17.594 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.024 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.026 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.028 * * [simplify]: iteration 2 : 53 enodes (cost 3 ) 0.030 * * [simplify]: iteration 3 : 80 enodes (cost 3 ) 0.032 * * [simplify]: iteration 4 : 98 enodes (cost 3 ) 0.034 * * [simplify]: iteration 5 : 107 enodes (cost 3 ) 0.036 * * [simplify]: iteration 6 : 113 enodes (cost 3 ) 0.038 * * [simplify]: iteration 7 : 113 enodes (cost 3 ) 0.038 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.053 * * * [progress]: generating series expansions 0.053 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.053 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.053 * [taylor]: Taking taylor expansion of (+ x y) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.053 * [taylor]: Taking taylor expansion of (+ x y) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.053 * [taylor]: Taking taylor expansion of (+ x y) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.055 * [taylor]: Taking taylor expansion of 2 in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of 1 in y 0.057 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 1 in y 0.059 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of 2 in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.062 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of 1 in y 0.065 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.065 * [taylor]: Taking taylor expansion of 2 in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.073 * * * [progress]: simplifying candidates 0.073 * [simplify]: Simplifying using # : (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.078 * * [simplify]: iteration 0 : 189 enodes (cost 213 ) 0.082 * * [simplify]: iteration 1 : 901 enodes (cost 188 ) 0.108 * * [simplify]: iteration 2 : 5001 enodes (cost 170 ) 0.109 * [simplify]: Simplified to: 2 (* (+ x y) (+ x y)) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (pow (+ x y) 6) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ x y) (+ x y) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (* (pow (cbrt (+ x y)) 4) (cbrt (+ x y))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 0.110 * * * [progress]: adding candidates to table 0.176 * * [progress]: iteration 2 / 4 0.177 * * * [progress]: picking best candidate 0.182 * * * * [pick]: Picked # 0.182 * * * [progress]: localizing error 0.187 * * * [progress]: generating rewritten candidates 0.187 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.193 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.199 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.206 * * * [progress]: generating series expansions 0.206 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.207 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.207 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of (+ x y) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (+ x y) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (+ x y) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of 1 in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.211 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of 1 in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.222 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of 1 in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.233 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.233 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.233 * [taylor]: Taking taylor expansion of 2 in y 0.233 * [taylor]: Taking taylor expansion of (* x y) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.233 * [taylor]: Taking taylor expansion of 2 in x 0.233 * [taylor]: Taking taylor expansion of (* x y) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.233 * [taylor]: Taking taylor expansion of 2 in x 0.233 * [taylor]: Taking taylor expansion of (* x y) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.235 * [taylor]: Taking taylor expansion of 2 in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of 1 in y 0.238 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.239 * [taylor]: Taking taylor expansion of 2 in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.239 * [taylor]: Taking taylor expansion of (* x y) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.240 * [taylor]: Taking taylor expansion of 2 in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.240 * [taylor]: Taking taylor expansion of (* x y) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.241 * [taylor]: Taking taylor expansion of 2 in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.241 * [taylor]: Taking taylor expansion of (* x y) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of 1 in y 0.243 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.243 * [taylor]: Taking taylor expansion of 2 in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.246 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.247 * [taylor]: Taking taylor expansion of 2 in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.247 * [taylor]: Taking taylor expansion of (* x y) in y 0.247 * [taylor]: Taking taylor expansion of x in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.248 * [taylor]: Taking taylor expansion of 2 in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.248 * [taylor]: Taking taylor expansion of (* x y) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.249 * [taylor]: Taking taylor expansion of 2 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.249 * [taylor]: Taking taylor expansion of (* x y) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of 1 in y 0.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.251 * [taylor]: Taking taylor expansion of 2 in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.254 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.254 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.254 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of (+ x y) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (+ x y) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (+ x y) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of 0 in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of 1 in x 0.257 * [taylor]: Taking taylor expansion of 0 in x 0.258 * [taylor]: Taking taylor expansion of 0 in x 0.258 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.258 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of 1 in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of 0 in x 0.270 * [taylor]: Taking taylor expansion of 0 in x 0.273 * [taylor]: Taking taylor expansion of 0 in x 0.273 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.273 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of 1 in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of 0 in x 0.281 * [taylor]: Taking taylor expansion of 0 in x 0.284 * [taylor]: Taking taylor expansion of 0 in x 0.284 * * * [progress]: simplifying candidates 0.286 * [simplify]: Simplifying using # : (* x (+ x y)) (+ (log x) (log (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ 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))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (exp (* x (+ x y))) (exp (* y (+ x y)))) (log (+ (* x (+ x y)) (* y (+ x y)))) (exp (+ (* x (+ x y)) (* y (+ x y)))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (* (* (+ (* x (+ x y)) (* y (+ x y))) (+ (* x (+ x y)) (* y (+ x y)))) (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* y (+ (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* y (- (* x x) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* y (- (* x x) (* y y))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* y (+ x y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* y (+ x y)) (* y (+ x y))) (* (* x (+ x y)) (* y (+ x y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* y (+ x y)) (* y (+ x y)))) (- (* x (+ x y)) (* y (+ x y))) (+ x y) (+ (* x (+ x y)) (* y x)) (+ (* x (+ x y)) (* x y)) (+ (* x y) (* y (+ x y))) (+ (* y x) (* y (+ x y))) (* y (+ x y)) (+ (log y) (log (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (* (* (* y y) y) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (* (* (* y (+ x y)) (* y (+ x y))) (* y (+ x y))) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (* y y) (* x y) (* y y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) (* y 1) (* y 1) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) 0.291 * * [simplify]: iteration 0 : 349 enodes (cost 386 ) 0.300 * * [simplify]: iteration 1 : 1961 enodes (cost 333 ) 0.347 * * [simplify]: iteration 2 : 5001 enodes (cost 331 ) 0.350 * [simplify]: Simplified to: (* x (+ x y)) (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) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (pow x 2) (* x y) (pow x 2) (* x y) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) x x (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (exp (* (+ x y) (+ x y))) (+ (log (+ x y)) (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (* y (- y x)) (pow x 2)) (+ (* y (+ (pow x 3) (pow y 3))) (* x (+ (pow x 3) (pow y 3))))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* y (- (* x x) (* y y))))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- x y) (+ (* y (- (* x x) (* y y))) (* x (- (* x x) (* y y))))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (+ (* (* y (+ x y)) (- (* y (+ x y)) (* x (+ x y)))) (* (* x (+ x y)) (* x (+ x y)))) (* (pow (+ x y) 3) (- x y)) (- (* x x) (* y y)) (+ x y) (* x (+ (+ x y) y)) (* x (+ (+ x y) y)) (* y (+ x (+ x y))) (* y (+ x (+ x y))) (* y (+ x y)) (log (* y (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (pow (* y (+ x y)) 3) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (pow (* y (+ x y)) 3) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* x y) (pow y 2) (* x y) (pow y 2) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) y y (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) 0.350 * * * [progress]: adding candidates to table 0.514 * * [progress]: iteration 3 / 4 0.514 * * * [progress]: picking best candidate 0.522 * * * * [pick]: Picked # 0.522 * * * [progress]: localizing error 0.530 * * * [progress]: generating rewritten candidates 0.530 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.536 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.545 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.554 * * * [progress]: generating series expansions 0.554 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.554 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.554 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of (+ x y) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (+ x y) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (+ x y) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [taylor]: Taking taylor expansion of 0 in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of 1 in y 0.557 * [taylor]: Taking taylor expansion of 0 in y 0.559 * [taylor]: Taking taylor expansion of 0 in y 0.559 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.559 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.559 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of x in y 0.560 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of 1 in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [taylor]: Taking taylor expansion of 0 in y 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.570 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of 1 in y 0.573 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.580 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.580 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.580 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.580 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.580 * [taylor]: Taking taylor expansion of x in y 0.580 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.580 * [taylor]: Taking taylor expansion of 2 in y 0.580 * [taylor]: Taking taylor expansion of (* x y) in y 0.580 * [taylor]: Taking taylor expansion of x in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.580 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.581 * [taylor]: Taking taylor expansion of 2 in x 0.581 * [taylor]: Taking taylor expansion of (* x y) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.581 * [taylor]: Taking taylor expansion of 2 in x 0.581 * [taylor]: Taking taylor expansion of (* x y) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.582 * [taylor]: Taking taylor expansion of 2 in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of 1 in y 0.585 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.585 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.585 * [taylor]: Taking taylor expansion of x in y 0.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.586 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.586 * [taylor]: Taking taylor expansion of 2 in y 0.586 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.586 * [taylor]: Taking taylor expansion of (* x y) in y 0.586 * [taylor]: Taking taylor expansion of x in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.586 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.587 * [taylor]: Taking taylor expansion of 2 in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.587 * [taylor]: Taking taylor expansion of (* x y) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.588 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.588 * [taylor]: Taking taylor expansion of 2 in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.588 * [taylor]: Taking taylor expansion of (* x y) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.589 * [taylor]: Taking taylor expansion of 1 in y 0.590 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.590 * [taylor]: Taking taylor expansion of 2 in y 0.590 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.593 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.593 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.593 * [taylor]: Taking taylor expansion of x in y 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.594 * [taylor]: Taking taylor expansion of 2 in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.594 * [taylor]: Taking taylor expansion of (* x y) in y 0.594 * [taylor]: Taking taylor expansion of x in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.595 * [taylor]: Taking taylor expansion of 2 in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.595 * [taylor]: Taking taylor expansion of (* x y) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.596 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.596 * [taylor]: Taking taylor expansion of 2 in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.596 * [taylor]: Taking taylor expansion of (* x y) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of 1 in y 0.598 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.598 * [taylor]: Taking taylor expansion of 2 in y 0.598 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.600 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.600 * [taylor]: Taking taylor expansion of y in y 0.601 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.601 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* x y)) in (x y) around 0 0.601 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in y 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of (* x y) in y 0.601 * [taylor]: Taking taylor expansion of x in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in x 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (* x y) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in x 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (* x y) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.605 * [taylor]: Taking taylor expansion of 0 in y 0.607 * [taylor]: Taking taylor expansion of 0 in y 0.607 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in (x y) around 0 0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.608 * [taylor]: Taking taylor expansion of (* x y) in y 0.608 * [taylor]: Taking taylor expansion of x in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.609 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.609 * [taylor]: Taking taylor expansion of (* x y) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.609 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.609 * [taylor]: Taking taylor expansion of (* x y) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.611 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.611 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.619 * [taylor]: Taking taylor expansion of 0 in y 0.620 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in (x y) around 0 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.621 * [taylor]: Taking taylor expansion of (* x y) in y 0.621 * [taylor]: Taking taylor expansion of x in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.621 * [taylor]: Taking taylor expansion of (* x y) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.622 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.622 * [taylor]: Taking taylor expansion of (* x y) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.623 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.632 * * * [progress]: simplifying candidates 0.633 * [simplify]: Simplifying using # : (* x (+ x y)) (+ (log x) (log (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ 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))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (exp (* x (+ x y))) (* (exp (* x y)) (exp (pow y 2)))) (* (exp (* x (+ x y))) (exp (+ (* x y) (pow y 2)))) (log (+ (* x (+ x y)) (+ (* x y) (pow y 2)))) (exp (+ (* x (+ x y)) (+ (* x y) (pow y 2)))) (* (cbrt (+ (* x (+ x y)) (+ (* x y) (pow y 2)))) (cbrt (+ (* x (+ x y)) (+ (* x y) (pow y 2))))) (cbrt (+ (* x (+ x y)) (+ (* x y) (pow y 2)))) (* (* (+ (* x (+ x y)) (+ (* x y) (pow y 2))) (+ (* x (+ x y)) (+ (* x y) (pow y 2)))) (+ (* x (+ x y)) (+ (* x y) (pow y 2)))) (sqrt (+ (* x (+ x y)) (+ (* x y) (pow y 2)))) (sqrt (+ (* x (+ x y)) (+ (* x y) (pow y 2)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* (* x y) (* x y)) (- (* (pow y 2) (pow y 2)) (* (* x y) (pow y 2))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (pow (* x y) 3) (pow (pow y 2) 3)))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* (* x y) (* x y)) (- (* (pow y 2) (pow y 2)) (* (* x y) (pow y 2))))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- (* x y) (pow y 2))) (* (+ (* x x) (- (* y y) (* x y))) (- (* (* x y) (* x y)) (* (pow y 2) (pow y 2))))) (* (+ (* x x) (- (* y y) (* x y))) (- (* x y) (pow y 2))) (+ (* (* x (- (* x x) (* y y))) (+ (* (* x y) (* x y)) (- (* (pow y 2) (pow y 2)) (* (* x y) (pow y 2))))) (* (- x y) (+ (pow (* x y) 3) (pow (pow y 2) 3)))) (* (- x y) (+ (* (* x y) (* x y)) (- (* (pow y 2) (pow y 2)) (* (* x y) (pow y 2))))) (+ (* (* x (- (* x x) (* y y))) (- (* x y) (pow y 2))) (* (- x y) (- (* (* x y) (* x y)) (* (pow y 2) (pow y 2))))) (* (- x y) (- (* x y) (pow y 2))) (+ (pow (* x (+ x y)) 3) (pow (+ (* x y) (pow y 2)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (+ (* x y) (pow y 2)) (+ (* x y) (pow y 2))) (* (* x (+ x y)) (+ (* x y) (pow y 2))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (+ (* x y) (pow y 2)) (+ (* x y) (pow y 2)))) (- (* x (+ x y)) (+ (* x y) (pow y 2))) (+ x y) (+ (* x (+ x y)) (* x y)) (+ (* x y) (+ (* x y) (pow y 2))) (+ (* y x) (+ (* x y) (pow y 2))) (* (exp (* x y)) (exp (pow y 2))) (log (+ (* x y) (pow y 2))) (exp (+ (* x y) (pow y 2))) (* (cbrt (+ (* x y) (pow y 2))) (cbrt (+ (* x y) (pow y 2)))) (cbrt (+ (* x y) (pow y 2))) (* (* (+ (* x y) (pow y 2)) (+ (* x y) (pow y 2))) (+ (* x y) (pow y 2))) (sqrt (+ (* x y) (pow y 2))) (sqrt (+ (* x y) (pow y 2))) (+ (pow (* x y) 3) (pow (pow y 2) 3)) (+ (* (* x y) (* x y)) (- (* (pow y 2) (pow y 2)) (* (* x y) (pow y 2)))) (- (* (* x y) (* x y)) (* (pow y 2) (pow y 2))) (- (* x y) (pow y 2)) (+ x y) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) 0.642 * * [simplify]: iteration 0 : 369 enodes (cost 434 ) 0.650 * * [simplify]: iteration 1 : 1879 enodes (cost 397 ) 0.693 * * [simplify]: iteration 2 : 5001 enodes (cost 362 ) 0.696 * [simplify]: Simplified to: (* x (+ x y)) (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) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (pow x 2) (* x y) (pow x 2) (* x y) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) x x (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (exp (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (+ (log (+ x y)) (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (+ (* x (+ x y)) (+ (* x y) (pow y 2)))) (cbrt (+ (* x (+ x y)) (+ (* x y) (pow y 2))))) (cbrt (+ (* x (+ x y)) (+ (* x y) (pow y 2)))) (pow (* (+ x y) (+ x y)) 3) (fabs (+ x y)) (fabs (+ x y)) (+ (* (+ (* x x) (- (* y y) (* x y))) (+ (pow (* x y) 3) (pow (pow y 2) 3))) (* x (* (+ (pow x 3) (pow y 3)) (- (+ (* (* x y) (* x y)) (pow y 4)) (* (* x y) (pow y 2)))))) (* (- (+ (* (* x y) (* x y)) (pow y 4)) (* (* x y) (pow y 2))) (+ (* y (- y x)) (pow x 2))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- (* x y) (pow y 2))) (* (+ (* x x) (- (* y y) (* x y))) (- (* (* x y) (* x y)) (* (pow y 2) (pow y 2))))) (* (- (* x y) (pow y 2)) (+ (* y (- y x)) (pow x 2))) (+ (* (- x y) (+ (pow (* x y) 3) (pow (pow y 2) 3))) (* x (* (- (* x x) (* y y)) (- (+ (* (* x y) (* x y)) (pow y 4)) (* (* x y) (pow y 2)))))) (+ (* (pow y 4) (- x y)) (* (* (* y (* x y)) (- x y)) (- x y))) (+ (* (* x (- (* x x) (* y y))) (- (* x y) (pow y 2))) (* (- x y) (- (* (* x y) (* x y)) (* (pow y 2) (pow y 2))))) (* (- x y) (- (* x y) (pow y 2))) (+ (pow (* x (+ x y)) 3) (pow (+ (* x y) (pow y 2)) 3)) (+ (* (+ (* x y) (pow y 2)) (- (+ (* x y) (pow y 2)) (* x (+ x y)))) (* (* x (+ x y)) (* x (+ x y)))) (* (* (+ x y) (+ x y)) (- (* x (+ x y)) (* y (+ x y)))) (- (* x x) (* y y)) (+ x y) (* x (+ (+ x y) y)) (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (exp (* y (+ x y))) (log (+ (* x y) (pow y 2))) (exp (* y (+ x y))) (* (cbrt (+ (* x y) (pow y 2))) (cbrt (+ (* x y) (pow y 2)))) (cbrt (+ (* x y) (pow y 2))) (pow (* y (+ x y)) 3) (sqrt (+ (* x y) (pow y 2))) (sqrt (+ (* x y) (pow y 2))) (+ (pow (* x y) 3) (pow (pow y 2) 3)) (* (pow y 2) (+ (* y (- y x)) (pow x 2))) (* (pow y 2) (- (pow x 2) (pow y 2))) (* y (- x y)) (+ x y) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) 0.696 * * * [progress]: adding candidates to table 0.855 * * [progress]: iteration 4 / 4 0.855 * * * [progress]: picking best candidate 0.860 * * * * [pick]: Picked # 0.860 * * * [progress]: localizing error 0.867 * * * [progress]: generating rewritten candidates 0.867 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.872 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.875 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.883 * * * [progress]: generating series expansions 0.883 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.884 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.884 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.884 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.884 * [taylor]: Taking taylor expansion of 2 in y 0.884 * [taylor]: Taking taylor expansion of x in y 0.884 * [taylor]: Taking taylor expansion of y in y 0.884 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.884 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.884 * [taylor]: Taking taylor expansion of 2 in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of y in x 0.884 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.884 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.884 * [taylor]: Taking taylor expansion of 2 in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of y in x 0.884 * [taylor]: Taking taylor expansion of y in y 0.885 * [taylor]: Taking taylor expansion of 2 in y 0.886 * [taylor]: Taking taylor expansion of 0 in y 0.887 * [taylor]: Taking taylor expansion of 0 in y 0.887 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.887 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.887 * [taylor]: Taking taylor expansion of 2 in y 0.887 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.887 * [taylor]: Taking taylor expansion of x in y 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.887 * [taylor]: Taking taylor expansion of y in x 0.887 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.887 * [taylor]: Taking taylor expansion of 2 in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.888 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.888 * [taylor]: Taking taylor expansion of 2 in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of 2 in y 0.889 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of 0 in y 0.893 * [taylor]: Taking taylor expansion of 0 in y 0.894 * [taylor]: Taking taylor expansion of 0 in y 0.895 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.895 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.895 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.895 * [taylor]: Taking taylor expansion of y in y 0.895 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.895 * [taylor]: Taking taylor expansion of 2 in y 0.895 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.895 * [taylor]: Taking taylor expansion of x in y 0.895 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.895 * [taylor]: Taking taylor expansion of y in x 0.895 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.895 * [taylor]: Taking taylor expansion of 2 in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.896 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.896 * [taylor]: Taking taylor expansion of y in x 0.896 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.896 * [taylor]: Taking taylor expansion of 2 in x 0.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of -2 in y 0.898 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.902 * [taylor]: Taking taylor expansion of 0 in y 0.904 * [taylor]: Taking taylor expansion of 0 in y 0.904 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.905 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.905 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.905 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.905 * [taylor]: Taking taylor expansion of x in y 0.905 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.905 * [taylor]: Taking taylor expansion of 2 in y 0.905 * [taylor]: Taking taylor expansion of (* x y) in y 0.905 * [taylor]: Taking taylor expansion of x in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.905 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.905 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.905 * [taylor]: Taking taylor expansion of 2 in x 0.905 * [taylor]: Taking taylor expansion of (* x y) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.905 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.905 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.905 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.905 * [taylor]: Taking taylor expansion of 2 in x 0.905 * [taylor]: Taking taylor expansion of (* x y) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.906 * [taylor]: Taking taylor expansion of 2 in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of 1 in y 0.910 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.910 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.910 * [taylor]: Taking taylor expansion of 2 in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.910 * [taylor]: Taking taylor expansion of (* x y) in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.911 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.911 * [taylor]: Taking taylor expansion of y in x 0.911 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.911 * [taylor]: Taking taylor expansion of 2 in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.911 * [taylor]: Taking taylor expansion of (* x y) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.912 * [taylor]: Taking taylor expansion of 2 in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.913 * [taylor]: Taking taylor expansion of (* x y) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of y in x 0.913 * [taylor]: Taking taylor expansion of 1 in y 0.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.914 * [taylor]: Taking taylor expansion of 2 in y 0.914 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.916 * [taylor]: Taking taylor expansion of y in y 0.921 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.921 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.921 * [taylor]: Taking taylor expansion of x in y 0.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.922 * [taylor]: Taking taylor expansion of 2 in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.922 * [taylor]: Taking taylor expansion of (* x y) in y 0.922 * [taylor]: Taking taylor expansion of x in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.923 * [taylor]: Taking taylor expansion of 2 in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.923 * [taylor]: Taking taylor expansion of (* x y) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.924 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.924 * [taylor]: Taking taylor expansion of 2 in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.924 * [taylor]: Taking taylor expansion of (* x y) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of 1 in y 0.926 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.926 * [taylor]: Taking taylor expansion of 2 in y 0.926 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.926 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.929 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.929 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 0.929 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 0.929 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.929 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.929 * [taylor]: Taking taylor expansion of 2 in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of y in x 0.929 * [taylor]: Taking taylor expansion of y in x 0.930 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 0.930 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.930 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.930 * [taylor]: Taking taylor expansion of 2 in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 0.930 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.930 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.930 * [taylor]: Taking taylor expansion of 2 in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of 0 in x 0.931 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.931 * [taylor]: Taking taylor expansion of 2 in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of 1 in x 0.934 * [taylor]: Taking taylor expansion of 0 in x 0.936 * [taylor]: Taking taylor expansion of 0 in x 0.936 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 0.936 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.937 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.937 * [taylor]: Taking taylor expansion of 2 in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.937 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.937 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.938 * [taylor]: Taking taylor expansion of 2 in y 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.938 * [taylor]: Taking taylor expansion of x in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.938 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.939 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.939 * [taylor]: Taking taylor expansion of 2 in y 0.939 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.939 * [taylor]: Taking taylor expansion of x in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.939 * [taylor]: Taking taylor expansion of 1 in x 0.940 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.940 * [taylor]: Taking taylor expansion of 2 in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of 0 in x 0.946 * [taylor]: Taking taylor expansion of 0 in x 0.950 * [taylor]: Taking taylor expansion of 0 in x 0.950 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 0.950 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 0.950 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.950 * [taylor]: Taking taylor expansion of y in x 0.950 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.950 * [taylor]: Taking taylor expansion of 2 in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of y in x 0.951 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.951 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.951 * [taylor]: Taking taylor expansion of 2 in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.951 * [taylor]: Taking taylor expansion of x in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.952 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.952 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.952 * [taylor]: Taking taylor expansion of 2 in y 0.952 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.952 * [taylor]: Taking taylor expansion of x in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.953 * [taylor]: Taking taylor expansion of 1 in x 0.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.954 * [taylor]: Taking taylor expansion of 2 in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of 0 in x 0.960 * [taylor]: Taking taylor expansion of 0 in x 0.964 * [taylor]: Taking taylor expansion of 0 in x 0.964 * * * [progress]: simplifying candidates 0.965 * [simplify]: Simplifying using # : (* (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 x)) (exp (* y (+ x (+ x y))))) (log (+ (* x x) (* y (+ x (+ x y))))) (exp (+ (* x x) (* y (+ x (+ x y))))) (* (cbrt (+ (* x x) (* y (+ x (+ x y))))) (cbrt (+ (* x x) (* y (+ x (+ x y)))))) (cbrt (+ (* x x) (* y (+ x (+ x y))))) (* (* (+ (* x x) (* y (+ x (+ x y)))) (+ (* x x) (* y (+ x (+ x y))))) (+ (* x x) (* y (+ x (+ x y))))) (sqrt (+ (* x x) (* y (+ x (+ x y))))) (sqrt (+ (* x x) (* y (+ x (+ x y))))) (+ (pow (* x x) 3) (pow (* y (+ x (+ x y))) 3)) (+ (* (* x x) (* x x)) (- (* (* y (+ x (+ x y))) (* y (+ x (+ x y)))) (* (* x x) (* y (+ x (+ x y)))))) (- (* (* x x) (* x x)) (* (* y (+ x (+ x y))) (* y (+ x (+ x y))))) (- (* x x) (* y (+ x (+ x y)))) (+ (* x x) (* y x)) (+ (* x x) (* x y)) (* 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) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 0.969 * * [simplify]: iteration 0 : 252 enodes (cost 301 ) 0.974 * * [simplify]: iteration 1 : 1187 enodes (cost 261 ) 1.000 * * [simplify]: iteration 2 : 5001 enodes (cost 244 ) 1.003 * [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 3) (pow (+ x y) 3)) (+ (* y (+ x y)) (pow x 2)) (* (- 0 y) (+ x (+ x y))) (- 0 y) (+ x (+ x y)) (+ x (+ x y)) (+ x x) (exp (* (+ x y) (+ x y))) (+ (log (+ x y)) (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (+ (* x x) (* y (+ x (+ x y))))) (cbrt (+ (* x x) (* y (+ x (+ x y)))))) (cbrt (+ (* x x) (* y (+ x (+ x y))))) (pow (* (+ x y) (+ x y)) 3) (fabs (+ x y)) (fabs (+ x y)) (+ (pow (* x x) 3) (pow (* y (+ x (+ x y))) 3)) (+ (* (* y (+ x (+ x y))) (- (* y (+ x (+ x y))) (pow x 2))) (* (* x x) (* x x))) (* (- (* x x) (* y (+ x (+ x y)))) (* (+ x y) (+ x y))) (- (* x x) (* y (+ x (+ x y)))) (* x (+ x y)) (* x (+ x y)) (* y (+ x (+ x y))) (log (* y (+ x (+ x y)))) (log (* y (+ x (+ x y)))) (exp (* y (+ x (+ x y)))) (pow (* y (+ x (+ x y))) 3) (* (cbrt (* y (+ x (+ x y)))) (cbrt (* y (+ x (+ x y))))) (cbrt (* y (+ x (+ x y)))) (pow (* y (+ x (+ x y))) 3) (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)) (* y x) (* y (+ x y)) (* y (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))) (* y (sqrt (+ x (+ x y)))) y y y (* (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 y))) (- 0 y)) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* y (+ x (+ x y))) (* y (+ x (+ x y))) (* y (+ x (+ x y))) 1.003 * * * [progress]: adding candidates to table 1.124 * [progress]: [Phase 3 of 3] Extracting. 1.124 * * [regime]: Finding splitpoints for: (# # #) 1.124 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.124 * * * * [regimes]: Trying to branch on y from (# # #) 1.158 * * * * [regimes]: Trying to branch on x from (# # #) 1.194 * * * [regime]: Found split indices: #