22.369 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.020 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 53 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 80 enodes (cost 3 ) 0.026 * * [simplify]: iteration 4 : 98 enodes (cost 3 ) 0.027 * * [simplify]: iteration 5 : 107 enodes (cost 3 ) 0.029 * * [simplify]: iteration 6 : 113 enodes (cost 3 ) 0.031 * * [simplify]: iteration 7 : 113 enodes (cost 3 ) 0.032 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.046 * [taylor]: Taking taylor expansion of (+ x y) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.046 * [taylor]: Taking taylor expansion of (+ x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.046 * [taylor]: Taking taylor expansion of (+ x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.047 * [taylor]: Taking taylor expansion of 2 in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 1 in y 0.049 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of 1 in y 0.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.052 * [taylor]: Taking taylor expansion of 2 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y 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 0.055 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [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 0.057 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.057 * [taylor]: Taking taylor expansion of 2 in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [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 0.060 * * * [progress]: simplifying candidates 0.064 * [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)))) 0.068 * * [simplify]: iteration 0 : 189 enodes (cost 213 ) 0.072 * * [simplify]: iteration 1 : 901 enodes (cost 188 ) 0.097 * * [simplify]: iteration 2 : 5001 enodes (cost 170 ) 0.098 * [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)) 0.098 * * * [progress]: adding candidates to table 0.144 * * [progress]: iteration 2 / 4 0.144 * * * [progress]: picking best candidate 0.151 * * * * [pick]: Picked # 0.152 * * * [progress]: localizing error 0.158 * * * [progress]: generating rewritten candidates 0.158 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.164 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.170 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.178 * * * [progress]: generating series expansions 0.178 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.178 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.178 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [taylor]: Taking taylor expansion of (+ x y) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (+ x y) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (+ x y) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of 1 in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.183 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.184 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of 1 in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.194 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.194 * [taylor]: Taking taylor expansion of x in y 0.194 * [taylor]: Taking taylor expansion of x in y 0.195 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of 1 in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.205 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.205 * [taylor]: Taking taylor expansion of 2 in y 0.205 * [taylor]: Taking taylor expansion of (* x y) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.205 * [taylor]: Taking taylor expansion of 2 in x 0.205 * [taylor]: Taking taylor expansion of (* x y) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.206 * [taylor]: Taking taylor expansion of 2 in x 0.206 * [taylor]: Taking taylor expansion of (* x y) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.207 * [taylor]: Taking taylor expansion of 2 in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of 1 in y 0.210 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.211 * [taylor]: Taking taylor expansion of 2 in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.211 * [taylor]: Taking taylor expansion of (* x y) in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.212 * [taylor]: Taking taylor expansion of 2 in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.212 * [taylor]: Taking taylor expansion of (* x y) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.213 * [taylor]: Taking taylor expansion of 2 in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.213 * [taylor]: Taking taylor expansion of (* x y) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of 1 in y 0.215 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.215 * [taylor]: Taking taylor expansion of 2 in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.218 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.219 * [taylor]: Taking taylor expansion of 2 in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.219 * [taylor]: Taking taylor expansion of (* x y) in y 0.219 * [taylor]: Taking taylor expansion of x in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.220 * [taylor]: Taking taylor expansion of 2 in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (* x 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 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.221 * [taylor]: Taking taylor expansion of 2 in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.221 * [taylor]: Taking taylor expansion of (* x y) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of 1 in y 0.223 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.223 * [taylor]: Taking taylor expansion of 2 in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.226 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.226 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.226 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of (+ x y) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [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 (* y (+ x y)) in y 0.227 * [taylor]: Taking taylor expansion of y 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 0 in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of 1 in x 0.229 * [taylor]: Taking taylor expansion of 0 in x 0.231 * [taylor]: Taking taylor expansion of 0 in x 0.231 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.231 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of 1 in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of 0 in x 0.239 * [taylor]: Taking taylor expansion of 0 in x 0.246 * [taylor]: Taking taylor expansion of 0 in x 0.246 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.246 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.247 * [taylor]: Taking taylor expansion of x in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of 1 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of 0 in x 0.254 * [taylor]: Taking taylor expansion of 0 in x 0.257 * [taylor]: Taking taylor expansion of 0 in x 0.257 * * * [progress]: simplifying candidates 0.258 * [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)) 0.262 * * [simplify]: iteration 0 : 349 enodes (cost 386 ) 0.271 * * [simplify]: iteration 1 : 1961 enodes (cost 333 ) 0.313 * * [simplify]: iteration 2 : 5001 enodes (cost 331 ) 0.315 * [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)) 0.315 * * * [progress]: adding candidates to table 0.442 * * [progress]: iteration 3 / 4 0.442 * * * [progress]: picking best candidate 0.445 * * * * [pick]: Picked # 0.445 * * * [progress]: localizing error 0.452 * * * [progress]: generating rewritten candidates 0.452 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.463 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.470 * * * [progress]: generating series expansions 0.470 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.470 * [approximate]: Taking taylor expansion of (* x (+ x (* 2 y))) in (x y) around 0 0.470 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.470 * [taylor]: Taking taylor expansion of 2 in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.470 * [taylor]: Taking taylor expansion of 2 in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.471 * [taylor]: Taking taylor expansion of 2 in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.472 * [taylor]: Taking taylor expansion of 2 in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of 1 in y 0.476 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.479 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.479 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.479 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.479 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.479 * [taylor]: Taking taylor expansion of 2 in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.480 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.480 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.480 * [taylor]: Taking taylor expansion of 2 in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.481 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.481 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.481 * [taylor]: Taking taylor expansion of 2 in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of 1 in y 0.482 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.482 * [taylor]: Taking taylor expansion of 2 in y 0.483 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.493 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.493 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.493 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.493 * [taylor]: Taking taylor expansion of 2 in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.493 * [taylor]: Taking taylor expansion of x in y 0.493 * [taylor]: Taking taylor expansion of x in y 0.494 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.494 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.494 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.494 * [taylor]: Taking taylor expansion of 2 in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.494 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.494 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.495 * [taylor]: Taking taylor expansion of 2 in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of 1 in y 0.496 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.496 * [taylor]: Taking taylor expansion of 2 in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.507 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.507 * [approximate]: Taking taylor expansion of (+ x (* 2 y)) in (x y) around 0 0.507 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.507 * [taylor]: Taking taylor expansion of x in y 0.507 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.507 * [taylor]: Taking taylor expansion of 2 in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.507 * [taylor]: Taking taylor expansion of 2 in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.507 * [taylor]: Taking taylor expansion of 2 in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.507 * [taylor]: Taking taylor expansion of 2 in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of 1 in y 0.509 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in (x y) around 0 0.511 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.511 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.511 * [taylor]: Taking taylor expansion of 2 in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.511 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.511 * [taylor]: Taking taylor expansion of 2 in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.511 * [taylor]: Taking taylor expansion of y in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.512 * [taylor]: Taking taylor expansion of 2 in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of 1 in y 0.513 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.513 * [taylor]: Taking taylor expansion of 2 in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.517 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [taylor]: Taking taylor expansion of 0 in y 0.520 * [approximate]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in (x y) around 0 0.520 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in y 0.520 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.520 * [taylor]: Taking taylor expansion of 2 in y 0.520 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.520 * [taylor]: Taking taylor expansion of x in y 0.520 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in x 0.520 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.520 * [taylor]: Taking taylor expansion of 2 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 (- (+ (* 2 (/ 1 y)) (/ 1 x))) in x 0.520 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.520 * [taylor]: Taking taylor expansion of 2 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 0.521 * [taylor]: Taking taylor expansion of -1 in y 0.522 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.522 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.522 * [taylor]: Taking taylor expansion of 2 in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.530 * * * [progress]: simplifying candidates 0.530 * [simplify]: Simplifying using # : (* 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))) (* (* (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) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ x (* 2 y)) (+ x (* 2 y)) (+ x (* 2 y)) 0.534 * * [simplify]: iteration 0 : 172 enodes (cost 185 ) 0.538 * * [simplify]: iteration 1 : 764 enodes (cost 160 ) 0.555 * * [simplify]: iteration 2 : 4336 enodes (cost 154 ) 0.648 * * [simplify]: iteration 3 : 5001 enodes (cost 154 ) 0.649 * [simplify]: Simplified to: (* 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 y) y)) (pow x 1/2)) (* (sqrt (+ (+ x y) y)) (pow x 1/2)) (* 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) (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)) (+ (* y y) (* x (+ x y))) (* x (+ (+ x y) y)) x (+ (+ x y) y) (+ (+ x y) y) (+ y y) (* x (+ (+ x y) y)) (* x (+ (+ x y) y)) (* x (+ (+ x y) y)) (+ (+ x y) y) (+ (+ x y) y) (+ (+ x y) y) 0.650 * * * [progress]: adding candidates to table 0.722 * * [progress]: iteration 4 / 4 0.722 * * * [progress]: picking best candidate 0.723 * * * * [pick]: Picked # 0.723 * * * [progress]: localizing error 0.734 * * * [progress]: generating rewritten candidates 0.734 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.740 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.746 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.763 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.775 * * * [progress]: generating series expansions 0.775 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.775 * [approximate]: Taking taylor expansion of (sqrt (* x (+ x (* 2 y)))) in (x y) around 0 0.775 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x (* 2 y)))) in y 0.775 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 0.775 * [taylor]: Taking taylor expansion of x in y 0.775 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.775 * [taylor]: Taking taylor expansion of x in y 0.775 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.775 * [taylor]: Taking taylor expansion of 2 in y 0.775 * [taylor]: Taking taylor expansion of y in y 0.777 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x (* 2 y)))) in x 0.777 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.777 * [taylor]: Taking taylor expansion of 2 in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.778 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x (* 2 y)))) in x 0.778 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.778 * [taylor]: Taking taylor expansion of 2 in x 0.778 * [taylor]: Taking taylor expansion of y in x 0.780 * [taylor]: Taking taylor expansion of 0 in y 0.780 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 0.780 * [taylor]: Taking taylor expansion of +nan.0 in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.786 * [taylor]: Taking taylor expansion of (* +nan.0 (- 1 (* +nan.0 (pow y 2)))) in y 0.786 * [taylor]: Taking taylor expansion of +nan.0 in y 0.786 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (pow y 2))) in y 0.786 * [taylor]: Taking taylor expansion of 1 in y 0.786 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 2)) in y 0.786 * [taylor]: Taking taylor expansion of +nan.0 in y 0.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.790 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (pow y 3)) (- (* +nan.0 y)))) in y 0.790 * [taylor]: Taking taylor expansion of +nan.0 in y 0.790 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow y 3)) (- (* +nan.0 y))) in y 0.790 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 3)) in y 0.790 * [taylor]: Taking taylor expansion of +nan.0 in y 0.790 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.790 * [taylor]: Taking taylor expansion of y in y 0.790 * [taylor]: Taking taylor expansion of (- (* +nan.0 y)) in y 0.790 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 0.790 * [taylor]: Taking taylor expansion of +nan.0 in y 0.790 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow y 4)) (- +nan.0))))) in y 0.795 * [taylor]: Taking taylor expansion of +nan.0 in y 0.795 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow y 4)) (- +nan.0)))) in y 0.795 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 2)) in y 0.795 * [taylor]: Taking taylor expansion of +nan.0 in y 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow y 4)) (- +nan.0))) in y 0.795 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow y 4)) (- +nan.0)) in y 0.795 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 4)) in y 0.795 * [taylor]: Taking taylor expansion of +nan.0 in y 0.795 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.795 * [taylor]: Taking taylor expansion of +nan.0 in y 0.798 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x)) in (x y) around 0 0.798 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x)) in y 0.798 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.798 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.798 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.798 * [taylor]: Taking taylor expansion of 2 in y 0.798 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.798 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.798 * [taylor]: Taking taylor expansion of x in y 0.798 * [taylor]: Taking taylor expansion of x in y 0.800 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.800 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.800 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.800 * [taylor]: Taking taylor expansion of 2 in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.800 * [taylor]: Taking taylor expansion of y in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x)) in x 0.802 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.802 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.802 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.802 * [taylor]: Taking taylor expansion of 2 in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.802 * [taylor]: Taking taylor expansion of y in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of 1 in y 0.805 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.807 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of -1/2 in y 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.812 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 3)) in y 0.812 * [taylor]: Taking taylor expansion of 1/2 in y 0.812 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.817 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x)) in (x y) around 0 0.817 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x)) in y 0.817 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.817 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.817 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.817 * [taylor]: Taking taylor expansion of 2 in y 0.817 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.818 * [taylor]: Taking taylor expansion of x in y 0.818 * [taylor]: Taking taylor expansion of x in y 0.819 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x)) in x 0.819 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.819 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.819 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.819 * [taylor]: Taking taylor expansion of 2 in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x)) in x 0.821 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.821 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.821 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.821 * [taylor]: Taking taylor expansion of 2 in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.821 * [taylor]: Taking taylor expansion of y in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of 1 in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 2)) in y 0.827 * [taylor]: Taking taylor expansion of -1/2 in y 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 3)) in y 0.831 * [taylor]: Taking taylor expansion of 1/2 in y 0.831 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.836 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.836 * [approximate]: Taking taylor expansion of (sqrt (* x (+ x (* 2 y)))) in (x y) around 0 0.836 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x (* 2 y)))) in y 0.836 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 0.836 * [taylor]: Taking taylor expansion of x in y 0.836 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.836 * [taylor]: Taking taylor expansion of x in y 0.836 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.836 * [taylor]: Taking taylor expansion of 2 in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x (* 2 y)))) in x 0.838 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.838 * [taylor]: Taking taylor expansion of 2 in x 0.838 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x (* 2 y)))) in x 0.839 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.839 * [taylor]: Taking taylor expansion of 2 in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.841 * [taylor]: Taking taylor expansion of 0 in y 0.841 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 0.841 * [taylor]: Taking taylor expansion of +nan.0 in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (* +nan.0 (- 1 (* +nan.0 (pow y 2)))) in y 0.843 * [taylor]: Taking taylor expansion of +nan.0 in y 0.843 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (pow y 2))) in y 0.843 * [taylor]: Taking taylor expansion of 1 in y 0.843 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 2)) in y 0.843 * [taylor]: Taking taylor expansion of +nan.0 in y 0.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (pow y 3)) (- (* +nan.0 y)))) in y 0.847 * [taylor]: Taking taylor expansion of +nan.0 in y 0.847 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow y 3)) (- (* +nan.0 y))) in y 0.847 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 3)) in y 0.847 * [taylor]: Taking taylor expansion of +nan.0 in y 0.847 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of (- (* +nan.0 y)) in y 0.847 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 0.847 * [taylor]: Taking taylor expansion of +nan.0 in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow y 4)) (- +nan.0))))) in y 0.852 * [taylor]: Taking taylor expansion of +nan.0 in y 0.852 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow y 4)) (- +nan.0)))) in y 0.852 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 2)) in y 0.852 * [taylor]: Taking taylor expansion of +nan.0 in y 0.852 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow y 4)) (- +nan.0))) in y 0.852 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow y 4)) (- +nan.0)) in y 0.852 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 4)) in y 0.852 * [taylor]: Taking taylor expansion of +nan.0 in y 0.852 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.852 * [taylor]: Taking taylor expansion of +nan.0 in y 0.855 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x)) in (x y) around 0 0.855 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x)) in y 0.855 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.855 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.855 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.855 * [taylor]: Taking taylor expansion of 2 in y 0.855 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.855 * [taylor]: Taking taylor expansion of y in y 0.856 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.856 * [taylor]: Taking taylor expansion of x in y 0.856 * [taylor]: Taking taylor expansion of x in y 0.857 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x)) in x 0.857 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.857 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.857 * [taylor]: Taking taylor expansion of 2 in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x)) in x 0.859 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.859 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.859 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.859 * [taylor]: Taking taylor expansion of 2 in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of 1 in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.862 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 2)) in y 0.864 * [taylor]: Taking taylor expansion of -1/2 in y 0.865 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.865 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 3)) in y 0.875 * [taylor]: Taking taylor expansion of 1/2 in y 0.875 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.880 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x)) in (x y) around 0 0.880 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x)) in y 0.880 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.880 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.880 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.880 * [taylor]: Taking taylor expansion of 2 in y 0.880 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.880 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.880 * [taylor]: Taking taylor expansion of x in y 0.880 * [taylor]: Taking taylor expansion of x in y 0.881 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x)) in x 0.881 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.881 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.881 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.881 * [taylor]: Taking taylor expansion of 2 in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.881 * [taylor]: Taking taylor expansion of y in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x)) in x 0.884 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.884 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.884 * [taylor]: Taking taylor expansion of 2 in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.884 * [taylor]: Taking taylor expansion of y in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of 1 in y 0.886 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.889 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 2)) in y 0.889 * [taylor]: Taking taylor expansion of -1/2 in y 0.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 3)) in y 0.894 * [taylor]: Taking taylor expansion of 1/2 in y 0.894 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.899 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.899 * [approximate]: Taking taylor expansion of (* x (+ x (* 2 y))) in (x y) around 0 0.899 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 0.899 * [taylor]: Taking taylor expansion of x in y 0.899 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.899 * [taylor]: Taking taylor expansion of x in y 0.899 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.899 * [taylor]: Taking taylor expansion of 2 in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.899 * [taylor]: Taking taylor expansion of 2 in x 0.899 * [taylor]: Taking taylor expansion of y in x 0.899 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.900 * [taylor]: Taking taylor expansion of 2 in x 0.900 * [taylor]: Taking taylor expansion of y in x 0.900 * [taylor]: Taking taylor expansion of 0 in y 0.901 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.901 * [taylor]: Taking taylor expansion of 2 in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of 1 in y 0.904 * [taylor]: Taking taylor expansion of 0 in y 0.907 * [taylor]: Taking taylor expansion of 0 in y 0.907 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.907 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.907 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.907 * [taylor]: Taking taylor expansion of 2 in y 0.907 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.908 * [taylor]: Taking taylor expansion of x in y 0.908 * [taylor]: Taking taylor expansion of x in y 0.908 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.908 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.908 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.908 * [taylor]: Taking taylor expansion of 2 in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.909 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.909 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.909 * [taylor]: Taking taylor expansion of 2 in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of 1 in y 0.911 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.911 * [taylor]: Taking taylor expansion of 2 in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.922 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.922 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.922 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.922 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.922 * [taylor]: Taking taylor expansion of 2 in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.922 * [taylor]: Taking taylor expansion of x in y 0.922 * [taylor]: Taking taylor expansion of x in y 0.923 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.923 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.923 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.923 * [taylor]: Taking taylor expansion of 2 in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.924 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.924 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.924 * [taylor]: Taking taylor expansion of 2 in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of 1 in y 0.925 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.926 * [taylor]: Taking taylor expansion of 2 in y 0.926 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.926 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of 0 in y 0.931 * [taylor]: Taking taylor expansion of 0 in y 0.935 * [taylor]: Taking taylor expansion of 0 in y 0.935 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.936 * [approximate]: Taking taylor expansion of (* x (+ x (* 2 y))) in (x y) around 0 0.936 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.936 * [taylor]: Taking taylor expansion of 2 in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.936 * [taylor]: Taking taylor expansion of 2 in x 0.936 * [taylor]: Taking taylor expansion of y in x 0.936 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.936 * [taylor]: Taking taylor expansion of 2 in x 0.936 * [taylor]: Taking taylor expansion of y in x 0.936 * [taylor]: Taking taylor expansion of 0 in y 0.937 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.937 * [taylor]: Taking taylor expansion of 2 in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of 1 in y 0.940 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.943 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.944 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.944 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.944 * [taylor]: Taking taylor expansion of 2 in y 0.944 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.944 * [taylor]: Taking taylor expansion of x in y 0.944 * [taylor]: Taking taylor expansion of x in y 0.944 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.944 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.944 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.944 * [taylor]: Taking taylor expansion of 2 in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.945 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.945 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.945 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.945 * [taylor]: Taking taylor expansion of 2 in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.945 * [taylor]: Taking taylor expansion of y in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of 1 in y 0.947 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.947 * [taylor]: Taking taylor expansion of 2 in y 0.947 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.950 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [taylor]: Taking taylor expansion of 0 in y 0.962 * [taylor]: Taking taylor expansion of 0 in y 0.962 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.962 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.962 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.962 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.962 * [taylor]: Taking taylor expansion of 2 in y 0.963 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.963 * [taylor]: Taking taylor expansion of y in y 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.963 * [taylor]: Taking taylor expansion of x in y 0.963 * [taylor]: Taking taylor expansion of x in y 0.963 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.963 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.963 * [taylor]: Taking taylor expansion of 2 in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.964 * [taylor]: Taking taylor expansion of y in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.964 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.964 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.964 * [taylor]: Taking taylor expansion of 2 in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.964 * [taylor]: Taking taylor expansion of y in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of 1 in y 0.966 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.966 * [taylor]: Taking taylor expansion of 2 in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of 0 in y 0.972 * [taylor]: Taking taylor expansion of 0 in y 0.976 * [taylor]: Taking taylor expansion of 0 in y 0.976 * * * [progress]: simplifying candidates 0.978 * [simplify]: Simplifying using # : (log (sqrt (* x (+ (+ x y) y)))) (exp (sqrt (* x (+ (+ x y) y)))) (* (cbrt (sqrt (* x (+ (+ x y) y)))) (cbrt (sqrt (* x (+ (+ x y) y))))) (cbrt (sqrt (* x (+ (+ x y) y)))) (* (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y)))) (sqrt (* x (+ (+ x y) y)))) (sqrt x) (sqrt (+ (+ x y) y)) (sqrt (* x (+ (pow (+ x y) 3) (pow y 3)))) (sqrt (+ (* (+ x y) (+ x y)) (- (* y y) (* (+ x y) y)))) (sqrt (* x (- (* (+ x y) (+ x y)) (* y y)))) (sqrt (- (+ x y) y)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* x (+ (+ x y) y)))) (sqrt (sqrt (* x (+ (+ x y) y)))) (log (sqrt (* x (+ (+ x y) y)))) (exp (sqrt (* x (+ (+ x y) y)))) (* (cbrt (sqrt (* x (+ (+ x y) y)))) (cbrt (sqrt (* x (+ (+ x y) y))))) (cbrt (sqrt (* x (+ (+ x y) y)))) (* (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y)))) (sqrt (* x (+ (+ x y) y)))) (sqrt x) (sqrt (+ (+ x y) y)) (sqrt (* x (+ (pow (+ x y) 3) (pow y 3)))) (sqrt (+ (* (+ x y) (+ x y)) (- (* y y) (* (+ x y) y)))) (sqrt (* x (- (* (+ x y) (+ x y)) (* y y)))) (sqrt (- (+ x y) y)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* x (+ (+ x y) y)))) (sqrt (sqrt (* x (+ (+ x y) y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (* (* x (+ (+ x y) y)) (* x (+ (+ x y) y))) (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y)))) (* (* x (+ (+ x y) y)) (* x (+ (+ x y) y))) (* (* x (+ (+ x y) y)) (* x (+ (+ x y) y))) (* (* x (+ (+ x y) y)) (* x (+ (+ x y) y))) (* (* x (+ (+ x y) y)) (* x (+ (+ x y) y))) (+ 1 1) (+ (log (sqrt (* x (+ (+ x y) y)))) (log (sqrt (* x (+ (+ x y) y))))) (log (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y))))) (exp (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y))))) (* (* (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y)))) (sqrt (* x (+ (+ x y) y)))) (* (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y)))) (sqrt (* x (+ (+ x y) y))))) (* (cbrt (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y))))) (cbrt (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y)))))) (cbrt (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y))))) (* (* (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y)))) (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y))))) (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y))))) (* (* x (+ (+ x y) y)) (* x (+ (+ x y) y))) (sqrt (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y))))) (sqrt (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y))))) (* (sqrt (* x (+ (pow (+ x y) 3) (pow y 3)))) (sqrt (* x (+ (pow (+ x y) 3) (pow y 3))))) (* (sqrt (+ (* (+ x y) (+ x y)) (- (* y y) (* (+ x y) y)))) (sqrt (+ (* (+ x y) (+ x y)) (- (* y y) (* (+ x y) y))))) (* (sqrt (* x (+ (pow (+ x y) 3) (pow y 3)))) (sqrt (* x (- (* (+ x y) (+ x y)) (* y y))))) (* (sqrt (+ (* (+ x y) (+ x y)) (- (* y y) (* (+ x y) y)))) (sqrt (- (+ x y) y))) (* (sqrt (* x (- (* (+ x y) (+ x y)) (* y y)))) (sqrt (* x (+ (pow (+ x y) 3) (pow y 3))))) (* (sqrt (- (+ x y) y)) (sqrt (+ (* (+ x y) (+ x y)) (- (* y y) (* (+ x y) y))))) (* (sqrt (* x (- (* (+ x y) (+ x y)) (* y y)))) (sqrt (* x (- (* (+ x y) (+ x y)) (* y y))))) (* (sqrt (- (+ x y) y)) (sqrt (- (+ x y) y))) (* (* (cbrt (sqrt (* x (+ (+ x y) y)))) (cbrt (sqrt (* x (+ (+ x y) y))))) (* (cbrt (sqrt (* x (+ (+ x y) y)))) (cbrt (sqrt (* x (+ (+ x y) y)))))) (* (cbrt (sqrt (* x (+ (+ x y) y)))) (cbrt (sqrt (* x (+ (+ x y) y))))) (* (sqrt x) (sqrt x)) (* (sqrt (+ (+ x y) y)) (sqrt (+ (+ x y) y))) (* (sqrt (sqrt (* x (+ (+ x y) y)))) (sqrt (sqrt (* x (+ (+ x y) y))))) (* (sqrt (sqrt (* x (+ (+ x y) y)))) (sqrt (sqrt (* x (+ (+ x y) y))))) (* 1 1) (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y)))) (* (sqrt (sqrt (* x (+ (+ x y) y)))) (sqrt (sqrt (* x (+ (+ x y) y))))) (* (sqrt (sqrt (* x (+ (+ x y) y)))) (sqrt (sqrt (* x (+ (+ x y) y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* (sqrt (* x (+ (+ x y) y))) (* (cbrt (sqrt (* x (+ (+ x y) y)))) (cbrt (sqrt (* x (+ (+ x y) y)))))) (* (sqrt (* x (+ (+ x y) y))) (sqrt x)) (* (sqrt (* x (+ (+ x y) y))) (sqrt (sqrt (* x (+ (+ x y) y))))) (* (sqrt (* x (+ (+ x y) y))) 1) (* (cbrt (sqrt (* x (+ (+ x y) y)))) (sqrt (* x (+ (+ x y) y)))) (* (sqrt (+ (+ x y) y)) (sqrt (* x (+ (+ x y) y)))) (* (sqrt (sqrt (* x (+ (+ x y) y)))) (sqrt (* x (+ (+ x y) y)))) (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y)))) (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (pow (+ x y) 3) (pow y 3))))) (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (- (* (+ x y) (+ x y)) (* y y))))) (* (sqrt (* x (+ (pow (+ x y) 3) (pow y 3)))) (sqrt (* x (+ (+ x y) y)))) (* (sqrt (* x (- (* (+ x y) (+ x y)) (* y y)))) (sqrt (* x (+ (+ 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))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 4)) (- (* +nan.0 (* x y))))))) (+ x y) (- (+ x y)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 4)) (- (* +nan.0 (* x y))))))) (+ x y) (- (+ x y)) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) 0.984 * * [simplify]: iteration 0 : 276 enodes (cost 648 ) 0.991 * * [simplify]: iteration 1 : 1389 enodes (cost 580 ) 1.030 * * [simplify]: iteration 2 : 5001 enodes (cost 551 ) 1.033 * [simplify]: Simplified to: (log (sqrt (* x (+ (+ x y) y)))) (exp (sqrt (* x (+ (+ x y) y)))) (* (cbrt (sqrt (* x (+ (+ x y) y)))) (cbrt (sqrt (* x (+ (+ x y) y))))) (cbrt (sqrt 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(sqrt (* x (+ (+ x y) y))) 1 2 1 1 1 1 (* (sqrt (* x (+ (+ x y) y))) (* (cbrt (sqrt (* x (+ (+ x y) y)))) (cbrt (sqrt (* x (+ (+ x y) y)))))) (* (sqrt (* x (+ (+ x y) y))) (sqrt x)) (pow (sqrt (sqrt (* x (+ (+ x y) y)))) 3) (sqrt (* x (+ (+ x y) y))) (pow (cbrt (sqrt (* x (+ (+ x y) y)))) 4) (* (sqrt (+ (+ x y) y)) (sqrt (* x (+ (+ x y) y)))) (pow (sqrt (sqrt (* x (+ (+ x y) y)))) 3) (* x (+ (+ x y) y)) (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (pow (+ x y) 3) (pow y 3))))) (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (- (* (+ x y) (+ x y)) (* y y))))) (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (pow (+ x y) 3) (pow y 3))))) (* (sqrt (* x (+ (+ x y) y))) (sqrt (* x (- (* (+ x y) (+ x y)) (* y 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) (+ (* +nan.0 (- (pow x 4) (* x y))) (- (* +nan.0 (pow x 2)))) (+ x y) (- (+ x y)) (+ (* +nan.0 (- (pow x 4) (* x y))) (- (* +nan.0 (pow x 2)))) (+ x y) (- (+ x y)) (* x (+ (+ x y) y)) (* x (+ (+ x y) y)) (* x (+ (+ x y) y)) (* x (+ (+ x y) y)) (* x (+ (+ x y) y)) (* x (+ (+ x y) y)) 1.034 * * * [progress]: adding candidates to table 1.257 * [progress]: [Phase 3 of 3] Extracting. 1.257 * * [regime]: Finding splitpoints for: (# # #) 1.257 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.257 * * * * [regimes]: Trying to branch on y from (# # #) 1.271 * * * * [regimes]: Trying to branch on x from (# # #) 1.287 * * * [regime]: Found split indices: #