33.822 * [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 ) 0.019 * * [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)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.039 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.045 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.045 * [taylor]: Taking taylor expansion of 0.5 in y 0.045 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.045 * [taylor]: Taking taylor expansion of (+ x y) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (* x y) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.046 * [taylor]: Taking taylor expansion of 0.5 in x 0.046 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.046 * [taylor]: Taking taylor expansion of (+ x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.046 * [taylor]: Taking taylor expansion of 0.5 in x 0.046 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.046 * [taylor]: Taking taylor expansion of (+ x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (* x y) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of 0.5 in y 0.048 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.048 * [taylor]: Taking taylor expansion of 0.5 in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.057 * [taylor]: Taking taylor expansion of 0.5 in y 0.057 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (* y x) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.058 * [taylor]: Taking taylor expansion of 0.5 in x 0.058 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* y x) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.058 * [taylor]: Taking taylor expansion of 0.5 in x 0.058 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (* y x) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.061 * [taylor]: Taking taylor expansion of 0.5 in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 0.5 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.075 * [taylor]: Taking taylor expansion of -0.5 in y 0.075 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (* y x) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.075 * [taylor]: Taking taylor expansion of -0.5 in x 0.076 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* y x) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.076 * [taylor]: Taking taylor expansion of -0.5 in x 0.076 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* y x) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.078 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.078 * [taylor]: Taking taylor expansion of 0.5 in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.081 * [taylor]: Taking taylor expansion of 0.5 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.094 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.094 * [approximate]: Taking taylor expansion of (* 2.0 (* x y)) in (x y) around 0 0.094 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.094 * [taylor]: Taking taylor expansion of 2.0 in y 0.094 * [taylor]: Taking taylor expansion of (* x y) in y 0.094 * [taylor]: Taking taylor expansion of x in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.094 * [taylor]: Taking taylor expansion of 2.0 in x 0.094 * [taylor]: Taking taylor expansion of (* x y) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.094 * [taylor]: Taking taylor expansion of 2.0 in x 0.094 * [taylor]: Taking taylor expansion of (* x y) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.095 * [taylor]: Taking taylor expansion of 2.0 in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [approximate]: Taking taylor expansion of (/ 2.0 (* x y)) in (x y) around 0 0.102 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.102 * [taylor]: Taking taylor expansion of 2.0 in y 0.102 * [taylor]: Taking taylor expansion of (* x y) in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.102 * [taylor]: Taking taylor expansion of 2.0 in x 0.102 * [taylor]: Taking taylor expansion of (* x y) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.102 * [taylor]: Taking taylor expansion of 2.0 in x 0.103 * [taylor]: Taking taylor expansion of (* x y) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.103 * [taylor]: Taking taylor expansion of 2.0 in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [approximate]: Taking taylor expansion of (/ 2.0 (* x y)) in (x y) around 0 0.108 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.108 * [taylor]: Taking taylor expansion of 2.0 in y 0.108 * [taylor]: Taking taylor expansion of (* x y) in y 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.108 * [taylor]: Taking taylor expansion of 2.0 in x 0.108 * [taylor]: Taking taylor expansion of (* x y) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.108 * [taylor]: Taking taylor expansion of 2.0 in x 0.108 * [taylor]: Taking taylor expansion of (* x y) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.109 * [taylor]: Taking taylor expansion of 2.0 in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.116 * * * [progress]: simplifying candidates 0.117 * [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)) (expm1 (* (* x 2.0) y)) (log1p (* (* x 2.0) y)) (* (* x 2.0) y) (* (* x 2.0) y) (+ (+ (log x) (log 2.0)) (log y)) (+ (log (* x 2.0)) (log y)) (log (* (* x 2.0) y)) (exp (* (* x 2.0) y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y)) (* (cbrt (* (* x 2.0) y)) (cbrt (* (* x 2.0) y))) (cbrt (* (* x 2.0) y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y)) (sqrt (* (* x 2.0) y)) (sqrt (* (* x 2.0) y)) (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (* x 2.0) (sqrt y)) (* (* x 2.0) 1) (* 2.0 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))) (* 2.0 (* x y)) (* 2.0 (* x y)) (* 2.0 (* x y)) 0.121 * * [simplify]: iteration 0 : 254 enodes (cost 276 ) 0.127 * * [simplify]: iteration 1 : 1359 enodes (cost 224 ) 0.153 * * [simplify]: iteration 2 : 5002 enodes (cost 224 ) 0.155 * [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)) (* (* 2.0 (* x y)) (fma y (- y x) (* x x))) (* (* (* x 2.0) y) (- x y)) (expm1 (* (* x 2.0) y)) (log1p (* (* x 2.0) y)) (* 2.0 (* x y)) (* 2.0 (* x y)) (log (* (* x 2.0) y)) (log (* (* x 2.0) y)) (log (* (* x 2.0) y)) (exp (* (* x 2.0) y)) (pow (* 2.0 (* x y)) 3) (pow (* 2.0 (* x y)) 3) (* (cbrt (* (* x 2.0) y)) (cbrt (* (* x 2.0) y))) (cbrt (* (* x 2.0) y)) (pow (* 2.0 (* x y)) 3) (sqrt (* (* x 2.0) y)) (sqrt (* (* x 2.0) y)) (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (* x 2.0) (sqrt y)) (* x 2.0) (* 2.0 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))) (* 2.0 (* x y)) (* 2.0 (* x y)) (* 2.0 (* x y)) 0.155 * * * [progress]: adding candidates to table 0.227 * * [progress]: iteration 2 / 4 0.227 * * * [progress]: picking best candidate 0.231 * * * * [pick]: Picked # 0.231 * * * [progress]: localizing error 0.238 * * * [progress]: generating rewritten candidates 0.238 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.239 * * * [progress]: generating series expansions 0.239 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.239 * [approximate]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in (y x) around 0 0.239 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in x 0.239 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.239 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.239 * [taylor]: Taking taylor expansion of 0.5 in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.239 * [taylor]: Taking taylor expansion of 0.5 in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.239 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.239 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.239 * [taylor]: Taking taylor expansion of 0.5 in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.240 * [taylor]: Taking taylor expansion of 0.5 in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.240 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.240 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.240 * [taylor]: Taking taylor expansion of 0.5 in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.240 * [taylor]: Taking taylor expansion of 0.5 in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of 0.5 in x 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of 0.5 in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of 0 in x 0.246 * [taylor]: Taking taylor expansion of 0 in x 0.249 * [taylor]: Taking taylor expansion of 0 in x 0.249 * [approximate]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in (y x) around 0 0.249 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in x 0.249 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.249 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.249 * [taylor]: Taking taylor expansion of 0.5 in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.249 * [taylor]: Taking taylor expansion of 0.5 in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.249 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.249 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.249 * [taylor]: Taking taylor expansion of 0.5 in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.249 * [taylor]: Taking taylor expansion of 0.5 in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.249 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.249 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.249 * [taylor]: Taking taylor expansion of 0.5 in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.249 * [taylor]: Taking taylor expansion of 0.5 in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.250 * [taylor]: Taking taylor expansion of 0.5 in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of 0.5 in x 0.254 * [taylor]: Taking taylor expansion of 0 in x 0.256 * [taylor]: Taking taylor expansion of 0 in x 0.256 * [approximate]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in (y x) around 0 0.256 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in x 0.256 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.256 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in x 0.256 * [taylor]: Taking taylor expansion of 0.5 in x 0.256 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.256 * [taylor]: Taking taylor expansion of -1 in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.256 * [taylor]: Taking taylor expansion of -0.5 in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.257 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.257 * [taylor]: Taking taylor expansion of 0.5 in y 0.257 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.257 * [taylor]: Taking taylor expansion of -1 in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.257 * [taylor]: Taking taylor expansion of -0.5 in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.257 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.257 * [taylor]: Taking taylor expansion of 0.5 in y 0.257 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.257 * [taylor]: Taking taylor expansion of -1 in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.257 * [taylor]: Taking taylor expansion of -0.5 in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.258 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.258 * [taylor]: Taking taylor expansion of 0.5 in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.260 * [taylor]: Taking taylor expansion of 0.5 in x 0.264 * [taylor]: Taking taylor expansion of 0 in x 0.267 * [taylor]: Taking taylor expansion of 0 in x 0.268 * * * [progress]: simplifying candidates 0.268 * [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))) 0.271 * * [simplify]: iteration 0 : 30 enodes (cost 74 ) 0.272 * * [simplify]: iteration 1 : 86 enodes (cost 65 ) 0.275 * * [simplify]: iteration 2 : 435 enodes (cost 64 ) 0.284 * * [simplify]: iteration 3 : 1988 enodes (cost 59 ) 0.319 * * [simplify]: iteration 4 : 5001 enodes (cost 59 ) 0.320 * [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)) 0.320 * * * [progress]: adding candidates to table 0.346 * * [progress]: iteration 3 / 4 0.346 * * * [progress]: picking best candidate 0.349 * * * * [pick]: Picked # 0.349 * * * [progress]: localizing error 0.355 * * * [progress]: generating rewritten candidates 0.355 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.368 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.372 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.382 * * * [progress]: generating series expansions 0.382 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.382 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.382 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.382 * [taylor]: Taking taylor expansion of 0.5 in y 0.382 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.382 * [taylor]: Taking taylor expansion of (+ x y) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (* x y) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.383 * [taylor]: Taking taylor expansion of 0.5 in x 0.383 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.383 * [taylor]: Taking taylor expansion of (+ x y) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of (* x y) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.383 * [taylor]: Taking taylor expansion of 0.5 in x 0.383 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.383 * [taylor]: Taking taylor expansion of (+ x y) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of (* x y) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of 0.5 in y 0.385 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.385 * [taylor]: Taking taylor expansion of 0.5 in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.394 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.394 * [taylor]: Taking taylor expansion of 0.5 in y 0.394 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.394 * [taylor]: Taking taylor expansion of x in y 0.394 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.394 * [taylor]: Taking taylor expansion of y 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 0.395 * [taylor]: Taking taylor expansion of x in y 0.395 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.395 * [taylor]: Taking taylor expansion of 0.5 in x 0.395 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.395 * [taylor]: Taking taylor expansion of y 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 (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.395 * [taylor]: Taking taylor expansion of 0.5 in x 0.395 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.395 * [taylor]: Taking taylor expansion of y 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 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.400 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.401 * [taylor]: Taking taylor expansion of 0.5 in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of 0.5 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [approximate]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.416 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.416 * [taylor]: Taking taylor expansion of -0.5 in y 0.416 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.416 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.416 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.416 * [taylor]: Taking taylor expansion of -0.5 in x 0.416 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.416 * [taylor]: Taking taylor expansion of -0.5 in x 0.417 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.419 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.419 * [taylor]: Taking taylor expansion of 0.5 in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.421 * [taylor]: Taking taylor expansion of 0.5 in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.436 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.436 * [approximate]: Taking taylor expansion of (/ 0.5 x) in (x) around 0 0.436 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.436 * [taylor]: Taking taylor expansion of 0.5 in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.436 * [taylor]: Taking taylor expansion of 0.5 in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.440 * [approximate]: Taking taylor expansion of (* 0.5 x) in (x) around 0 0.440 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.440 * [taylor]: Taking taylor expansion of 0.5 in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.440 * [taylor]: Taking taylor expansion of 0.5 in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.445 * [approximate]: Taking taylor expansion of (* -0.5 x) in (x) around 0 0.445 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.445 * [taylor]: Taking taylor expansion of -0.5 in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.445 * [taylor]: Taking taylor expansion of -0.5 in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.452 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.452 * [approximate]: Taking taylor expansion of (/ (+ x y) y) in (x y) around 0 0.452 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.452 * [taylor]: Taking taylor expansion of (+ x y) in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.452 * [taylor]: Taking taylor expansion of (+ x y) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.452 * [taylor]: Taking taylor expansion of (+ x y) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of 1 in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.455 * [taylor]: Taking taylor expansion of 0 in y 0.455 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 0.455 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.455 * [taylor]: Taking taylor expansion of x in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of 1 in y 0.458 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 0.462 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of 1 in y 0.465 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.468 * * * [progress]: simplifying candidates 0.470 * [simplify]: Simplifying using # : (expm1 (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log1p (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (+ (- (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- (log (* x 2.0))) (log (/ (+ x y) y))) (+ (- 0 (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- 0 (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- 0 (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- 0 (log (* x 2.0))) (log (/ (+ x y) y))) (+ (- (log 1) (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- (log 1) (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- (log 1) (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- (log 1) (log (* x 2.0))) (log (/ (+ x y) y))) (+ (log (/ 1 (* x 2.0))) (- (log (+ x y)) (log y))) (+ (log (/ 1 (* x 2.0))) (log (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (exp (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y)))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (* (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* 1 (+ x y)) (* (* x 2.0) y) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (* (/ 1 (* x 2.0)) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y)))) (* (/ 1 (* x 2.0)) (sqrt (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) (sqrt y))) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) 1)) (* (/ 1 (* x 2.0)) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ 1 (sqrt y))) (* (/ 1 (* x 2.0)) (/ 1 1)) (* (/ 1 (* x 2.0)) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ 1 (sqrt y))) (* (/ 1 (* x 2.0)) (/ 1 1)) (* (/ 1 (* x 2.0)) 1) (* (/ 1 (* x 2.0)) (+ x y)) (* (cbrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (* (sqrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (* (/ (cbrt 1) 2.0) (/ (+ x y) y)) (* (/ (sqrt 1) 2.0) (/ (+ x y) y)) (* (/ 1 2.0) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (+ x y)) (* 1 (/ (+ x y) y)) (expm1 (/ 1 (* x 2.0))) (log1p (/ 1 (* x 2.0))) (- 1) (- 1) (- (+ (log x) (log 2.0))) (- (log (* x 2.0))) (- 0 (+ (log x) (log 2.0))) (- 0 (log (* x 2.0))) (- (log 1) (+ (log x) (log 2.0))) (- (log 1) (log (* x 2.0))) (log (/ 1 (* x 2.0))) (exp (/ 1 (* x 2.0))) (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (cbrt (/ 1 (* x 2.0))) (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))) (- 1) (- (* x 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (/ (cbrt 1) 2.0) (/ (sqrt 1) x) (/ (sqrt 1) 2.0) (/ 1 x) (/ 1 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) 1) (/ 1 x) (/ (* x 2.0) (cbrt 1)) (/ (* x 2.0) (sqrt 1)) (/ (* x 2.0) 1) (expm1 (/ (+ x y) y)) (log1p (/ (+ x y) y)) (- (log (+ x y)) (log y)) (log (/ (+ x y) y)) (exp (/ (+ x y) y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) (cbrt (/ (+ x y) y)) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (- (+ x y)) (- y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) (/ 1 1) (/ (+ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) (/ 1 1) (/ (+ x y) y) (/ 1 y) (/ y (+ x y)) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ y (cbrt (+ x y))) (/ y (sqrt (+ x y))) (/ y (+ x y)) (/ y (+ x y)) (* y (+ (* x x) (- (* y y) (* x y)))) (* 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))) (/ 0.5 x) (/ 0.5 x) (/ 0.5 x) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 0.476 * * [simplify]: iteration 0 : 469 enodes (cost 695 ) 0.485 * * [simplify]: iteration 1 : 2490 enodes (cost 587 ) 0.520 * * [simplify]: iteration 2 : 5001 enodes (cost 576 ) 0.526 * [simplify]: Simplified to: (expm1 (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log1p (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (/ (/ (+ x y) y) (* x 2.0)) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (exp (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (* (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y)))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (+ x y) (* (* x 2.0) y) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (/ (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) (* x 2.0)) (/ (sqrt (/ (+ x y) y)) (* x 2.0)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (* x 2.0)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (* x 2.0)) (/ (/ (sqrt (+ x y)) (sqrt y)) (* x 2.0)) (/ (sqrt (+ x y)) (* x 2.0)) (/ (/ 1 (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ 1 (* x 2.0)) (/ (/ 1 (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ 1 (* x 2.0)) (/ 1 (* x 2.0)) (/ (+ x y) (* x 2.0)) (* (cbrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (* (sqrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) y) (* x 2.0)) (/ (/ (+ x y) y) (* x 2.0)) (/ (+ x y) (* x 2.0)) (/ (+ x y) y) (expm1 (/ 1 (* x 2.0))) (log1p (/ 1 (* x 2.0))) (- 1) (- 1) (log (/ 1 (* x 2.0))) (log (/ 1 (* x 2.0))) (log (/ 1 (* x 2.0))) (log (/ 1 (* x 2.0))) (log (/ 1 (* x 2.0))) (log (/ 1 (* x 2.0))) (log (/ 1 (* x 2.0))) (exp (/ 1 (* x 2.0))) (/ 1 (pow (* x 2.0) 3)) (/ 1 (pow (* x 2.0) 3)) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (cbrt (/ 1 (* x 2.0))) (/ 1 (pow (* x 2.0) 3)) (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))) (- 1) (- (* x 2.0)) (/ 1 x) (/ 1 2.0) (/ 1 x) (/ 1 2.0) (/ 1 x) (/ 1 2.0) (/ 1 (* x 2.0)) (* x 2.0) (/ 1 x) (* x 2.0) (* x 2.0) (* x 2.0) (expm1 (/ (+ x y) y)) (log1p (/ (+ x y) y)) (log (/ (+ x y) y)) (log (/ (+ x y) y)) (exp (/ (+ x y) y)) (pow (/ (+ x y) y) 3) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) (cbrt (/ (+ x y) y)) (pow (/ (+ x y) y) 3) (sqrt (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (- (+ x y)) (- y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (sqrt y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (sqrt y)) (sqrt (+ x y)) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) 1 (/ (+ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) 1 (/ (+ x y) y) (/ 1 y) (/ y (+ x y)) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ y (cbrt (+ x y))) (/ y (sqrt (+ x y))) (/ y (+ x y)) (/ y (+ x y)) (* (fma x x (- (* y y) (* x y))) y) (* y (- 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)) (/ 0.5 x) (/ 0.5 x) (/ 0.5 x) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 0.527 * * * [progress]: adding candidates to table 0.667 * * [progress]: iteration 4 / 4 0.667 * * * [progress]: picking best candidate 0.668 * * * * [pick]: Picked # 0.668 * * * [progress]: localizing error 0.674 * * * [progress]: generating rewritten candidates 0.674 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.682 * * * [progress]: generating series expansions 0.682 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.682 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.682 * [taylor]: Taking taylor expansion of 0.5 in y 0.682 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.682 * [taylor]: Taking taylor expansion of (+ x y) in y 0.682 * [taylor]: Taking taylor expansion of x in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.682 * [taylor]: Taking taylor expansion of (* x y) in y 0.682 * [taylor]: Taking taylor expansion of x in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.683 * [taylor]: Taking taylor expansion of 0.5 in x 0.683 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.683 * [taylor]: Taking taylor expansion of (+ x y) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [taylor]: Taking taylor expansion of (* x y) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.683 * [taylor]: Taking taylor expansion of 0.5 in x 0.683 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.683 * [taylor]: Taking taylor expansion of (+ x y) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [taylor]: Taking taylor expansion of (* x y) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.684 * [taylor]: Taking taylor expansion of 0.5 in y 0.685 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.685 * [taylor]: Taking taylor expansion of 0.5 in y 0.685 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of 0 in y 0.690 * [taylor]: Taking taylor expansion of 0 in y 0.694 * [taylor]: Taking taylor expansion of 0 in y 0.694 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.694 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.694 * [taylor]: Taking taylor expansion of 0.5 in y 0.694 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.694 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.695 * [taylor]: Taking taylor expansion of x in y 0.695 * [taylor]: Taking taylor expansion of (* y x) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.695 * [taylor]: Taking taylor expansion of x in y 0.695 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.695 * [taylor]: Taking taylor expansion of 0.5 in x 0.695 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (* y x) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.695 * [taylor]: Taking taylor expansion of 0.5 in x 0.695 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (* y x) in x 0.696 * [taylor]: Taking taylor expansion of y in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of 0 in y 0.698 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.698 * [taylor]: Taking taylor expansion of 0.5 in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.700 * [taylor]: Taking taylor expansion of 0.5 in y 0.703 * [taylor]: Taking taylor expansion of 0 in y 0.707 * [taylor]: Taking taylor expansion of 0 in y 0.711 * [taylor]: Taking taylor expansion of 0 in y 0.711 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.711 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.711 * [taylor]: Taking taylor expansion of -0.5 in y 0.711 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.712 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.712 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.712 * [taylor]: Taking taylor expansion of x in y 0.712 * [taylor]: Taking taylor expansion of (* y x) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.712 * [taylor]: Taking taylor expansion of x in y 0.712 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.712 * [taylor]: Taking taylor expansion of -0.5 in x 0.712 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (* y x) in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.712 * [taylor]: Taking taylor expansion of -0.5 in x 0.712 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (* y x) in x 0.713 * [taylor]: Taking taylor expansion of y in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of 0 in y 0.715 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.715 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.715 * [taylor]: Taking taylor expansion of 0.5 in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.717 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.717 * [taylor]: Taking taylor expansion of 0.5 in y 0.720 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [taylor]: Taking taylor expansion of 0 in y 0.733 * [taylor]: Taking taylor expansion of 0 in y 0.733 * * * [progress]: simplifying candidates 0.734 * [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) (log (* 2.0 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 x) x) (* (* (* 2.0 y) (* 2.0 y)) (* 2.0 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) (/ (cbrt (+ x y)) (* 2.0 y)) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) (* 2.0 y)) (/ 1 x) (/ (+ x y) (* 2.0 y)) (/ 1 x) (/ (+ x y) (* 2.0 y)) (/ 1 (* x (* 2.0 y))) (/ (* x (* 2.0 y)) (+ x y)) (/ (+ x y) x) (/ (* 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))) 0.738 * * [simplify]: iteration 0 : 218 enodes (cost 197 ) 0.742 * * [simplify]: iteration 1 : 907 enodes (cost 160 ) 0.761 * * [simplify]: iteration 2 : 5001 enodes (cost 160 ) 0.762 * [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) (/ (cbrt (+ x y)) (* 2.0 y)) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) (* 2.0 y)) (/ 1 x) (/ (+ x y) (* 2.0 y)) (/ 1 x) (/ (+ x y) (* 2.0 y)) (/ 1 (* x (* 2.0 y))) (/ (* x (* 2.0 y)) (+ x y)) (/ (+ x y) x) (/ (* 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))) 0.762 * * * [progress]: adding candidates to table 0.796 * [progress]: [Phase 3 of 3] Extracting. 0.796 * * [regime]: Finding splitpoints for: (# # #) 0.797 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.797 * * * * [regimes]: Trying to branch on y from (# # #) 0.811 * * * * [regimes]: Trying to branch on x from (# # #) 0.823 * * * [regime]: Found split indices: #