking taylor expansion of 0.5 in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of 0 in x 0.724 * [taylor]: Taking taylor expansion of 0 in x 0.729 * [taylor]: Taking taylor expansion of 0 in x 0.729 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (y x) around 0 0.729 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.729 * [taylor]: Taking taylor expansion of 0.5 in x 0.729 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (* y x) in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.730 * [taylor]: Taking taylor expansion of 0.5 in y 0.730 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.730 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.731 * [taylor]: Taking taylor expansion of x in y 0.731 * [taylor]: Taking taylor expansion of (* y x) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of x in y 0.731 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.731 * [taylor]: Taking taylor expansion of 0.5 in y 0.731 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.731 * [taylor]: Taking taylor expansion of x in y 0.731 * [taylor]: Taking taylor expansion of (* y x) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of x in y 0.733 * [taylor]: Taking taylor expansion of 0 in x 0.734 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.734 * [taylor]: Taking taylor expansion of 0.5 in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of 0.5 in x 0.740 * [taylor]: Taking taylor expansion of 0 in x 0.744 * [taylor]: Taking taylor expansion of 0 in x 0.749 * [taylor]: Taking taylor expansion of 0 in x 0.749 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (y x) around 0 0.749 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.749 * [taylor]: Taking taylor expansion of -0.5 in x 0.749 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.749 * [taylor]: Taking taylor expansion of y in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (* y x) in x 0.750 * [taylor]: Taking taylor expansion of y in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.750 * [taylor]: Taking taylor expansion of -0.5 in y 0.750 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.750 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.750 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.750 * [taylor]: Taking taylor expansion of x in y 0.750 * [taylor]: Taking taylor expansion of (* y x) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.750 * [taylor]: Taking taylor expansion of x in y 0.750 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.750 * [taylor]: Taking taylor expansion of -0.5 in y 0.750 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.750 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [taylor]: Taking taylor expansion of (* y x) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [taylor]: Taking taylor expansion of 0 in x 0.752 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.753 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.753 * [taylor]: Taking taylor expansion of 0.5 in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.755 * [taylor]: Taking taylor expansion of 0.5 in x 0.758 * [taylor]: Taking taylor expansion of 0 in x 0.763 * [taylor]: Taking taylor expansion of 0 in x 0.768 * [taylor]: Taking taylor expansion of 0 in x 0.769 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.769 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 0.769 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 0.769 * [taylor]: Taking taylor expansion of 0.5 in y 0.769 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.769 * [taylor]: Taking taylor expansion of (+ x y) in y 0.769 * [taylor]: Taking taylor expansion of x in y 0.769 * [taylor]: Taking taylor expansion of y in y 0.769 * [taylor]: Taking taylor expansion of x in y 0.769 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.769 * [taylor]: Taking taylor expansion of 0.5 in x 0.769 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.769 * [taylor]: Taking taylor expansion of (+ x y) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.769 * [taylor]: Taking taylor expansion of y in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.769 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.769 * [taylor]: Taking taylor expansion of 0.5 in x 0.769 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.769 * [taylor]: Taking taylor expansion of (+ x y) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.769 * [taylor]: Taking taylor expansion of y in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.770 * [taylor]: Taking taylor expansion of 0.5 in y 0.770 * [taylor]: Taking taylor expansion of y in y 0.771 * [taylor]: Taking taylor expansion of 0.5 in y 0.773 * [taylor]: Taking taylor expansion of 0 in y 0.776 * [taylor]: Taking taylor expansion of 0 in y 0.776 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.776 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.776 * [taylor]: Taking taylor expansion of 0.5 in y 0.776 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.776 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.776 * [taylor]: Taking taylor expansion of y in y 0.776 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.777 * [taylor]: Taking taylor expansion of x in y 0.777 * [taylor]: Taking taylor expansion of x in y 0.777 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.777 * [taylor]: Taking taylor expansion of 0.5 in x 0.777 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.777 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.777 * [taylor]: Taking taylor expansion of 0.5 in x 0.777 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.777 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of 0 in y 0.784 * [taylor]: Taking taylor expansion of 0.5 in y 0.786 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.786 * [taylor]: Taking taylor expansion of 0.5 in y 0.786 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of 0 in y 0.791 * [taylor]: Taking taylor expansion of 0 in y 0.793 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.793 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.793 * [taylor]: Taking taylor expansion of 0.5 in y 0.793 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.793 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.793 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.793 * [taylor]: Taking taylor expansion of x in y 0.793 * [taylor]: Taking taylor expansion of x in y 0.793 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.793 * [taylor]: Taking taylor expansion of 0.5 in x 0.793 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.793 * [taylor]: Taking taylor expansion of y in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.794 * [taylor]: Taking taylor expansion of 0.5 in x 0.794 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.794 * [taylor]: Taking taylor expansion of y in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of 0 in y 0.796 * [taylor]: Taking taylor expansion of 0.5 in y 0.798 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.798 * [taylor]: Taking taylor expansion of 0.5 in y 0.798 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of 0 in y 0.804 * [taylor]: Taking taylor expansion of 0 in y 0.805 * * * [progress]: simplifying candidates 0.808 * [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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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) 0.897 * * * [progress]: adding candidates to table 1.193 * [progress]: [Phase 3 of 3] Extracting. 1.194 * * [regime]: Finding splitpoints for: (# # #) 1.194 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (* (* x 2.0) y)) y x) 1.194 * * * * [regimes]: Trying to branch on (/ (+ x y) (* (* x 2.0) y)) from (# # #) 1.206 * * * * [regimes]: Trying to branch on y from (# # #) 1.222 * * * * [regimes]: Trying to branch on x from (# # #) 1.234 * * * [regime]: Found split indices: #