46.104 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.023 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 53 enodes (cost 3 ) 0.027 * * [simplify]: iteration 3 : 80 enodes (cost 3 ) 0.029 * * [simplify]: iteration 4 : 98 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 107 enodes (cost 3 ) 0.033 * * [simplify]: iteration 6 : 113 enodes (cost 3 ) 0.035 * * [simplify]: iteration 7 : 113 enodes (cost 3 ) 0.035 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.048 * * * [progress]: generating series expansions 0.049 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.049 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.049 * [taylor]: Taking taylor expansion of (+ x y) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.049 * [taylor]: Taking taylor expansion of (+ x y) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.049 * [taylor]: Taking taylor expansion of (+ x y) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.050 * [taylor]: Taking taylor expansion of 2 in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 1 in y 0.051 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of 1 in y 0.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.054 * [taylor]: Taking taylor expansion of 2 in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.057 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 1 in y 0.060 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.060 * [taylor]: Taking taylor expansion of 2 in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.063 * * * [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 ) 0.073 * * [simplify]: iteration 1 : 901 enodes (cost 188 ) 0.098 * * [simplify]: iteration 2 : 5001 enodes (cost 170 ) 0.099 * [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)) 0.100 * * * [progress]: adding candidates to table 0.140 * * [progress]: iteration 2 / 4 0.140 * * * [progress]: picking best candidate 0.146 * * * * [pick]: Picked # 0.146 * * * [progress]: localizing error 0.151 * * * [progress]: generating rewritten candidates 0.152 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.158 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.164 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.171 * * * [progress]: generating series expansions 0.171 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.171 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.171 * [taylor]: Taking taylor expansion of 2 in y 0.171 * [taylor]: Taking taylor expansion of (* x y) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.172 * [taylor]: Taking taylor expansion of 2 in x 0.172 * [taylor]: Taking taylor expansion of (* x y) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.172 * [taylor]: Taking taylor expansion of 2 in x 0.172 * [taylor]: Taking taylor expansion of (* x y) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.173 * [taylor]: Taking taylor expansion of 2 in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of 1 in y 0.177 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.177 * [taylor]: Taking taylor expansion of 2 in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.177 * [taylor]: Taking taylor expansion of (* x y) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.179 * [taylor]: Taking taylor expansion of 2 in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.180 * [taylor]: Taking taylor expansion of 2 in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.180 * [taylor]: Taking taylor expansion of (* x y) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of 1 in y 0.181 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.181 * [taylor]: Taking taylor expansion of 2 in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.185 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.186 * [taylor]: Taking taylor expansion of 2 in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.186 * [taylor]: Taking taylor expansion of (* x y) in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.187 * [taylor]: Taking taylor expansion of 2 in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.187 * [taylor]: Taking taylor expansion of (* x y) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.188 * [taylor]: Taking taylor expansion of 2 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.188 * [taylor]: Taking taylor expansion of (* x y) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of 1 in y 0.190 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.190 * [taylor]: Taking taylor expansion of 2 in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.193 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.193 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.193 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [taylor]: Taking taylor expansion of (+ x y) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (+ x y) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (+ x y) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of 1 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.198 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of 1 in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [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 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of x in x 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 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of 1 in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.223 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.223 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.223 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of (+ x y) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (+ x y) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (+ x y) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of 0 in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of 1 in x 0.226 * [taylor]: Taking taylor expansion of 0 in x 0.227 * [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 0.228 * [taylor]: Taking taylor expansion of y in x 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 y) (/ 1 x)) y) in y 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.229 * [taylor]: Taking taylor expansion of x in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of 1 in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of 0 in x 0.235 * [taylor]: Taking taylor expansion of 0 in x 0.238 * [taylor]: Taking taylor expansion of 0 in x 0.238 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.238 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of y in x 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 y) (/ 1 x)) y) in y 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of 1 in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of 0 in x 0.246 * [taylor]: Taking taylor expansion of 0 in x 0.249 * [taylor]: Taking taylor expansion of 0 in x 0.249 * * * [progress]: simplifying candidates 0.250 * [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)) 0.256 * * [simplify]: iteration 0 : 349 enodes (cost 386 ) 0.265 * * [simplify]: iteration 1 : 1961 enodes (cost 333 ) 0.308 * * [simplify]: iteration 2 : 5003 enodes (cost 331 ) 0.310 * [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)) 0.310 * * * [progress]: adding candidates to table 0.405 * * [progress]: iteration 3 / 4 0.405 * * * [progress]: picking best candidate 0.408 * * * * [pick]: Picked # 0.408 * * * [progress]: localizing error 0.414 * * * [progress]: generating rewritten candidates 0.414 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.419 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.427 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.432 * * * [progress]: generating series expansions 0.432 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.432 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.432 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.432 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.432 * [taylor]: Taking taylor expansion of 2 in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.432 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.432 * [taylor]: Taking taylor expansion of 2 in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.432 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.432 * [taylor]: Taking taylor expansion of 2 in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of 2 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.435 * [taylor]: Taking taylor expansion of 2 in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.436 * [taylor]: Taking taylor expansion of x in y 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.436 * [taylor]: Taking taylor expansion of 2 in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.436 * [taylor]: Taking taylor expansion of 2 in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of 2 in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.443 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.443 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.443 * [taylor]: Taking taylor expansion of y in y 0.444 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.444 * [taylor]: Taking taylor expansion of 2 in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.444 * [taylor]: Taking taylor expansion of x in y 0.444 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.444 * [taylor]: Taking taylor expansion of 2 in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.444 * [taylor]: Taking taylor expansion of 2 in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of -2 in y 0.446 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.454 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.454 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 0.454 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 0.454 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.454 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.454 * [taylor]: Taking taylor expansion of 2 in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 0.454 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.454 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.454 * [taylor]: Taking taylor expansion of 2 in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 0.454 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.454 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.454 * [taylor]: Taking taylor expansion of 2 in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of 0 in x 0.455 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.455 * [taylor]: Taking taylor expansion of 2 in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of 1 in x 0.459 * [taylor]: Taking taylor expansion of 0 in x 0.461 * [taylor]: Taking taylor expansion of 0 in x 0.461 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 0.461 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.461 * [taylor]: Taking taylor expansion of y in x 0.461 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.461 * [taylor]: Taking taylor expansion of 2 in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.463 * [taylor]: Taking taylor expansion of 2 in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.463 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.464 * [taylor]: Taking taylor expansion of 2 in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of 1 in x 0.465 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.465 * [taylor]: Taking taylor expansion of 2 in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of 0 in x 0.471 * [taylor]: Taking taylor expansion of 0 in x 0.475 * [taylor]: Taking taylor expansion of 0 in x 0.476 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 0.476 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.476 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of 2 in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.477 * [taylor]: Taking taylor expansion of 2 in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.478 * [taylor]: Taking taylor expansion of 2 in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of 1 in x 0.480 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of 2 in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of 0 in x 0.486 * [taylor]: Taking taylor expansion of 0 in x 0.492 * [taylor]: Taking taylor expansion of 0 in x 0.493 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.493 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.493 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.493 * [taylor]: Taking taylor expansion of x in y 0.493 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.493 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.493 * [taylor]: Taking taylor expansion of 2 in y 0.493 * [taylor]: Taking taylor expansion of (* x y) in y 0.493 * [taylor]: Taking taylor expansion of x in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.493 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.493 * [taylor]: Taking taylor expansion of 2 in x 0.493 * [taylor]: Taking taylor expansion of (* x y) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.493 * [taylor]: Taking taylor expansion of 2 in x 0.493 * [taylor]: Taking taylor expansion of (* x y) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.495 * [taylor]: Taking taylor expansion of 2 in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of 1 in y 0.498 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.498 * [taylor]: Taking taylor expansion of x in y 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.499 * [taylor]: Taking taylor expansion of 2 in y 0.499 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.499 * [taylor]: Taking taylor expansion of (* x y) in y 0.499 * [taylor]: Taking taylor expansion of x in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.500 * [taylor]: Taking taylor expansion of 2 in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.500 * [taylor]: Taking taylor expansion of (* x y) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 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 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.501 * [taylor]: Taking taylor expansion of 2 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 0.502 * [taylor]: Taking taylor expansion of 1 in y 0.503 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.503 * [taylor]: Taking taylor expansion of 2 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 (/ 1 (pow y 2)) in y 0.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.506 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.507 * [taylor]: Taking taylor expansion of 2 in y 0.507 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.507 * [taylor]: Taking taylor expansion of (* x y) in y 0.507 * [taylor]: Taking taylor expansion of x in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.508 * [taylor]: Taking taylor expansion of 2 in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.508 * [taylor]: Taking taylor expansion of (* x y) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.509 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.509 * [taylor]: Taking taylor expansion of 2 in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.509 * [taylor]: Taking taylor expansion of (* x y) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.510 * [taylor]: Taking taylor expansion of 1 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 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.514 * * * [progress]: simplifying candidates 0.515 * [simplify]: Simplifying using # : (* (exp x) (* (exp x) (exp y))) (* (exp x) (exp (+ x y))) (log (+ x (+ x y))) (exp (+ x (+ x y))) (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y)))) (cbrt (+ x (+ x y))) (* (* (+ x (+ x y)) (+ x (+ x y))) (+ x (+ x y))) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (+ (pow x 3) (pow (+ x y) 3)) (+ (* x x) (- (* (+ x y) (+ x y)) (* x (+ x y)))) (- (* x x) (* (+ x y) (+ x y))) (- x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (+ x x) (* y (+ x (+ x y))) (+ (log y) (log (+ x (+ x y)))) (log (* y (+ x (+ x y)))) (exp (* y (+ x (+ x y)))) (* (* (* y y) y) (* (* (+ x (+ x y)) (+ x (+ x y))) (+ x (+ x y)))) (* (cbrt (* y (+ x (+ x y)))) (cbrt (* y (+ x (+ x y))))) (cbrt (* y (+ x (+ x y)))) (* (* (* y (+ x (+ x y))) (* y (+ x (+ x y)))) (* y (+ x (+ x y)))) (sqrt (* y (+ x (+ x y)))) (sqrt (* y (+ x (+ x y)))) (* (sqrt y) (sqrt (+ x (+ x y)))) (* (sqrt y) (sqrt (+ x (+ x y)))) (* y x) (* y (+ x y)) (* x y) (* (+ x y) y) (* y (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))) (* y (sqrt (+ x (+ x y)))) (* y 1) (* y 1) (* y 1) (* (cbrt y) (+ x (+ x y))) (* (sqrt y) (+ x (+ x y))) (* y (+ x (+ x y))) (* y (+ (pow x 3) (pow (+ x y) 3))) (* y (- (* x x) (* (+ x y) (+ x y)))) (* (exp (* x x)) (exp (* y (+ x (+ x y))))) (log (+ (* x x) (* y (+ x (+ x y))))) (exp (+ (* x x) (* y (+ x (+ x y))))) (* (cbrt (+ (* x x) (* y (+ x (+ x y))))) (cbrt (+ (* x x) (* y (+ x (+ x y)))))) (cbrt (+ (* x x) (* y (+ x (+ x y))))) (* (* (+ (* x x) (* y (+ x (+ x y)))) (+ (* x x) (* y (+ x (+ x y))))) (+ (* x x) (* y (+ x (+ x y))))) (sqrt (+ (* x x) (* y (+ x (+ x y))))) (sqrt (+ (* x x) (* y (+ x (+ x y))))) (+ (pow (* x x) 3) (pow (* y (+ x (+ x y))) 3)) (+ (* (* x x) (* x x)) (- (* (* y (+ x (+ x y))) (* y (+ x (+ x y)))) (* (* x x) (* y (+ x (+ x y)))))) (- (* (* x x) (* x x)) (* (* y (+ x (+ x y))) (* y (+ x (+ x y))))) (- (* x x) (* y (+ x (+ x y)))) (+ (* x x) (* y x)) (+ (* x x) (* x y)) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (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)))) 0.520 * * [simplify]: iteration 0 : 252 enodes (cost 301 ) 0.526 * * [simplify]: iteration 1 : 1187 enodes (cost 261 ) 0.553 * * [simplify]: iteration 2 : 5001 enodes (cost 244 ) 0.555 * [simplify]: Simplified to: (exp (+ x (+ x y))) (exp (+ x (+ x y))) (log (+ x (+ x y))) (exp (+ x (+ x y))) (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y)))) (cbrt (+ x (+ x y))) (pow (+ x (+ x y)) 3) (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))) (+ (pow x 3) (pow (+ x y) 3)) (+ (* y (+ x y)) (pow x 2)) (* (- 0 y) (+ x (+ x y))) (- 0 y) (+ x (+ x y)) (+ x (+ x y)) (+ x x) (* y (+ x (+ x y))) (log (* y (+ x (+ x y)))) (log (* y (+ x (+ x y)))) (exp (* y (+ x (+ x y)))) (pow (* y (+ x (+ x y))) 3) (* (cbrt (* y (+ x (+ x y)))) (cbrt (* y (+ x (+ x y))))) (cbrt (* y (+ x (+ x y)))) (pow (* y (+ x (+ x y))) 3) (sqrt (* y (+ x (+ x y)))) (sqrt (* y (+ x (+ x y)))) (* (sqrt y) (sqrt (+ x (+ x y)))) (* (sqrt y) (sqrt (+ x (+ x y)))) (* y x) (* y (+ x y)) (* y x) (* y (+ x y)) (* y (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))) (* y (sqrt (+ x (+ x y)))) y y y (* (cbrt y) (+ x (+ x y))) (* (sqrt y) (+ x (+ x y))) (* y (+ x (+ x y))) (* y (+ (pow x 3) (pow (+ x y) 3))) (* (* y (+ x (+ x y))) (- 0 y)) (exp (* (+ x y) (+ x y))) (+ (log (+ x y)) (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (+ (* x x) (* y (+ x (+ x y))))) (cbrt (+ (* x x) (* y (+ x (+ x y)))))) (cbrt (+ (* x x) (* y (+ x (+ x y))))) (pow (* (+ x y) (+ x y)) 3) (fabs (+ x y)) (fabs (+ x y)) (+ (pow (* x x) 3) (pow (* y (+ x (+ x y))) 3)) (+ (* (* y (+ x (+ x y))) (- (* y (+ x (+ x y))) (pow x 2))) (* (* x x) (* x x))) (* (- (* x x) (* y (+ x (+ x y)))) (* (+ x y) (+ x y))) (- (* x x) (* y (+ x (+ x y)))) (* x (+ x y)) (* x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) (* y (+ x (+ x y))) (* y (+ x (+ x y))) (* y (+ x (+ x y))) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 0.555 * * * [progress]: adding candidates to table 0.625 * * [progress]: iteration 4 / 4 0.625 * * * [progress]: picking best candidate 0.626 * * * * [pick]: Picked # 0.626 * * * [progress]: localizing error 0.632 * * * [progress]: generating rewritten candidates 0.633 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.638 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.646 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.656 * * * [progress]: generating series expansions 0.656 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.656 * [approximate]: Taking taylor expansion of (+ x (* 2 y)) in (x y) around 0 0.656 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.656 * [taylor]: Taking taylor expansion of 2 in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.656 * [taylor]: Taking taylor expansion of 2 in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.656 * [taylor]: Taking taylor expansion of 2 in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.657 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.657 * [taylor]: Taking taylor expansion of 2 in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of 1 in y 0.659 * [taylor]: Taking taylor expansion of 0 in y 0.660 * [taylor]: Taking taylor expansion of 0 in y 0.661 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in (x y) around 0 0.661 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.661 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.661 * [taylor]: Taking taylor expansion of 2 in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.661 * [taylor]: Taking taylor expansion of x in y 0.661 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.661 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.661 * [taylor]: Taking taylor expansion of 2 in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.661 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.661 * [taylor]: Taking taylor expansion of 2 in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of 1 in y 0.663 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.663 * [taylor]: Taking taylor expansion of 2 in y 0.663 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.663 * [taylor]: Taking taylor expansion of y in y 0.665 * [taylor]: Taking taylor expansion of 0 in y 0.667 * [taylor]: Taking taylor expansion of 0 in y 0.669 * [taylor]: Taking taylor expansion of 0 in y 0.670 * [approximate]: Taking taylor expansion of (neg (+ (* 2 (/ 1 y)) (/ 1 x))) in (x y) around 0 0.670 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 y)) (/ 1 x))) in y 0.670 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.670 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.670 * [taylor]: Taking taylor expansion of 2 in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.670 * [taylor]: Taking taylor expansion of x in y 0.670 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 y)) (/ 1 x))) in x 0.670 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.670 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.670 * [taylor]: Taking taylor expansion of 2 in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.670 * [taylor]: Taking taylor expansion of y in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 y)) (/ 1 x))) in x 0.671 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.671 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.671 * [taylor]: Taking taylor expansion of 2 in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of -1 in y 0.672 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 y))) in y 0.672 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.672 * [taylor]: Taking taylor expansion of 2 in y 0.672 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.677 * [taylor]: Taking taylor expansion of 0 in y 0.679 * [taylor]: Taking taylor expansion of 0 in y 0.682 * [taylor]: Taking taylor expansion of 0 in y 0.683 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.683 * [approximate]: Taking taylor expansion of (* x (+ x (* 2 y))) in (x y) around 0 0.683 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 0.683 * [taylor]: Taking taylor expansion of x in y 0.683 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.683 * [taylor]: Taking taylor expansion of x in y 0.683 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.683 * [taylor]: Taking taylor expansion of 2 in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.683 * [taylor]: Taking taylor expansion of 2 in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.683 * [taylor]: Taking taylor expansion of 2 in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [taylor]: Taking taylor expansion of 0 in y 0.684 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.684 * [taylor]: Taking taylor expansion of 2 in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of 1 in y 0.688 * [taylor]: Taking taylor expansion of 0 in y 0.691 * [taylor]: Taking taylor expansion of 0 in y 0.691 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.691 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.691 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.691 * [taylor]: Taking taylor expansion of 2 in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.692 * [taylor]: Taking taylor expansion of x in y 0.692 * [taylor]: Taking taylor expansion of x in y 0.692 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.692 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.692 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.692 * [taylor]: Taking taylor expansion of 2 in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.692 * [taylor]: Taking taylor expansion of y in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.693 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.693 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.693 * [taylor]: Taking taylor expansion of 2 in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of 1 in y 0.695 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.695 * [taylor]: Taking taylor expansion of 2 in y 0.695 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.698 * [taylor]: Taking taylor expansion of 0 in y 0.701 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [taylor]: Taking taylor expansion of 0 in y 0.706 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.706 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.706 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.706 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.706 * [taylor]: Taking taylor expansion of 2 in y 0.706 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.706 * [taylor]: Taking taylor expansion of x in y 0.706 * [taylor]: Taking taylor expansion of x in y 0.707 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.707 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.707 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.707 * [taylor]: Taking taylor expansion of 2 in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.707 * [taylor]: Taking taylor expansion of y in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) 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 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 in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of 0 in y 0.716 * [taylor]: Taking taylor expansion of 0 in y 0.720 * [taylor]: Taking taylor expansion of 0 in y 0.721 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.721 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.721 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.721 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.721 * [taylor]: Taking taylor expansion of 2 in y 0.721 * [taylor]: Taking taylor expansion of (* x y) in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.721 * [taylor]: Taking taylor expansion of y in x 0.721 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.721 * [taylor]: Taking taylor expansion of 2 in x 0.721 * [taylor]: Taking taylor expansion of (* x y) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of y in x 0.721 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.721 * [taylor]: Taking taylor expansion of y in x 0.721 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.721 * [taylor]: Taking taylor expansion of 2 in x 0.721 * [taylor]: Taking taylor expansion of (* x y) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.723 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.723 * [taylor]: Taking taylor expansion of 2 in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of 1 in y 0.726 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.726 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.726 * [taylor]: Taking taylor expansion of x in y 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.726 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.727 * [taylor]: Taking taylor expansion of 2 in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.727 * [taylor]: Taking taylor expansion of (* x y) in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.728 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.728 * [taylor]: Taking taylor expansion of y in x 0.728 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.728 * [taylor]: Taking taylor expansion of 2 in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.728 * [taylor]: Taking taylor expansion of (* x y) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of y in x 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.728 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.729 * [taylor]: Taking taylor expansion of 2 in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.729 * [taylor]: Taking taylor expansion of (* x y) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of 1 in y 0.731 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.731 * [taylor]: Taking taylor expansion of 2 in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.735 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.735 * [taylor]: Taking taylor expansion of x in y 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.736 * [taylor]: Taking taylor expansion of 2 in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.736 * [taylor]: Taking taylor expansion of (* x y) in y 0.736 * [taylor]: Taking taylor expansion of x in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.736 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.737 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.737 * [taylor]: Taking taylor expansion of 2 in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.737 * [taylor]: Taking taylor expansion of (* x y) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.738 * [taylor]: Taking taylor expansion of y in x 0.738 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.738 * [taylor]: Taking taylor expansion of 2 in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.738 * [taylor]: Taking taylor expansion of (* x y) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of y in x 0.738 * [taylor]: Taking taylor expansion of 1 in y 0.739 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.739 * [taylor]: Taking taylor expansion of 2 in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.742 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.742 * [taylor]: Taking taylor expansion of y in y 0.743 * * * [progress]: simplifying candidates 0.744 * [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) (* 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 (+ (+ 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 (* 2 y)) (+ x (* 2 y)) (+ x (* 2 y)) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 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) (+ (pow y 2) (* 2 (* x y)))) 0.748 * * [simplify]: iteration 0 : 252 enodes (cost 304 ) 0.754 * * [simplify]: iteration 1 : 1166 enodes (cost 264 ) 0.781 * * [simplify]: iteration 2 : 5001 enodes (cost 243 ) 0.783 * [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) (* 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) (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 y) y) (+ (+ x y) y) (+ (+ x y) y) (* x (+ (+ x y) y)) (* x (+ (+ x y) y)) (* x (+ (+ x y) y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 0.783 * * * [progress]: adding candidates to table 0.853 * [progress]: [Phase 3 of 3] Extracting. 0.853 * * [regime]: Finding splitpoints for: (# #) 0.853 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.853 * * * * [regimes]: Trying to branch on y from (# #) 0.867 * * * * [regimes]: Trying to branch on x from (# #) 0.878 * * * [regime]: Found split indices: #