35.317 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.060 * [progress]: [Phase 2 of 3] Improving. 0.060 * [simplify]: Simplifying using # : (+ (+ x y) x) 0.063 * * [simplify]: iteration 0 : 12 enodes (cost 5 ) 0.063 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.063 * [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 0.071 * * * [progress]: generating rewritten candidates 0.071 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.077 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.077 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.077 * [taylor]: Taking taylor expansion of 2 in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.077 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.077 * [taylor]: Taking taylor expansion of 2 in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.077 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.077 * [taylor]: Taking taylor expansion of 2 in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of 2 in y 0.077 * [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 (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 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 (+ (/ 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 (+ (/ 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 2 in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.078 * [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 0.079 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) 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 (* 2 (/ 1 x)) in y 0.079 * [taylor]: Taking taylor expansion of 2 in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of 2 in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of 2 in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (neg 2) in y 0.080 * [taylor]: Taking taylor expansion of 2 in y 0.080 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * * * [progress]: simplifying candidates 0.081 * [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) 0.125 * * [simplify]: iteration 0 : 4889 enodes (cost 116 ) 0.125 * * [simplify]: iteration 1 : 4889 enodes (cost 116 ) 0.126 * [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)) 0.127 * * * [progress]: adding candidates to table 0.141 * * [progress]: iteration 2 / 4 0.141 * * * [progress]: picking best candidate 0.143 * * * * [pick]: Picked # 0.143 * * * [progress]: localizing error 0.148 * * * [progress]: generating rewritten candidates 0.148 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.156 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.161 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.171 * * * [progress]: generating series expansions 0.171 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.171 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (y x) around 0 0.171 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.171 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.171 * [taylor]: Taking taylor expansion of 2 in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.171 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.171 * [taylor]: Taking taylor expansion of 2 in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.171 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.171 * [taylor]: Taking taylor expansion of 2 in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.171 * [taylor]: Taking taylor expansion of 2 in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of 1 in x 0.171 * [taylor]: Taking taylor expansion of 0 in x 0.171 * [taylor]: Taking taylor expansion of 0 in x 0.172 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (y x) around 0 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.172 * [taylor]: Taking taylor expansion of 2 in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.172 * [taylor]: Taking taylor expansion of 2 in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.172 * [taylor]: Taking taylor expansion of 2 in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of 1 in x 0.172 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.172 * [taylor]: Taking taylor expansion of 2 in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of 0 in x 0.173 * [taylor]: Taking taylor expansion of 0 in x 0.173 * [taylor]: Taking taylor expansion of 0 in x 0.173 * [approximate]: Taking taylor expansion of (* -1 (+ (/ 1 y) (* 2 (/ 1 x)))) in (y x) around 0 0.173 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.173 * [taylor]: Taking taylor expansion of -1 in x 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of 2 in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.174 * [taylor]: Taking taylor expansion of -1 in y 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.174 * [taylor]: Taking taylor expansion of 2 in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.174 * [taylor]: Taking taylor expansion of -1 in y 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.174 * [taylor]: Taking taylor expansion of 2 in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of -1 in x 0.174 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 x))) in x 0.174 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of 2 in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of 0 in x 0.175 * [taylor]: Taking taylor expansion of 0 in x 0.175 * [taylor]: Taking taylor expansion of 0 in x 0.175 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.175 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.175 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.175 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.175 * [taylor]: Taking taylor expansion of 2 in y 0.175 * [taylor]: Taking taylor expansion of x in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.175 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.175 * [taylor]: Taking taylor expansion of 2 in x 0.175 * [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 0.176 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.176 * [taylor]: Taking taylor expansion of 2 in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of 2 in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of 2 in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [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 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 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 (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 (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 (neg 2) in y 0.178 * [taylor]: Taking taylor expansion of 2 in y 0.178 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.179 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 0.179 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 0.179 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.179 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.179 * [taylor]: Taking taylor expansion of 2 in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 0.179 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.179 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.179 * [taylor]: Taking taylor expansion of 2 in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 0.180 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.180 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.180 * [taylor]: Taking taylor expansion of 2 in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of 0 in x 0.180 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.180 * [taylor]: Taking taylor expansion of 2 in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of 1 in x 0.180 * [taylor]: Taking taylor expansion of 0 in x 0.180 * [taylor]: Taking taylor expansion of 0 in x 0.181 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 0.181 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of 2 in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.181 * [taylor]: Taking taylor expansion of 2 in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.181 * [taylor]: Taking taylor expansion of x in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.181 * [taylor]: Taking taylor expansion of 2 in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.181 * [taylor]: Taking taylor expansion of x in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of 1 in x 0.181 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of 2 in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of 0 in x 0.182 * [taylor]: Taking taylor expansion of 0 in x 0.182 * [taylor]: Taking taylor expansion of 0 in x 0.183 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 0.183 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 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 0.183 * [taylor]: Taking taylor expansion of 2 in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 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 y in y 0.183 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 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 y in y 0.184 * [taylor]: Taking taylor expansion of 1 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 0 in x 0.184 * [taylor]: Taking taylor expansion of 0 in x 0.185 * [taylor]: Taking taylor expansion of 0 in x 0.185 * * * [progress]: simplifying candidates 0.186 * [simplify]: Simplifying using # : (- (+ (log y) (log (+ x (+ x y)))) (log y)) (- (log (* y (+ x (+ x y)))) (log y)) (log (/ (* y (+ x (+ x y))) y)) (exp (/ (* y (+ x (+ x y))) y)) (/ (* (* (* y y) y) (* (* (+ x (+ x y)) (+ x (+ x y))) (+ x (+ x y)))) (* (* y y) y)) (/ (* (* (* y (+ x (+ x y))) (* y (+ x (+ x y)))) (* y (+ x (+ x y)))) (* (* y y) y)) (* (cbrt (/ (* y (+ x (+ x y))) y)) (cbrt (/ (* y (+ x (+ x y))) y))) (cbrt (/ (* y (+ x (+ x y))) y)) (* (* (/ (* y (+ x (+ x y))) y) (/ (* y (+ x (+ x y))) y)) (/ (* y (+ x (+ x y))) y)) (sqrt (/ (* y (+ x (+ x y))) y)) (sqrt (/ (* y (+ x (+ x y))) y)) (neg (* y (+ x (+ x y)))) (neg y) (/ y (* (cbrt y) (cbrt y))) (/ (+ x (+ x y)) (cbrt y)) (/ y (sqrt y)) (/ (+ x (+ x y)) (sqrt y)) (/ y 1) (/ (+ x (+ x y)) y) (/ 1 y) (/ y (* y (+ x (+ x y)))) (/ (* y (+ x (+ x y))) (* (cbrt y) (cbrt y))) (/ (* y (+ x (+ x y))) (sqrt y)) (/ (* y (+ x (+ x y))) 1) (/ y (+ x (+ x y))) (* y (+ (* x x) (- (* (+ x y) (+ x y)) (* x (+ x y))))) (* y (- 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) (* y (+ x (+ x y))) (+ (log y) (log (+ x (+ x y)))) (log (* y (+ x (+ x y)))) (exp (* y (+ x (+ x y)))) (* (* (* y y) y) (* (* (+ x (+ x y)) (+ x (+ x y))) (+ x (+ x y)))) (* (cbrt (* y (+ x (+ x y)))) (cbrt (* y (+ x (+ x y))))) (cbrt (* y (+ x (+ x y)))) (* (* (* y (+ x (+ x y))) (* y (+ x (+ x y)))) (* y (+ x (+ x y)))) (sqrt (* y (+ x (+ x y)))) (sqrt (* y (+ x (+ x y)))) (* (sqrt y) (sqrt (+ x (+ x y)))) (* (sqrt y) (sqrt (+ x (+ x y)))) (* y x) (* y (+ x y)) (* x y) (* (+ x y) y) (* y (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))) (* y (sqrt (+ x (+ x y)))) (* y 1) (* y 1) (* y 1) (* (cbrt y) (+ x (+ x y))) (* (sqrt y) (+ x (+ x y))) (* y (+ x (+ x y))) (* y (+ (pow x 3) (pow (+ x y) 3))) (* y (- (* x x) (* (+ x y) (+ x y)))) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 0.229 * * [simplify]: iteration 0 : 5016 enodes (cost 527 ) 0.232 * [simplify]: Simplified to: (log (+ y (+ x x))) (log (+ y (+ x x))) (log (+ y (+ x x))) (exp (+ y (+ x x))) (pow (+ y (+ x x)) 3) (pow (+ y (+ x x)) 3) (* (cbrt (+ y (+ x x))) (cbrt (+ y (+ x x)))) (cbrt (+ y (+ x x))) (pow (+ y (+ x x)) 3) (sqrt (+ y (+ x x))) (sqrt (+ y (+ x x))) (* y (+ (neg y) (* x -2))) (neg y) (/ y (* (cbrt y) (cbrt y))) (/ (+ y (+ x x)) (cbrt y)) (sqrt y) (/ (+ y (+ x x)) (sqrt y)) y (/ (+ y (+ x x)) y) (/ 1 y) (/ 1 (+ y (+ x x))) (* (+ y (+ x x)) (/ y (* (cbrt y) (cbrt y)))) (* (+ y (+ x x)) (sqrt y)) (* y (+ y (+ x x))) (/ y (+ y (+ x x))) (* y (+ (* y y) (* x (+ y x)))) (* y (neg y)) (exp (+ y (+ x x))) (exp (+ y (+ x x))) (log (+ y (+ x x))) (exp (+ y (+ x x))) (* (cbrt (+ y (+ x x))) (cbrt (+ y (+ x x)))) (cbrt (+ y (+ x x))) (pow (+ y (+ x x)) 3) (sqrt (+ y (+ x x))) (sqrt (+ y (+ x x))) (+ (pow x 3) (pow (+ y x) 3)) (+ (* y y) (* x (+ y x))) (* y (+ (neg y) (* x -2))) (neg y) (+ y (+ x x)) (+ y (+ x x)) (+ x x) (* y (+ y (+ x x))) (log (* y (+ y (+ x x)))) (log (* y (+ y (+ x x)))) (pow (exp (+ y (+ x x))) y) (pow (* y (+ y (+ x x))) 3) (* (cbrt (* y (+ y (+ x x)))) (cbrt (* y (+ y (+ x x))))) (cbrt (* y (+ y (+ x x)))) (pow (* y (+ y (+ x x))) 3) (sqrt (* y (+ y (+ x x)))) (sqrt (* y (+ y (+ x x)))) (* (sqrt (+ y (+ x x))) (sqrt y)) (* (sqrt (+ y (+ x x))) (sqrt y)) (* y x) (* y (+ y x)) (* y x) (* y (+ y x)) (* y (* (cbrt (+ y (+ x x))) (cbrt (+ y (+ x x))))) (* y (sqrt (+ y (+ x x)))) y y y (* (+ y (+ x x)) (cbrt y)) (* (+ y (+ x x)) (sqrt y)) (* y (+ y (+ x x))) (* y (+ (pow x 3) (pow (+ y x) 3))) (* y (* y (+ (neg y) (* x -2)))) (+ y (+ x x)) (+ y (+ x x)) (+ y (+ x x)) (+ y (+ x x)) (+ y (+ x x)) (+ y (+ x x)) (* y (+ y (+ x x))) (* y (+ y (+ x x))) (* y (+ y (+ x x))) 0.232 * * * [progress]: adding candidates to table 0.287 * * [progress]: iteration 3 / 4 0.287 * * * [progress]: picking best candidate 0.289 * * * * [pick]: Picked # 0.289 * * * [progress]: localizing error 0.292 * * * [progress]: generating rewritten candidates 0.292 * * * [progress]: generating series expansions 0.292 * * * [progress]: simplifying candidates 0.292 * [simplify]: Simplifying using # : 0.294 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.294 * [simplify]: Simplified to: 0.294 * * * [progress]: adding candidates to table 0.295 * [progress]: [Phase 3 of 3] Extracting. 0.298 * [simplify]: Simplifying using # : (+ y (+ x x)) 0.299 * * [simplify]: iteration 0 : 5 enodes (cost 5 ) 0.299 * * [simplify]: iteration 1 : 5 enodes (cost 5 ) 0.299 * [simplify]: Simplified to: (+ y (+ x x)) 0.750 * [regime-testing]: End program error score: 0 0.811 * [regime-testing]: Target error score: 0