24.847 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.023 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.025 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.026 * * [simplify]: iteration 2 : 53 enodes (cost 3 ) 0.028 * * [simplify]: iteration 3 : 80 enodes (cost 3 ) 0.030 * * [simplify]: iteration 4 : 98 enodes (cost 3 ) 0.032 * * [simplify]: iteration 5 : 107 enodes (cost 3 ) 0.034 * * [simplify]: iteration 6 : 113 enodes (cost 3 ) 0.036 * * [simplify]: iteration 7 : 113 enodes (cost 3 ) 0.036 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.058 * * * [progress]: generating series expansions 0.058 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.058 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.058 * [taylor]: Taking taylor expansion of (+ x y) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.058 * [taylor]: Taking taylor expansion of (+ x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.059 * [taylor]: Taking taylor expansion of (+ x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.059 * [taylor]: Taking taylor expansion of 2 in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of 1 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 0.062 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.062 * [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 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [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 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.068 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.068 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.069 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 1 in y 0.071 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.071 * [taylor]: Taking taylor expansion of 2 in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.074 * * * [progress]: simplifying candidates 0.074 * [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 ) 0.083 * * [simplify]: iteration 1 : 901 enodes (cost 188 ) 0.109 * * [simplify]: iteration 2 : 5001 enodes (cost 170 ) 0.110 * [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)) 0.111 * * * [progress]: adding candidates to table 0.160 * * [progress]: iteration 2 / 4 0.160 * * * [progress]: picking best candidate 0.164 * * * * [pick]: Picked # 0.164 * * * [progress]: localizing error 0.170 * * * [progress]: generating rewritten candidates 0.170 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.183 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.189 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.199 * * * [progress]: generating series expansions 0.199 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.200 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.200 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of (+ x y) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (+ x y) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (+ x y) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of 1 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of 1 in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of 1 in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.227 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.227 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.227 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.227 * [taylor]: Taking taylor expansion of 2 in y 0.227 * [taylor]: Taking taylor expansion of (* x y) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.228 * [taylor]: Taking taylor expansion of 2 in x 0.228 * [taylor]: Taking taylor expansion of (* x y) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.228 * [taylor]: Taking taylor expansion of 2 in x 0.228 * [taylor]: Taking taylor expansion of (* x y) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.229 * [taylor]: Taking taylor expansion of 2 in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of 1 in y 0.233 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.234 * [taylor]: Taking taylor expansion of 2 in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.234 * [taylor]: Taking taylor expansion of (* x y) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.235 * [taylor]: Taking taylor expansion of 2 in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.235 * [taylor]: Taking taylor expansion of (* x y) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.236 * [taylor]: Taking taylor expansion of 2 in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.236 * [taylor]: Taking taylor expansion of (* x y) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of 1 in y 0.238 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.238 * [taylor]: Taking taylor expansion of 2 in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.242 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.243 * [taylor]: Taking taylor expansion of 2 in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.243 * [taylor]: Taking taylor expansion of (* x y) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.244 * [taylor]: Taking taylor expansion of 2 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.244 * [taylor]: Taking taylor expansion of (* x y) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.245 * [taylor]: Taking taylor expansion of 2 in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.245 * [taylor]: Taking taylor expansion of (* x y) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of 1 in y 0.247 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.247 * [taylor]: Taking taylor expansion of 2 in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.250 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.250 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.250 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (+ x y) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (+ x y) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (+ x y) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of 0 in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of 1 in x 0.253 * [taylor]: Taking taylor expansion of 0 in x 0.254 * [taylor]: Taking taylor expansion of 0 in x 0.255 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.255 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of 1 in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of 0 in x 0.267 * [taylor]: Taking taylor expansion of 0 in x 0.270 * [taylor]: Taking taylor expansion of 0 in x 0.270 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.270 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of 1 in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of 0 in x 0.278 * [taylor]: Taking taylor expansion of 0 in x 0.281 * [taylor]: Taking taylor expansion of 0 in x 0.282 * * * [progress]: simplifying candidates 0.283 * [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)) 0.288 * * [simplify]: iteration 0 : 349 enodes (cost 386 ) 0.296 * * [simplify]: iteration 1 : 1961 enodes (cost 333 ) 0.339 * * [simplify]: iteration 2 : 5001 enodes (cost 331 ) 0.341 * [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)) 0.341 * * * [progress]: adding candidates to table 0.457 * * [progress]: iteration 3 / 4 0.457 * * * [progress]: picking best candidate 0.460 * * * * [pick]: Picked # 0.460 * * * [progress]: localizing error 0.471 * * * [progress]: generating rewritten candidates 0.471 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.480 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.485 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.502 * * * [progress]: generating series expansions 0.502 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.502 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.502 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.502 * [taylor]: Taking taylor expansion of x in y 0.502 * [taylor]: Taking taylor expansion of (+ x y) in y 0.502 * [taylor]: Taking taylor expansion of x in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (+ x y) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (+ x y) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of 1 in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.507 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.507 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.508 * [taylor]: Taking taylor expansion of x in y 0.508 * [taylor]: Taking taylor expansion of x in y 0.508 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of 1 in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.518 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.518 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.518 * [taylor]: Taking taylor expansion of x in y 0.518 * [taylor]: Taking taylor expansion of x in y 0.519 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.519 * [taylor]: Taking taylor expansion of y in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of 1 in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.528 * [taylor]: Taking taylor expansion of 0 in y 0.529 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.529 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* x y)) in (x y) around 0 0.529 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in y 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of (* x y) in y 0.529 * [taylor]: Taking taylor expansion of x in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in x 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.529 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of (* x y) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in x 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.529 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of (* x y) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.532 * [taylor]: Taking taylor expansion of 0 in y 0.535 * [taylor]: Taking taylor expansion of 0 in y 0.535 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in (x y) around 0 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.536 * [taylor]: Taking taylor expansion of (* x y) in y 0.536 * [taylor]: Taking taylor expansion of x in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.536 * [taylor]: Taking taylor expansion of y in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.536 * [taylor]: Taking taylor expansion of (* x y) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of y in x 0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.537 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.537 * [taylor]: Taking taylor expansion of y in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.537 * [taylor]: Taking taylor expansion of (* x y) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of y in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.543 * [taylor]: Taking taylor expansion of 0 in y 0.547 * [taylor]: Taking taylor expansion of 0 in y 0.548 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in (x y) around 0 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.549 * [taylor]: Taking taylor expansion of (* x y) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.549 * [taylor]: Taking taylor expansion of (* x y) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.550 * [taylor]: Taking taylor expansion of (* x y) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.555 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of 0 in y 0.559 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.564 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.565 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.565 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.565 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.565 * [taylor]: Taking taylor expansion of 2 in y 0.565 * [taylor]: Taking taylor expansion of (* x y) in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.565 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.565 * [taylor]: Taking taylor expansion of 2 in x 0.565 * [taylor]: Taking taylor expansion of (* x y) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.565 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.565 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.565 * [taylor]: Taking taylor expansion of 2 in x 0.565 * [taylor]: Taking taylor expansion of (* x y) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.566 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.566 * [taylor]: Taking taylor expansion of 2 in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of 1 in y 0.570 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.571 * [taylor]: Taking taylor expansion of 2 in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.571 * [taylor]: Taking taylor expansion of (* x y) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.571 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.572 * [taylor]: Taking taylor expansion of 2 in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.572 * [taylor]: Taking taylor expansion of (* x y) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.573 * [taylor]: Taking taylor expansion of 2 in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.573 * [taylor]: Taking taylor expansion of (* x y) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of 1 in y 0.574 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.574 * [taylor]: Taking taylor expansion of 2 in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.578 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.579 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.579 * [taylor]: Taking taylor expansion of 2 in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.579 * [taylor]: Taking taylor expansion of (* x y) in y 0.579 * [taylor]: Taking taylor expansion of x in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.580 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.580 * [taylor]: Taking taylor expansion of 2 in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.580 * [taylor]: Taking taylor expansion of (* x y) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (/ 1 (* x y))) in x 0.581 * [taylor]: Taking taylor expansion of 2 in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 0.582 * [taylor]: Taking taylor expansion of 1 in y 0.582 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.583 * [taylor]: Taking taylor expansion of 2 in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.586 * * * [progress]: simplifying candidates 0.587 * [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 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) (* (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))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow 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)))) 0.592 * * [simplify]: iteration 0 : 369 enodes (cost 434 ) 0.600 * * [simplify]: iteration 1 : 1880 enodes (cost 397 ) 0.640 * * [simplify]: iteration 2 : 5001 enodes (cost 362 ) 0.643 * [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 (* 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) (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)) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 0.643 * * * [progress]: adding candidates to table 0.764 * * [progress]: iteration 4 / 4 0.764 * * * [progress]: picking best candidate 0.769 * * * * [pick]: Picked # 0.769 * * * [progress]: localizing error 0.778 * * * [progress]: generating rewritten candidates 0.778 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.783 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.821 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.827 * * * [progress]: generating series expansions 0.827 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.827 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* x y)) in (x y) around 0 0.827 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 0.827 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.827 * [taylor]: Taking taylor expansion of x in y 0.827 * [taylor]: Taking taylor expansion of (* x y) in y 0.827 * [taylor]: Taking taylor expansion of x in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.827 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.827 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (* x y) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.827 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (* x y) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.828 * [taylor]: Taking taylor expansion of 0 in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.829 * [taylor]: Taking taylor expansion of 1 in y 0.831 * [taylor]: Taking taylor expansion of 0 in y 0.832 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.833 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.833 * [taylor]: Taking taylor expansion of x in y 0.833 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.833 * [taylor]: Taking taylor expansion of (* x y) in y 0.833 * [taylor]: Taking taylor expansion of x in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.834 * [taylor]: Taking taylor expansion of (* x y) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of y in x 0.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.834 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.835 * [taylor]: Taking taylor expansion of (* x y) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of y in x 0.835 * [taylor]: Taking taylor expansion of 1 in y 0.836 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.841 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [taylor]: Taking taylor expansion of 0 in y 0.847 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.847 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.847 * [taylor]: Taking taylor expansion of x in y 0.847 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.847 * [taylor]: Taking taylor expansion of (* x y) in y 0.847 * [taylor]: Taking taylor expansion of x in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.847 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.848 * [taylor]: Taking taylor expansion of (* x y) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.849 * [taylor]: Taking taylor expansion of (* x y) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of 1 in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of 0 in y 0.855 * [taylor]: Taking taylor expansion of 0 in y 0.858 * [taylor]: Taking taylor expansion of 0 in y 0.858 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.858 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.858 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.858 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.858 * [taylor]: Taking taylor expansion of x in y 0.858 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.858 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.858 * [taylor]: Taking taylor expansion of 2 in y 0.858 * [taylor]: Taking taylor expansion of (* x y) in y 0.858 * [taylor]: Taking taylor expansion of x in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.858 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.859 * [taylor]: Taking taylor expansion of 2 in x 0.859 * [taylor]: Taking taylor expansion of (* x y) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.859 * [taylor]: Taking taylor expansion of 2 in x 0.859 * [taylor]: Taking taylor expansion of (* x y) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.860 * [taylor]: Taking taylor expansion of 2 in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.862 * [taylor]: Taking taylor expansion of 1 in y 0.863 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.863 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.863 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.864 * [taylor]: Taking taylor expansion of 2 in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.864 * [taylor]: Taking taylor expansion of (* x y) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.865 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.865 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.865 * [taylor]: Taking taylor expansion of y in x 0.865 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.865 * [taylor]: Taking taylor expansion of 2 in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.865 * [taylor]: Taking taylor expansion of (* x y) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of y in x 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.866 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.866 * [taylor]: Taking taylor expansion of y in x 0.866 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.866 * [taylor]: Taking taylor expansion of 2 in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.866 * [taylor]: Taking taylor expansion of (* x y) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of 1 in y 0.868 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.868 * [taylor]: Taking taylor expansion of 2 in y 0.868 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.870 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.870 * [taylor]: Taking taylor expansion of y in y 0.872 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.872 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.872 * [taylor]: Taking taylor expansion of x in y 0.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.872 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.872 * [taylor]: Taking taylor expansion of 2 in y 0.872 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.872 * [taylor]: Taking taylor expansion of (* x y) in y 0.872 * [taylor]: Taking taylor expansion of x in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.873 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.873 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.874 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.874 * [taylor]: Taking taylor expansion of 2 in x 0.874 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.874 * [taylor]: Taking taylor expansion of (* x y) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of y in x 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.874 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.874 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.875 * [taylor]: Taking taylor expansion of y in x 0.875 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.875 * [taylor]: Taking taylor expansion of 2 in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.875 * [taylor]: Taking taylor expansion of (* x y) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of y in x 0.875 * [taylor]: Taking taylor expansion of 1 in y 0.876 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.876 * [taylor]: Taking taylor expansion of 2 in y 0.876 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.876 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.880 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.880 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* x y)) in (x y) around 0 0.880 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in y 0.880 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.880 * [taylor]: Taking taylor expansion of (* x y) in y 0.880 * [taylor]: Taking taylor expansion of x in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.880 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in x 0.880 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.880 * [taylor]: Taking taylor expansion of y in x 0.880 * [taylor]: Taking taylor expansion of (* x y) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of y in x 0.880 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in x 0.880 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.880 * [taylor]: Taking taylor expansion of y in x 0.880 * [taylor]: Taking taylor expansion of (* x y) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of y in x 0.880 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.881 * [taylor]: Taking taylor expansion of y in y 0.882 * [taylor]: Taking taylor expansion of 0 in y 0.883 * [taylor]: Taking taylor expansion of 0 in y 0.886 * [taylor]: Taking taylor expansion of 0 in y 0.886 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in (x y) around 0 0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.886 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.886 * [taylor]: Taking taylor expansion of (* x y) in y 0.886 * [taylor]: Taking taylor expansion of x in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.887 * [taylor]: Taking taylor expansion of y in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.887 * [taylor]: Taking taylor expansion of (* x y) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of y in x 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.887 * [taylor]: Taking taylor expansion of y in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.887 * [taylor]: Taking taylor expansion of (* x y) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of 0 in y 0.894 * [taylor]: Taking taylor expansion of 0 in y 0.897 * [taylor]: Taking taylor expansion of 0 in y 0.899 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in (x y) around 0 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.899 * [taylor]: Taking taylor expansion of (* x y) in y 0.899 * [taylor]: Taking taylor expansion of x in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.900 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.900 * [taylor]: Taking taylor expansion of y in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.900 * [taylor]: Taking taylor expansion of (* x y) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of y in x 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.900 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.900 * [taylor]: Taking taylor expansion of y in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.900 * [taylor]: Taking taylor expansion of (* x y) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of y in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.902 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of 0 in y 0.906 * [taylor]: Taking taylor expansion of 0 in y 0.910 * [taylor]: Taking taylor expansion of 0 in y 0.912 * * * [progress]: simplifying candidates 0.912 * [simplify]: Simplifying using # : (* (exp (pow x 2)) (exp (* x y))) (log (+ (pow x 2) (* x y))) (exp (+ (pow x 2) (* x y))) (* (cbrt (+ (pow x 2) (* x y))) (cbrt (+ (pow x 2) (* x y)))) (cbrt (+ (pow x 2) (* x y))) (* (* (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y))) (+ (pow x 2) (* x y))) (sqrt (+ (pow x 2) (* x y))) (sqrt (+ (pow x 2) (* x y))) (+ (pow (pow x 2) 3) (pow (* x y) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (* x y) (* x y)) (* (pow x 2) (* x y)))) (- (* (pow x 2) (pow x 2)) (* (* x y) (* x y))) (- (pow x 2) (* x y)) (+ x y) (* (* (exp (pow x 2)) (exp (* x y))) (* (exp (* x y)) (exp (pow y 2)))) (* (* (exp (pow x 2)) (exp (* x y))) (exp (+ (* x y) (pow y 2)))) (* (exp (+ (pow x 2) (* x y))) (* (exp (* x y)) (exp (pow y 2)))) (* (exp (+ (pow x 2) (* x y))) (exp (+ (* x y) (pow y 2)))) (log (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (exp (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (* (cbrt (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (cbrt (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2))))) (cbrt (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (* (* (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2))) (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (sqrt (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (sqrt (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (+ (* (+ (pow (pow x 2) 3) (pow (* x y) 3)) (+ (* (* x y) (* x y)) (- (* (pow y 2) (pow y 2)) (* (* x y) (pow y 2))))) (* (+ (* (pow x 2) (pow x 2)) (- (* (* x y) (* x y)) (* (pow x 2) (* x y)))) (+ (pow (* x y) 3) (pow (pow y 2) 3)))) (* (+ (* (pow x 2) (pow x 2)) (- (* (* x y) (* x y)) (* (pow x 2) (* x y)))) (+ (* (* x y) (* x y)) (- (* (pow y 2) (pow y 2)) (* (* x y) (pow y 2))))) (+ (* (+ (pow (pow x 2) 3) (pow (* x y) 3)) (- (* x y) (pow y 2))) (* (+ (* (pow x 2) (pow x 2)) (- (* (* x y) (* x y)) (* (pow x 2) (* x y)))) (- (* (* x y) (* x y)) (* (pow y 2) (pow y 2))))) (* (+ (* (pow x 2) (pow x 2)) (- (* (* x y) (* x y)) (* (pow x 2) (* x y)))) (- (* x y) (pow y 2))) (+ (* (- (* (pow x 2) (pow x 2)) (* (* x y) (* x y))) (+ (* (* x y) (* x y)) (- (* (pow y 2) (pow y 2)) (* (* x y) (pow y 2))))) (* (- (pow x 2) (* x y)) (+ (pow (* x y) 3) (pow (pow y 2) 3)))) (* (- (pow x 2) (* x y)) (+ (* (* x y) (* x y)) (- (* (pow y 2) (pow y 2)) (* (* x y) (pow y 2))))) (+ (* (- (* (pow x 2) (pow x 2)) (* (* x y) (* x y))) (- (* x y) (pow y 2))) (* (- (pow x 2) (* x y)) (- (* (* x y) (* x y)) (* (pow y 2) (pow y 2))))) (* (- (pow x 2) (* x y)) (- (* x y) (pow y 2))) (+ (pow (+ (pow x 2) (* x y)) 3) (pow (+ (* x y) (pow y 2)) 3)) (+ (* (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y))) (- (* (+ (* x y) (pow y 2)) (+ (* x y) (pow y 2))) (* (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2))))) (- (* (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y))) (* (+ (* x y) (pow y 2)) (+ (* x y) (pow y 2)))) (- (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2))) (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2))) (+ x y) (+ (+ (pow x 2) (* x y)) (* x y)) (+ (* x y) (+ (* 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)) 0.917 * * [simplify]: iteration 0 : 303 enodes (cost 500 ) 0.924 * * [simplify]: iteration 1 : 1401 enodes (cost 468 ) 0.955 * * [simplify]: iteration 2 : 5002 enodes (cost 410 ) 0.957 * [simplify]: Simplified to: (pow (exp x) (+ x y)) (log (+ (pow x 2) (* x y))) (pow (exp x) (+ x y)) (* (cbrt (+ (pow x 2) (* x y))) (cbrt (+ (pow x 2) (* x y)))) (cbrt (+ (pow x 2) (* x y))) (pow (* x (+ x y)) 3) (sqrt (+ (pow x 2) (* x y))) (sqrt (+ (pow x 2) (* x y))) (+ (pow (pow x 2) 3) (pow (* x y) 3)) (* (pow x 2) (+ (pow x 2) (* y (- y x)))) (* (pow x 2) (- (pow x 2) (pow y 2))) (* x (- x y)) (+ x y) (exp (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (exp (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (exp (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (exp (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (log (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (exp (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (* (cbrt (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (cbrt (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2))))) (cbrt (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (pow (+ (+ (* x (+ x y)) (pow y 2)) (* x y)) 3) (sqrt (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (sqrt (+ (+ (pow x 2) (* x y)) (+ (* x y) (pow y 2)))) (+ (+ (* (+ (pow (* x y) 3) (pow (pow y 2) 3)) (+ (* (* x y) (- (* x y) (pow x 2))) (pow x 4))) (* (pow y 2) (* (* y (- y x)) (+ (pow (pow x 2) 3) (pow (* x y) 3))))) (* (* (* x y) (* x y)) (+ (pow (pow x 2) 3) (pow (* x y) 3)))) (* (- (+ (* (* x y) (* x y)) (pow y 4)) (* (* x y) (pow y 2))) (+ (* (* x y) (- (* x y) (pow x 2))) (pow x 4))) (* (* y (- x y)) (+ (* (+ (* (* x y) (- (* x y) (pow x 2))) (pow x 4)) (* y (+ x y))) (+ (pow (pow x 2) 3) (pow (* x y) 3)))) (* (- (* x y) (pow y 2)) (+ (* (* x y) (- (* x y) (pow x 2))) (pow x 4))) (* (* x (- x y)) (+ (+ (pow (* x y) 3) (pow (pow y 2) 3)) (* (- (+ (* (* x y) (* x y)) (pow y 4)) (* (* x y) (pow y 2))) (* x (+ x y))))) (* (- (+ (* (* x y) (* x y)) (pow y 4)) (* (* x y) (pow y 2))) (- (pow x 2) (* x y))) (* (* (- (pow x 2) (* x y)) (- (* x y) (pow y 2))) (* (+ x y) (+ x y))) (* (- (pow x 2) (* x y)) (- (* x y) (pow y 2))) (+ (pow (+ (pow x 2) (* x y)) 3) (pow (+ (* x y) (pow y 2)) 3)) (+ (* (+ (* x y) (pow y 2)) (- (+ (* x y) (pow y 2)) (+ (pow x 2) (* x y)))) (* (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)))) (* (- (- (* x (+ x y)) (pow y 2)) (* x y)) (+ (+ (* x (+ x y)) (pow y 2)) (* x y))) (* (+ x y) (- x y)) (* (+ x y) (+ x y)) (+ x y) (* x (+ x (+ y y))) (* y (+ (* 2 x) y)) (pow (exp y) (+ x y)) (log (+ (* x y) (pow y 2))) (pow (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) (+ (pow x 2) (* y (- y x)))) (* (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)) 0.957 * * * [progress]: adding candidates to table 1.075 * [progress]: [Phase 3 of 3] Extracting. 1.075 * * [regime]: Finding splitpoints for: (# #) 1.075 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.075 * * * * [regimes]: Trying to branch on y from (# #) 1.086 * * * * [regimes]: Trying to branch on x from (# #) 1.097 * * * [regime]: Found split indices: #