39.736 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.056 * * * [progress]: [2/2] Setting up program. 0.059 * [progress]: [Phase 2 of 3] Improving. 0.059 * [simplify]: Simplifying using # : (+ (+ x y) x) 0.061 * * [simplify]: iteration 0 : 12 enodes (cost 5 ) 0.061 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.062 * [simplify]: Simplified to: (+ x (+ x y)) 0.065 * * [progress]: iteration 1 / 4 0.065 * * * [progress]: picking best candidate 0.067 * * * * [pick]: Picked # 0.067 * * * [progress]: localizing error 0.070 * * * [progress]: generating rewritten candidates 0.070 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.076 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.076 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.076 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.076 * [taylor]: Taking taylor expansion of 2 in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.076 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.076 * [taylor]: Taking taylor expansion of 2 in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.076 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.076 * [taylor]: Taking taylor expansion of 2 in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of 2 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.077 * [taylor]: Taking taylor expansion of 2 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 (+ (/ 1 y) (* 2 (/ 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 (* 2 (/ 1 x)) in x 0.077 * [taylor]: Taking taylor expansion of 2 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 (+ (/ 1 y) (* 2 (/ 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 (* 2 (/ 1 x)) in x 0.077 * [taylor]: Taking taylor expansion of 2 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 2 in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.078 * [taylor]: Taking taylor expansion of 2 in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of 2 in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of 2 in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (neg 2) in y 0.079 * [taylor]: Taking taylor expansion of 2 in y 0.079 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.082 * * * [progress]: simplifying candidates 0.082 * [simplify]: Simplifying using # : (* (* (exp x) (exp y)) (exp x)) (* (exp (+ x y)) (exp x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (* (* (+ (+ x y) x) (+ (+ x y) x)) (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ y x) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 0.124 * * [simplify]: iteration 0 : 4889 enodes (cost 116 ) 0.124 * * [simplify]: iteration 1 : 4889 enodes (cost 116 ) 0.125 * [simplify]: Simplified to: (exp (+ x (+ x y))) (exp (+ x (+ x y))) (log (+ x (+ x y))) (exp (+ x (+ x y))) (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y)))) (cbrt (+ x (+ x y))) (pow (+ x (+ x y)) 3) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (+ (pow (+ x y) 3) (pow x 3)) (+ (* x x) (* y (+ x y))) (* y (+ x (+ x y))) y (+ x (+ x y)) (+ x (+ x y)) (+ x y) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) 0.125 * * * [progress]: adding candidates to table 0.139 * * [progress]: iteration 2 / 4 0.139 * * * [progress]: picking best candidate 0.142 * * * * [pick]: Picked # 0.142 * * * [progress]: localizing error 0.147 * * * [progress]: generating rewritten candidates 0.147 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.161 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.167 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.175 * * * [progress]: generating series expansions 0.175 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.176 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.176 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.176 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.176 * [taylor]: Taking taylor expansion of 2 in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.176 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.176 * [taylor]: Taking taylor expansion of 2 in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.176 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.176 * [taylor]: Taking taylor expansion of 2 in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of 2 in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.177 * [taylor]: Taking taylor expansion of 2 in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of 2 in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of 2 in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of 2 in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [approximate]: Taking taylor expansion of (pow (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in (x y) around 0 0.178 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in y 0.178 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) in y 0.178 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.178 * [taylor]: Taking taylor expansion of 2 in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in x 0.178 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) in x 0.178 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.178 * [taylor]: Taking taylor expansion of 2 in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in x 0.178 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) in x 0.178 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.179 * [taylor]: Taking taylor expansion of 2 in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.179 * [taylor]: Taking taylor expansion of NAN in y 0.179 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow NAN 2) y)) (* 2 (pow NAN 4))) in y 0.179 * [taylor]: Taking taylor expansion of (* 2 (/ (pow NAN 2) y)) in y 0.179 * [taylor]: Taking taylor expansion of 2 in y 0.179 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) y) in y 0.179 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.179 * [taylor]: Taking taylor expansion of NAN in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (* 2 (pow NAN 4)) in y 0.179 * [taylor]: Taking taylor expansion of 2 in y 0.179 * [taylor]: Taking taylor expansion of (pow NAN 4) in y 0.180 * [taylor]: Taking taylor expansion of NAN in y 0.181 * [taylor]: Taking taylor expansion of (+ (* 5 (pow NAN 6)) (+ (* 6 (/ (pow NAN 4) y)) (/ (pow NAN 2) (pow y 2)))) in y 0.181 * [taylor]: Taking taylor expansion of (* 5 (pow NAN 6)) in y 0.181 * [taylor]: Taking taylor expansion of 5 in y 0.181 * [taylor]: Taking taylor expansion of (pow NAN 6) in y 0.181 * [taylor]: Taking taylor expansion of NAN in y 0.181 * [taylor]: Taking taylor expansion of (+ (* 6 (/ (pow NAN 4) y)) (/ (pow NAN 2) (pow y 2))) in y 0.181 * [taylor]: Taking taylor expansion of (* 6 (/ (pow NAN 4) y)) in y 0.181 * [taylor]: Taking taylor expansion of 6 in y 0.181 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) y) in y 0.181 * [taylor]: Taking taylor expansion of (pow NAN 4) in y 0.181 * [taylor]: Taking taylor expansion of NAN in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) (pow y 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.181 * [taylor]: Taking taylor expansion of NAN in y 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.183 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.183 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.183 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.183 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.183 * [taylor]: Taking taylor expansion of 2 in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.183 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.183 * [taylor]: Taking taylor expansion of 2 in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.183 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.183 * [taylor]: Taking taylor expansion of 2 in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of 2 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.183 * [taylor]: Taking taylor expansion of 2 in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.184 * [taylor]: Taking taylor expansion of 2 in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.184 * [taylor]: Taking taylor expansion of 2 in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of 2 in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.185 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.185 * [taylor]: Taking taylor expansion of 2 in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of 2 in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of 2 in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (neg 2) in y 0.185 * [taylor]: Taking taylor expansion of 2 in y 0.185 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.186 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.186 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.186 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.186 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.186 * [taylor]: Taking taylor expansion of 2 in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.186 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.186 * [taylor]: Taking taylor expansion of 2 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.186 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.186 * [taylor]: Taking taylor expansion of 2 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of 2 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.187 * [taylor]: Taking taylor expansion of 2 in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.187 * [taylor]: Taking taylor expansion of 2 in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.187 * [taylor]: Taking taylor expansion of 2 in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of 2 in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.188 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.188 * [taylor]: Taking taylor expansion of 2 in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.188 * [taylor]: Taking taylor expansion of 2 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of 2 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (neg 2) in y 0.189 * [taylor]: Taking taylor expansion of 2 in y 0.189 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.190 * * * [progress]: simplifying candidates 0.191 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ x (+ x y)) (+ x (+ x y))) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (* (+ x (+ x y)) (+ x (+ x y))) (+ 1 1) (+ (log (sqrt (+ x (+ x y)))) (log (sqrt (+ x (+ x y))))) (log (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))) (exp (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))) (* (* (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (sqrt (+ x (+ x y)))) (* (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (sqrt (+ x (+ x y))))) (* (cbrt (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))) (cbrt (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))))) (cbrt (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))) (* (* (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))) (* (+ x (+ x y)) (+ x (+ x y))) (sqrt (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))) (sqrt (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))) (* (sqrt (+ (pow x 3) (pow (+ x y) 3))) (sqrt (+ (pow x 3) (pow (+ x y) 3)))) (* (sqrt (+ (* x x) (- (* (+ x y) (+ x y)) (* x (+ x y))))) (sqrt (+ (* x x) (- (* (+ x y) (+ x y)) (* x (+ x y)))))) (* (sqrt (+ (pow x 3) (pow (+ x y) 3))) (sqrt (- (* x x) (* (+ x y) (+ x y))))) (* (sqrt (+ (* x x) (- (* (+ x y) (+ x y)) (* x (+ x y))))) (sqrt (- x (+ x y)))) (* (sqrt (- (* x x) (* (+ x y) (+ x y)))) (sqrt (+ (pow x 3) (pow (+ x y) 3)))) (* (sqrt (- x (+ x y))) (sqrt (+ (* x x) (- (* (+ x y) (+ x y)) (* x (+ x y)))))) (* (sqrt (- (* x x) (* (+ x y) (+ x y)))) (sqrt (- (* x x) (* (+ x y) (+ x y))))) (* (sqrt (- x (+ x y))) (sqrt (- x (+ x y)))) (* (* (cbrt (sqrt (+ x (+ x y)))) (cbrt (sqrt (+ x (+ x y))))) (* (cbrt (sqrt (+ x (+ x y)))) (cbrt (sqrt (+ x (+ x y)))))) (* (cbrt (sqrt (+ x (+ x y)))) (cbrt (sqrt (+ x (+ x y))))) (* (sqrt (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))) (sqrt (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y)))))) (* (sqrt (cbrt (+ x (+ x y)))) (sqrt (cbrt (+ x (+ x y))))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ x (+ x y))))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ x (+ x y))))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ x (+ x y))))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ x (+ x y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ x (+ x y))))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ x (+ x y))))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ x (+ x y))))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ x (+ x y))))) (* 1 1) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ x (+ x y))))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ x (+ x y))))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ x (+ x y))))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ x (+ x y))))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ x (+ x y))))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ x (+ x y))))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ x (+ x y))))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ x (+ x y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ x (+ x y))) (* (cbrt (sqrt (+ x (+ x y)))) (cbrt (sqrt (+ x (+ x y)))))) (* (sqrt (+ x (+ x y))) (sqrt (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y)))))) (* (sqrt (+ x (+ x y))) (sqrt (sqrt (+ x (+ x y))))) (* (sqrt (+ x (+ x y))) (sqrt 1)) (* (sqrt (+ x (+ x y))) (sqrt 1)) (* (sqrt (+ x (+ x y))) (sqrt 1)) (* (sqrt (+ x (+ x y))) (sqrt (sqrt (+ x (+ x y))))) (* (sqrt (+ x (+ x y))) 1) (* (cbrt (sqrt (+ x (+ x y)))) (sqrt (+ x (+ x y)))) (* (sqrt (cbrt (+ x (+ x y)))) (sqrt (+ x (+ x y)))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (+ x (+ x y)))) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (+ x (+ x y)))) (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (* (sqrt (+ x (+ x y))) (sqrt (+ (pow x 3) (pow (+ x y) 3)))) (* (sqrt (+ x (+ x y))) (sqrt (- (* x x) (* (+ x y) (+ x y))))) (* (sqrt (+ (pow x 3) (pow (+ x y) 3))) (sqrt (+ x (+ x y)))) (* (sqrt (- (* x x) (* (+ x y) (+ x y)))) (sqrt (+ x (+ x y)))) (* (exp x) (* (exp x) (exp y))) (* (exp x) (exp (+ x y))) (log (+ x (+ x y))) (exp (+ x (+ x y))) (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y)))) (cbrt (+ x (+ x y))) (* (* (+ x (+ x y)) (+ x (+ x y))) (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (+ (pow x 3) (pow (+ x y) 3)) (+ (* x x) (- (* (+ x y) (+ x y)) (* x (+ x y)))) (- (* x x) (* (+ x y) (+ x y))) (- x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (+ x x) (* (exp x) (* (exp x) (exp y))) (* (exp x) (exp (+ x y))) (log (+ x (+ x y))) (exp (+ x (+ x y))) (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y)))) (cbrt (+ x (+ x y))) (* (* (+ x (+ x y)) (+ x (+ x y))) (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (+ (pow x 3) (pow (+ x y) 3)) (+ (* x x) (- (* (+ x y) (+ x y)) (* x (+ x y)))) (- (* x x) (* (+ x y) (+ x y))) (- x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (+ x x) (+ (* 2 x) y) (+ (* 2 x) y) (- (+ (* 5 (/ (pow NAN 6) (pow x 2))) (pow NAN 2)) (* 2 (/ (pow NAN 4) x))) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 0.239 * * [simplify]: iteration 0 : 5025 enodes (cost 828 ) 0.243 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ x (+ x y))) 4) (+ x (+ x y)) (pow (sqrt (+ x (+ x y))) 4) 2 (log (+ x (+ x y))) (log (+ x (+ x y))) (exp (+ x (+ x y))) (pow (+ x (+ x y)) 3) (pow (cbrt (sqrt (+ x (+ x y)))) 4) (cbrt (+ x (+ x y))) (pow (+ x (+ x y)) 3) (pow (sqrt (+ x (+ x y))) 4) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (+ (pow x 3) (pow (+ x y) 3)) (+ (* x x) (* y (+ x y))) (* (sqrt (+ (pow x 3) (pow (+ x y) 3))) (sqrt (* y (neg (+ x (+ x y)))))) (* (sqrt (+ (* x x) (* y (+ x y)))) (sqrt (neg y))) (* (sqrt (+ (pow x 3) (pow (+ x y) 3))) (sqrt (* y (neg (+ x (+ x y)))))) (* (sqrt (+ (* x x) (* y (+ x y)))) (sqrt (neg y))) (* y (neg (+ x (+ x y)))) (neg y) (pow (cbrt (sqrt (+ x (+ x y)))) 4) (cbrt (+ x (+ x y))) (pow (cbrt (sqrt (+ x (+ x y)))) 4) (cbrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) 1 (+ x (+ x y)) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) 1 2 1 (pow (cbrt (sqrt (+ x (+ x y)))) 5) (* (sqrt (+ x (+ x y))) (fabs (cbrt (+ x (+ x y))))) (pow (sqrt (sqrt (+ x (+ x y)))) 3) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (pow (sqrt (sqrt (+ x (+ x y)))) 3) (sqrt (+ x (+ x y))) (pow (cbrt (sqrt (+ x (+ x y)))) 4) (* (sqrt (+ x (+ x y))) (sqrt (cbrt (+ x (+ x y))))) (pow (sqrt (sqrt (+ x (+ x y)))) 3) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (pow (sqrt (sqrt (+ x (+ x y)))) 3) (+ x (+ x y)) (* (sqrt (+ x (+ x y))) (sqrt (+ (pow x 3) (pow (+ x y) 3)))) (* (sqrt (+ x (+ x y))) (sqrt (* y (neg (+ x (+ x y)))))) (* (sqrt (+ x (+ x y))) (sqrt (+ (pow x 3) (pow (+ x y) 3)))) (* (sqrt (+ x (+ x y))) (sqrt (* y (neg (+ x (+ x y)))))) (exp (+ x (+ x y))) (exp (+ x (+ x y))) (log (+ x (+ x y))) (exp (+ x (+ x y))) (pow (cbrt (sqrt (+ x (+ x y)))) 4) (cbrt (+ x (+ x y))) (pow (+ x (+ x y)) 3) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (+ (pow x 3) (pow (+ x y) 3)) (+ (* x x) (* y (+ x y))) (* y (neg (+ x (+ x y)))) (neg y) (+ x (+ x y)) (+ x (+ x y)) (+ x x) (exp (+ x (+ x y))) (exp (+ x (+ x y))) (log (+ x (+ x y))) (exp (+ x (+ x y))) (pow (cbrt (sqrt (+ x (+ x y)))) 4) (cbrt (+ x (+ x y))) (pow (+ x (+ x y)) 3) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (+ (pow x 3) (pow (+ x y) 3)) (+ (* x x) (* y (+ x y))) (* y (neg (+ x (+ x y)))) (neg y) (+ x (+ x y)) (+ x (+ x y)) (+ x x) (+ x (+ x y)) (+ x (+ x y)) (+ (* NAN NAN) (* (/ (pow NAN 4) x) (- (/ 5 (/ x (* NAN NAN))) 2))) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) 0.247 * * * [progress]: adding candidates to table 0.306 * * [progress]: iteration 3 / 4 0.306 * * * [progress]: picking best candidate 0.311 * * * * [pick]: Picked # 0.311 * * * [progress]: localizing error 0.320 * * * [progress]: generating rewritten candidates 0.320 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.336 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.343 * * * [progress]: generating series expansions 0.343 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.343 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.343 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.343 * [taylor]: Taking taylor expansion of 2 in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.344 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.344 * [taylor]: Taking taylor expansion of 2 in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.344 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.344 * [taylor]: Taking taylor expansion of 2 in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of 2 in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.344 * [taylor]: Taking taylor expansion of 2 in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of 2 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of 2 in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of 2 in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [approximate]: Taking taylor expansion of (pow (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in (x y) around 0 0.346 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in y 0.346 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) in y 0.346 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.346 * [taylor]: Taking taylor expansion of 2 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in x 0.346 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) in x 0.346 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of 2 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in x 0.346 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) in x 0.346 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of 2 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.347 * [taylor]: Taking taylor expansion of NAN in y 0.347 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow NAN 2) y)) (* 2 (pow NAN 4))) in y 0.347 * [taylor]: Taking taylor expansion of (* 2 (/ (pow NAN 2) y)) in y 0.347 * [taylor]: Taking taylor expansion of 2 in y 0.347 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) y) in y 0.347 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.347 * [taylor]: Taking taylor expansion of NAN in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of (* 2 (pow NAN 4)) in y 0.347 * [taylor]: Taking taylor expansion of 2 in y 0.347 * [taylor]: Taking taylor expansion of (pow NAN 4) in y 0.347 * [taylor]: Taking taylor expansion of NAN in y 0.349 * [taylor]: Taking taylor expansion of (+ (* 5 (pow NAN 6)) (+ (* 6 (/ (pow NAN 4) y)) (/ (pow NAN 2) (pow y 2)))) in y 0.349 * [taylor]: Taking taylor expansion of (* 5 (pow NAN 6)) in y 0.349 * [taylor]: Taking taylor expansion of 5 in y 0.349 * [taylor]: Taking taylor expansion of (pow NAN 6) in y 0.349 * [taylor]: Taking taylor expansion of NAN in y 0.349 * [taylor]: Taking taylor expansion of (+ (* 6 (/ (pow NAN 4) y)) (/ (pow NAN 2) (pow y 2))) in y 0.349 * [taylor]: Taking taylor expansion of (* 6 (/ (pow NAN 4) y)) in y 0.349 * [taylor]: Taking taylor expansion of 6 in y 0.349 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) y) in y 0.349 * [taylor]: Taking taylor expansion of (pow NAN 4) in y 0.349 * [taylor]: Taking taylor expansion of NAN in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.349 * [taylor]: Taking taylor expansion of NAN in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.351 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.351 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.351 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.351 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.351 * [taylor]: Taking taylor expansion of 2 in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.351 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.351 * [taylor]: Taking taylor expansion of 2 in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.351 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.351 * [taylor]: Taking taylor expansion of 2 in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of 2 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.351 * [taylor]: Taking taylor expansion of 2 in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.352 * [taylor]: Taking taylor expansion of 2 in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.352 * [taylor]: Taking taylor expansion of 2 in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of 2 in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.353 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.353 * [taylor]: Taking taylor expansion of 2 in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of 2 in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of 2 in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (neg 2) in y 0.353 * [taylor]: Taking taylor expansion of 2 in y 0.353 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.354 * * * [progress]: simplifying candidates 0.355 * [simplify]: Simplifying using # : (* (+ x (+ x y)) (+ (+ x x) y)) (* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y))) (* (+ x (+ x y)) (+ (+ x x) y)) (+ (log (sqrt (+ x (+ x y)))) (log (sqrt (+ (+ x x) y)))) (log (* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y)))) (exp (* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y)))) (* (* (* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y)))) (sqrt (+ x (+ x y)))) (* (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (sqrt (+ (+ x x) y)))) (* (cbrt (* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y)))) (cbrt (* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y))))) (cbrt (* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y)))) (* (* (* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y))) (* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y)))) (* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y)))) (* (+ x (+ x y)) (+ (+ x x) y)) (sqrt (* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y)))) (sqrt (* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y)))) (* (sqrt (+ (pow x 3) (pow (+ x y) 3))) (sqrt (+ (pow (+ x x) 3) (pow y 3)))) (* (sqrt (+ (* x x) (- (* (+ x y) (+ x y)) (* x (+ x y))))) (sqrt (+ (* (+ x x) (+ x x)) (- (* y y) (* (+ x x) y))))) (* (sqrt (+ (pow x 3) (pow (+ x y) 3))) (sqrt (- (* (+ x x) (+ x x)) (* y y)))) (* (sqrt (+ (* x x) (- (* (+ x y) (+ x y)) (* x (+ x y))))) (sqrt (- (+ x x) y))) (* (sqrt (- (* x x) (* (+ x y) (+ x y)))) (sqrt (+ (pow (+ x x) 3) (pow y 3)))) (* (sqrt (- x (+ x y))) (sqrt (+ (* (+ x x) (+ x x)) (- (* y y) (* (+ x x) y))))) (* (sqrt (- (* x x) (* (+ x y) (+ x y)))) (sqrt (- (* (+ x x) (+ x x)) (* y y)))) (* (sqrt (- x (+ x y))) (sqrt (- (+ x x) y))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (+ x (+ x y))) (* (cbrt (sqrt (+ (+ x x) y))) (cbrt (sqrt (+ (+ x x) y))))) (* (sqrt (+ x (+ x y))) (sqrt (* (cbrt (+ (+ x x) y)) (cbrt (+ (+ x x) y))))) (* (sqrt (+ x (+ x y))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (+ x (+ x y))) (sqrt 1)) (* (sqrt (+ x (+ x y))) (sqrt 1)) (* (sqrt (+ x (+ x y))) (sqrt 1)) (* (sqrt (+ x (+ x y))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (+ x (+ x y))) 1) (* (cbrt (sqrt (+ x (+ x y)))) (sqrt (+ (+ x x) y))) (* (sqrt (cbrt (+ x (+ x y)))) (sqrt (+ (+ x x) y))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (+ (+ x x) y))) (* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y))) (* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y))) (* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y))) (* (sqrt (sqrt (+ x (+ x y)))) (sqrt (+ (+ x x) y))) (* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y))) (* (sqrt (+ x (+ x y))) (sqrt (+ (pow (+ x x) 3) (pow y 3)))) (* (sqrt (+ x (+ x y))) (sqrt (- (* (+ x x) (+ x x)) (* y y)))) (* (sqrt (+ (pow x 3) (pow (+ x y) 3))) (sqrt (+ (+ x x) y))) (* (sqrt (- (* x x) (* (+ x y) (+ x y)))) (sqrt (+ (+ x x) y))) (* (exp x) (* (exp x) (exp y))) (* (exp x) (exp (+ x y))) (log (+ x (+ x y))) (exp (+ x (+ x y))) (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y)))) (cbrt (+ x (+ x y))) (* (* (+ x (+ x y)) (+ x (+ x y))) (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (+ (pow x 3) (pow (+ x y) 3)) (+ (* x x) (- (* (+ x y) (+ x y)) (* x (+ x y)))) (- (* x x) (* (+ x y) (+ x y))) (- x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (+ x x) (+ (* 2 x) y) (+ (* 2 x) y) (- (+ (* 5 (/ (pow NAN 6) (pow x 2))) (pow NAN 2)) (* 2 (/ (pow NAN 4) x))) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 0.391 * * [simplify]: iteration 0 : 5369 enodes (cost 652 ) 0.394 * [simplify]: Simplified to: (pow (sqrt (+ x (+ x y))) 4) (+ x (+ x y)) (pow (sqrt (+ x (+ x y))) 4) (log (+ x (+ x y))) (log (+ x (+ x y))) (exp (+ x (+ x y))) (pow (+ x (+ x y)) 3) (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y)))) (cbrt (+ x (+ x y))) (pow (+ x (+ x y)) 3) (pow (sqrt (+ x (+ x y))) 4) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (* (sqrt (+ (pow x 3) (pow (+ x y) 3))) (sqrt (+ (* (pow x 3) 8) (pow y 3)))) (* (sqrt (+ (* x x) (* y (+ x y)))) (sqrt (+ (* x (* x 4)) (* y (- y (+ x x)))))) (* (sqrt (+ (pow x 3) (pow (+ x y) 3))) (sqrt (- (* x (* x 4)) (* y y)))) (* (sqrt (+ (* x x) (* y (+ x y)))) (sqrt (+ x (- x y)))) (* (sqrt (+ (* (pow x 3) 8) (pow y 3))) (sqrt (* (+ x (+ x y)) (neg y)))) (* (sqrt (+ (* x (* x 4)) (* y (- y (+ x x))))) (sqrt (neg y))) (* (sqrt (- (* x (* x 4)) (* y y))) (sqrt (* (+ x (+ x y)) (neg y)))) (* (sqrt (+ x (- x y))) (sqrt (neg y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (* (sqrt (+ x (+ x y))) (* (cbrt (sqrt (+ x (+ x y)))) (cbrt (sqrt (+ x (+ x y)))))) (* (sqrt (+ x (+ x y))) (fabs (cbrt (+ x (+ x y))))) (pow (sqrt (sqrt (+ x (+ x y)))) 3) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (pow (sqrt (sqrt (+ x (+ x y)))) 3) (sqrt (+ x (+ x y))) (* (sqrt (+ x (+ x y))) (cbrt (sqrt (+ x (+ x y))))) (* (sqrt (+ x (+ x y))) (sqrt (cbrt (+ x (+ x y))))) (pow (sqrt (sqrt (+ x (+ x y)))) 3) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (pow (sqrt (sqrt (+ x (+ x y)))) 3) (+ x (+ x y)) (* (sqrt (+ x (+ x y))) (sqrt (+ (* (pow x 3) 8) (pow y 3)))) (* (sqrt (+ x (+ x y))) (sqrt (- (* x (* x 4)) (* y y)))) (* (sqrt (+ x (+ x y))) (sqrt (+ (pow x 3) (pow (+ x y) 3)))) (* (sqrt (+ x (+ x y))) (sqrt (* (+ x (+ x y)) (neg y)))) (exp (+ x (+ x y))) (exp (+ x (+ x y))) (log (+ x (+ x y))) (exp (+ x (+ x y))) (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y)))) (cbrt (+ x (+ x y))) (pow (+ x (+ x y)) 3) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (+ (pow x 3) (pow (+ x y) 3)) (+ (* x x) (* y (+ x y))) (* (+ x (+ x y)) (neg y)) (neg y) (+ x (+ x y)) (+ x (+ x y)) (+ x x) (+ x (+ x y)) (+ x (+ x y)) (+ (* 5 (/ (pow NAN 6) (* x x))) (- (* NAN NAN) (* 2 (/ (pow NAN 4) x)))) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) 0.395 * * * [progress]: adding candidates to table 0.454 * * [progress]: iteration 4 / 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 / 1 ] rewriting at (2) 0.483 * * * [progress]: generating series expansions 0.483 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.483 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.483 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.483 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.483 * [taylor]: Taking taylor expansion of 2 in y 0.483 * [taylor]: Taking taylor expansion of x in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.483 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.483 * [taylor]: Taking taylor expansion of 2 in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.484 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.484 * [taylor]: Taking taylor expansion of 2 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 y in y 0.484 * [taylor]: Taking taylor expansion of 2 in y 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.484 * [taylor]: Taking taylor expansion of 2 in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.484 * [taylor]: Taking taylor expansion of x in y 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.484 * [taylor]: Taking taylor expansion of 2 in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.485 * [taylor]: Taking taylor expansion of 2 in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of 2 in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [approximate]: Taking taylor expansion of (pow (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in (x y) around 0 0.488 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in y 0.488 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) in y 0.488 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.488 * [taylor]: Taking taylor expansion of 2 in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in x 0.488 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) in x 0.488 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.488 * [taylor]: Taking taylor expansion of 2 in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in x 0.489 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (/ 1 y) (* 2 (/ 1 x))))) in x 0.489 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.489 * [taylor]: Taking taylor expansion of 2 in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.489 * [taylor]: Taking taylor expansion of NAN in y 0.489 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow NAN 2) y)) (* 2 (pow NAN 4))) in y 0.489 * [taylor]: Taking taylor expansion of (* 2 (/ (pow NAN 2) y)) in y 0.489 * [taylor]: Taking taylor expansion of 2 in y 0.489 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) y) in y 0.489 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.489 * [taylor]: Taking taylor expansion of NAN in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (* 2 (pow NAN 4)) in y 0.490 * [taylor]: Taking taylor expansion of 2 in y 0.490 * [taylor]: Taking taylor expansion of (pow NAN 4) in y 0.490 * [taylor]: Taking taylor expansion of NAN in y 0.491 * [taylor]: Taking taylor expansion of (+ (* 5 (pow NAN 6)) (+ (* 6 (/ (pow NAN 4) y)) (/ (pow NAN 2) (pow y 2)))) in y 0.491 * [taylor]: Taking taylor expansion of (* 5 (pow NAN 6)) in y 0.491 * [taylor]: Taking taylor expansion of 5 in y 0.491 * [taylor]: Taking taylor expansion of (pow NAN 6) in y 0.491 * [taylor]: Taking taylor expansion of NAN in y 0.491 * [taylor]: Taking taylor expansion of (+ (* 6 (/ (pow NAN 4) y)) (/ (pow NAN 2) (pow y 2))) in y 0.491 * [taylor]: Taking taylor expansion of (* 6 (/ (pow NAN 4) y)) in y 0.491 * [taylor]: Taking taylor expansion of 6 in y 0.491 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) y) in y 0.491 * [taylor]: Taking taylor expansion of (pow NAN 4) in y 0.491 * [taylor]: Taking taylor expansion of NAN in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) (pow y 2)) in y 0.491 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.492 * [taylor]: Taking taylor expansion of NAN in y 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.493 * * * [progress]: simplifying candidates 0.494 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (+ x x) y) (+ (+ x x) y)) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (* (+ (+ x x) y) (+ (+ x x) y)) (+ 1 1) (+ (log (sqrt (+ (+ x x) y))) (log (sqrt (+ (+ x x) y)))) (log (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y)))) (exp (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y)))) (* (* (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (sqrt (+ (+ x x) y))) (* (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (sqrt (+ (+ x x) y)))) (* (cbrt (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y)))) (cbrt (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))))) (cbrt (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y)))) (* (* (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y)))) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y)))) (* (+ (+ x x) y) (+ (+ x x) y)) (sqrt (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y)))) (sqrt (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y)))) (* (sqrt (+ (pow (+ x x) 3) (pow y 3))) (sqrt (+ (pow (+ x x) 3) (pow y 3)))) (* (sqrt (+ (* (+ x x) (+ x x)) (- (* y y) (* (+ x x) y)))) (sqrt (+ (* (+ x x) (+ x x)) (- (* y y) (* (+ x x) y))))) (* (sqrt (+ (pow (+ x x) 3) (pow y 3))) (sqrt (- (* (+ x x) (+ x x)) (* y y)))) (* (sqrt (+ (* (+ x x) (+ x x)) (- (* y y) (* (+ x x) y)))) (sqrt (- (+ x x) y))) (* (sqrt (- (* (+ x x) (+ x x)) (* y y))) (sqrt (+ (pow (+ x x) 3) (pow y 3)))) (* (sqrt (- (+ x x) y)) (sqrt (+ (* (+ x x) (+ x x)) (- (* y y) (* (+ x x) y))))) (* (sqrt (- (* (+ x x) (+ x x)) (* y y))) (sqrt (- (* (+ x x) (+ x x)) (* y y)))) (* (sqrt (- (+ x x) y)) (sqrt (- (+ x x) y))) (* (* (cbrt (sqrt (+ (+ x x) y))) (cbrt (sqrt (+ (+ x x) y)))) (* (cbrt (sqrt (+ (+ x x) y))) (cbrt (sqrt (+ (+ x x) y))))) (* (cbrt (sqrt (+ (+ x x) y))) (cbrt (sqrt (+ (+ x x) y)))) (* (sqrt (* (cbrt (+ (+ x x) y)) (cbrt (+ (+ x x) y)))) (sqrt (* (cbrt (+ (+ x x) y)) (cbrt (+ (+ x x) y))))) (* (sqrt (cbrt (+ (+ x x) y))) (sqrt (cbrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (sqrt (+ (+ x x) y)))) (* 1 1) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (sqrt (+ (+ x x) y)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (+ x x) y)) (* (cbrt (sqrt (+ (+ x x) y))) (cbrt (sqrt (+ (+ x x) y))))) (* (sqrt (+ (+ x x) y)) (sqrt (* (cbrt (+ (+ x x) y)) (cbrt (+ (+ x x) y))))) (* (sqrt (+ (+ x x) y)) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (+ (+ x x) y)) (sqrt 1)) (* (sqrt (+ (+ x x) y)) (sqrt 1)) (* (sqrt (+ (+ x x) y)) (sqrt 1)) (* (sqrt (+ (+ x x) y)) (sqrt (sqrt (+ (+ x x) y)))) (* (sqrt (+ (+ x x) y)) 1) (* (cbrt (sqrt (+ (+ x x) y))) (sqrt (+ (+ x x) y))) (* (sqrt (cbrt (+ (+ x x) y))) (sqrt (+ (+ x x) y))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (+ (+ x x) y))) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (* (sqrt (sqrt (+ (+ x x) y))) (sqrt (+ (+ x x) y))) (* (sqrt (+ (+ x x) y)) (sqrt (+ (+ x x) y))) (* (sqrt (+ (+ x x) y)) (sqrt (+ (pow (+ x x) 3) (pow y 3)))) (* (sqrt (+ (+ x x) y)) (sqrt (- (* (+ x x) (+ x x)) (* y y)))) (* (sqrt (+ (pow (+ x x) 3) (pow y 3))) (sqrt (+ (+ x x) y))) (* (sqrt (- (* (+ x x) (+ x x)) (* y y))) (sqrt (+ (+ x x) y))) (+ (* 2 x) y) (+ (* 2 x) y) (- (+ (* 5 (/ (pow NAN 6) (pow x 2))) (pow NAN 2)) (* 2 (/ (pow NAN 4) x))) 0.528 * * [simplify]: iteration 0 : 5016 enodes (cost 629 ) 0.531 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ x (+ x y))) 4) (+ x (+ x y)) (pow (sqrt (+ x (+ x y))) 4) 2 (log (+ x (+ x y))) (log (+ x (+ x y))) (exp (+ x (+ x y))) (pow (+ x (+ x y)) 3) (pow (sqrt (cbrt (+ x (+ x y)))) 4) (cbrt (+ x (+ x y))) (pow (+ x (+ x y)) 3) (pow (sqrt (+ x (+ x y))) 4) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (+ (* 8 (pow x 3)) (pow y 3)) (+ (* x (* x 4)) (* y (- y (+ x x)))) (* (sqrt (+ (* 8 (pow x 3)) (pow y 3))) (sqrt (- (* x (* x 4)) (* y y)))) (* (sqrt (+ (* x (* x 4)) (* y (- y (+ x x))))) (sqrt (+ x (- x y)))) (* (sqrt (+ (* 8 (pow x 3)) (pow y 3))) (sqrt (- (* x (* x 4)) (* y y)))) (* (sqrt (+ (* x (* x 4)) (* y (- y (+ x x))))) (sqrt (+ x (- x y)))) (- (* x (* x 4)) (* y y)) (+ x (- x y)) (pow (cbrt (sqrt (+ x (+ x y)))) 4) (pow (cbrt (sqrt (+ x (+ x y)))) 2) (pow (sqrt (cbrt (+ x (+ x y)))) 4) (cbrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) 1 (+ x (+ x y)) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) 1 (+ x (+ x y)) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) 1 2 1 (pow (cbrt (sqrt (+ x (+ x y)))) 5) (* (sqrt (+ x (+ x y))) (fabs (cbrt (+ x (+ x y))))) (pow (sqrt (sqrt (+ x (+ x y)))) 3) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (pow (sqrt (sqrt (+ x (+ x y)))) 3) (sqrt (+ x (+ x y))) (pow (cbrt (sqrt (+ x (+ x y)))) 4) (* (sqrt (+ x (+ x y))) (sqrt (cbrt (+ x (+ x y))))) (pow (sqrt (sqrt (+ x (+ x y)))) 3) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (pow (sqrt (sqrt (+ x (+ x y)))) 3) (+ x (+ x y)) (* (sqrt (+ x (+ x y))) (sqrt (+ (* 8 (pow x 3)) (pow y 3)))) (* (sqrt (+ x (+ x y))) (sqrt (- (* x (* x 4)) (* y y)))) (* (sqrt (+ x (+ x y))) (sqrt (+ (* 8 (pow x 3)) (pow y 3)))) (* (sqrt (+ x (+ x y))) (sqrt (- (* x (* x 4)) (* y y)))) (+ x (+ x y)) (+ x (+ x y)) (+ (* NAN NAN) (* (/ (pow NAN 4) x) (- (/ 5 (/ x (* NAN NAN))) 2))) 0.532 * * * [progress]: adding candidates to table 0.575 * [progress]: [Phase 3 of 3] Extracting. 0.577 * [simplify]: Simplifying using # : (+ (+ x x) y) 0.578 * * [simplify]: iteration 0 : 5 enodes (cost 5 ) 0.578 * * [simplify]: iteration 1 : 5 enodes (cost 5 ) 0.578 * [simplify]: Simplified to: (+ (+ x x) y) 1.066 * [regime-testing]: End program error score: 0 1.133 * [regime-testing]: Target error score: 0