46.555 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.021 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 53 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 80 enodes (cost 3 ) 0.028 * * [simplify]: iteration 4 : 98 enodes (cost 3 ) 0.029 * * [simplify]: iteration 5 : 107 enodes (cost 3 ) 0.031 * * [simplify]: iteration 6 : 113 enodes (cost 3 ) 0.033 * * [simplify]: iteration 7 : 113 enodes (cost 3 ) 0.034 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.051 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.052 * [taylor]: Taking taylor expansion of (+ x y) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.052 * [taylor]: Taking taylor expansion of (+ x y) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.052 * [taylor]: Taking taylor expansion of (+ x y) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.053 * [taylor]: Taking taylor expansion of 2 in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 1 in y 0.055 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of 1 in y 0.058 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of 2 in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.061 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 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 1 in y 0.063 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.064 * [taylor]: Taking taylor expansion of 2 in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.066 * * * [progress]: simplifying candidates 0.067 * [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)))) 0.071 * * [simplify]: iteration 0 : 189 enodes (cost 213 ) 0.076 * * [simplify]: iteration 1 : 901 enodes (cost 188 ) 0.101 * * [simplify]: iteration 2 : 5001 enodes (cost 170 ) 0.103 * [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)) 0.103 * * * [progress]: adding candidates to table 0.142 * * [progress]: iteration 2 / 4 0.142 * * * [progress]: picking best candidate 0.148 * * * * [pick]: Picked # 0.148 * * * [progress]: localizing error 0.153 * * * [progress]: generating rewritten candidates 0.153 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.160 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.166 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.173 * * * [progress]: generating series expansions 0.173 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.174 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.174 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.174 * [taylor]: Taking taylor expansion of 2 in y 0.174 * [taylor]: Taking taylor expansion of (* x y) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.174 * [taylor]: Taking taylor expansion of 2 in x 0.174 * [taylor]: Taking taylor expansion of (* x y) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.174 * [taylor]: Taking taylor expansion of 2 in x 0.174 * [taylor]: Taking taylor expansion of (* x y) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.176 * [taylor]: Taking taylor expansion of 2 in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of 1 in y 0.179 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.180 * [taylor]: Taking taylor expansion of 2 in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.180 * [taylor]: Taking taylor expansion of (* x y) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.181 * [taylor]: Taking taylor expansion of 2 in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.181 * [taylor]: Taking taylor expansion of (* x y) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.182 * [taylor]: Taking taylor expansion of 2 in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.182 * [taylor]: Taking taylor expansion of (* x y) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of 1 in y 0.183 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.184 * [taylor]: Taking taylor expansion of 2 in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.187 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.188 * [taylor]: Taking taylor expansion of 2 in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.188 * [taylor]: Taking taylor expansion of (* x y) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.189 * [taylor]: Taking taylor expansion of 2 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.189 * [taylor]: Taking taylor expansion of (* x y) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.190 * [taylor]: Taking taylor expansion of 2 in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.190 * [taylor]: Taking taylor expansion of (* x y) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of 1 in y 0.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.192 * [taylor]: Taking taylor expansion of 2 in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.195 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.195 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.195 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.195 * [taylor]: Taking taylor expansion of x in y 0.195 * [taylor]: Taking taylor expansion of (+ x y) in y 0.195 * [taylor]: Taking taylor expansion of x in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (+ x y) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (+ x y) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of 1 in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.199 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of 1 in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of 1 in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.220 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.220 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.220 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (+ x y) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (+ x y) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (+ x y) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of 0 in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of 1 in x 0.222 * [taylor]: Taking taylor expansion of 0 in x 0.226 * [taylor]: Taking taylor expansion of 0 in x 0.227 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.227 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of 1 in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of 0 in x 0.234 * [taylor]: Taking taylor expansion of 0 in x 0.237 * [taylor]: Taking taylor expansion of 0 in x 0.237 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.237 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of 1 in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of 0 in x 0.245 * [taylor]: Taking taylor expansion of 0 in x 0.247 * [taylor]: Taking taylor expansion of 0 in x 0.248 * * * [progress]: simplifying candidates 0.249 * [simplify]: Simplifying using # : (* (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))) (* 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))) (* 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) (+ (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 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)) 0.254 * * [simplify]: iteration 0 : 349 enodes (cost 386 ) 0.262 * * [simplify]: iteration 1 : 1961 enodes (cost 333 ) 0.303 * * [simplify]: iteration 2 : 5003 enodes (cost 331 ) 0.306 * [simplify]: Simplified to: (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))) (* 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))) (* 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))) (+ (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)))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) 0.306 * * * [progress]: adding candidates to table 0.399 * * [progress]: iteration 3 / 4 0.399 * * * [progress]: picking best candidate 0.402 * * * * [pick]: Picked # 0.402 * * * [progress]: localizing error 0.413 * * * [progress]: generating rewritten candidates 0.414 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.421 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.427 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.433 * * * [progress]: generating series expansions 0.433 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.433 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.433 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.433 * [taylor]: Taking taylor expansion of x in y 0.433 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.433 * [taylor]: Taking taylor expansion of 2 in y 0.433 * [taylor]: Taking taylor expansion of (* x y) in y 0.433 * [taylor]: Taking taylor expansion of x in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.433 * [taylor]: Taking taylor expansion of 2 in x 0.434 * [taylor]: Taking taylor expansion of (* x y) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.434 * [taylor]: Taking taylor expansion of 2 in x 0.434 * [taylor]: Taking taylor expansion of (* x y) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.435 * [taylor]: Taking taylor expansion of 2 in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of 1 in y 0.438 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.439 * [taylor]: Taking taylor expansion of 2 in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.439 * [taylor]: Taking taylor expansion of (* x y) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.440 * [taylor]: Taking taylor expansion of 2 in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.440 * [taylor]: Taking taylor expansion of (* x y) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.441 * [taylor]: Taking taylor expansion of 2 in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.441 * [taylor]: Taking taylor expansion of (* x y) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of 1 in y 0.443 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.443 * [taylor]: Taking taylor expansion of 2 in y 0.443 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.443 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.447 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.447 * [taylor]: Taking taylor expansion of 2 in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.447 * [taylor]: Taking taylor expansion of (* x y) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.448 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.448 * [taylor]: Taking taylor expansion of 2 in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.448 * [taylor]: Taking taylor expansion of (* x y) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.449 * [taylor]: Taking taylor expansion of 2 in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.449 * [taylor]: Taking taylor expansion of (* x y) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of 1 in y 0.451 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.451 * [taylor]: Taking taylor expansion of 2 in y 0.451 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.455 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.455 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.455 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (+ x y) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of (+ x y) in y 0.455 * [taylor]: Taking taylor expansion of x in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of (+ x y) in y 0.455 * [taylor]: Taking taylor expansion of x in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of 0 in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of 1 in x 0.457 * [taylor]: Taking taylor expansion of 0 in x 0.458 * [taylor]: Taking taylor expansion of 0 in x 0.459 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.459 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.459 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.459 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.460 * [taylor]: Taking taylor expansion of x in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.461 * [taylor]: Taking taylor expansion of x in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of 1 in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of 0 in x 0.466 * [taylor]: Taking taylor expansion of 0 in x 0.469 * [taylor]: Taking taylor expansion of 0 in x 0.469 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.469 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.471 * [taylor]: Taking taylor expansion of x in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of 1 in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of 0 in x 0.477 * [taylor]: Taking taylor expansion of 0 in x 0.480 * [taylor]: Taking taylor expansion of 0 in x 0.480 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.480 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* x y)) in (x y) around 0 0.480 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.480 * [taylor]: Taking taylor expansion of x in y 0.480 * [taylor]: Taking taylor expansion of (* x y) in y 0.480 * [taylor]: Taking taylor expansion of x in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (* x y) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (* x y) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of 1 in y 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.486 * [taylor]: Taking taylor expansion of (* x y) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.486 * [taylor]: Taking taylor expansion of (* x y) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.487 * [taylor]: Taking taylor expansion of (* x y) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of 1 in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.500 * [taylor]: Taking taylor expansion of (* x y) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.501 * [taylor]: Taking taylor expansion of (* x y) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 1 in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.505 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.511 * * * [progress]: simplifying candidates 0.512 * [simplify]: Simplifying using # : (* (* (exp (pow x 2)) (exp (* x y))) (exp (* y (+ x y)))) (* (exp (+ (pow x 2) (* x y))) (exp (* y (+ x y)))) (log (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (exp (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (* (cbrt (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (cbrt (+ (+ (pow x 2) (* x y)) (* y (+ x y))))) (cbrt (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (* (* (+ (+ (pow x 2) (* x y)) (* y (+ x y))) (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (sqrt (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (sqrt (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (+ (* (+ (pow (pow x 2) 3) (pow (* x y) 3)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* (pow x 2) (pow x 2)) (- (* (* x y) (* x y)) (* (pow x 2) (* x y)))) (* y (+ (pow x 3) (pow y 3))))) (* (+ (* (pow x 2) (pow x 2)) (- (* (* x y) (* x y)) (* (pow x 2) (* x y)))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (+ (pow (pow x 2) 3) (pow (* x y) 3)) (- x y)) (* (+ (* (pow x 2) (pow x 2)) (- (* (* x y) (* x y)) (* (pow x 2) (* x y)))) (* y (- (* x x) (* y y))))) (* (+ (* (pow x 2) (pow x 2)) (- (* (* x y) (* x y)) (* (pow x 2) (* x y)))) (- x y)) (+ (* (- (* (pow x 2) (pow x 2)) (* (* x y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (- (pow x 2) (* x y)) (* y (+ (pow x 3) (pow y 3))))) (* (- (pow x 2) (* x y)) (+ (* x x) (- (* y y) (* x y)))) (+ (* (- (* (pow x 2) (pow x 2)) (* (* x y) (* x y))) (- x y)) (* (- (pow x 2) (* x y)) (* y (- (* x x) (* y y))))) (* (- (pow x 2) (* x y)) (- x y)) (+ (pow (+ (pow x 2) (* x y)) 3) (pow (* y (+ x y)) 3)) (+ (* (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y))) (- (* (* y (+ x y)) (* y (+ x y))) (* (+ (pow x 2) (* x y)) (* y (+ x y))))) (- (* (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y))) (* (* y (+ x y)) (* y (+ x y)))) (- (+ (pow x 2) (* x y)) (* y (+ x y))) (+ x y) (+ (+ (pow x 2) (* x y)) (* y x)) (+ (+ (pow x 2) (* x y)) (* x y)) (+ (* x y) (* 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))) (* (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) (+ (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)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 0.517 * * [simplify]: iteration 0 : 347 enodes (cost 431 ) 0.525 * * [simplify]: iteration 1 : 1776 enodes (cost 392 ) 0.562 * * [simplify]: iteration 2 : 5001 enodes (cost 362 ) 0.565 * [simplify]: Simplified to: (exp (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (+ (log (+ x y)) (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (cbrt (+ (+ (pow x 2) (* x y)) (* y (+ x y))))) (cbrt (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (pow (* (+ x y) (+ x y)) 3) (fabs (+ x y)) (fabs (+ x y)) (+ (* (* (- (+ (pow x 4) (* (* x y) (* x y))) (* (pow x 2) (* x y))) y) (+ (pow x 3) (pow y 3))) (* (+ (pow (pow x 2) 3) (pow (* x y) 3)) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* y (- y x)) (pow x 2)) (+ (* (* x y) (- (* x y) (pow x 2))) (pow x 4))) (+ (* (* (- (+ (pow x 4) (* (* x y) (* x y))) (* (pow x 2) (* x y))) y) (- (* x x) (* y y))) (* (+ (pow (pow x 2) 3) (pow (* x y) 3)) (- x y))) (* (- x y) (+ (* (* x y) (- (* x y) (pow x 2))) (pow x 4))) (+ (* (- (* (pow x 2) (pow x 2)) (* (* x y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (- (pow x 2) (* x y)) (* y (+ (pow x 3) (pow y 3))))) (* (+ (* y (- y x)) (pow x 2)) (- (pow x 2) (* x y))) (+ (* (- (* (pow x 2) (pow x 2)) (* (* x y) (* x y))) (- x y)) (* (- (pow x 2) (* x y)) (* y (- (* x x) (* y y))))) (* (- (pow x 2) (* x y)) (- x y)) (+ (pow (+ (pow x 2) (* x y)) 3) (pow (* y (+ x y)) 3)) (+ (* (* y (+ x y)) (- (* y (+ x y)) (+ (pow x 2) (* x y)))) (* (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)))) (* (* (+ x y) (+ x y)) (- (* x (+ x y)) (* y (+ x y)))) (- (* x x) (* y y)) (+ x y) (+ (* y (+ x x)) (pow x 2)) (+ (* y (+ x x)) (pow x 2)) (* y (+ (+ x y) x)) (* 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))) (exp (* x (+ x y))) (log (+ (pow x 2) (* x y))) (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) (+ (* y (- y x)) (pow x 2))) (* (pow x 2) (- (pow x 2) (pow y 2))) (* x (- x y)) (+ x y) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) 0.565 * * * [progress]: adding candidates to table 0.658 * * [progress]: iteration 4 / 4 0.658 * * * [progress]: picking best candidate 0.660 * * * * [pick]: Picked # 0.660 * * * [progress]: localizing error 0.666 * * * [progress]: generating rewritten candidates 0.667 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.673 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.685 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.694 * * * [progress]: generating series expansions 0.695 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.695 * [approximate]: Taking taylor expansion of (+ x (* 2 y)) in (x y) around 0 0.695 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.695 * [taylor]: Taking taylor expansion of x in y 0.695 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.695 * [taylor]: Taking taylor expansion of 2 in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.695 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.695 * [taylor]: Taking taylor expansion of 2 in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.695 * [taylor]: Taking taylor expansion of 2 in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.695 * [taylor]: Taking taylor expansion of 2 in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of 1 in y 0.697 * [taylor]: Taking taylor expansion of 0 in y 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.699 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in (x y) around 0 0.699 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.699 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.699 * [taylor]: Taking taylor expansion of 2 in y 0.699 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.700 * [taylor]: Taking taylor expansion of x in y 0.700 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.700 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.700 * [taylor]: Taking taylor expansion of 2 in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.700 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.700 * [taylor]: Taking taylor expansion of 2 in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.701 * [taylor]: Taking taylor expansion of 1 in y 0.701 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.701 * [taylor]: Taking taylor expansion of 2 in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.703 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [taylor]: Taking taylor expansion of 0 in y 0.707 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [approximate]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in (x y) around 0 0.708 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in y 0.708 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.708 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.708 * [taylor]: Taking taylor expansion of 2 in y 0.708 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.708 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.708 * [taylor]: Taking taylor expansion of x in y 0.708 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in x 0.708 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.708 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.708 * [taylor]: Taking taylor expansion of 2 in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.708 * [taylor]: Taking taylor expansion of y in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in x 0.708 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.708 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.708 * [taylor]: Taking taylor expansion of 2 in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of -1 in y 0.710 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.710 * [taylor]: Taking taylor expansion of 2 in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.712 * [taylor]: Taking taylor expansion of 0 in y 0.714 * [taylor]: Taking taylor expansion of 0 in y 0.717 * [taylor]: Taking taylor expansion of 0 in y 0.718 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.718 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.718 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.718 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.718 * [taylor]: Taking taylor expansion of x in y 0.718 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.718 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.718 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.718 * [taylor]: Taking taylor expansion of 2 in y 0.718 * [taylor]: Taking taylor expansion of (* x y) in y 0.718 * [taylor]: Taking taylor expansion of x in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.718 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.718 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.718 * [taylor]: Taking taylor expansion of y in x 0.718 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.718 * [taylor]: Taking taylor expansion of 2 in x 0.718 * [taylor]: Taking taylor expansion of (* x y) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of y in x 0.718 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.718 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.718 * [taylor]: Taking taylor expansion of y in x 0.718 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.718 * [taylor]: Taking taylor expansion of 2 in x 0.718 * [taylor]: Taking taylor expansion of (* x y) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of y in x 0.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.719 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.719 * [taylor]: Taking taylor expansion of 2 in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.722 * [taylor]: Taking taylor expansion of 1 in y 0.723 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.723 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.723 * [taylor]: Taking taylor expansion of x in y 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.724 * [taylor]: Taking taylor expansion of 2 in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.724 * [taylor]: Taking taylor expansion of (* x y) in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.724 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.725 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.725 * [taylor]: Taking taylor expansion of y in x 0.725 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.725 * [taylor]: Taking taylor expansion of 2 in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.725 * [taylor]: Taking taylor expansion of (* x y) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of y in x 0.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.725 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.726 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.726 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.726 * [taylor]: Taking taylor expansion of 2 in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.726 * [taylor]: Taking taylor expansion of (* x y) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of y in x 0.727 * [taylor]: Taking taylor expansion of 1 in y 0.727 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.727 * [taylor]: Taking taylor expansion of 2 in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.730 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.731 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.731 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.731 * [taylor]: Taking taylor expansion of x in y 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.731 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.732 * [taylor]: Taking taylor expansion of 2 in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.732 * [taylor]: Taking taylor expansion of (* x y) in y 0.732 * [taylor]: Taking taylor expansion of x in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.732 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.733 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.733 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.733 * [taylor]: Taking taylor expansion of 2 in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.733 * [taylor]: Taking taylor expansion of (* x y) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.733 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.734 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.734 * [taylor]: Taking taylor expansion of y in x 0.734 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.734 * [taylor]: Taking taylor expansion of 2 in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.734 * [taylor]: Taking taylor expansion of (* x y) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of y in x 0.735 * [taylor]: Taking taylor expansion of 1 in y 0.735 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.735 * [taylor]: Taking taylor expansion of 2 in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.739 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.739 * [approximate]: Taking taylor expansion of (* x (+ x (* 2 y))) in (x y) around 0 0.739 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 0.739 * [taylor]: Taking taylor expansion of x in y 0.739 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.739 * [taylor]: Taking taylor expansion of x in y 0.739 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.739 * [taylor]: Taking taylor expansion of 2 in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.739 * [taylor]: Taking taylor expansion of 2 in x 0.739 * [taylor]: Taking taylor expansion of y in x 0.739 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.739 * [taylor]: Taking taylor expansion of 2 in x 0.739 * [taylor]: Taking taylor expansion of y in x 0.739 * [taylor]: Taking taylor expansion of 0 in y 0.740 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.740 * [taylor]: Taking taylor expansion of 2 in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.742 * [taylor]: Taking taylor expansion of 1 in y 0.744 * [taylor]: Taking taylor expansion of 0 in y 0.746 * [taylor]: Taking taylor expansion of 0 in y 0.747 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.747 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.747 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.747 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.747 * [taylor]: Taking taylor expansion of 2 in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.747 * [taylor]: Taking taylor expansion of y in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.747 * [taylor]: Taking taylor expansion of x in y 0.747 * [taylor]: Taking taylor expansion of x in y 0.748 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.748 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.748 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.748 * [taylor]: Taking taylor expansion of 2 in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.748 * [taylor]: Taking taylor expansion of y in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.749 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.749 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.749 * [taylor]: Taking taylor expansion of 2 in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.749 * [taylor]: Taking taylor expansion of y in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of 1 in y 0.750 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.750 * [taylor]: Taking taylor expansion of 2 in y 0.750 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.756 * [taylor]: Taking taylor expansion of 0 in y 0.760 * [taylor]: Taking taylor expansion of 0 in y 0.760 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.760 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.760 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.760 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.760 * [taylor]: Taking taylor expansion of 2 in y 0.760 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.761 * [taylor]: Taking taylor expansion of x in y 0.761 * [taylor]: Taking taylor expansion of x in y 0.761 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.761 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.761 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.761 * [taylor]: Taking taylor expansion of 2 in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.761 * [taylor]: Taking taylor expansion of y in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.762 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.762 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.762 * [taylor]: Taking taylor expansion of 2 in x 0.762 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.762 * [taylor]: Taking taylor expansion of y in x 0.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of 1 in y 0.764 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.764 * [taylor]: Taking taylor expansion of 2 in y 0.764 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.764 * [taylor]: Taking taylor expansion of y in y 0.769 * [taylor]: Taking taylor expansion of 0 in y 0.772 * [taylor]: Taking taylor expansion of 0 in y 0.777 * [taylor]: Taking taylor expansion of 0 in y 0.777 * * * [progress]: simplifying candidates 0.778 * [simplify]: Simplifying using # : (* (* (exp x) (exp y)) (exp y)) (* (exp (+ x y)) (exp y)) (log (+ (+ x y) y)) (exp (+ (+ x y) y)) (* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y))) (cbrt (+ (+ x y) y)) (* (* (+ (+ x y) y) (+ (+ x y) y)) (+ (+ x y) y)) (sqrt (+ (+ x y) y)) (sqrt (+ (+ x y) y)) (+ (pow (+ x y) 3) (pow y 3)) (+ (* (+ x y) (+ x y)) (- (* y y) (* (+ x y) y))) (- (* (+ x y) (+ x y)) (* y y)) (- (+ x y) y) (+ (+ x y) y) (+ (+ x y) y) (+ y y) (* (exp (* x (+ (+ x y) y))) (exp (* y y))) (log (+ (* x (+ (+ x y) y)) (* y y))) (exp (+ (* x (+ (+ x y) y)) (* y y))) (* (cbrt (+ (* x (+ (+ x y) y)) (* y y))) (cbrt (+ (* x (+ (+ x y) y)) (* y y)))) (cbrt (+ (* x (+ (+ x y) y)) (* y y))) (* (* (+ (* x (+ (+ x y) y)) (* y y)) (+ (* x (+ (+ x y) y)) (* y y))) (+ (* x (+ (+ x y) y)) (* y y))) (sqrt (+ (* x (+ (+ x y) y)) (* y y))) (sqrt (+ (* x (+ (+ x y) y)) (* y y))) (+ (pow (* x (+ (+ x y) y)) 3) (pow (* y y) 3)) (+ (* (* x (+ (+ x y) y)) (* x (+ (+ x y) y))) (- (* (* y y) (* y y)) (* (* x (+ (+ x y) y)) (* y y)))) (- (* (* x (+ (+ x y) y)) (* x (+ (+ x y) y))) (* (* y y) (* y y))) (- (* x (+ (+ x y) y)) (* y y)) (+ (* x y) (* y y)) (+ (* y x) (* y y)) (* x (+ (+ x y) y)) (+ (log x) (log (+ (+ x y) y))) (log (* x (+ (+ x y) y))) (exp (* x (+ (+ x y) y))) (* (* (* x x) x) (* (* (+ (+ x y) y) (+ (+ x y) y)) (+ (+ x y) y))) (* (cbrt (* x (+ (+ x y) y))) (cbrt (* x (+ (+ x y) y)))) (cbrt (* x (+ (+ x y) y))) (* (* (* x (+ (+ x y) y)) (* x (+ (+ x y) y))) (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y))) (* (sqrt x) (sqrt (+ (+ x y) y))) (* (sqrt x) (sqrt (+ (+ x y) y))) (* x (+ x y)) (* x y) (* (+ x y) x) (* y x) (* x (* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y)))) (* x (sqrt (+ (+ x y) y))) (* x 1) (* x 1) (* x 1) (* (cbrt x) (+ (+ x y) y)) (* (sqrt x) (+ (+ x y) y)) (* x (+ (+ x y) y)) (* x (+ (pow (+ x y) 3) (pow y 3))) (* x (- (* (+ x y) (+ x y)) (* y y))) (+ x (* 2 y)) (+ x (* 2 y)) (+ x (* 2 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 x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) 0.782 * * [simplify]: iteration 0 : 252 enodes (cost 304 ) 0.788 * * [simplify]: iteration 1 : 1166 enodes (cost 264 ) 0.813 * * [simplify]: iteration 2 : 5001 enodes (cost 243 ) 0.815 * [simplify]: Simplified to: (exp (+ (+ x y) y)) (exp (+ (+ x y) y)) (log (+ (+ x y) y)) (exp (+ (+ x y) y)) (* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y))) (cbrt (+ (+ x y) y)) (pow (+ (+ x y) y) 3) (sqrt (+ (+ x y) y)) (sqrt (+ (+ x y) y)) (+ (pow (+ x y) 3) (pow y 3)) (+ (* x (+ x y)) (pow y 2)) (* x (+ (+ x y) y)) x (+ (+ x y) y) (+ (+ x y) y) (+ y y) (exp (* (+ x y) (+ x y))) (+ (log (+ x y)) (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (+ (* x (+ (+ x y) y)) (* y y))) (cbrt (+ (* x (+ (+ x y) y)) (* y y)))) (cbrt (+ (* x (+ (+ x y) y)) (* y y))) (pow (* (+ x y) (+ x y)) 3) (fabs (+ x y)) (fabs (+ x y)) (+ (pow (* x (+ (+ x y) y)) 3) (pow (* y y) 3)) (+ (* (pow y 2) (- (pow y 2) (* x (+ (+ x y) y)))) (* (* x (+ (+ x y) y)) (* x (+ (+ x y) y)))) (* (- (* x (+ (+ x y) y)) (* y y)) (* (+ x y) (+ x y))) (- (* x (+ (+ x y) y)) (* y y)) (* y (+ x y)) (* y (+ x y)) (* x (+ (+ x y) y)) (log (* x (+ (+ x y) y))) (log (* x (+ (+ x y) y))) (exp (* x (+ (+ x y) y))) (pow (* x (+ (+ x y) y)) 3) (* (cbrt (* x (+ (+ x y) y))) (cbrt (* x (+ (+ x y) y)))) (cbrt (* x (+ (+ x y) y))) (pow (* x (+ (+ x y) y)) 3) (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y))) (* (sqrt x) (sqrt (+ (+ x y) y))) (* (sqrt x) (sqrt (+ (+ x y) y))) (* x (+ x y)) (* x y) (* x (+ x y)) (* x y) (* x (* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y)))) (* x (sqrt (+ (+ x y) y))) x x x (* (cbrt x) (+ (+ x y) y)) (* (sqrt x) (+ (+ x y) y)) (* x (+ (+ x y) y)) (* x (+ (pow (+ x y) 3) (pow y 3))) (* (* x (+ (+ x y) y)) x) (+ (+ x y) y) (+ (+ x y) y) (+ (+ x y) y) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* x (+ (+ x y) y)) (* x (+ (+ x y) y)) (* x (+ (+ x y) y)) 0.815 * * * [progress]: adding candidates to table 0.881 * [progress]: [Phase 3 of 3] Extracting. 0.881 * * [regime]: Finding splitpoints for: (# # # #) 0.881 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (* (+ x y) (+ x y)) y x) 0.881 * * * * [regimes]: Trying to branch on (+ x y) from (# # # #) 0.895 * * * * [regimes]: Trying to branch on (* (+ x y) (+ x y)) from (# # # #) 0.911 * * * * [regimes]: Trying to branch on y from (# # # #) 0.924 * * * * [regimes]: Trying to branch on x from (# # # #) 0.938 * * * [regime]: Found split indices: #