12.981 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.021 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.022 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 1 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 1 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of 1 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.067 * * * [progress]: simplifying candidates 0.068 * [simplify]: Simplifying using # : (* (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)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.071 * * [simplify]: iteration 0 : 101 enodes (cost 77 ) 0.074 * * [simplify]: iteration 1 : 465 enodes (cost 66 ) 0.081 * * [simplify]: iteration 2 : 1240 enodes (cost 66 ) 0.114 * * [simplify]: iteration 3 : 5001 enodes (cost 66 ) 0.115 * [simplify]: Simplified to: (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 (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.115 * * * [progress]: adding candidates to table 0.141 * * [progress]: iteration 2 / 4 0.141 * * * [progress]: picking best candidate 0.145 * * * * [pick]: Picked # 0.145 * * * [progress]: localizing error 0.152 * * * [progress]: generating rewritten candidates 0.152 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.156 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.165 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.169 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.174 * * * [progress]: generating series expansions 0.174 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.175 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.175 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.175 * [taylor]: Taking taylor expansion of x in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.176 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.177 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.179 * [taylor]: Taking taylor expansion of 1/2 in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of 1 in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.193 * [taylor]: Taking taylor expansion of 1/2 in y 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.202 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of 1 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.209 * [taylor]: Taking taylor expansion of 1/2 in y 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.214 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.214 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.214 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.215 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.215 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.217 * [taylor]: Taking taylor expansion of 1/2 in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of 1 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.231 * [taylor]: Taking taylor expansion of 1/2 in y 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of 1 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.247 * [taylor]: Taking taylor expansion of 1/2 in y 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.251 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.252 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.252 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [taylor]: Taking taylor expansion of 1 in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of 1 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of 1 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.287 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.288 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.288 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [taylor]: Taking taylor expansion of 1 in y 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.293 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of 1 in y 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.305 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.307 * [taylor]: Taking taylor expansion of y in x 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.307 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of 1 in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.317 * * * [progress]: simplifying candidates 0.318 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y 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)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y 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)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.322 * * [simplify]: iteration 0 : 125 enodes (cost 354 ) 0.326 * * [simplify]: iteration 1 : 530 enodes (cost 326 ) 0.335 * * [simplify]: iteration 2 : 1540 enodes (cost 326 ) 0.369 * * [simplify]: iteration 3 : 5001 enodes (cost 324 ) 0.372 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y 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 y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y 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 y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.372 * * * [progress]: adding candidates to table 0.499 * * [progress]: iteration 3 / 4 0.499 * * * [progress]: picking best candidate 0.502 * * * * [pick]: Picked # 0.502 * * * [progress]: localizing error 0.514 * * * [progress]: generating rewritten candidates 0.514 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.526 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.534 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.542 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.548 * * * [progress]: generating series expansions 0.548 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.549 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in (y x) around 0 0.549 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x 0.549 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.549 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 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 (pow y 2) in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 0.549 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.549 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 0.550 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.550 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of 0 in x 0.554 * [taylor]: Taking taylor expansion of 1 in x 0.557 * [taylor]: Taking taylor expansion of 0 in x 0.566 * [taylor]: Taking taylor expansion of 0 in x 0.567 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (y x) around 0 0.567 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.567 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.567 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.568 * [taylor]: Taking taylor expansion of y 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 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.569 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.570 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.570 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.571 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.572 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.572 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.572 * [taylor]: Taking taylor expansion of x in y 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.573 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.574 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.574 * [taylor]: Taking taylor expansion of x in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of 1 in x 0.579 * [taylor]: Taking taylor expansion of 0 in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of 0 in x 0.594 * [taylor]: Taking taylor expansion of 0 in x 0.596 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (y x) around 0 0.596 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.596 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.596 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.597 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.598 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.598 * [taylor]: Taking taylor expansion of y in x 0.599 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.599 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.599 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.599 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.600 * [taylor]: Taking taylor expansion of x in y 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.600 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.600 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.602 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.602 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.602 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.603 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.603 * [taylor]: Taking taylor expansion of x 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 0.605 * [taylor]: Taking taylor expansion of 1 in x 0.608 * [taylor]: Taking taylor expansion of 0 in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.612 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of 0 in x 0.624 * [taylor]: Taking taylor expansion of 0 in x 0.625 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.625 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (y x) around 0 0.625 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.625 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.625 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.625 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of 0 in x 0.627 * [taylor]: Taking taylor expansion of 0 in x 0.629 * [taylor]: Taking taylor expansion of 0 in x 0.629 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (y x) around 0 0.629 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.629 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.630 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.630 * [taylor]: Taking taylor expansion of y in x 0.630 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.630 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.630 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.631 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.631 * [taylor]: Taking taylor expansion of x in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.632 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.633 * [taylor]: Taking taylor expansion of -1 in x 0.634 * [taylor]: Taking taylor expansion of 0 in x 0.636 * [taylor]: Taking taylor expansion of 0 in x 0.638 * [taylor]: Taking taylor expansion of 0 in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.640 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of 0 in x 0.654 * [taylor]: Taking taylor expansion of 0 in x 0.657 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (y x) around 0 0.657 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.657 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.657 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.657 * [taylor]: Taking taylor expansion of y in x 0.658 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.658 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.658 * [taylor]: Taking taylor expansion of x in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.658 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.659 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.659 * [taylor]: Taking taylor expansion of x in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.659 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.660 * [taylor]: Taking taylor expansion of -1 in x 0.662 * [taylor]: Taking taylor expansion of 0 in x 0.664 * [taylor]: Taking taylor expansion of 0 in x 0.666 * [taylor]: Taking taylor expansion of 0 in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.668 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of 0 in x 0.676 * [taylor]: Taking taylor expansion of 0 in x 0.678 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.678 * [approximate]: Taking taylor expansion of (* -1 (pow y 4)) in (y) around 0 0.678 * [taylor]: Taking taylor expansion of (* -1 (pow y 4)) in y 0.678 * [taylor]: Taking taylor expansion of -1 in y 0.678 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.678 * [taylor]: Taking taylor expansion of (* -1 (pow y 4)) in y 0.678 * [taylor]: Taking taylor expansion of -1 in y 0.678 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.690 * [approximate]: Taking taylor expansion of (/ -1 (pow y 4)) in (y) around 0 0.690 * [taylor]: Taking taylor expansion of (/ -1 (pow y 4)) in y 0.690 * [taylor]: Taking taylor expansion of -1 in y 0.690 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of (/ -1 (pow y 4)) in y 0.691 * [taylor]: Taking taylor expansion of -1 in y 0.691 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.702 * [approximate]: Taking taylor expansion of (/ -1 (pow y 4)) in (y) around 0 0.702 * [taylor]: Taking taylor expansion of (/ -1 (pow y 4)) in y 0.702 * [taylor]: Taking taylor expansion of -1 in y 0.702 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.703 * [taylor]: Taking taylor expansion of (/ -1 (pow y 4)) in y 0.703 * [taylor]: Taking taylor expansion of -1 in y 0.703 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.703 * [taylor]: Taking taylor expansion of y in y 0.714 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.714 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.714 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.714 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.714 * [taylor]: Taking taylor expansion of x in y 0.714 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.714 * [taylor]: Taking taylor expansion of y in y 0.714 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.714 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.715 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.715 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.715 * [taylor]: Taking taylor expansion of 0 in y 0.716 * [taylor]: Taking taylor expansion of 1 in y 0.718 * [taylor]: Taking taylor expansion of 0 in y 0.720 * [taylor]: Taking taylor expansion of 0 in y 0.721 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.721 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 (pow y 2)) 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 (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.722 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.723 * [taylor]: Taking taylor expansion of y in x 0.723 * [taylor]: Taking taylor expansion of 1 in y 0.724 * [taylor]: Taking taylor expansion of 0 in y 0.725 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.725 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of 0 in y 0.737 * [taylor]: Taking taylor expansion of 0 in y 0.738 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.738 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.739 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.739 * [taylor]: Taking taylor expansion of x in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.739 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.740 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.740 * [taylor]: Taking taylor expansion of y in x 0.740 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.741 * [taylor]: Taking taylor expansion of y in x 0.741 * [taylor]: Taking taylor expansion of 1 in y 0.742 * [taylor]: Taking taylor expansion of 0 in y 0.744 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.744 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.746 * [taylor]: Taking taylor expansion of 0 in y 0.749 * [taylor]: Taking taylor expansion of 0 in y 0.751 * * * [progress]: simplifying candidates 0.752 * [simplify]: Simplifying using # : (- (log (+ (* (- (pow y 3)) y) (pow x 4))) (log (- (* x x) (* y y)))) (log (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (exp (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (/ (* (* (+ (* (- (pow y 3)) y) (pow x 4)) (+ (* (- (pow y 3)) y) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (* (* (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (- (+ (* (- (pow y 3)) y) (pow x 4))) (- (- (* x x) (* y y))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (- (* x x) (* y y)))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (sqrt (- (* x x) (* y y)))) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y)))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) 1) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (- (* x x) (* y y))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (+ x y)) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (- x y)) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (- (* x x) (* y y)))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y)))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y)))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) 1) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (- (* x x) (* y y))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (+ x y)) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (- x y)) (/ 1 (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (cbrt (- (* x x) (* y y)))) (/ 1 (sqrt (- (* x x) (* y y)))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (sqrt (- (* x x) (* y y)))) (/ 1 1) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))) (/ 1 (+ x y)) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- x y)) (/ 1 (- (* x x) (* y y))) (/ (- (* x x) (* y y)) (+ (* (- (pow y 3)) y) (pow x 4))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (sqrt (- (* x x) (* y y)))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) 1) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (+ x y)) (/ (- (* x x) (* y y)) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (/ (- (* x x) (* y y)) (sqrt (+ (* (- (pow y 3)) y) (pow x 4)))) (/ (- (* x x) (* y y)) (+ (* (- (pow y 3)) y) (pow x 4))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (pow (* x x) 3) (pow (* y y) 3))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (- (* x x) (* y y)) (+ (* (* (- (pow y 3)) y) (* (- (pow y 3)) y)) (- (* (pow x 4) (pow x 4)) (* (* (- (pow y 3)) y) (pow x 4))))) (* (- (* x x) (* y y)) (- (* (- (pow y 3)) y) (pow x 4))) (* (exp (* (- (pow y 3)) y)) (exp (pow x 4))) (log (+ (* (- (pow y 3)) y) (pow x 4))) (exp (+ (* (- (pow y 3)) y) (pow x 4))) (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (* (* (+ (* (- (pow y 3)) y) (pow x 4)) (+ (* (- (pow y 3)) y) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (+ (pow (* (- (pow y 3)) y) 3) (pow (pow x 4) 3)) (+ (* (* (- (pow y 3)) y) (* (- (pow y 3)) y)) (- (* (pow x 4) (pow x 4)) (* (* (- (pow y 3)) y) (pow x 4)))) (- (* (* (- (pow y 3)) y) (* (- (pow y 3)) y)) (* (pow x 4) (pow x 4))) (- (* (- (pow y 3)) y) (pow x 4)) (* (- (pow y 3)) y) (+ (log (- (pow y 3))) (log y)) (log (* (- (pow y 3)) y)) (exp (* (- (pow y 3)) y)) (* (* (* (- (pow y 3)) (- (pow y 3))) (- (pow y 3))) (* (* y y) y)) (* (cbrt (* (- (pow y 3)) y)) (cbrt (* (- (pow y 3)) y))) (cbrt (* (- (pow y 3)) y)) (* (* (* (- (pow y 3)) y) (* (- (pow y 3)) y)) (* (- (pow y 3)) y)) (sqrt (* (- (pow y 3)) y)) (sqrt (* (- (pow y 3)) y)) (* (sqrt (- (pow y 3))) (sqrt y)) (* (sqrt (- (pow y 3))) (sqrt y)) (* (pow y 3) y) (* (- (pow y 3)) (* (cbrt y) (cbrt y))) (* (- (pow y 3)) (sqrt y)) (* (- (pow y 3)) 1) (* (cbrt (- (pow y 3))) y) (* (sqrt (- (pow y 3))) y) (* (- (pow y 3)) y) (* (pow y 3) y) (* (pow (cbrt y) 3) y) (* (pow (sqrt y) 3) y) (* (pow y 3) y) (* y y) (* (cbrt (pow y 3)) y) (* (pow (cbrt y) 3) y) (* (pow (sqrt y) 3) y) (* (pow y 3) y) (* (* y y) y) (* (sqrt (pow y 3)) y) (* (pow y 3) y) (* (pow y (/ 3 2)) y) (* (- (pow (cbrt y) 3)) y) (* (- (pow (sqrt y) 3)) y) (* (- (pow y 3)) y) (* (- y) y) (* (- (cbrt (pow y 3))) y) (* (- (pow (cbrt y) 3)) y) (* (- (pow (sqrt y) 3)) y) (* (- (pow y 3)) y) (* (- (* y y)) y) (* (- (sqrt (pow y 3))) y) (* (- (pow y 3)) y) (* (- (pow y (/ 3 2))) 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)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (* -1 (pow y 4)) (* -1 (pow y 4)) (* -1 (pow y 4)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.759 * * [simplify]: iteration 0 : 391 enodes (cost 841 ) 0.769 * * [simplify]: iteration 1 : 2274 enodes (cost 726 ) 0.832 * * [simplify]: iteration 2 : 5003 enodes (cost 717 ) 0.837 * [simplify]: Simplified to: (- (log (- (pow x 4) (pow y 4))) (log (- (* x x) (* y y)))) (- (log (- (pow x 4) (pow y 4))) (log (- (* x x) (* y y)))) (exp (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (pow (/ (/ (- (pow x 4) (pow y 4)) (+ x y)) (- x y)) 3) (* (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (pow (/ (/ (- (pow x 4) (pow y 4)) (+ x y)) (- x y)) 3) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (- (pow y 4) (pow x 4)) (- (- (* x x) (* y y))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (- (* x x) (* y y)))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (sqrt (- (* x x) (* y y)))) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y)))) (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (- (* x x) (* y y))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (+ x y)) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (- x y)) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (- (* x x) (* y y)))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y)))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y)))) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (- (* x x) (* y y))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (+ x y)) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (- x y)) (/ 1 (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (- (pow x 4) (pow y 4)) (cbrt (- (* x x) (* y y)))) (/ 1 (sqrt (- (* x x) (* y y)))) (/ (- (pow x 4) (pow y 4)) (sqrt (- (* x x) (* y y)))) 1 (/ (/ (- (pow x 4) (pow y 4)) (+ x y)) (- x y)) (/ 1 (+ x y)) (/ (- (pow x 4) (pow y 4)) (- x y)) (/ 1 (- (* x x) (* y y))) (/ (+ x y) (/ (- (pow x 4) (pow y 4)) (- x y))) (/ (/ (- (pow x 4) (pow y 4)) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y)))) (/ (- (pow x 4) (pow y 4)) (sqrt (- (* x x) (* y y)))) (- (pow x 4) (pow y 4)) (/ (- (pow x 4) (pow y 4)) (+ x y)) (/ (- (* x x) (* y y)) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (/ (- (* x x) (* y y)) (sqrt (+ (* (- (pow y 3)) y) (pow x 4)))) (/ (+ x y) (/ (- (pow x 4) (pow y 4)) (- x y))) (/ (- (pow x 4) (pow y 4)) (- (pow (* x x) 3) (pow (* y y) 3))) 1 (* (* (+ (pow x 8) (+ (* (pow y 4) (pow x 4)) (pow (* y y) 4))) (+ x y)) (- x y)) (* (* (- (+ (pow y 4) (pow x 4))) (+ x y)) (- x y)) (exp (- (pow x 4) (pow y 4))) (log (- (pow x 4) (pow y 4))) (exp (- (pow x 4) (pow y 4))) (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (pow (- (pow x 4) (pow y 4)) 3) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (+ (pow (* (- (pow y 3)) y) 3) (pow (pow x 4) 3)) (+ (pow x 8) (+ (* (pow y 4) (pow x 4)) (pow (* y y) 4))) (+ (- (pow x 8)) (pow (* y y) 4)) (- (+ (pow y 4) (pow x 4))) (- (pow y 4)) (log (* (- (pow y 3)) y)) (log (* (- (pow y 3)) y)) (pow (exp -1) (pow y 4)) (* -1 (pow (pow y 4) 3)) (* (cbrt (* (- (pow y 3)) y)) (cbrt (* (- (pow y 3)) y))) (cbrt (* (- (pow y 3)) y)) (* -1 (pow (pow y 4) 3)) (sqrt (* (- (pow y 3)) y)) (sqrt (* (- (pow y 3)) y)) (* (sqrt (- (pow y 3))) (sqrt y)) (* (sqrt (- (pow y 3))) (sqrt y)) (pow y 4) (* (- (pow y 3)) (* (cbrt y) (cbrt y))) (* (- (pow y 3)) (sqrt y)) (- (pow y 3)) (* (cbrt (- (pow y 3))) y) (* (sqrt (- (pow y 3))) y) (- (pow y 4)) (pow y 4) (* y y) (* (pow (sqrt y) 3) y) (pow y 4) (* y y) (* y y) (* y y) (* (pow (sqrt y) 3) y) (pow y 4) (pow y 3) (* (sqrt (pow y 3)) y) (pow y 4) (pow y 5/2) (- (* y y)) (* (- (pow (sqrt y) 3)) y) (- (pow y 4)) (- (* y y)) (- (* y y)) (- (* y y)) (* (- (pow (sqrt y) 3)) y) (- (pow y 4)) (- (pow y 3)) (* (- (sqrt (pow y 3))) y) (- (pow y 4)) (- (pow y 5/2)) (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 4) (* (* x x) (* y y))) (pow y 4)) (- (* y y)) (- (pow x 4) (pow y 4)) (+ (pow x 2) (pow y 2)) (+ x y) (- x y) (- (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (- (pow y 4)) (- (pow y 4)) (- (pow y 4)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 0.838 * * * [progress]: adding candidates to table 1.108 * [progress]: [Phase 3 of 3] Extracting. 1.108 * * [regime]: Finding splitpoints for: (# #) 1.108 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 1.108 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.124 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.136 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 1.150 * * * * [regimes]: Trying to branch on y from (# #) 1.166 * * * * [regimes]: Trying to branch on x from (# #) 1.178 * * * [regime]: Found split indices: #