29.667 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ (+ x y) (* (* x 2.0) y)) 0.017 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.018 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.020 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.021 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.022 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.022 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.038 * * * [progress]: generating series expansions 0.038 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.038 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.038 * [taylor]: Taking taylor expansion of 0.5 in y 0.038 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.038 * [taylor]: Taking taylor expansion of (+ x y) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (* x y) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.039 * [taylor]: Taking taylor expansion of 0.5 in x 0.039 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.039 * [taylor]: Taking taylor expansion of (+ x y) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (* x y) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.039 * [taylor]: Taking taylor expansion of 0.5 in x 0.039 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.039 * [taylor]: Taking taylor expansion of (+ x y) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (* x y) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of 0.5 in y 0.041 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.041 * [taylor]: Taking taylor expansion of 0.5 in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.050 * [taylor]: Taking taylor expansion of 0.5 in y 0.050 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (* y x) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.050 * [taylor]: Taking taylor expansion of 0.5 in x 0.050 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (* y x) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.051 * [taylor]: Taking taylor expansion of 0.5 in x 0.051 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (* y x) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.053 * [taylor]: Taking taylor expansion of 0.5 in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 0.5 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.069 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.069 * [taylor]: Taking taylor expansion of -0.5 in y 0.069 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (* y x) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.070 * [taylor]: Taking taylor expansion of -0.5 in x 0.070 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (* y x) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.070 * [taylor]: Taking taylor expansion of -0.5 in x 0.070 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (* y x) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.072 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.072 * [taylor]: Taking taylor expansion of 0.5 in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.075 * [taylor]: Taking taylor expansion of 0.5 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * * * [progress]: simplifying candidates 0.089 * [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))) 0.093 * * [simplify]: iteration 0 : 225 enodes (cost 198 ) 0.097 * * [simplify]: iteration 1 : 956 enodes (cost 161 ) 0.118 * * [simplify]: iteration 2 : 5001 enodes (cost 161 ) 0.119 * [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))) 0.119 * * * [progress]: adding candidates to table 0.165 * * [progress]: iteration 2 / 4 0.166 * * * [progress]: picking best candidate 0.168 * * * * [pick]: Picked # 0.168 * * * [progress]: localizing error 0.174 * * * [progress]: generating rewritten candidates 0.174 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 0.181 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.183 * * * [progress]: generating series expansions 0.183 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 0.183 * [approximate]: Taking taylor expansion of (/ 0.5 x) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.183 * [taylor]: Taking taylor expansion of 0.5 in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.184 * [taylor]: Taking taylor expansion of 0.5 in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.187 * [approximate]: Taking taylor expansion of (* 0.5 x) in (x) around 0 0.187 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.187 * [taylor]: Taking taylor expansion of 0.5 in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.187 * [taylor]: Taking taylor expansion of 0.5 in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.193 * [approximate]: Taking taylor expansion of (* -0.5 x) in (x) around 0 0.193 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.193 * [taylor]: Taking taylor expansion of -0.5 in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.193 * [taylor]: Taking taylor expansion of -0.5 in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.199 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.199 * [approximate]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in (y x) around 0 0.199 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in x 0.199 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.199 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.199 * [taylor]: Taking taylor expansion of 0.5 in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.199 * [taylor]: Taking taylor expansion of 0.5 in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.199 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.200 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.200 * [taylor]: Taking taylor expansion of 0.5 in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.200 * [taylor]: Taking taylor expansion of 0.5 in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.200 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.200 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.200 * [taylor]: Taking taylor expansion of 0.5 in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.200 * [taylor]: Taking taylor expansion of 0.5 in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of 0.5 in x 0.202 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.202 * [taylor]: Taking taylor expansion of 0.5 in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of 0 in x 0.206 * [taylor]: Taking taylor expansion of 0 in x 0.208 * [taylor]: Taking taylor expansion of 0 in x 0.208 * [approximate]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in (y x) around 0 0.209 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in x 0.209 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.209 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.209 * [taylor]: Taking taylor expansion of 0.5 in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.209 * [taylor]: Taking taylor expansion of 0.5 in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.209 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.209 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.209 * [taylor]: Taking taylor expansion of 0.5 in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.209 * [taylor]: Taking taylor expansion of 0.5 in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.209 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.209 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.209 * [taylor]: Taking taylor expansion of 0.5 in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.209 * [taylor]: Taking taylor expansion of 0.5 in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.210 * [taylor]: Taking taylor expansion of 0.5 in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of 0.5 in x 0.213 * [taylor]: Taking taylor expansion of 0 in x 0.215 * [taylor]: Taking taylor expansion of 0 in x 0.216 * [approximate]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in (y x) around 0 0.216 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in x 0.216 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.216 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in x 0.216 * [taylor]: Taking taylor expansion of 0.5 in x 0.216 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.216 * [taylor]: Taking taylor expansion of -1 in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.216 * [taylor]: Taking taylor expansion of -0.5 in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.216 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.216 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.216 * [taylor]: Taking taylor expansion of 0.5 in y 0.216 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.216 * [taylor]: Taking taylor expansion of -1 in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.216 * [taylor]: Taking taylor expansion of -0.5 in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.216 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.216 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.216 * [taylor]: Taking taylor expansion of 0.5 in y 0.216 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.216 * [taylor]: Taking taylor expansion of -1 in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.216 * [taylor]: Taking taylor expansion of -0.5 in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.217 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.217 * [taylor]: Taking taylor expansion of 0.5 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.220 * [taylor]: Taking taylor expansion of 0.5 in x 0.226 * [taylor]: Taking taylor expansion of 0 in x 0.229 * [taylor]: Taking taylor expansion of 0 in x 0.229 * * * [progress]: simplifying candidates 0.230 * [simplify]: Simplifying using # : (expm1 (* 0.5 (/ 1 x))) (log1p (* 0.5 (/ 1 x))) (* 0.5 (/ 1 x)) (+ (log 0.5) (- (log x))) (+ (log 0.5) (- 0 (log x))) (+ (log 0.5) (- (log 1) (log x))) (+ (log 0.5) (log (/ 1 x))) (log (* 0.5 (/ 1 x))) (exp (* 0.5 (/ 1 x))) (* (* (* 0.5 0.5) 0.5) (/ (* (* 1 1) 1) (* (* x x) x))) (* (* (* 0.5 0.5) 0.5) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (* 0.5 (/ 1 x))) (cbrt (* 0.5 (/ 1 x)))) (cbrt (* 0.5 (/ 1 x))) (* (* (* 0.5 (/ 1 x)) (* 0.5 (/ 1 x))) (* 0.5 (/ 1 x))) (sqrt (* 0.5 (/ 1 x))) (sqrt (* 0.5 (/ 1 x))) (* (sqrt 0.5) (sqrt (/ 1 x))) (* (sqrt 0.5) (sqrt (/ 1 x))) (* (sqrt 0.5) (/ (sqrt 1) (sqrt x))) (* (sqrt 0.5) (/ (sqrt 1) (sqrt x))) (* (sqrt 0.5) (/ 1 (sqrt x))) (* (sqrt 0.5) (/ 1 (sqrt x))) (* 0.5 (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* 0.5 (sqrt (/ 1 x))) (* 0.5 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* 0.5 (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* 0.5 (/ (* (cbrt 1) (cbrt 1)) 1)) (* 0.5 (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* 0.5 (/ (sqrt 1) (sqrt x))) (* 0.5 (/ (sqrt 1) 1)) (* 0.5 (/ 1 (* (cbrt x) (cbrt x)))) (* 0.5 (/ 1 (sqrt x))) (* 0.5 (/ 1 1)) (* 0.5 1) (* 0.5 1) (* (cbrt 0.5) (/ 1 x)) (* (sqrt 0.5) (/ 1 x)) (* 0.5 (/ 1 x)) (* 0.5 1) (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 x) (/ 0.5 x) (/ 0.5 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))) 0.234 * * [simplify]: iteration 0 : 196 enodes (cost 214 ) 0.239 * * [simplify]: iteration 1 : 815 enodes (cost 180 ) 0.253 * * [simplify]: iteration 2 : 3154 enodes (cost 160 ) 0.280 * * [simplify]: iteration 3 : 5001 enodes (cost 160 ) 0.281 * [simplify]: Simplified to: (expm1 (* 0.5 (/ 1 x))) (log1p (* 0.5 (/ 1 x))) (/ 0.5 x) (- (log 0.5) (log x)) (- (log 0.5) (log x)) (- (log 0.5) (log x)) (- (log 0.5) (log x)) (- (log 0.5) (log x)) (exp (* 0.5 (/ 1 x))) (pow (/ 0.5 x) 3) (pow (/ 0.5 x) 3) (* (cbrt (* 0.5 (/ 1 x))) (cbrt (* 0.5 (/ 1 x)))) (cbrt (* 0.5 (/ 1 x))) (pow (/ 0.5 x) 3) (sqrt (* 0.5 (/ 1 x))) (sqrt (* 0.5 (/ 1 x))) (* (sqrt 0.5) (sqrt (/ 1 x))) (* (sqrt 0.5) (sqrt (/ 1 x))) (/ (sqrt 0.5) (sqrt x)) (/ (sqrt 0.5) (sqrt x)) (/ (sqrt 0.5) (sqrt x)) (/ (sqrt 0.5) (sqrt x)) (* 0.5 (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* 0.5 (sqrt (/ 1 x))) (/ 0.5 (* (cbrt x) (cbrt x))) (/ 0.5 (sqrt x)) 0.5 (/ 0.5 (* (cbrt x) (cbrt x))) (/ 0.5 (sqrt x)) 0.5 (/ 0.5 (* (cbrt x) (cbrt x))) (/ 0.5 (sqrt x)) 0.5 0.5 0.5 (/ (cbrt 0.5) x) (/ (sqrt 0.5) x) (/ 0.5 x) 0.5 (expm1 (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (log1p (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (/ 0.5 y) (log (+ (/ 0.5 x) (/ 0.5 y))) (exp (+ (/ 0.5 x) (/ 0.5 y))) (* (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 (+ (/ 0.5 x) (/ 0.5 y)) 3) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (/ 0.5 x) (/ 0.5 x) (/ 0.5 x) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) 0.282 * * * [progress]: adding candidates to table 0.356 * * [progress]: iteration 3 / 4 0.356 * * * [progress]: picking best candidate 0.357 * * * * [pick]: Picked # 0.357 * * * [progress]: localizing error 0.363 * * * [progress]: generating rewritten candidates 0.363 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.371 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.380 * * * [progress]: generating series expansions 0.380 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.380 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.380 * [taylor]: Taking taylor expansion of 0.5 in y 0.380 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.380 * [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 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 (* 0.5 (/ (+ x y) (* x y))) in x 0.380 * [taylor]: Taking taylor expansion of 0.5 in x 0.381 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.381 * [taylor]: Taking taylor expansion of (+ x y) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (* x y) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.381 * [taylor]: Taking taylor expansion of 0.5 in x 0.381 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.381 * [taylor]: Taking taylor expansion of (+ x y) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (* x y) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of 0.5 in y 0.383 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.383 * [taylor]: Taking taylor expansion of 0.5 in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.391 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.391 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.392 * [taylor]: Taking taylor expansion of 0.5 in y 0.392 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.392 * [taylor]: Taking taylor expansion of x in y 0.392 * [taylor]: Taking taylor expansion of (* y x) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of x in y 0.392 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.392 * [taylor]: Taking taylor expansion of 0.5 in x 0.392 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (* y x) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.392 * [taylor]: Taking taylor expansion of 0.5 in x 0.392 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (* y x) in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.395 * [taylor]: Taking taylor expansion of 0.5 in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of 0.5 in y 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.411 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.411 * [taylor]: Taking taylor expansion of -0.5 in y 0.411 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.411 * [taylor]: Taking taylor expansion of (* y x) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.411 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.411 * [taylor]: Taking taylor expansion of -0.5 in x 0.411 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.411 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (* y x) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.412 * [taylor]: Taking taylor expansion of -0.5 in x 0.412 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (* y x) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.414 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.414 * [taylor]: Taking taylor expansion of 0.5 in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.416 * [taylor]: Taking taylor expansion of 0.5 in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.429 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.430 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 0.430 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 0.430 * [taylor]: Taking taylor expansion of 0.5 in y 0.430 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.430 * [taylor]: Taking taylor expansion of (+ x y) in y 0.430 * [taylor]: Taking taylor expansion of x in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of x in y 0.430 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.430 * [taylor]: Taking taylor expansion of 0.5 in x 0.430 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.430 * [taylor]: Taking taylor expansion of (+ x y) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.430 * [taylor]: Taking taylor expansion of 0.5 in x 0.430 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.430 * [taylor]: Taking taylor expansion of (+ x y) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.430 * [taylor]: Taking taylor expansion of 0.5 in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of 0.5 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.437 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.437 * [taylor]: Taking taylor expansion of 0.5 in y 0.437 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.437 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.437 * [taylor]: Taking taylor expansion of 0.5 in x 0.437 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.438 * [taylor]: Taking taylor expansion of 0.5 in x 0.438 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [taylor]: Taking taylor expansion of 0.5 in y 0.442 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.442 * [taylor]: Taking taylor expansion of 0.5 in y 0.442 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.449 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.449 * [taylor]: Taking taylor expansion of 0.5 in y 0.449 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.449 * [taylor]: Taking taylor expansion of 0.5 in x 0.449 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.450 * [taylor]: Taking taylor expansion of 0.5 in x 0.450 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [taylor]: Taking taylor expansion of 0.5 in y 0.455 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.455 * [taylor]: Taking taylor expansion of 0.5 in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.461 * * * [progress]: simplifying candidates 0.463 * [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) 0.468 * * [simplify]: iteration 0 : 345 enodes (cost 558 ) 0.474 * * [simplify]: iteration 1 : 1350 enodes (cost 499 ) 0.498 * * [simplify]: iteration 2 : 5001 enodes (cost 496 ) 0.502 * [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) 0.502 * * * [progress]: adding candidates to table 0.609 * [progress]: [Phase 3 of 3] Extracting. 0.609 * * [regime]: Finding splitpoints for: (# #) 0.609 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.609 * * * * [regimes]: Trying to branch on y from (# #) 0.619 * * * * [regimes]: Trying to branch on x from (# #) 0.631 * * * [regime]: Found split indices: #