11.189 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (/ (+ x y) (* (* x 2.0) y)) 0.021 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.022 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.023 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.025 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.026 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.026 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.047 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.047 * [taylor]: Taking taylor expansion of 0.5 in y 0.047 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.047 * [taylor]: Taking taylor expansion of (+ x y) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (* x y) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.048 * [taylor]: Taking taylor expansion of 0.5 in x 0.048 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.048 * [taylor]: Taking taylor expansion of (+ x y) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (* x y) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.048 * [taylor]: Taking taylor expansion of 0.5 in x 0.048 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.048 * [taylor]: Taking taylor expansion of (+ x y) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (* x y) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of 0.5 in y 0.050 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.050 * [taylor]: Taking taylor expansion of 0.5 in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.059 * [taylor]: Taking taylor expansion of 0.5 in y 0.059 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (* y x) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.060 * [taylor]: Taking taylor expansion of 0.5 in x 0.060 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (* y x) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.060 * [taylor]: Taking taylor expansion of 0.5 in x 0.060 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* y x) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.062 * [taylor]: Taking taylor expansion of 0.5 in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of 0.5 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.076 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.076 * [taylor]: Taking taylor expansion of -0.5 in y 0.076 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of (* y x) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.077 * [taylor]: Taking taylor expansion of -0.5 in x 0.077 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (* y x) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.077 * [taylor]: Taking taylor expansion of -0.5 in x 0.077 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (* y x) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.080 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.080 * [taylor]: Taking taylor expansion of 0.5 in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.082 * [taylor]: Taking taylor expansion of 0.5 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.099 * * * [progress]: simplifying candidates 0.099 * [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))) 0.103 * * [simplify]: iteration 0 : 220 enodes (cost 188 ) 0.108 * * [simplify]: iteration 1 : 940 enodes (cost 152 ) 0.128 * * [simplify]: iteration 2 : 5001 enodes (cost 152 ) 0.129 * [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))) 0.129 * * * [progress]: adding candidates to table 0.176 * * [progress]: iteration 2 / 4 0.176 * * * [progress]: picking best candidate 0.180 * * * * [pick]: Picked # 0.180 * * * [progress]: localizing error 0.185 * * * [progress]: generating rewritten candidates 0.185 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.203 * * * [progress]: generating series expansions 0.203 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.203 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in (y x) around 0 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of 1 in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of 0 in x 0.208 * [taylor]: Taking taylor expansion of 0 in x 0.209 * [taylor]: Taking taylor expansion of 0 in x 0.209 * [approximate]: Taking taylor expansion of (+ x y) in (y x) around 0 0.209 * [taylor]: Taking taylor expansion of (+ x y) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (+ x y) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (+ x y) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of 1 in x 0.210 * [taylor]: Taking taylor expansion of 0 in x 0.211 * [taylor]: Taking taylor expansion of 0 in x 0.211 * [approximate]: Taking taylor expansion of (- (+ x y)) in (y x) around 0 0.211 * [taylor]: Taking taylor expansion of (- (+ x y)) in x 0.211 * [taylor]: Taking taylor expansion of (+ x y) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of (- (+ x y)) in y 0.211 * [taylor]: Taking taylor expansion of (+ x y) in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (- (+ x y)) in y 0.211 * [taylor]: Taking taylor expansion of (+ x y) in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (- x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.213 * [taylor]: Taking taylor expansion of 0 in x 0.213 * [taylor]: Taking taylor expansion of 0 in x 0.213 * * * [progress]: simplifying candidates 0.214 * [simplify]: Simplifying using # : (* (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)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) 0.217 * * [simplify]: iteration 0 : 101 enodes (cost 104 ) 0.220 * * [simplify]: iteration 1 : 345 enodes (cost 94 ) 0.226 * * [simplify]: iteration 2 : 1153 enodes (cost 91 ) 0.242 * * [simplify]: iteration 3 : 2775 enodes (cost 90 ) 0.279 * * [simplify]: iteration 4 : 5001 enodes (cost 90 ) 0.279 * [simplify]: Simplified to: (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 y) (/ 1 x)) y) (/ (/ 1 x) 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)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) 0.280 * * * [progress]: adding candidates to table 0.315 * * [progress]: iteration 3 / 4 0.315 * * * [progress]: picking best candidate 0.318 * * * * [pick]: Picked # 0.318 * * * [progress]: localizing error 0.325 * * * [progress]: generating rewritten candidates 0.325 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.352 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.364 * * * [progress]: generating series expansions 0.364 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.364 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.364 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.365 * [taylor]: Taking taylor expansion of 0.5 in y 0.365 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.365 * [taylor]: Taking taylor expansion of (+ x y) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of (* x y) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.365 * [taylor]: Taking taylor expansion of 0.5 in x 0.365 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.365 * [taylor]: Taking taylor expansion of (+ x y) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of (* x y) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.366 * [taylor]: Taking taylor expansion of 0.5 in x 0.366 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.366 * [taylor]: Taking taylor expansion of (+ x y) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (* x y) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of 0.5 in y 0.368 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.368 * [taylor]: Taking taylor expansion of 0.5 in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.380 * [taylor]: Taking taylor expansion of 0.5 in y 0.380 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.380 * [taylor]: Taking taylor expansion of 0.5 in x 0.380 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.381 * [taylor]: Taking taylor expansion of 0.5 in x 0.381 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.383 * [taylor]: Taking taylor expansion of 0.5 in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of 0.5 in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.398 * [approximate]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.398 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.398 * [taylor]: Taking taylor expansion of -0.5 in y 0.398 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.398 * [taylor]: Taking taylor expansion of x in y 0.398 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.398 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.399 * [taylor]: Taking taylor expansion of x in y 0.399 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.399 * [taylor]: Taking taylor expansion of -0.5 in x 0.399 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.399 * [taylor]: Taking taylor expansion of -0.5 in x 0.399 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.402 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.402 * [taylor]: Taking taylor expansion of 0.5 in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.404 * [taylor]: Taking taylor expansion of 0.5 in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.419 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.419 * [approximate]: Taking taylor expansion of (/ (+ x y) y) in (x y) around 0 0.419 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.419 * [taylor]: Taking taylor expansion of (+ x y) in y 0.419 * [taylor]: Taking taylor expansion of x in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.419 * [taylor]: Taking taylor expansion of (+ x y) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.419 * [taylor]: Taking taylor expansion of (+ x y) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of 1 in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 0.422 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of y in y 0.425 * [taylor]: Taking taylor expansion of 1 in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 0.430 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.430 * [taylor]: Taking taylor expansion of x in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of 1 in y 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.437 * * * [progress]: simplifying candidates 0.438 * [simplify]: Simplifying using # : (* (/ 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)) (- (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))) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 0.444 * * [simplify]: iteration 0 : 442 enodes (cost 581 ) 0.454 * * [simplify]: iteration 1 : 2349 enodes (cost 487 ) 0.490 * * [simplify]: iteration 2 : 5001 enodes (cost 485 ) 0.493 * [simplify]: Simplified to: (/ (/ (+ 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))) 2.0) x) (/ (/ (sqrt (/ (+ x y) y)) 2.0) x) (/ (/ (* (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)) 2.0) x) (/ (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) (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)) (* (+ (* y (- y x)) (* x x)) y) (* y (- x y)) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 0.493 * * * [progress]: adding candidates to table 0.639 * * [progress]: iteration 4 / 4 0.640 * * * [progress]: picking best candidate 0.641 * * * * [pick]: Picked # 0.641 * * * [progress]: localizing error 0.648 * * * [progress]: generating rewritten candidates 0.648 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.696 * * * [progress]: generating series expansions 0.696 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.696 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ (/ x y) 1) x)) in (x y) around 0 0.696 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ (/ x y) 1) x)) in y 0.696 * [taylor]: Taking taylor expansion of 0.5 in y 0.696 * [taylor]: Taking taylor expansion of (/ (+ (/ x y) 1) x) in y 0.696 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.696 * [taylor]: Taking taylor expansion of (/ x y) in y 0.696 * [taylor]: Taking taylor expansion of x in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of 1 in y 0.696 * [taylor]: Taking taylor expansion of x in y 0.696 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ (/ x y) 1) x)) in x 0.696 * [taylor]: Taking taylor expansion of 0.5 in x 0.696 * [taylor]: Taking taylor expansion of (/ (+ (/ x y) 1) x) in x 0.696 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.696 * [taylor]: Taking taylor expansion of (/ x y) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of y in x 0.696 * [taylor]: Taking taylor expansion of 1 in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ (/ x y) 1) x)) in x 0.697 * [taylor]: Taking taylor expansion of 0.5 in x 0.697 * [taylor]: Taking taylor expansion of (/ (+ (/ x y) 1) x) in x 0.697 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.697 * [taylor]: Taking taylor expansion of (/ x y) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of 1 in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of 0.5 in y 0.699 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.699 * [taylor]: Taking taylor expansion of 0.5 in y 0.699 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [taylor]: Taking taylor expansion of 0 in y 0.709 * [taylor]: Taking taylor expansion of 0 in y 0.709 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ y x) 1) x)) in (x y) around 0 0.709 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ y x) 1) x)) in y 0.709 * [taylor]: Taking taylor expansion of 0.5 in y 0.709 * [taylor]: Taking taylor expansion of (* (+ (/ y x) 1) x) in y 0.709 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.709 * [taylor]: Taking taylor expansion of (/ y x) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.709 * [taylor]: Taking taylor expansion of 1 in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.709 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ y x) 1) x)) in x 0.709 * [taylor]: Taking taylor expansion of 0.5 in x 0.709 * [taylor]: Taking taylor expansion of (* (+ (/ y x) 1) x) in x 0.709 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.709 * [taylor]: Taking taylor expansion of (/ y x) in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of 1 in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ y x) 1) x)) in x 0.709 * [taylor]: Taking taylor expansion of 0.5 in x 0.709 * [taylor]: Taking taylor expansion of (* (+ (/ y x) 1) x) in x 0.709 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.709 * [taylor]: Taking taylor expansion of (/ y x) in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of 1 in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of 0 in y 0.711 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.711 * [taylor]: Taking taylor expansion of 0.5 in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of 0.5 in y 0.717 * [taylor]: Taking taylor expansion of 0 in y 0.721 * [taylor]: Taking taylor expansion of 0 in y 0.721 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ y x) 1) x)) in (x y) around 0 0.721 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ y x) 1) x)) in y 0.721 * [taylor]: Taking taylor expansion of -0.5 in y 0.721 * [taylor]: Taking taylor expansion of (* (+ (/ y x) 1) x) in y 0.721 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.721 * [taylor]: Taking taylor expansion of (/ y x) in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of 1 in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ y x) 1) x)) in x 0.721 * [taylor]: Taking taylor expansion of -0.5 in x 0.721 * [taylor]: Taking taylor expansion of (* (+ (/ y x) 1) x) in x 0.721 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.721 * [taylor]: Taking taylor expansion of (/ y x) in x 0.721 * [taylor]: Taking taylor expansion of y in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of 1 in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ y x) 1) x)) in x 0.722 * [taylor]: Taking taylor expansion of -0.5 in x 0.722 * [taylor]: Taking taylor expansion of (* (+ (/ y x) 1) x) in x 0.722 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.722 * [taylor]: Taking taylor expansion of (/ y x) in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of 1 in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of 0 in y 0.723 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.723 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.723 * [taylor]: Taking taylor expansion of 0.5 in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.726 * [taylor]: Taking taylor expansion of 0.5 in y 0.730 * [taylor]: Taking taylor expansion of 0 in y 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.735 * * * [progress]: simplifying candidates 0.736 * [simplify]: Simplifying using # : (* (/ 1 (* x 2.0)) (+ (/ x y) 1)) (+ (- (+ (log x) (log 2.0))) (log (+ (/ x y) 1))) (+ (- (log (* x 2.0))) (log (+ (/ x y) 1))) (+ (- 0 (+ (log x) (log 2.0))) (log (+ (/ x y) 1))) (+ (- 0 (log (* x 2.0))) (log (+ (/ x y) 1))) (+ (- (log 1) (+ (log x) (log 2.0))) (log (+ (/ x y) 1))) (+ (- (log 1) (log (* x 2.0))) (log (+ (/ x y) 1))) (+ (log (/ 1 (* x 2.0))) (log (+ (/ x y) 1))) (log (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (exp (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (* (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* (+ (/ x y) 1) (+ (/ x y) 1)) (+ (/ x y) 1))) (* (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* (+ (/ x y) 1) (+ (/ x y) 1)) (+ (/ x y) 1))) (* (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (* (* (+ (/ x y) 1) (+ (/ x y) 1)) (+ (/ x y) 1))) (* (cbrt (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (cbrt (* (/ 1 (* x 2.0)) (+ (/ x y) 1)))) (cbrt (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (* (* (* (/ 1 (* x 2.0)) (+ (/ x y) 1)) (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (sqrt (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (sqrt (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (* 1 (+ (pow (/ x y) 3) (pow 1 3))) (* (* x 2.0) (+ (* (/ x y) (/ x y)) (- (* 1 1) (* (/ x y) 1)))) (* 1 (- (* (/ x y) (/ x y)) (* 1 1))) (* (* x 2.0) (- (/ x y) 1)) (* (sqrt (/ 1 (* x 2.0))) (sqrt (+ (/ x y) 1))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (+ (/ x y) 1))) (* (/ 1 (* x 2.0)) (/ x y)) (* (/ 1 (* x 2.0)) 1) (* (/ x y) (/ 1 (* x 2.0))) (* 1 (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (* (cbrt (+ (/ x y) 1)) (cbrt (+ (/ x y) 1)))) (* (/ 1 (* x 2.0)) (sqrt (+ (/ x y) 1))) (* (/ 1 (* x 2.0)) 1) (* (/ 1 (* x 2.0)) 1) (* (cbrt (/ 1 (* x 2.0))) (+ (/ x y) 1)) (* (sqrt (/ 1 (* x 2.0))) (+ (/ x y) 1)) (* (/ (cbrt 1) 2.0) (+ (/ x y) 1)) (* (/ (sqrt 1) 2.0) (+ (/ x y) 1)) (* (/ 1 2.0) (+ (/ x y) 1)) (* (/ 1 (* x 2.0)) (+ (/ x y) 1)) (* (/ 1 (* x 2.0)) (+ (/ x y) 1)) (* (/ 1 (* x 2.0)) (+ (pow (/ x y) 3) (pow 1 3))) (* (/ 1 (* x 2.0)) (- (* (/ x y) (/ x y)) (* 1 1))) (* 1 (+ (/ x y) 1)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.740 * * [simplify]: iteration 0 : 332 enodes (cost 273 ) 0.749 * * [simplify]: iteration 1 : 1879 enodes (cost 224 ) 0.776 * * [simplify]: iteration 2 : 5001 enodes (cost 224 ) 0.777 * [simplify]: Simplified to: (/ (+ (/ x y) 1) (* x 2.0)) (log (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (log (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (log (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (log (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (log (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (log (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (log (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (log (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (exp (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (pow (/ (+ (/ x y) 1) (* x 2.0)) 3) (pow (/ (+ (/ x y) 1) (* x 2.0)) 3) (pow (/ (+ (/ x y) 1) (* x 2.0)) 3) (* (cbrt (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (cbrt (* (/ 1 (* x 2.0)) (+ (/ x y) 1)))) (cbrt (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (pow (/ (+ (/ x y) 1) (* x 2.0)) 3) (sqrt (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (sqrt (* (/ 1 (* x 2.0)) (+ (/ x y) 1))) (+ (pow (/ x y) 3) 1) (* x (* 2.0 (- (+ (* (/ x y) (/ x y)) 1) (/ x y)))) (- (* (/ x y) (/ x y)) 1) (* (* x 2.0) (- (/ x y) 1)) (* (sqrt (/ 1 (* x 2.0))) (sqrt (+ (/ x y) 1))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (+ (/ x y) 1))) (/ (/ x y) (* x 2.0)) (/ 1 (* x 2.0)) (/ (/ x y) (* x 2.0)) (/ 1 (* x 2.0)) (/ (/ (* (cbrt (+ (/ x y) 1)) (cbrt (+ (/ x y) 1))) 2.0) x) (/ (/ (sqrt (+ (/ x y) 1)) 2.0) x) (/ 1 (* x 2.0)) (/ 1 (* x 2.0)) (* (cbrt (/ 1 (* x 2.0))) (+ (/ x y) 1)) (* (sqrt (/ 1 (* x 2.0))) (+ (/ x y) 1)) (/ (+ (/ x y) 1) 2.0) (/ (+ (/ x y) 1) 2.0) (/ (+ (/ x y) 1) 2.0) (/ (+ (/ x y) 1) (* x 2.0)) (/ (+ (/ x y) 1) (* x 2.0)) (/ (+ (pow (/ x y) 3) 1) (* x 2.0)) (/ (- (* (/ x y) (/ x y)) 1) (* x 2.0)) (+ (/ x y) 1) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) 0.778 * * * [progress]: adding candidates to table 0.839 * [progress]: [Phase 3 of 3] Extracting. 0.839 * * [regime]: Finding splitpoints for: (# #) 0.839 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.839 * * * * [regimes]: Trying to branch on y from (# #) 1.054 * * * * [regimes]: Trying to branch on x from (# #) 1.065 * * * [regime]: Found split indices: #