11.801 * [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 ) 0.018 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.020 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.021 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.021 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.041 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.041 * [taylor]: Taking taylor expansion of 0.5 in y 0.041 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.041 * [taylor]: Taking taylor expansion of (+ x y) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (* x y) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.042 * [taylor]: Taking taylor expansion of 0.5 in x 0.042 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.042 * [taylor]: Taking taylor expansion of (+ x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (* x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.042 * [taylor]: Taking taylor expansion of 0.5 in x 0.042 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.042 * [taylor]: Taking taylor expansion of (+ x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (* x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of 0.5 in y 0.044 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.044 * [taylor]: Taking taylor expansion of 0.5 in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.053 * [taylor]: Taking taylor expansion of 0.5 in y 0.053 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (* y x) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.053 * [taylor]: Taking taylor expansion of 0.5 in x 0.053 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (* y x) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.054 * [taylor]: Taking taylor expansion of 0.5 in x 0.054 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (* y x) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.056 * [taylor]: Taking taylor expansion of 0.5 in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of 0.5 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.074 * [taylor]: Taking taylor expansion of -0.5 in y 0.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (* y x) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.074 * [taylor]: Taking taylor expansion of -0.5 in x 0.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (* y x) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.075 * [taylor]: Taking taylor expansion of -0.5 in x 0.075 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* y x) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.077 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.077 * [taylor]: Taking taylor expansion of 0.5 in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.079 * [taylor]: Taking taylor expansion of 0.5 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.092 * * * [progress]: simplifying candidates 0.093 * [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))) 0.096 * * [simplify]: iteration 0 : 225 enodes (cost 198 ) 0.101 * * [simplify]: iteration 1 : 956 enodes (cost 161 ) 0.121 * * [simplify]: iteration 2 : 5001 enodes (cost 161 ) 0.122 * [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))) 0.122 * * * [progress]: adding candidates to table 0.170 * * [progress]: iteration 2 / 4 0.170 * * * [progress]: picking best candidate 0.173 * * * * [pick]: Picked # 0.173 * * * [progress]: localizing error 0.179 * * * [progress]: generating rewritten candidates 0.179 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.179 * * * [progress]: generating series expansions 0.179 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.180 * [approximate]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in (y x) around 0 0.180 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in x 0.180 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.180 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.180 * [taylor]: Taking taylor expansion of 0.5 in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.180 * [taylor]: Taking taylor expansion of 0.5 in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.180 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.180 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.180 * [taylor]: Taking taylor expansion of 0.5 in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.181 * [taylor]: Taking taylor expansion of 0.5 in y 0.181 * [taylor]: Taking taylor expansion of x in y 0.181 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.181 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.181 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.181 * [taylor]: Taking taylor expansion of 0.5 in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.181 * [taylor]: Taking taylor expansion of 0.5 in y 0.181 * [taylor]: Taking taylor expansion of x in y 0.182 * [taylor]: Taking taylor expansion of 0.5 in x 0.183 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.183 * [taylor]: Taking taylor expansion of 0.5 in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of 0 in x 0.187 * [taylor]: Taking taylor expansion of 0 in x 0.189 * [taylor]: Taking taylor expansion of 0 in x 0.189 * [approximate]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in (y x) around 0 0.190 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in x 0.190 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.190 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.190 * [taylor]: Taking taylor expansion of 0.5 in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.190 * [taylor]: Taking taylor expansion of 0.5 in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.190 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.190 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.190 * [taylor]: Taking taylor expansion of 0.5 in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.190 * [taylor]: Taking taylor expansion of 0.5 in y 0.190 * [taylor]: Taking taylor expansion of x in y 0.190 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.190 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.190 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.190 * [taylor]: Taking taylor expansion of 0.5 in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.190 * [taylor]: Taking taylor expansion of 0.5 in y 0.190 * [taylor]: Taking taylor expansion of x in y 0.190 * [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 0.5 in x 0.194 * [taylor]: Taking taylor expansion of 0 in x 0.196 * [taylor]: Taking taylor expansion of 0 in x 0.197 * [approximate]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in (y x) around 0 0.197 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in x 0.197 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.197 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in x 0.197 * [taylor]: Taking taylor expansion of 0.5 in x 0.197 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.197 * [taylor]: Taking taylor expansion of -1 in x 0.197 * [taylor]: Taking taylor expansion of y in x 0.197 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.197 * [taylor]: Taking taylor expansion of -0.5 in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.197 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.197 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.197 * [taylor]: Taking taylor expansion of 0.5 in y 0.197 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.197 * [taylor]: Taking taylor expansion of -1 in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.197 * [taylor]: Taking taylor expansion of -0.5 in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.197 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.197 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.197 * [taylor]: Taking taylor expansion of 0.5 in y 0.197 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.197 * [taylor]: Taking taylor expansion of -1 in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.197 * [taylor]: Taking taylor expansion of -0.5 in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.198 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.198 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.198 * [taylor]: Taking taylor expansion of 0.5 in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.201 * [taylor]: Taking taylor expansion of 0.5 in x 0.204 * [taylor]: Taking taylor expansion of 0 in x 0.207 * [taylor]: Taking taylor expansion of 0 in x 0.208 * * * [progress]: simplifying candidates 0.208 * [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))) 0.211 * * [simplify]: iteration 0 : 30 enodes (cost 74 ) 0.213 * * [simplify]: iteration 1 : 86 enodes (cost 65 ) 0.215 * * [simplify]: iteration 2 : 435 enodes (cost 64 ) 0.225 * * [simplify]: iteration 3 : 1988 enodes (cost 59 ) 0.261 * * [simplify]: iteration 4 : 5001 enodes (cost 59 ) 0.262 * [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)) 0.262 * * * [progress]: adding candidates to table 0.291 * * [progress]: iteration 3 / 4 0.291 * * * [progress]: picking best candidate 0.294 * * * * [pick]: Picked # 0.294 * * * [progress]: localizing error 0.300 * * * [progress]: generating rewritten candidates 0.300 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.311 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.322 * * * [progress]: generating series expansions 0.322 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.323 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.323 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.323 * [taylor]: Taking taylor expansion of 0.5 in y 0.323 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.323 * [taylor]: Taking taylor expansion of (+ x y) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of (* x y) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.323 * [taylor]: Taking taylor expansion of 0.5 in x 0.323 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.323 * [taylor]: Taking taylor expansion of (+ x y) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of (* x y) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.324 * [taylor]: Taking taylor expansion of 0.5 in x 0.324 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.324 * [taylor]: Taking taylor expansion of (+ x y) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (* x y) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of 0.5 in y 0.326 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.326 * [taylor]: Taking taylor expansion of 0.5 in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.338 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.338 * [taylor]: Taking taylor expansion of 0.5 in y 0.338 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (* y x) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.338 * [taylor]: Taking taylor expansion of 0.5 in x 0.338 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (* y x) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.339 * [taylor]: Taking taylor expansion of 0.5 in x 0.339 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (* y x) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.341 * [taylor]: Taking taylor expansion of 0.5 in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of 0.5 in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.355 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.355 * [taylor]: Taking taylor expansion of -0.5 in y 0.355 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (* y x) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.355 * [taylor]: Taking taylor expansion of -0.5 in x 0.355 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (* y x) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.356 * [taylor]: Taking taylor expansion of -0.5 in x 0.356 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (* y x) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.358 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.358 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.358 * [taylor]: Taking taylor expansion of 0.5 in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.360 * [taylor]: Taking taylor expansion of 0.5 in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.374 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.374 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 0.374 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 0.374 * [taylor]: Taking taylor expansion of 0.5 in y 0.374 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.374 * [taylor]: Taking taylor expansion of (+ x y) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.374 * [taylor]: Taking taylor expansion of 0.5 in x 0.374 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.374 * [taylor]: Taking taylor expansion of (+ x y) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.374 * [taylor]: Taking taylor expansion of 0.5 in x 0.374 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.374 * [taylor]: Taking taylor expansion of (+ x y) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.374 * [taylor]: Taking taylor expansion of 0.5 in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of 0.5 in y 0.378 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.381 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.381 * [taylor]: Taking taylor expansion of 0.5 in y 0.381 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.382 * [taylor]: Taking taylor expansion of 0.5 in x 0.382 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.382 * [taylor]: Taking taylor expansion of 0.5 in x 0.382 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of 0.5 in y 0.387 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.387 * [taylor]: Taking taylor expansion of 0.5 in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.393 * [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 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.394 * [taylor]: Taking taylor expansion of x in y 0.394 * [taylor]: Taking taylor expansion of x in y 0.394 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.394 * [taylor]: Taking taylor expansion of 0.5 in x 0.394 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [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 0.395 * [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 0.399 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.399 * [taylor]: Taking taylor expansion of 0.5 in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.399 * [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 0.406 * * * [progress]: simplifying candidates 0.408 * [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) 0.413 * * [simplify]: iteration 0 : 345 enodes (cost 558 ) 0.419 * * [simplify]: iteration 1 : 1350 enodes (cost 499 ) 0.443 * * [simplify]: iteration 2 : 5001 enodes (cost 496 ) 0.446 * [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) 0.447 * * * [progress]: adding candidates to table 0.587 * * [progress]: iteration 4 / 4 0.587 * * * [progress]: picking best candidate 0.591 * * * * [pick]: Picked # 0.591 * * * [progress]: localizing error 0.596 * * * [progress]: generating rewritten candidates 0.596 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.598 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.599 * * * [progress]: generating series expansions 0.599 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.600 * [approximate]: Taking taylor expansion of (/ (fma 0.5 (/ y x) 0.5) y) in (y x) around 0 0.600 * [taylor]: Taking taylor expansion of (/ (fma 0.5 (/ y x) 0.5) y) in x 0.600 * [taylor]: Taking taylor expansion of (fma 0.5 (/ y x) 0.5) in x 0.600 * [taylor]: Rewrote expression to (+ (* 0.5 (/ y x)) 0.5) 0.600 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.600 * [taylor]: Taking taylor expansion of 0.5 in x 0.600 * [taylor]: Taking taylor expansion of (/ y x) in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of 0.5 in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.600 * [taylor]: Taking taylor expansion of (/ (fma 0.5 (/ y x) 0.5) y) in y 0.600 * [taylor]: Taking taylor expansion of (fma 0.5 (/ y x) 0.5) in y 0.600 * [taylor]: Rewrote expression to (+ (* 0.5 (/ y x)) 0.5) 0.600 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.600 * [taylor]: Taking taylor expansion of 0.5 in y 0.600 * [taylor]: Taking taylor expansion of (/ y x) in y 0.600 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of x in y 0.600 * [taylor]: Taking taylor expansion of 0.5 in y 0.600 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of (/ (fma 0.5 (/ y x) 0.5) y) in y 0.601 * [taylor]: Taking taylor expansion of (fma 0.5 (/ y x) 0.5) in y 0.601 * [taylor]: Rewrote expression to (+ (* 0.5 (/ y x)) 0.5) 0.601 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.601 * [taylor]: Taking taylor expansion of 0.5 in y 0.601 * [taylor]: Taking taylor expansion of (/ y x) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of x in y 0.601 * [taylor]: Taking taylor expansion of 0.5 in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of 0.5 in x 0.603 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.603 * [taylor]: Taking taylor expansion of 0.5 in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of 0 in x 0.611 * [taylor]: Taking taylor expansion of 0 in x 0.616 * [taylor]: Taking taylor expansion of 0 in x 0.617 * [approximate]: Taking taylor expansion of (* y (fma 0.5 (/ x y) 0.5)) in (y x) around 0 0.617 * [taylor]: Taking taylor expansion of (* y (fma 0.5 (/ x y) 0.5)) in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.617 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in x 0.617 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.617 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.617 * [taylor]: Taking taylor expansion of 0.5 in x 0.617 * [taylor]: Taking taylor expansion of (/ x y) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.617 * [taylor]: Taking taylor expansion of 0.5 in x 0.617 * [taylor]: Taking taylor expansion of (* y (fma 0.5 (/ x y) 0.5)) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in y 0.617 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.617 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.617 * [taylor]: Taking taylor expansion of 0.5 in y 0.617 * [taylor]: Taking taylor expansion of (/ x y) in y 0.617 * [taylor]: Taking taylor expansion of x in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of 0.5 in y 0.617 * [taylor]: Taking taylor expansion of (* y (fma 0.5 (/ x y) 0.5)) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in y 0.617 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.618 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.618 * [taylor]: Taking taylor expansion of 0.5 in y 0.618 * [taylor]: Taking taylor expansion of (/ x y) in y 0.618 * [taylor]: Taking taylor expansion of x in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of 0.5 in y 0.618 * [taylor]: Taking taylor expansion of 0 in x 0.619 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.619 * [taylor]: Taking taylor expansion of 0.5 in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of 0.5 in x 0.625 * [taylor]: Taking taylor expansion of 0 in x 0.629 * [taylor]: Taking taylor expansion of 0 in x 0.630 * [approximate]: Taking taylor expansion of (* -1 (* y (fma 0.5 (/ x y) 0.5))) in (y x) around 0 0.630 * [taylor]: Taking taylor expansion of (* -1 (* y (fma 0.5 (/ x y) 0.5))) in x 0.630 * [taylor]: Taking taylor expansion of -1 in x 0.630 * [taylor]: Taking taylor expansion of (* y (fma 0.5 (/ x y) 0.5)) in x 0.630 * [taylor]: Taking taylor expansion of y in x 0.630 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in x 0.630 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.630 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.630 * [taylor]: Taking taylor expansion of 0.5 in x 0.630 * [taylor]: Taking taylor expansion of (/ x y) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of y in x 0.630 * [taylor]: Taking taylor expansion of 0.5 in x 0.630 * [taylor]: Taking taylor expansion of (* -1 (* y (fma 0.5 (/ x y) 0.5))) in y 0.630 * [taylor]: Taking taylor expansion of -1 in y 0.630 * [taylor]: Taking taylor expansion of (* y (fma 0.5 (/ x y) 0.5)) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in y 0.630 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.630 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.630 * [taylor]: Taking taylor expansion of 0.5 in y 0.630 * [taylor]: Taking taylor expansion of (/ x y) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of 0.5 in y 0.630 * [taylor]: Taking taylor expansion of (* -1 (* y (fma 0.5 (/ x y) 0.5))) in y 0.630 * [taylor]: Taking taylor expansion of -1 in y 0.630 * [taylor]: Taking taylor expansion of (* y (fma 0.5 (/ x y) 0.5)) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in y 0.631 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.631 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.631 * [taylor]: Taking taylor expansion of 0.5 in y 0.631 * [taylor]: Taking taylor expansion of (/ x y) in y 0.631 * [taylor]: Taking taylor expansion of x in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of 0.5 in y 0.631 * [taylor]: Taking taylor expansion of 0 in x 0.633 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.633 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.633 * [taylor]: Taking taylor expansion of 0.5 in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.636 * [taylor]: Taking taylor expansion of 0.5 in x 0.641 * [taylor]: Taking taylor expansion of 0 in x 0.647 * [taylor]: Taking taylor expansion of 0 in x 0.647 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.647 * [approximate]: Taking taylor expansion of (fma 0.5 (/ y x) 0.5) in (y x) around 0 0.647 * [taylor]: Taking taylor expansion of (fma 0.5 (/ y x) 0.5) in x 0.648 * [taylor]: Rewrote expression to (+ (* 0.5 (/ y x)) 0.5) 0.648 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.648 * [taylor]: Taking taylor expansion of 0.5 in x 0.648 * [taylor]: Taking taylor expansion of (/ y x) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of 0.5 in x 0.648 * [taylor]: Taking taylor expansion of (fma 0.5 (/ y x) 0.5) in y 0.648 * [taylor]: Rewrote expression to (+ (* 0.5 (/ y x)) 0.5) 0.648 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.648 * [taylor]: Taking taylor expansion of 0.5 in y 0.648 * [taylor]: Taking taylor expansion of (/ y x) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of x in y 0.648 * [taylor]: Taking taylor expansion of 0.5 in y 0.648 * [taylor]: Taking taylor expansion of (fma 0.5 (/ y x) 0.5) in y 0.648 * [taylor]: Rewrote expression to (+ (* 0.5 (/ y x)) 0.5) 0.648 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.648 * [taylor]: Taking taylor expansion of 0.5 in y 0.648 * [taylor]: Taking taylor expansion of (/ y x) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of x in y 0.648 * [taylor]: Taking taylor expansion of 0.5 in y 0.649 * [taylor]: Taking taylor expansion of 0.5 in x 0.649 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.649 * [taylor]: Taking taylor expansion of 0.5 in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of 0 in x 0.652 * [taylor]: Taking taylor expansion of 0 in x 0.654 * [taylor]: Taking taylor expansion of 0 in x 0.654 * [approximate]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in (y x) around 0 0.654 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in x 0.654 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.654 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.654 * [taylor]: Taking taylor expansion of 0.5 in x 0.654 * [taylor]: Taking taylor expansion of (/ x y) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of 0.5 in x 0.654 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in y 0.654 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.654 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.654 * [taylor]: Taking taylor expansion of 0.5 in y 0.654 * [taylor]: Taking taylor expansion of (/ x y) in y 0.654 * [taylor]: Taking taylor expansion of x in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of 0.5 in y 0.654 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in y 0.655 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.655 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.655 * [taylor]: Taking taylor expansion of 0.5 in y 0.655 * [taylor]: Taking taylor expansion of (/ x y) in y 0.655 * [taylor]: Taking taylor expansion of x in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of 0.5 in y 0.655 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.655 * [taylor]: Taking taylor expansion of 0.5 in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of 0.5 in x 0.659 * [taylor]: Taking taylor expansion of 0 in x 0.661 * [taylor]: Taking taylor expansion of 0 in x 0.662 * [approximate]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in (y x) around 0 0.662 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in x 0.662 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.662 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.662 * [taylor]: Taking taylor expansion of 0.5 in x 0.662 * [taylor]: Taking taylor expansion of (/ x y) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of y in x 0.662 * [taylor]: Taking taylor expansion of 0.5 in x 0.662 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in y 0.662 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.662 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.662 * [taylor]: Taking taylor expansion of 0.5 in y 0.662 * [taylor]: Taking taylor expansion of (/ x y) in y 0.662 * [taylor]: Taking taylor expansion of x in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.662 * [taylor]: Taking taylor expansion of 0.5 in y 0.662 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in y 0.663 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.663 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.663 * [taylor]: Taking taylor expansion of 0.5 in y 0.663 * [taylor]: Taking taylor expansion of (/ x y) in y 0.663 * [taylor]: Taking taylor expansion of x in y 0.663 * [taylor]: Taking taylor expansion of y in y 0.663 * [taylor]: Taking taylor expansion of 0.5 in y 0.663 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.663 * [taylor]: Taking taylor expansion of 0.5 in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of 0.5 in x 0.667 * [taylor]: Taking taylor expansion of 0 in x 0.670 * [taylor]: Taking taylor expansion of 0 in x 0.670 * * * [progress]: simplifying candidates 0.671 * [simplify]: Simplifying using # : (expm1 (/ (fma 0.5 (/ y x) 0.5) y)) (log1p (/ (fma 0.5 (/ y x) 0.5) y)) (- (log (fma 0.5 (/ y x) 0.5)) (log y)) (log (/ (fma 0.5 (/ y x) 0.5) y)) (exp (/ (fma 0.5 (/ y x) 0.5) y)) (/ (* (* (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5)) (fma 0.5 (/ y x) 0.5)) (* (* y y) y)) (* (cbrt (/ (fma 0.5 (/ y x) 0.5) y)) (cbrt (/ (fma 0.5 (/ y x) 0.5) y))) (cbrt (/ (fma 0.5 (/ y x) 0.5) y)) (* (* (/ (fma 0.5 (/ y x) 0.5) y) (/ (fma 0.5 (/ y x) 0.5) y)) (/ (fma 0.5 (/ y x) 0.5) y)) (sqrt (/ (fma 0.5 (/ y x) 0.5) y)) (sqrt (/ (fma 0.5 (/ y x) 0.5) y)) (- (fma 0.5 (/ y x) 0.5)) (- y) (/ (* (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt (fma 0.5 (/ y x) 0.5))) (* (cbrt y) (cbrt y))) (/ (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt y)) (/ (* (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt (fma 0.5 (/ y x) 0.5))) (sqrt y)) (/ (cbrt (fma 0.5 (/ y x) 0.5)) (sqrt y)) (/ (* (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt (fma 0.5 (/ y x) 0.5))) 1) (/ (cbrt (fma 0.5 (/ y x) 0.5)) y) (/ (sqrt (fma 0.5 (/ y x) 0.5)) (* (cbrt y) (cbrt y))) (/ (sqrt (fma 0.5 (/ y x) 0.5)) (cbrt y)) (/ (sqrt (fma 0.5 (/ y x) 0.5)) (sqrt y)) (/ (sqrt (fma 0.5 (/ y x) 0.5)) (sqrt y)) (/ (sqrt (fma 0.5 (/ y x) 0.5)) 1) (/ (sqrt (fma 0.5 (/ y x) 0.5)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (fma 0.5 (/ y x) 0.5) (cbrt y)) (/ 1 (sqrt y)) (/ (fma 0.5 (/ y x) 0.5) (sqrt y)) (/ 1 1) (/ (fma 0.5 (/ y x) 0.5) y) (/ 1 y) (/ y (fma 0.5 (/ y x) 0.5)) (/ (fma 0.5 (/ y x) 0.5) (* (cbrt y) (cbrt y))) (/ (fma 0.5 (/ y x) 0.5) (sqrt y)) (/ (fma 0.5 (/ y x) 0.5) 1) (/ y (cbrt (fma 0.5 (/ y x) 0.5))) (/ y (sqrt (fma 0.5 (/ y x) 0.5))) (/ y (fma 0.5 (/ y x) 0.5)) (expm1 (fma 0.5 (/ y x) 0.5)) (log1p (fma 0.5 (/ y x) 0.5)) (* 0.5 (/ y x)) (log (fma 0.5 (/ y x) 0.5)) (exp (fma 0.5 (/ y x) 0.5)) (* (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt (fma 0.5 (/ y x) 0.5))) (cbrt (fma 0.5 (/ y x) 0.5)) (* (* (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5)) (fma 0.5 (/ y x) 0.5)) (sqrt (fma 0.5 (/ y x) 0.5)) (sqrt (fma 0.5 (/ y x) 0.5)) (+ (* 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) 0.675 * * [simplify]: iteration 0 : 108 enodes (cost 237 ) 0.678 * * [simplify]: iteration 1 : 319 enodes (cost 218 ) 0.683 * * [simplify]: iteration 2 : 1171 enodes (cost 218 ) 0.708 * * [simplify]: iteration 3 : 5001 enodes (cost 215 ) 0.709 * [simplify]: Simplified to: (expm1 (/ (fma 0.5 (/ y x) 0.5) y)) (log1p (/ (fma 0.5 (/ y x) 0.5) y)) (log (/ (fma 0.5 (/ y x) 0.5) y)) (log (/ (fma 0.5 (/ y x) 0.5) y)) (exp (/ (fma 0.5 (/ y x) 0.5) y)) (pow (/ (fma 0.5 (/ y x) 0.5) y) 3) (* (cbrt (/ (fma 0.5 (/ y x) 0.5) y)) (cbrt (/ (fma 0.5 (/ y x) 0.5) y))) (cbrt (/ (fma 0.5 (/ y x) 0.5) y)) (pow (/ (fma 0.5 (/ y x) 0.5) y) 3) (sqrt (/ (fma 0.5 (/ y x) 0.5) y)) (sqrt (/ (fma 0.5 (/ y x) 0.5) y)) (- (fma 0.5 (/ y x) 0.5)) (- y) (/ (* (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt (fma 0.5 (/ y x) 0.5))) (* (cbrt y) (cbrt y))) (/ (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt y)) (/ (* (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt (fma 0.5 (/ y x) 0.5))) (sqrt y)) (/ (cbrt (fma 0.5 (/ y x) 0.5)) (sqrt y)) (* (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt (fma 0.5 (/ y x) 0.5))) (/ (cbrt (fma 0.5 (/ y x) 0.5)) y) (/ (sqrt (fma 0.5 (/ y x) 0.5)) (* (cbrt y) (cbrt y))) (/ (sqrt (fma 0.5 (/ y x) 0.5)) (cbrt y)) (/ (sqrt (fma 0.5 (/ y x) 0.5)) (sqrt y)) (/ (sqrt (fma 0.5 (/ y x) 0.5)) (sqrt y)) (sqrt (fma 0.5 (/ y x) 0.5)) (/ (sqrt (fma 0.5 (/ y x) 0.5)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (fma 0.5 (/ y x) 0.5) (cbrt y)) (/ 1 (sqrt y)) (/ (fma 0.5 (/ y x) 0.5) (sqrt y)) 1 (/ (fma 0.5 (/ y x) 0.5) y) (/ 1 y) (/ y (fma 0.5 (/ y x) 0.5)) (/ (fma 0.5 (/ y x) 0.5) (* (cbrt y) (cbrt y))) (/ (fma 0.5 (/ y x) 0.5) (sqrt y)) (fma 0.5 (/ y x) 0.5) (/ y (cbrt (fma 0.5 (/ y x) 0.5))) (/ y (sqrt (fma 0.5 (/ y x) 0.5))) (/ y (fma 0.5 (/ y x) 0.5)) (expm1 (fma 0.5 (/ y x) 0.5)) (log1p (fma 0.5 (/ y x) 0.5)) (* 0.5 (/ y x)) (log (fma 0.5 (/ y x) 0.5)) (exp (fma 0.5 (/ y x) 0.5)) (* (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt (fma 0.5 (/ y x) 0.5))) (cbrt (fma 0.5 (/ y x) 0.5)) (pow (fma 0.5 (/ y x) 0.5) 3) (sqrt (fma 0.5 (/ y x) 0.5)) (sqrt (fma 0.5 (/ y x) 0.5)) (fma (/ 0.5 y) 1 (/ 0.5 x)) (fma (/ 0.5 y) 1 (/ 0.5 x)) (fma (/ 0.5 y) 1 (/ 0.5 x)) (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5) 0.710 * * * [progress]: adding candidates to table 0.795 * [progress]: [Phase 3 of 3] Extracting. 0.795 * * [regime]: Finding splitpoints for: (# # #) 0.795 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.795 * * * * [regimes]: Trying to branch on y from (# # #) 0.824 * * * * [regimes]: Trying to branch on x from (# # #) 0.847 * * * [regime]: Found split indices: #