17.970 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (/ (+ x y) (* (* x 2.0) y)) 0.019 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.022 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.025 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.028 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.030 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.031 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.051 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.051 * [taylor]: Taking taylor expansion of 0.5 in y 0.051 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.051 * [taylor]: Taking taylor expansion of (+ x y) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (* x y) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.052 * [taylor]: Taking taylor expansion of 0.5 in x 0.052 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.052 * [taylor]: Taking taylor expansion of (+ x y) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (* x y) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.052 * [taylor]: Taking taylor expansion of 0.5 in x 0.052 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.052 * [taylor]: Taking taylor expansion of (+ x y) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (* x y) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of 0.5 in y 0.055 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.055 * [taylor]: Taking taylor expansion of 0.5 in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [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 0.070 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.070 * [taylor]: Taking taylor expansion of 0.5 in y 0.070 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [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 0.071 * [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 (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.071 * [taylor]: Taking taylor expansion of 0.5 in x 0.071 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [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 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.073 * [taylor]: Taking taylor expansion of 0.5 in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of 0.5 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.088 * [taylor]: Taking taylor expansion of -0.5 in y 0.088 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (* y x) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.088 * [taylor]: Taking taylor expansion of -0.5 in x 0.088 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (* y x) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.089 * [taylor]: Taking taylor expansion of -0.5 in x 0.089 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (* y x) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.092 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.092 * [taylor]: Taking taylor expansion of 0.5 in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.094 * [taylor]: Taking taylor expansion of 0.5 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.108 * * * [progress]: simplifying candidates 0.109 * [simplify]: Simplifying using # : (- (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))) 0.114 * * [simplify]: iteration 0 : 220 enodes (cost 188 ) 0.120 * * [simplify]: iteration 1 : 940 enodes (cost 152 ) 0.144 * * [simplify]: iteration 2 : 5001 enodes (cost 152 ) 0.146 * [simplify]: Simplified to: (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)) (* (+ (* y (- y x)) (* x x)) (* (* x 2.0) y)) (* (* (* x 2.0) y) (- x y)) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) 0.146 * * * [progress]: adding candidates to table 0.197 * * [progress]: iteration 2 / 4 0.198 * * * [progress]: picking best candidate 0.201 * * * * [pick]: Picked # 0.201 * * * [progress]: localizing error 0.207 * * * [progress]: generating rewritten candidates 0.208 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.225 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.239 * * * [progress]: generating series expansions 0.240 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.240 * [approximate]: Taking taylor expansion of (* 0.5 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.240 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 y) (/ 1 x))) in x 0.240 * [taylor]: Taking taylor expansion of 0.5 in x 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 y) (/ 1 x))) in y 0.241 * [taylor]: Taking taylor expansion of 0.5 in y 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 y) (/ 1 x))) in y 0.241 * [taylor]: Taking taylor expansion of 0.5 in y 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of 0.5 in x 0.243 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of 0.5 in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of 0 in x 0.248 * [taylor]: Taking taylor expansion of 0 in x 0.252 * [taylor]: Taking taylor expansion of 0 in x 0.252 * [approximate]: Taking taylor expansion of (* 0.5 (+ x y)) in (y x) around 0 0.252 * [taylor]: Taking taylor expansion of (* 0.5 (+ x y)) in x 0.252 * [taylor]: Taking taylor expansion of 0.5 in x 0.252 * [taylor]: Taking taylor expansion of (+ x y) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (* 0.5 (+ x y)) in y 0.252 * [taylor]: Taking taylor expansion of 0.5 in y 0.252 * [taylor]: Taking taylor expansion of (+ x y) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (* 0.5 (+ x y)) in y 0.252 * [taylor]: Taking taylor expansion of 0.5 in y 0.252 * [taylor]: Taking taylor expansion of (+ x y) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.252 * [taylor]: Taking taylor expansion of 0.5 in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of 0.5 in x 0.258 * [taylor]: Taking taylor expansion of 0 in x 0.260 * [taylor]: Taking taylor expansion of 0 in x 0.260 * [approximate]: Taking taylor expansion of (* -0.5 (+ x y)) in (y x) around 0 0.260 * [taylor]: Taking taylor expansion of (* -0.5 (+ x y)) in x 0.260 * [taylor]: Taking taylor expansion of -0.5 in x 0.260 * [taylor]: Taking taylor expansion of (+ x y) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (* -0.5 (+ x y)) in y 0.260 * [taylor]: Taking taylor expansion of -0.5 in y 0.261 * [taylor]: Taking taylor expansion of (+ x y) in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (* -0.5 (+ x y)) in y 0.261 * [taylor]: Taking taylor expansion of -0.5 in y 0.261 * [taylor]: Taking taylor expansion of (+ x y) in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.261 * [taylor]: Taking taylor expansion of -0.5 in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.262 * [taylor]: Taking taylor expansion of 0.5 in x 0.264 * [taylor]: Taking taylor expansion of 0 in x 0.266 * [taylor]: Taking taylor expansion of 0 in x 0.267 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.268 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in (y x) around 0 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of 1 in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of 0 in x 0.272 * [taylor]: Taking taylor expansion of 0 in x 0.274 * [taylor]: Taking taylor expansion of 0 in x 0.274 * [approximate]: Taking taylor expansion of (+ x y) in (y x) around 0 0.274 * [taylor]: Taking taylor expansion of (+ x y) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (+ x y) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (+ x y) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of 1 in x 0.275 * [taylor]: Taking taylor expansion of 0 in x 0.275 * [taylor]: Taking taylor expansion of 0 in x 0.275 * [approximate]: Taking taylor expansion of (- (+ x y)) in (y x) around 0 0.275 * [taylor]: Taking taylor expansion of (- (+ x y)) in x 0.275 * [taylor]: Taking taylor expansion of (+ x y) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (- (+ x y)) in y 0.276 * [taylor]: Taking taylor expansion of (+ x y) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (- (+ x y)) in y 0.276 * [taylor]: Taking taylor expansion of (+ x y) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (- x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of -1 in x 0.277 * [taylor]: Taking taylor expansion of 0 in x 0.278 * [taylor]: Taking taylor expansion of 0 in x 0.278 * * * [progress]: simplifying candidates 0.279 * [simplify]: Simplifying using # : (* 0.5 (+ (/ 1 y) (/ 1 x))) (+ (log 0.5) (log (+ (/ 1 y) (/ 1 x)))) (log (* 0.5 (+ (/ 1 y) (/ 1 x)))) (exp (* 0.5 (+ (/ 1 y) (/ 1 x)))) (* (* (* 0.5 0.5) 0.5) (* (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 y) (/ 1 x)))) (* (cbrt (* 0.5 (+ (/ 1 y) (/ 1 x)))) (cbrt (* 0.5 (+ (/ 1 y) (/ 1 x))))) (cbrt (* 0.5 (+ (/ 1 y) (/ 1 x)))) (* (* (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x)))) (* 0.5 (+ (/ 1 y) (/ 1 x)))) (sqrt (* 0.5 (+ (/ 1 y) (/ 1 x)))) (sqrt (* 0.5 (+ (/ 1 y) (/ 1 x)))) (* (sqrt 0.5) (sqrt (+ (/ 1 y) (/ 1 x)))) (* (sqrt 0.5) (sqrt (+ (/ 1 y) (/ 1 x)))) (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x)) (* (/ 1 y) 0.5) (* (/ 1 x) 0.5) (* 0.5 (* (cbrt (+ (/ 1 y) (/ 1 x))) (cbrt (+ (/ 1 y) (/ 1 x))))) (* 0.5 (sqrt (+ (/ 1 y) (/ 1 x)))) (* 0.5 1) (* 0.5 (/ (* (cbrt 1) (cbrt 1)) 1)) (* 0.5 (/ (sqrt 1) 1)) (* 0.5 (/ 1 1)) (* 0.5 1) (* 0.5 1) (* 0.5 1) (* 0.5 1) (* (cbrt 0.5) (+ (/ 1 y) (/ 1 x))) (* (sqrt 0.5) (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (* 1 x) (* y 1))) (* 0.5 (+ (pow (/ 1 y) 3) (pow (/ 1 x) 3))) (* 0.5 (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) (* (exp (/ 1 y)) (exp (/ 1 x))) (log (+ (/ 1 y) (/ 1 x))) (exp (+ (/ 1 y) (/ 1 x))) (* (cbrt (+ (/ 1 y) (/ 1 x))) (cbrt (+ (/ 1 y) (/ 1 x)))) (cbrt (+ (/ 1 y) (/ 1 x))) (* (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 y) (/ 1 x))) (sqrt (+ (/ 1 y) (/ 1 x))) (sqrt (+ (/ 1 y) (/ 1 x))) (+ (* 1 x) (* y 1)) (* y x) (+ (pow (/ 1 y) 3) (pow (/ 1 x) 3)) (+ (* (/ 1 y) (/ 1 y)) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) (- (/ 1 y) (/ 1 x)) (+ (/ (cbrt 1) y) (/ (cbrt 1) x)) (+ (/ (sqrt 1) y) (/ (sqrt 1) x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 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))) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) 0.284 * * [simplify]: iteration 0 : 207 enodes (cost 251 ) 0.290 * * [simplify]: iteration 1 : 947 enodes (cost 216 ) 0.313 * * [simplify]: iteration 2 : 4329 enodes (cost 211 ) 0.366 * * [simplify]: iteration 3 : 5001 enodes (cost 209 ) 0.369 * [simplify]: Simplified to: (+ (/ 0.5 x) (/ 0.5 y)) (log (* 0.5 (+ (/ 1 y) (/ 1 x)))) (log (* 0.5 (+ (/ 1 y) (/ 1 x)))) (exp (* 0.5 (+ (/ 1 y) (/ 1 x)))) (pow (+ (/ 0.5 x) (/ 0.5 y)) 3) (* (cbrt (* 0.5 (+ (/ 1 y) (/ 1 x)))) (cbrt (* 0.5 (+ (/ 1 y) (/ 1 x))))) (cbrt (* 0.5 (+ (/ 1 y) (/ 1 x)))) (pow (+ (/ 0.5 x) (/ 0.5 y)) 3) (sqrt (* 0.5 (+ (/ 1 y) (/ 1 x)))) (sqrt (* 0.5 (+ (/ 1 y) (/ 1 x)))) (* (sqrt 0.5) (sqrt (+ (/ 1 y) (/ 1 x)))) (* (sqrt 0.5) (sqrt (+ (/ 1 y) (/ 1 x)))) (/ 0.5 y) (/ 0.5 x) (/ 0.5 y) (/ 0.5 x) (* 0.5 (* (cbrt (+ (/ 1 y) (/ 1 x))) (cbrt (+ (/ 1 y) (/ 1 x))))) (* 0.5 (sqrt (+ (/ 1 y) (/ 1 x)))) 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 (* (cbrt 0.5) (+ (/ 1 y) (/ 1 x))) (* (sqrt 0.5) (+ (/ 1 y) (/ 1 x))) (+ (/ 0.5 x) (/ 0.5 y)) (* (+ y x) 0.5) (* 0.5 (+ (pow (/ 1 y) 3) (pow (/ 1 x) 3))) (- (/ (/ 0.5 y) y) (/ (/ 0.5 x) x)) (exp (+ (/ 1 y) (/ 1 x))) (log (+ (/ 1 y) (/ 1 x))) (exp (+ (/ 1 y) (/ 1 x))) (* (cbrt (+ (/ 1 y) (/ 1 x))) (cbrt (+ (/ 1 y) (/ 1 x)))) (cbrt (+ (/ 1 y) (/ 1 x))) (pow (+ (/ 1 y) (/ 1 x)) 3) (sqrt (+ (/ 1 y) (/ 1 x))) (sqrt (+ (/ 1 y) (/ 1 x))) (+ y x) (* y x) (+ (pow (/ 1 y) 3) (pow (/ 1 x) 3)) (+ (/ (/ 1 x) x) (- (/ (/ 1 y) y) (/ (/ 1 y) x))) (+ (/ (- (/ 1 x)) x) (/ (/ 1 y) y)) (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) 0.369 * * * [progress]: adding candidates to table 0.454 * * [progress]: iteration 3 / 4 0.454 * * * [progress]: picking best candidate 0.456 * * * * [pick]: Picked # 0.456 * * * [progress]: localizing error 0.462 * * * [progress]: generating rewritten candidates 0.462 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.473 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.483 * * * [progress]: generating series expansions 0.483 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.484 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.484 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.484 * [taylor]: Taking taylor expansion of 0.5 in y 0.484 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.484 * [taylor]: Taking taylor expansion of (+ x y) in y 0.484 * [taylor]: Taking taylor expansion of x in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of (* x y) in y 0.484 * [taylor]: Taking taylor expansion of x in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.484 * [taylor]: Taking taylor expansion of 0.5 in x 0.484 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.484 * [taylor]: Taking taylor expansion of (+ x y) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (* x y) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.485 * [taylor]: Taking taylor expansion of 0.5 in x 0.485 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.485 * [taylor]: Taking taylor expansion of (+ x y) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of (* x y) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of 0.5 in y 0.488 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.488 * [taylor]: Taking taylor expansion of 0.5 in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.498 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.498 * [taylor]: Taking taylor expansion of 0.5 in y 0.498 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.499 * [taylor]: Taking taylor expansion of x in y 0.499 * [taylor]: Taking taylor expansion of (* y x) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of x in y 0.499 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.499 * [taylor]: Taking taylor expansion of 0.5 in x 0.499 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (* y x) in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.499 * [taylor]: Taking taylor expansion of 0.5 in x 0.499 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (* y x) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.503 * [taylor]: Taking taylor expansion of 0.5 in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of 0.5 in y 0.509 * [taylor]: Taking taylor expansion of 0 in y 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.522 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.523 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.523 * [taylor]: Taking taylor expansion of -0.5 in y 0.523 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.523 * [taylor]: Taking taylor expansion of x in y 0.523 * [taylor]: Taking taylor expansion of (* y x) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of x in y 0.523 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.524 * [taylor]: Taking taylor expansion of -0.5 in x 0.524 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (* y x) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.524 * [taylor]: Taking taylor expansion of -0.5 in x 0.524 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (* y x) in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.527 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.528 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.528 * [taylor]: Taking taylor expansion of 0.5 in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.530 * [taylor]: Taking taylor expansion of 0.5 in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.546 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.546 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 0.546 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 0.546 * [taylor]: Taking taylor expansion of 0.5 in y 0.546 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.546 * [taylor]: Taking taylor expansion of (+ x y) in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.546 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.546 * [taylor]: Taking taylor expansion of 0.5 in x 0.546 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.546 * [taylor]: Taking taylor expansion of (+ x y) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.547 * [taylor]: Taking taylor expansion of 0.5 in x 0.547 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.547 * [taylor]: Taking taylor expansion of (+ x y) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.547 * [taylor]: Taking taylor expansion of 0.5 in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of 0.5 in y 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.555 * [taylor]: Taking taylor expansion of 0 in y 0.555 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.555 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.555 * [taylor]: Taking taylor expansion of 0.5 in y 0.555 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.556 * [taylor]: Taking taylor expansion of x in y 0.556 * [taylor]: Taking taylor expansion of x in y 0.556 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.556 * [taylor]: Taking taylor expansion of 0.5 in x 0.556 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.556 * [taylor]: Taking taylor expansion of 0.5 in x 0.556 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.557 * [taylor]: Taking taylor expansion of y in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [taylor]: Taking taylor expansion of 0.5 in y 0.562 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.562 * [taylor]: Taking taylor expansion of 0.5 in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.570 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.570 * [taylor]: Taking taylor expansion of 0.5 in y 0.570 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.571 * [taylor]: Taking taylor expansion of 0.5 in x 0.571 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.571 * [taylor]: Taking taylor expansion of 0.5 in x 0.571 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.575 * [taylor]: Taking taylor expansion of 0.5 in y 0.577 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.577 * [taylor]: Taking taylor expansion of 0.5 in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.586 * * * [progress]: simplifying candidates 0.587 * [simplify]: Simplifying using # : (- (- (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)) (- (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) 0.594 * * [simplify]: iteration 0 : 337 enodes (cost 543 ) 0.604 * * [simplify]: iteration 1 : 1330 enodes (cost 485 ) 0.632 * * [simplify]: iteration 2 : 5001 enodes (cost 485 ) 0.636 * [simplify]: Simplified to: (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)) (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)) (* (+ (* y (- y x)) (* x x)) (* x 2.0)) (* (* x 2.0) (- x y)) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) 0.636 * * * [progress]: adding candidates to table 0.759 * [progress]: [Phase 3 of 3] Extracting. 0.759 * * [regime]: Finding splitpoints for: (# #) 0.760 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.760 * * * * [regimes]: Trying to branch on y from (# #) 0.771 * * * * [regimes]: Trying to branch on x from (# #) 0.783 * * * [regime]: Found split indices: #