23.155 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.023 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.025 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.026 * * [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 # 0.037 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.059 * * * [progress]: generating series expansions 0.059 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.059 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.059 * [taylor]: Taking taylor expansion of (+ x y) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.059 * [taylor]: Taking taylor expansion of (+ x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.059 * [taylor]: Taking taylor expansion of (+ x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.060 * [taylor]: Taking taylor expansion of 2 in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of 1 in y 0.062 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of 1 in y 0.064 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.064 * [taylor]: Taking taylor expansion of 2 in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.067 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 1 in y 0.071 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.071 * [taylor]: Taking taylor expansion of 2 in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.073 * * * [progress]: simplifying candidates 0.074 * [simplify]: Simplifying using # : (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.078 * * [simplify]: iteration 0 : 189 enodes (cost 213 ) 0.082 * * [simplify]: iteration 1 : 901 enodes (cost 188 ) 0.107 * * [simplify]: iteration 2 : 5001 enodes (cost 170 ) 0.112 * [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)) 0.112 * * * [progress]: adding candidates to table 0.155 * * [progress]: iteration 2 / 4 0.155 * * * [progress]: picking best candidate 0.158 * * * * [pick]: Picked # 0.158 * * * [progress]: localizing error 0.163 * * * [progress]: generating rewritten candidates 0.163 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.176 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.182 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.194 * * * [progress]: generating series expansions 0.194 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.194 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.194 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.194 * [taylor]: Taking taylor expansion of x in y 0.195 * [taylor]: Taking taylor expansion of (+ x y) in y 0.195 * [taylor]: Taking taylor expansion of x in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (+ x y) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (+ x y) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of 1 in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.199 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of 1 in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.210 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of 1 in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.221 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.221 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.221 * [taylor]: Taking taylor expansion of 2 in y 0.221 * [taylor]: Taking taylor expansion of (* x y) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 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 (+ (pow y 2) (* 2 (* x y))) 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 (* x y)) in x 0.221 * [taylor]: Taking taylor expansion of 2 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 0.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 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 (+ (pow y 2) (* 2 (* x y))) 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 (* x y)) in x 0.221 * [taylor]: Taking taylor expansion of 2 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 (pow y 2) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.223 * [taylor]: Taking taylor expansion of 2 in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of 1 in y 0.226 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.227 * [taylor]: Taking taylor expansion of 2 in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (* x 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 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.228 * [taylor]: Taking taylor expansion of 2 in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.228 * [taylor]: Taking taylor expansion of (* x y) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.229 * [taylor]: Taking taylor expansion of 2 in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.229 * [taylor]: Taking taylor expansion of (* x y) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.231 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.231 * [taylor]: Taking taylor expansion of 2 in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.234 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.235 * [taylor]: Taking taylor expansion of x in y 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.235 * [taylor]: Taking taylor expansion of 2 in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.235 * [taylor]: Taking taylor expansion of (* x y) in y 0.235 * [taylor]: Taking taylor expansion of x in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.236 * [taylor]: Taking taylor expansion of 2 in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.236 * [taylor]: Taking taylor expansion of (* x y) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.238 * [taylor]: Taking taylor expansion of 2 in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.238 * [taylor]: Taking taylor expansion of (* x y) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of 1 in y 0.239 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.239 * [taylor]: Taking taylor expansion of 2 in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.243 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.243 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.243 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (+ x y) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (+ x y) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (+ x y) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of 0 in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of 1 in x 0.246 * [taylor]: Taking taylor expansion of 0 in x 0.247 * [taylor]: Taking taylor expansion of 0 in x 0.247 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.247 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 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 y) (/ 1 x)) y) in y 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of 1 in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of 0 in x 0.259 * [taylor]: Taking taylor expansion of 0 in x 0.262 * [taylor]: Taking taylor expansion of 0 in x 0.262 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.262 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of 1 in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of 0 in x 0.270 * [taylor]: Taking taylor expansion of 0 in x 0.272 * [taylor]: Taking taylor expansion of 0 in x 0.273 * * * [progress]: simplifying candidates 0.274 * [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)) 0.279 * * [simplify]: iteration 0 : 349 enodes (cost 386 ) 0.287 * * [simplify]: iteration 1 : 1961 enodes (cost 333 ) 0.330 * * [simplify]: iteration 2 : 5001 enodes (cost 331 ) 0.332 * [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)) 0.332 * * * [progress]: adding candidates to table 0.451 * * [progress]: iteration 3 / 4 0.451 * * * [progress]: picking best candidate 0.453 * * * * [pick]: Picked # 0.453 * * * [progress]: localizing error 0.461 * * * [progress]: generating rewritten candidates 0.461 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.476 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.494 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.499 * * * [progress]: generating series expansions 0.499 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.500 * [approximate]: Taking taylor expansion of (/ (* (- (pow x 2) (pow y 2)) (+ x y)) (- x y)) in (x y) around 0 0.500 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) (pow y 2)) (+ x y)) (- x y)) in y 0.500 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in y 0.500 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (+ x y) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (- x y) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.501 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) (pow y 2)) (+ x y)) (- x y)) in x 0.501 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.501 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [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 (+ x y) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of (- x y) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) (pow y 2)) (+ x y)) (- x y)) in x 0.501 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.501 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [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 (+ x y) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of (- x y) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.504 * [taylor]: Taking taylor expansion of 2 in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of 1 in y 0.507 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.507 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 x) (/ 1 y))) in y 0.507 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.507 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.507 * [taylor]: Taking taylor expansion of x in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.508 * [taylor]: Taking taylor expansion of x in y 0.508 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.508 * [taylor]: Taking taylor expansion of x in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 x) (/ 1 y))) in x 0.510 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.510 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.511 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.511 * [taylor]: Taking taylor expansion of y in x 0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) 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 0.511 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.511 * [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 y) in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.513 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 x) (/ 1 y))) in x 0.513 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.513 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.516 * [taylor]: Taking taylor expansion of 1 in y 0.518 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.518 * [taylor]: Taking taylor expansion of 2 in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.523 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.523 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x)))) in y 0.523 * [taylor]: Taking taylor expansion of -1 in y 0.523 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x))) in y 0.524 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.524 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.524 * [taylor]: Taking taylor expansion of x in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.526 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x)))) in x 0.526 * [taylor]: Taking taylor expansion of -1 in x 0.526 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x)))) in x 0.529 * [taylor]: Taking taylor expansion of -1 in x 0.529 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x))) in x 0.529 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.529 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of 1 in y 0.535 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.535 * [taylor]: Taking taylor expansion of 2 in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.541 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.541 * [approximate]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 0.541 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in y 0.541 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.541 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.541 * [taylor]: Taking taylor expansion of x in y 0.541 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of (+ x y) in y 0.541 * [taylor]: Taking taylor expansion of x in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.541 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.541 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.541 * [taylor]: Taking taylor expansion of (+ x y) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.542 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.542 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.542 * [taylor]: Taking taylor expansion of (+ x y) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.542 * [taylor]: Taking taylor expansion of (* -1 (pow y 3)) in y 0.542 * [taylor]: Taking taylor expansion of -1 in y 0.542 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.543 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of 1 in y 0.548 * [approximate]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.548 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.548 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.548 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.548 * [taylor]: Taking taylor expansion of x in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.549 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.550 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of 1 in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.564 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.566 * [approximate]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.566 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 0.566 * [taylor]: Taking taylor expansion of -1 in y 0.566 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.566 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.567 * [taylor]: Taking taylor expansion of x in y 0.567 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.567 * [taylor]: Taking taylor expansion of -1 in x 0.567 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.567 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.568 * [taylor]: Taking taylor expansion of -1 in x 0.568 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.568 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of -1 in y 0.572 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.579 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.581 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.581 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.581 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.581 * [taylor]: Taking taylor expansion of x in y 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of 0 in y 0.583 * [taylor]: Taking taylor expansion of 1 in y 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.587 * [taylor]: Taking taylor expansion of 0 in y 0.587 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.587 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.587 * [taylor]: Taking taylor expansion of x in y 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.589 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.589 * [taylor]: Taking taylor expansion of y in x 0.589 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.589 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.589 * [taylor]: Taking taylor expansion of y in x 0.590 * [taylor]: Taking taylor expansion of 1 in y 0.591 * [taylor]: Taking taylor expansion of 0 in y 0.592 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of 0 in y 0.597 * [taylor]: Taking taylor expansion of 0 in y 0.599 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.599 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.600 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of 1 in y 0.602 * [taylor]: Taking taylor expansion of 0 in y 0.603 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.610 * [taylor]: Taking taylor expansion of 0 in y 0.612 * * * [progress]: simplifying candidates 0.614 * [simplify]: Simplifying using # : (- (+ (log (- (* x x) (* y y))) (log (+ x y))) (log (- x y))) (- (log (* (- (* x x) (* y y)) (+ x y))) (log (- x y))) (log (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (exp (/ (* (- (* x x) (* y y)) (+ x y)) (- x 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))) (/ (* (* (* (- (* x x) (* y y)) (+ x y)) (* (- (* x x) (* y y)) (+ x y))) (* (- (* x x) (* y y)) (+ x y))) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)))) (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (* (* (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)) (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (sqrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (sqrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (- (* (- (* x x) (* y y)) (+ x y))) (- (- x y)) (/ (- (* x x) (* y y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ (- (* x x) (* y y)) (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) (/ (- (* x x) (* y y)) 1) (/ (+ x y) (- x y)) (/ (- (* x x) (* y y)) (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) (/ (- (* x x) (* y y)) 1) (/ (+ x y) (- x y)) (/ 1 (- x y)) (/ (- x y) (* (- (* x x) (* y y)) (+ x y))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (- (* x x) (* y y)) (+ x y)) (sqrt (- x y))) (/ (* (- (* x x) (* y y)) (+ x y)) 1) (/ (* (- (* x x) (* y y)) (+ x y)) (+ (sqrt x) (sqrt y))) (/ (* (- (* x x) (* y y)) (+ x y)) 1) (/ (- x y) (+ x y)) (/ (* (- (* x x) (* y y)) (+ x y)) (- (pow x 3) (pow y 3))) (/ (* (- (* x x) (* y y)) (+ x y)) (- (* x x) (* y y))) (* (- x y) (* (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* x x) (- (* y y) (* x y))))) (* (- x y) (* (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- x y))) (* (- x y) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y))))) (* (- x y) (* (+ (* x x) (* y y)) (- x y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (- x y)) (* (- x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (- x y) (+ (* x x) (* y y))) (* (- (* x x) (* y y)) (+ x y)) (+ (log (- (* x x) (* y y))) (log (+ x y))) (log (* (- (* x x) (* y y)) (+ x y))) (exp (* (- (* x x) (* y y)) (+ x y))) (* (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (* (* (+ x y) (+ 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))) (* (* (* (- (* 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))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (+ (pow x 3) (pow y 3))) (* (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* x x) (- (* y y) (* x y)))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (- (* x x) (* y y))) (* (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- x y)) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)) (* (sqrt (- (* x x) (* y y))) (sqrt (+ x y))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ x y))) (* (- (* x x) (* y y)) x) (* (- (* x x) (* y y)) y) (* x (- (* x x) (* y y))) (* y (- (* x x) (* y y))) (* (- (* x x) (* y y)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- (* x x) (* y y)) (sqrt (+ x y))) (* (- (* x x) (* y y)) 1) (* (- (* x x) (* y y)) 1) (* (cbrt (- (* x x) (* y y))) (+ x y)) (* (sqrt (- (* x x) (* y y))) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (* (- x y) (+ x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (+ x y)) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ x y)) (/ (exp (* x x)) (exp (* y y))) (log (- (* x x) (* y y))) (exp (- (* x 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))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* 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) y) (pow x 3)) (* x (pow y 2))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.622 * * [simplify]: iteration 0 : 436 enodes (cost 731 ) 0.636 * * [simplify]: iteration 1 : 2661 enodes (cost 647 ) 0.706 * * [simplify]: iteration 2 : 5001 enodes (cost 647 ) 0.712 * [simplify]: Simplified to: (log (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (log (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (log (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (exp (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (pow (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)) 3) (pow (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)) 3) (* (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)))) (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (pow (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)) 3) (sqrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (sqrt (/ (* (- (* x x) (* y y)) (+ x y)) (- 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(+ (* x x) (* y y))) (- x y)) (* (- x y) (* (+ (* x x) (* y y)) (- x y))) (* (+ (* y (- y x)) (pow x 2)) (- x y)) (* (- x y) (- x y)) (* (- x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (- x y) (+ (* x x) (* y y))) (* (- (* x x) (* y y)) (+ x y)) (log (* (- (* x x) (* y y)) (+ x y))) (log (* (- (* x x) (* y y)) (+ x y))) (exp (* (- (* x x) (* y y)) (+ x y))) (pow (* (- (* x x) (* y y)) (+ x y)) 3) (* (cbrt (* (- (* x x) (* y y)) (+ x y))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (cbrt (* (- (* x x) (* y y)) (+ x y))) (pow (* (- (* x x) (* y y)) (+ x y)) 3) (sqrt (* (- (* x x) (* y y)) (+ x y))) (sqrt (* (- (* x x) (* y y)) (+ x y))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (+ (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (pow x 2)) (+ (* (pow y 2) (+ (pow y 2) (pow x 2))) (* (* x x) (* x x)))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (- (* x x) (* y y))) (* (- x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (pow x 2)) (+ (* x x) (* y y))) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))) (* (- x y) (+ (* x x) (* y y))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ x y))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ x y))) (* (- (* x x) (* y y)) x) (* (- (* x x) (* y y)) y) (* (- (* x x) (* y y)) x) (* (- (* x x) (* y y)) y) (* (- (* x x) (* y y)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- (* x x) (* y y)) (sqrt (+ x y))) (- (* x x) (* y y)) (- (* x x) (* y y)) (* (cbrt (- (* x x) (* y y))) (+ x y)) (* (sqrt (- (* x x) (* y y))) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (- (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (+ x y)) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ x y)) (exp (- (* x x) (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (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))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (pow x 2) (+ (* x x) (* y y))) (pow y 4)) (- (* y y)) (+ (* (- (pow y 3)) y) (pow x 4)) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* 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) y) (pow x 3)) (* x (pow y 2))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 0.712 * * * [progress]: adding candidates to table 0.894 * [progress]: [Phase 3 of 3] Extracting. 0.894 * * [regime]: Finding splitpoints for: (# # #) 0.894 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (* (+ x y) (+ x y)) y x) 0.894 * * * * [regimes]: Trying to branch on (+ x y) from (# # #) 0.909 * * * * [regimes]: Trying to branch on (* (+ x y) (+ x y)) from (# # #) 0.920 * * * * [regimes]: Trying to branch on y from (# # #) 0.934 * * * * [regimes]: Trying to branch on x from (# # #) 0.946 * * * [regime]: Found split indices: #