13.669 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.015 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.016 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.017 * * [simplify]: iteration done : 7 enodes (cost 8 ) 0.017 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.017 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.029 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.036 * [taylor]: Taking taylor expansion of 1/2 in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 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 0.044 * [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 0.046 * [taylor]: Taking taylor expansion of 1 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of 1/2 in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 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 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 1 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.063 * [taylor]: Taking taylor expansion of 1/2 in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.068 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.068 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of 1 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of 1 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.101 * * * [progress]: simplifying candidates 0.101 * [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)))) (* (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) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.103 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.113 * * [simplify]: iteration 1 : 125 enodes (cost 347 ) 0.145 * * [simplify]: iteration 2 : 438 enodes (cost 295 ) 0.334 * * [simplify]: iteration 3 : 1621 enodes (cost 295 ) 1.152 * * [simplify]: iteration done : 5000 enodes (cost 295 ) 1.152 * [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 y 6) (pow x 6))) (sqrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (sqrt (- (pow x 4) (pow y 4))) (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 y 6) (pow x 6)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 1.152 * * * [progress]: adding candidates to table 1.217 * * [progress]: iteration 2 / 4 1.217 * * * [progress]: picking best candidate 1.222 * * * * [pick]: Picked # 1.222 * * * [progress]: localizing error 1.231 * * * [progress]: generating rewritten candidates 1.231 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.235 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.238 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.241 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.245 * * * [progress]: generating series expansions 1.245 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.245 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.245 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.245 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.245 * [taylor]: Taking taylor expansion of x in y 1.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.245 * [taylor]: Taking taylor expansion of y in y 1.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.246 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.246 * [taylor]: Taking taylor expansion of y in x 1.247 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.247 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.247 * [taylor]: Taking taylor expansion of y in x 1.247 * [taylor]: Taking taylor expansion of y in y 1.247 * [taylor]: Taking taylor expansion of 0 in y 1.249 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.249 * [taylor]: Taking taylor expansion of 1/2 in y 1.249 * [taylor]: Taking taylor expansion of y in y 1.253 * [taylor]: Taking taylor expansion of 0 in y 1.254 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.254 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.254 * [taylor]: Taking taylor expansion of x in y 1.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.254 * [taylor]: Taking taylor expansion of y in y 1.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.257 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.257 * [taylor]: Taking taylor expansion of y in x 1.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.260 * [taylor]: Taking taylor expansion of y in x 1.262 * [taylor]: Taking taylor expansion of 1 in y 1.262 * [taylor]: Taking taylor expansion of 0 in y 1.264 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.264 * [taylor]: Taking taylor expansion of 1/2 in y 1.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.264 * [taylor]: Taking taylor expansion of y in y 1.267 * [taylor]: Taking taylor expansion of 0 in y 1.269 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.269 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.269 * [taylor]: Taking taylor expansion of x in y 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.269 * [taylor]: Taking taylor expansion of y in y 1.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.272 * [taylor]: Taking taylor expansion of y in x 1.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.274 * [taylor]: Taking taylor expansion of x in x 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.274 * [taylor]: Taking taylor expansion of y in x 1.276 * [taylor]: Taking taylor expansion of 1 in y 1.276 * [taylor]: Taking taylor expansion of 0 in y 1.278 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.278 * [taylor]: Taking taylor expansion of 1/2 in y 1.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.278 * [taylor]: Taking taylor expansion of y in y 1.282 * [taylor]: Taking taylor expansion of 0 in y 1.283 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.283 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.283 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.283 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.283 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.283 * [taylor]: Taking taylor expansion of x in y 1.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.283 * [taylor]: Taking taylor expansion of y in y 1.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.284 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.284 * [taylor]: Taking taylor expansion of y in x 1.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.284 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.284 * [taylor]: Taking taylor expansion of y in x 1.285 * [taylor]: Taking taylor expansion of y in y 1.285 * [taylor]: Taking taylor expansion of 0 in y 1.286 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.286 * [taylor]: Taking taylor expansion of 1/2 in y 1.286 * [taylor]: Taking taylor expansion of y in y 1.288 * [taylor]: Taking taylor expansion of 0 in y 1.289 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.289 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.289 * [taylor]: Taking taylor expansion of x in y 1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.289 * [taylor]: Taking taylor expansion of y in y 1.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.292 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.292 * [taylor]: Taking taylor expansion of y in x 1.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.296 * [taylor]: Taking taylor expansion of y in x 1.298 * [taylor]: Taking taylor expansion of 1 in y 1.298 * [taylor]: Taking taylor expansion of 0 in y 1.300 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.300 * [taylor]: Taking taylor expansion of 1/2 in y 1.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.300 * [taylor]: Taking taylor expansion of y in y 1.303 * [taylor]: Taking taylor expansion of 0 in y 1.304 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.304 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.304 * [taylor]: Taking taylor expansion of x in y 1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.304 * [taylor]: Taking taylor expansion of y in y 1.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.307 * [taylor]: Taking taylor expansion of y in x 1.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.310 * [taylor]: Taking taylor expansion of y in x 1.312 * [taylor]: Taking taylor expansion of 1 in y 1.312 * [taylor]: Taking taylor expansion of 0 in y 1.314 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.314 * [taylor]: Taking taylor expansion of 1/2 in y 1.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.314 * [taylor]: Taking taylor expansion of y in y 1.317 * [taylor]: Taking taylor expansion of 0 in y 1.319 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.319 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.319 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.319 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.319 * [taylor]: Taking taylor expansion of x in y 1.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.319 * [taylor]: Taking taylor expansion of y in y 1.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.319 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.319 * [taylor]: Taking taylor expansion of y in x 1.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.320 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.320 * [taylor]: Taking taylor expansion of y in x 1.321 * [taylor]: Taking taylor expansion of y in y 1.321 * [taylor]: Taking taylor expansion of 0 in y 1.322 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.322 * [taylor]: Taking taylor expansion of 1/2 in y 1.322 * [taylor]: Taking taylor expansion of y in y 1.324 * [taylor]: Taking taylor expansion of 0 in y 1.325 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.325 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.325 * [taylor]: Taking taylor expansion of x in y 1.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.325 * [taylor]: Taking taylor expansion of y in y 1.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.328 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.328 * [taylor]: Taking taylor expansion of y in x 1.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.331 * [taylor]: Taking taylor expansion of y in x 1.333 * [taylor]: Taking taylor expansion of 1 in y 1.333 * [taylor]: Taking taylor expansion of 0 in y 1.335 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.335 * [taylor]: Taking taylor expansion of 1/2 in y 1.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.335 * [taylor]: Taking taylor expansion of y in y 1.343 * [taylor]: Taking taylor expansion of 0 in y 1.345 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.345 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.345 * [taylor]: Taking taylor expansion of x in y 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.345 * [taylor]: Taking taylor expansion of y in y 1.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.348 * [taylor]: Taking taylor expansion of y in x 1.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.351 * [taylor]: Taking taylor expansion of y in x 1.353 * [taylor]: Taking taylor expansion of 1 in y 1.353 * [taylor]: Taking taylor expansion of 0 in y 1.355 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.355 * [taylor]: Taking taylor expansion of 1/2 in y 1.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.355 * [taylor]: Taking taylor expansion of y in y 1.358 * [taylor]: Taking taylor expansion of 0 in y 1.359 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.359 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in (x y) around 0 1.359 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in y 1.359 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in y 1.359 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in y 1.359 * [taylor]: Taking taylor expansion of 1/6 in y 1.359 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.360 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.360 * [taylor]: Taking taylor expansion of x in y 1.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.360 * [taylor]: Taking taylor expansion of y in y 1.360 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x 1.360 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x 1.360 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x 1.360 * [taylor]: Taking taylor expansion of 1/6 in x 1.360 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.360 * [taylor]: Taking taylor expansion of y in x 1.360 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x 1.360 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x 1.360 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x 1.360 * [taylor]: Taking taylor expansion of 1/6 in x 1.360 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.360 * [taylor]: Taking taylor expansion of y in x 1.361 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/6) in y 1.361 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow y 2)))) in y 1.361 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow y 2))) in y 1.361 * [taylor]: Taking taylor expansion of 1/6 in y 1.361 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.361 * [taylor]: Taking taylor expansion of y in y 1.363 * [taylor]: Taking taylor expansion of 0 in y 1.369 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) in y 1.369 * [taylor]: Taking taylor expansion of 1/6 in y 1.369 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y 1.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y 1.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y 1.369 * [taylor]: Taking taylor expansion of 1/3 in y 1.369 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y 1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 1.369 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.369 * [taylor]: Taking taylor expansion of y in y 1.380 * [taylor]: Taking taylor expansion of 0 in y 1.390 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in (x y) around 0 1.390 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 1.390 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.390 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.390 * [taylor]: Taking taylor expansion of 1/6 in y 1.390 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.390 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.390 * [taylor]: Taking taylor expansion of x in y 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.391 * [taylor]: Taking taylor expansion of y in y 1.392 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 1.392 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.392 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.392 * [taylor]: Taking taylor expansion of 1/6 in x 1.392 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.392 * [taylor]: Taking taylor expansion of x in x 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.393 * [taylor]: Taking taylor expansion of y in x 1.394 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 1.394 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.394 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.394 * [taylor]: Taking taylor expansion of 1/6 in x 1.394 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.395 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.395 * [taylor]: Taking taylor expansion of y in x 1.396 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 1.396 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 1.396 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 1.396 * [taylor]: Taking taylor expansion of -1/3 in y 1.396 * [taylor]: Taking taylor expansion of (log x) in y 1.396 * [taylor]: Taking taylor expansion of x in y 1.399 * [taylor]: Taking taylor expansion of 0 in y 1.404 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 1.404 * [taylor]: Taking taylor expansion of 1/6 in y 1.404 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 1.404 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.404 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.404 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.404 * [taylor]: Taking taylor expansion of 1/3 in y 1.404 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.404 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.404 * [taylor]: Taking taylor expansion of x in y 1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.404 * [taylor]: Taking taylor expansion of y in y 1.420 * [taylor]: Taking taylor expansion of 0 in y 1.420 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in (x y) around 0 1.420 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 1.420 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.420 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.420 * [taylor]: Taking taylor expansion of 1/6 in y 1.420 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.420 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.420 * [taylor]: Taking taylor expansion of x in y 1.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.420 * [taylor]: Taking taylor expansion of y in y 1.422 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 1.422 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.422 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.422 * [taylor]: Taking taylor expansion of 1/6 in x 1.422 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.423 * [taylor]: Taking taylor expansion of y in x 1.424 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 1.424 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.424 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.424 * [taylor]: Taking taylor expansion of 1/6 in x 1.424 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.424 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.424 * [taylor]: Taking taylor expansion of y in x 1.425 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 1.425 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 1.425 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 1.425 * [taylor]: Taking taylor expansion of -1/3 in y 1.425 * [taylor]: Taking taylor expansion of (log x) in y 1.425 * [taylor]: Taking taylor expansion of x in y 1.428 * [taylor]: Taking taylor expansion of 0 in y 1.438 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 1.438 * [taylor]: Taking taylor expansion of 1/6 in y 1.439 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 1.439 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.439 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.439 * [taylor]: Taking taylor expansion of 1/3 in y 1.439 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.439 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.439 * [taylor]: Taking taylor expansion of x in y 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.439 * [taylor]: Taking taylor expansion of y in y 1.455 * [taylor]: Taking taylor expansion of 0 in y 1.455 * * * [progress]: simplifying candidates 1.456 * [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)))) (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 (cbrt (sqrt (+ (* x x) (* y y))))) (exp (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (cbrt (sqrt (cbrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt 1)) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt 1) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (sqrt (- (* x x) (* y y)))) (* (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) y x (* -1 x) y x (* -1 x) y x (* -1 x) (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -1/3) (pow (/ -1 x) -1/3) 1.459 * * [simplify]: iteration 0 : 70 enodes (cost 952 ) 1.472 * * [simplify]: iteration 1 : 149 enodes (cost 853 ) 1.506 * * [simplify]: iteration 2 : 366 enodes (cost 761 ) 1.612 * * [simplify]: iteration 3 : 944 enodes (cost 750 ) 2.384 * * [simplify]: iteration 4 : 3193 enodes (cost 750 ) 3.159 * * [simplify]: iteration done : 5000 enodes (cost 750 ) 3.159 * [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 y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (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 y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (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 y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (cbrt (sqrt (+ (* x x) (* y y))))) (exp (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (fabs (cbrt (+ (* x x) (* y y))))) (cbrt (sqrt (cbrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 1 (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 1 (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (pow y 6) (pow x 6)))) (cbrt (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (cbrt (sqrt (- (pow x 4) (pow y 4)))) (cbrt (sqrt (- (* x x) (* y y)))) (* (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (+ (* x x) (* y y))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) y x (- x) y x (- x) y x (- x) (+ (* (* (* x x) (cbrt (/ 1 (pow y 5)))) 1/6) (cbrt y)) (pow (/ 1 x) -1/3) (pow (/ -1 x) -1/3) 3.160 * * * [progress]: adding candidates to table 3.341 * * [progress]: iteration 3 / 4 3.341 * * * [progress]: picking best candidate 3.346 * * * * [pick]: Picked # 3.346 * * * [progress]: localizing error 3.362 * * * [progress]: generating rewritten candidates 3.362 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 3.365 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1) 3.368 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 3.372 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 3.376 * * * [progress]: generating series expansions 3.376 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 3.376 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.376 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.376 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.376 * [taylor]: Taking taylor expansion of x in y 3.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.376 * [taylor]: Taking taylor expansion of y in y 3.377 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.377 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.377 * [taylor]: Taking taylor expansion of x in x 3.377 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.377 * [taylor]: Taking taylor expansion of y in x 3.378 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.378 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.378 * [taylor]: Taking taylor expansion of x in x 3.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.378 * [taylor]: Taking taylor expansion of y in x 3.378 * [taylor]: Taking taylor expansion of y in y 3.378 * [taylor]: Taking taylor expansion of 0 in y 3.380 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.380 * [taylor]: Taking taylor expansion of 1/2 in y 3.380 * [taylor]: Taking taylor expansion of y in y 3.382 * [taylor]: Taking taylor expansion of 0 in y 3.382 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.382 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.382 * [taylor]: Taking taylor expansion of x in y 3.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.383 * [taylor]: Taking taylor expansion of y in y 3.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.385 * [taylor]: Taking taylor expansion of x in x 3.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.386 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.386 * [taylor]: Taking taylor expansion of y in x 3.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.388 * [taylor]: Taking taylor expansion of x in x 3.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.388 * [taylor]: Taking taylor expansion of y in x 3.390 * [taylor]: Taking taylor expansion of 1 in y 3.390 * [taylor]: Taking taylor expansion of 0 in y 3.395 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.395 * [taylor]: Taking taylor expansion of 1/2 in y 3.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.395 * [taylor]: Taking taylor expansion of y in y 3.398 * [taylor]: Taking taylor expansion of 0 in y 3.399 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.399 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.399 * [taylor]: Taking taylor expansion of x in y 3.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.399 * [taylor]: Taking taylor expansion of y in y 3.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.402 * [taylor]: Taking taylor expansion of x in x 3.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.402 * [taylor]: Taking taylor expansion of y in x 3.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.404 * [taylor]: Taking taylor expansion of x in x 3.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.405 * [taylor]: Taking taylor expansion of y in x 3.407 * [taylor]: Taking taylor expansion of 1 in y 3.407 * [taylor]: Taking taylor expansion of 0 in y 3.409 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.409 * [taylor]: Taking taylor expansion of 1/2 in y 3.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.409 * [taylor]: Taking taylor expansion of y in y 3.412 * [taylor]: Taking taylor expansion of 0 in y 3.413 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1) 3.413 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.413 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.413 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.413 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.413 * [taylor]: Taking taylor expansion of x in y 3.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.413 * [taylor]: Taking taylor expansion of y in y 3.414 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.414 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.414 * [taylor]: Taking taylor expansion of x in x 3.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.414 * [taylor]: Taking taylor expansion of y in x 3.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.415 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.415 * [taylor]: Taking taylor expansion of x in x 3.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.415 * [taylor]: Taking taylor expansion of y in x 3.415 * [taylor]: Taking taylor expansion of y in y 3.415 * [taylor]: Taking taylor expansion of 0 in y 3.416 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.416 * [taylor]: Taking taylor expansion of 1/2 in y 3.416 * [taylor]: Taking taylor expansion of y in y 3.418 * [taylor]: Taking taylor expansion of 0 in y 3.419 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.419 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.419 * [taylor]: Taking taylor expansion of x in y 3.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.419 * [taylor]: Taking taylor expansion of y in y 3.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.422 * [taylor]: Taking taylor expansion of x in x 3.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.422 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.422 * [taylor]: Taking taylor expansion of y in x 3.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.424 * [taylor]: Taking taylor expansion of x in x 3.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.425 * [taylor]: Taking taylor expansion of y in x 3.427 * [taylor]: Taking taylor expansion of 1 in y 3.427 * [taylor]: Taking taylor expansion of 0 in y 3.429 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.429 * [taylor]: Taking taylor expansion of 1/2 in y 3.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.429 * [taylor]: Taking taylor expansion of y in y 3.432 * [taylor]: Taking taylor expansion of 0 in y 3.433 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.433 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.433 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.433 * [taylor]: Taking taylor expansion of x in y 3.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.433 * [taylor]: Taking taylor expansion of y in y 3.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.436 * [taylor]: Taking taylor expansion of x in x 3.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.436 * [taylor]: Taking taylor expansion of y in x 3.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.438 * [taylor]: Taking taylor expansion of x in x 3.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.439 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.439 * [taylor]: Taking taylor expansion of y in x 3.441 * [taylor]: Taking taylor expansion of 1 in y 3.441 * [taylor]: Taking taylor expansion of 0 in y 3.443 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.443 * [taylor]: Taking taylor expansion of 1/2 in y 3.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.443 * [taylor]: Taking taylor expansion of y in y 3.446 * [taylor]: Taking taylor expansion of 0 in y 3.447 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 3.447 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.447 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.447 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.447 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.447 * [taylor]: Taking taylor expansion of x in y 3.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.447 * [taylor]: Taking taylor expansion of y in y 3.448 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.448 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.448 * [taylor]: Taking taylor expansion of x in x 3.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.448 * [taylor]: Taking taylor expansion of y in x 3.448 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.448 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.448 * [taylor]: Taking taylor expansion of x in x 3.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.448 * [taylor]: Taking taylor expansion of y in x 3.449 * [taylor]: Taking taylor expansion of y in y 3.449 * [taylor]: Taking taylor expansion of 0 in y 3.450 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.450 * [taylor]: Taking taylor expansion of 1/2 in y 3.450 * [taylor]: Taking taylor expansion of y in y 3.452 * [taylor]: Taking taylor expansion of 0 in y 3.453 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.453 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.453 * [taylor]: Taking taylor expansion of x in y 3.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.453 * [taylor]: Taking taylor expansion of y in y 3.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.456 * [taylor]: Taking taylor expansion of x in x 3.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.456 * [taylor]: Taking taylor expansion of y in x 3.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.458 * [taylor]: Taking taylor expansion of x in x 3.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.459 * [taylor]: Taking taylor expansion of y in x 3.461 * [taylor]: Taking taylor expansion of 1 in y 3.461 * [taylor]: Taking taylor expansion of 0 in y 3.463 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.463 * [taylor]: Taking taylor expansion of 1/2 in y 3.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.463 * [taylor]: Taking taylor expansion of y in y 3.466 * [taylor]: Taking taylor expansion of 0 in y 3.467 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.467 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.467 * [taylor]: Taking taylor expansion of x in y 3.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.467 * [taylor]: Taking taylor expansion of y in y 3.470 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.470 * [taylor]: Taking taylor expansion of x in x 3.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.470 * [taylor]: Taking taylor expansion of y in x 3.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.472 * [taylor]: Taking taylor expansion of x in x 3.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.473 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.473 * [taylor]: Taking taylor expansion of y in x 3.475 * [taylor]: Taking taylor expansion of 1 in y 3.475 * [taylor]: Taking taylor expansion of 0 in y 3.479 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.479 * [taylor]: Taking taylor expansion of 1/2 in y 3.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.479 * [taylor]: Taking taylor expansion of y in y 3.482 * [taylor]: Taking taylor expansion of 0 in y 3.484 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 3.484 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.484 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.484 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.484 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.484 * [taylor]: Taking taylor expansion of x in y 3.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.484 * [taylor]: Taking taylor expansion of y in y 3.484 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.484 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.484 * [taylor]: Taking taylor expansion of x in x 3.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.484 * [taylor]: Taking taylor expansion of y in x 3.485 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.485 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.485 * [taylor]: Taking taylor expansion of x in x 3.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.485 * [taylor]: Taking taylor expansion of y in x 3.486 * [taylor]: Taking taylor expansion of y in y 3.486 * [taylor]: Taking taylor expansion of 0 in y 3.487 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.487 * [taylor]: Taking taylor expansion of 1/2 in y 3.487 * [taylor]: Taking taylor expansion of y in y 3.489 * [taylor]: Taking taylor expansion of 0 in y 3.489 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.490 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.490 * [taylor]: Taking taylor expansion of x in y 3.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.490 * [taylor]: Taking taylor expansion of y in y 3.492 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.492 * [taylor]: Taking taylor expansion of x in x 3.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.493 * [taylor]: Taking taylor expansion of y in x 3.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.495 * [taylor]: Taking taylor expansion of x in x 3.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.495 * [taylor]: Taking taylor expansion of y in x 3.497 * [taylor]: Taking taylor expansion of 1 in y 3.497 * [taylor]: Taking taylor expansion of 0 in y 3.499 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.499 * [taylor]: Taking taylor expansion of 1/2 in y 3.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.499 * [taylor]: Taking taylor expansion of y in y 3.502 * [taylor]: Taking taylor expansion of 0 in y 3.504 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.504 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.504 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.504 * [taylor]: Taking taylor expansion of x in y 3.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.504 * [taylor]: Taking taylor expansion of y in y 3.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.506 * [taylor]: Taking taylor expansion of x in x 3.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.507 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.507 * [taylor]: Taking taylor expansion of y in x 3.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.509 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.509 * [taylor]: Taking taylor expansion of x in x 3.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.509 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.509 * [taylor]: Taking taylor expansion of y in x 3.511 * [taylor]: Taking taylor expansion of 1 in y 3.512 * [taylor]: Taking taylor expansion of 0 in y 3.513 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.513 * [taylor]: Taking taylor expansion of 1/2 in y 3.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.513 * [taylor]: Taking taylor expansion of y in y 3.517 * [taylor]: Taking taylor expansion of 0 in y 3.518 * * * [progress]: simplifying candidates 3.519 * [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)))) (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)))) y x (* -1 x) y x (* -1 x) y x (* -1 x) y x (* -1 x) 3.521 * * [simplify]: iteration 0 : 38 enodes (cost 852 ) 3.527 * * [simplify]: iteration 1 : 91 enodes (cost 744 ) 3.542 * * [simplify]: iteration 2 : 207 enodes (cost 680 ) 3.588 * * [simplify]: iteration 3 : 459 enodes (cost 656 ) 3.700 * * [simplify]: iteration 4 : 1009 enodes (cost 656 ) 4.151 * * [simplify]: iteration 5 : 2577 enodes (cost 656 ) 5.106 * * [simplify]: iteration done : 5000 enodes (cost 656 ) 5.106 * [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 y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (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 y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (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 y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (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 y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (- x) y x (- x) y x (- x) y x (- x) 5.107 * * * [progress]: adding candidates to table 5.334 * * [progress]: iteration 4 / 4 5.334 * * * [progress]: picking best candidate 5.337 * * * * [pick]: Picked # 5.337 * * * [progress]: localizing error 5.338 * * * [progress]: generating rewritten candidates 5.338 * * * [progress]: generating series expansions 5.338 * * * [progress]: simplifying candidates 5.338 * [simplify]: Simplifying using # : 5.339 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 5.339 * * [simplify]: iteration done : 0 enodes (cost 0 ) 5.339 * [simplify]: Simplified to: 5.339 * * * [progress]: adding candidates to table 5.339 * [progress]: [Phase 3 of 3] Extracting. 5.339 * * [regime]: Finding splitpoints for: (# # # # #) 5.340 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 5.340 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 5.359 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 5.376 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 5.396 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 5.411 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # #) 5.432 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 5.444 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # #) 5.468 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# #) 5.483 * * * * [regimes]: Trying to branch on y from (# # # # #) 5.516 * * * * [regimes]: Trying to branch on x from (# # # # #) 5.544 * * * [regime]: Found split indices: #