12.669 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.014 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.015 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.016 * * [simplify]: iteration done : 7 enodes (cost 8 ) 0.016 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.026 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.029 * * * [progress]: generating series expansions 0.029 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.030 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.030 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.030 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.030 * [taylor]: Taking taylor expansion of x in y 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.031 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.031 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.033 * [taylor]: Taking taylor expansion of 1/2 in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 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 1 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of 1/2 in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.054 * [taylor]: Taking taylor expansion of y in x 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 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of 1 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of 1/2 in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.066 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.066 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of 1 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of 1 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.098 * * * [progress]: simplifying candidates 0.098 * [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)) 0.100 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.110 * * [simplify]: iteration 1 : 125 enodes (cost 347 ) 0.140 * * [simplify]: iteration 2 : 438 enodes (cost 295 ) 0.339 * * [simplify]: iteration 3 : 1621 enodes (cost 295 ) 1.174 * * [simplify]: iteration done : 5000 enodes (cost 295 ) 1.174 * [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)) 1.175 * * * [progress]: adding candidates to table 1.244 * * [progress]: iteration 2 / 4 1.244 * * * [progress]: picking best candidate 1.249 * * * * [pick]: Picked # 1.249 * * * [progress]: localizing error 1.258 * * * [progress]: generating rewritten candidates 1.258 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.263 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.266 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.270 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.273 * * * [progress]: generating series expansions 1.273 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.273 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.273 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.273 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.273 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.273 * [taylor]: Taking taylor expansion of x in y 1.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.274 * [taylor]: Taking taylor expansion of y in y 1.274 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 1.274 * [taylor]: Taking taylor expansion of y in x 1.275 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.275 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.275 * [taylor]: Taking taylor expansion of y in x 1.276 * [taylor]: Taking taylor expansion of y in y 1.276 * [taylor]: Taking taylor expansion of 0 in y 1.277 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.277 * [taylor]: Taking taylor expansion of 1/2 in y 1.277 * [taylor]: Taking taylor expansion of y in y 1.282 * [taylor]: Taking taylor expansion of 0 in y 1.282 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in y 1.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.283 * [taylor]: Taking taylor expansion of y in y 1.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.286 * [taylor]: Taking taylor expansion of y in x 1.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.288 * [taylor]: Taking taylor expansion of y in x 1.290 * [taylor]: Taking taylor expansion of 1 in y 1.290 * [taylor]: Taking taylor expansion of 0 in y 1.292 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.292 * [taylor]: Taking taylor expansion of 1/2 in y 1.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.292 * [taylor]: Taking taylor expansion of y in y 1.295 * [taylor]: Taking taylor expansion of 0 in y 1.296 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.297 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.297 * [taylor]: Taking taylor expansion of x in y 1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.297 * [taylor]: Taking taylor expansion of y in y 1.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.300 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.300 * [taylor]: Taking taylor expansion of y in x 1.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.302 * [taylor]: Taking taylor expansion of y in x 1.304 * [taylor]: Taking taylor expansion of 1 in y 1.304 * [taylor]: Taking taylor expansion of 0 in y 1.306 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.306 * [taylor]: Taking taylor expansion of 1/2 in y 1.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.306 * [taylor]: Taking taylor expansion of y in y 1.310 * [taylor]: Taking taylor expansion of 0 in y 1.311 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.311 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.311 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.311 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.311 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.311 * [taylor]: Taking taylor expansion of x in y 1.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.311 * [taylor]: Taking taylor expansion of y in y 1.312 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.312 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.312 * [taylor]: Taking taylor expansion of y in x 1.312 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.312 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.312 * [taylor]: Taking taylor expansion of y in x 1.313 * [taylor]: Taking taylor expansion of y in y 1.313 * [taylor]: Taking taylor expansion of 0 in y 1.314 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.314 * [taylor]: Taking taylor expansion of 1/2 in y 1.314 * [taylor]: Taking taylor expansion of y in y 1.316 * [taylor]: Taking taylor expansion of 0 in y 1.317 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.317 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.317 * [taylor]: Taking taylor expansion of x in y 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.317 * [taylor]: Taking taylor expansion of y in y 1.319 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 1.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.320 * [taylor]: Taking taylor expansion of y in x 1.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.322 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.322 * [taylor]: Taking taylor expansion of y in x 1.324 * [taylor]: Taking taylor expansion of 1 in y 1.324 * [taylor]: Taking taylor expansion of 0 in y 1.326 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.326 * [taylor]: Taking taylor expansion of 1/2 in y 1.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.326 * [taylor]: Taking taylor expansion of y in y 1.329 * [taylor]: Taking taylor expansion of 0 in y 1.331 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.331 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.331 * [taylor]: Taking taylor expansion of x in y 1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.331 * [taylor]: Taking taylor expansion of y in y 1.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.334 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.334 * [taylor]: Taking taylor expansion of y in x 1.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.337 * [taylor]: Taking taylor expansion of y in x 1.339 * [taylor]: Taking taylor expansion of 1 in y 1.339 * [taylor]: Taking taylor expansion of 0 in y 1.340 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.340 * [taylor]: Taking taylor expansion of 1/2 in y 1.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.341 * [taylor]: Taking taylor expansion of y in y 1.344 * [taylor]: Taking taylor expansion of 0 in y 1.345 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.345 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.345 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.345 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in y 1.345 * [taylor]: Taking taylor expansion of y in y 1.345 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.346 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.346 * [taylor]: Taking taylor expansion of y in x 1.346 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.346 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.346 * [taylor]: Taking taylor expansion of y in x 1.347 * [taylor]: Taking taylor expansion of y in y 1.347 * [taylor]: Taking taylor expansion of 0 in y 1.348 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.348 * [taylor]: Taking taylor expansion of 1/2 in y 1.348 * [taylor]: Taking taylor expansion of y in y 1.350 * [taylor]: Taking taylor expansion of 0 in y 1.351 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.351 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.351 * [taylor]: Taking taylor expansion of x in y 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.351 * [taylor]: Taking taylor expansion of y in y 1.353 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.354 * [taylor]: Taking taylor expansion of y in x 1.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.357 * [taylor]: Taking taylor expansion of y in x 1.359 * [taylor]: Taking taylor expansion of 1 in y 1.359 * [taylor]: Taking taylor expansion of 0 in y 1.361 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.361 * [taylor]: Taking taylor expansion of 1/2 in y 1.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.361 * [taylor]: Taking taylor expansion of y in y 1.369 * [taylor]: Taking taylor expansion of 0 in y 1.371 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.371 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.371 * [taylor]: Taking taylor expansion of x in y 1.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.371 * [taylor]: Taking taylor expansion of y in y 1.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.373 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.374 * [taylor]: Taking taylor expansion of y in x 1.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.376 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.376 * [taylor]: Taking taylor expansion of y in x 1.378 * [taylor]: Taking taylor expansion of 1 in y 1.378 * [taylor]: Taking taylor expansion of 0 in y 1.380 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.380 * [taylor]: Taking taylor expansion of 1/2 in y 1.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.380 * [taylor]: Taking taylor expansion of y in y 1.383 * [taylor]: Taking taylor expansion of 0 in y 1.385 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.385 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in (x y) around 0 1.385 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in y 1.385 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in y 1.385 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in y 1.385 * [taylor]: Taking taylor expansion of 1/6 in y 1.385 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.385 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.385 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.385 * [taylor]: Taking taylor expansion of x in y 1.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.385 * [taylor]: Taking taylor expansion of y in y 1.385 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x 1.385 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x 1.385 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x 1.385 * [taylor]: Taking taylor expansion of 1/6 in x 1.385 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.385 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.385 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.385 * [taylor]: Taking taylor expansion of y in x 1.386 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x 1.386 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x 1.386 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x 1.386 * [taylor]: Taking taylor expansion of 1/6 in x 1.386 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.386 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.386 * [taylor]: Taking taylor expansion of y in x 1.386 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/6) in y 1.386 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow y 2)))) in y 1.386 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow y 2))) in y 1.386 * [taylor]: Taking taylor expansion of 1/6 in y 1.386 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.386 * [taylor]: Taking taylor expansion of y in y 1.389 * [taylor]: Taking taylor expansion of 0 in y 1.394 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) in y 1.394 * [taylor]: Taking taylor expansion of 1/6 in y 1.394 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y 1.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y 1.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y 1.394 * [taylor]: Taking taylor expansion of 1/3 in y 1.394 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 1.394 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.394 * [taylor]: Taking taylor expansion of y in y 1.404 * [taylor]: Taking taylor expansion of 0 in y 1.413 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in (x y) around 0 1.413 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 1.413 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.413 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.413 * [taylor]: Taking taylor expansion of 1/6 in y 1.414 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.414 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.414 * [taylor]: Taking taylor expansion of x in y 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.414 * [taylor]: Taking taylor expansion of y in y 1.415 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 1.415 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.415 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.415 * [taylor]: Taking taylor expansion of 1/6 in x 1.415 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.417 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 1.417 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.417 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.417 * [taylor]: Taking taylor expansion of 1/6 in x 1.417 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.417 * [taylor]: Taking taylor expansion of y in x 1.418 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 1.418 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 1.418 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 1.418 * [taylor]: Taking taylor expansion of -1/3 in y 1.418 * [taylor]: Taking taylor expansion of (log x) in y 1.418 * [taylor]: Taking taylor expansion of x in y 1.421 * [taylor]: Taking taylor expansion of 0 in y 1.426 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 1.426 * [taylor]: Taking taylor expansion of 1/6 in y 1.426 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 1.426 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.426 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.426 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.426 * [taylor]: Taking taylor expansion of 1/3 in y 1.426 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.426 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.426 * [taylor]: Taking taylor expansion of x in y 1.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.426 * [taylor]: Taking taylor expansion of y in y 1.441 * [taylor]: Taking taylor expansion of 0 in y 1.442 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in (x y) around 0 1.442 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 1.442 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.442 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.442 * [taylor]: Taking taylor expansion of 1/6 in y 1.442 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.442 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.442 * [taylor]: Taking taylor expansion of x in y 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.442 * [taylor]: Taking taylor expansion of y in y 1.443 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 1.443 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.443 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.443 * [taylor]: Taking taylor expansion of 1/6 in x 1.443 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.444 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.444 * [taylor]: Taking taylor expansion of y in x 1.445 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 1.445 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.445 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.445 * [taylor]: Taking taylor expansion of 1/6 in x 1.445 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.446 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.446 * [taylor]: Taking taylor expansion of y in x 1.447 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 1.447 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 1.447 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 1.447 * [taylor]: Taking taylor expansion of -1/3 in y 1.447 * [taylor]: Taking taylor expansion of (log x) in y 1.447 * [taylor]: Taking taylor expansion of x in y 1.450 * [taylor]: Taking taylor expansion of 0 in y 1.460 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 1.460 * [taylor]: Taking taylor expansion of 1/6 in y 1.460 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 1.461 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.461 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.461 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.461 * [taylor]: Taking taylor expansion of 1/3 in y 1.461 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.461 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.461 * [taylor]: Taking taylor expansion of x in y 1.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.461 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.461 * [taylor]: Taking taylor expansion of y in y 1.476 * [taylor]: Taking taylor expansion of 0 in y 1.476 * * * [progress]: simplifying candidates 1.477 * [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) 1.480 * * [simplify]: iteration 0 : 70 enodes (cost 952 ) 1.493 * * [simplify]: iteration 1 : 149 enodes (cost 853 ) 1.525 * * [simplify]: iteration 2 : 366 enodes (cost 761 ) 1.632 * * [simplify]: iteration 3 : 944 enodes (cost 750 ) 2.244 * * [simplify]: iteration 4 : 3193 enodes (cost 750 ) 3.006 * * [simplify]: iteration done : 5000 enodes (cost 750 ) 3.006 * [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) 3.007 * * * [progress]: adding candidates to table 3.190 * * [progress]: iteration 3 / 4 3.191 * * * [progress]: picking best candidate 3.196 * * * * [pick]: Picked # 3.196 * * * [progress]: localizing error 3.210 * * * [progress]: generating rewritten candidates 3.210 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 3.214 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1) 3.217 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 3.221 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 3.226 * * * [progress]: generating series expansions 3.226 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 3.226 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.226 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.226 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.226 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.226 * [taylor]: Taking taylor expansion of x in y 3.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.226 * [taylor]: Taking taylor expansion of y in y 3.227 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.227 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.227 * [taylor]: Taking taylor expansion of x in x 3.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.227 * [taylor]: Taking taylor expansion of y in x 3.227 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.227 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.227 * [taylor]: Taking taylor expansion of x in x 3.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.227 * [taylor]: Taking taylor expansion of y in x 3.228 * [taylor]: Taking taylor expansion of y in y 3.228 * [taylor]: Taking taylor expansion of 0 in y 3.229 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.229 * [taylor]: Taking taylor expansion of 1/2 in y 3.229 * [taylor]: Taking taylor expansion of y in y 3.231 * [taylor]: Taking taylor expansion of 0 in y 3.232 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.232 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.232 * [taylor]: Taking taylor expansion of x in y 3.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.232 * [taylor]: Taking taylor expansion of y in y 3.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.235 * [taylor]: Taking taylor expansion of x in x 3.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.235 * [taylor]: Taking taylor expansion of y in x 3.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.237 * [taylor]: Taking taylor expansion of x in x 3.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.238 * [taylor]: Taking taylor expansion of y in x 3.240 * [taylor]: Taking taylor expansion of 1 in y 3.240 * [taylor]: Taking taylor expansion of 0 in y 3.245 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.245 * [taylor]: Taking taylor expansion of 1/2 in y 3.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.245 * [taylor]: Taking taylor expansion of y in y 3.248 * [taylor]: Taking taylor expansion of 0 in y 3.250 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.250 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.250 * [taylor]: Taking taylor expansion of x in y 3.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.250 * [taylor]: Taking taylor expansion of y in y 3.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.252 * [taylor]: Taking taylor expansion of x in x 3.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.253 * [taylor]: Taking taylor expansion of y in x 3.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.255 * [taylor]: Taking taylor expansion of x in x 3.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.255 * [taylor]: Taking taylor expansion of y in x 3.257 * [taylor]: Taking taylor expansion of 1 in y 3.257 * [taylor]: Taking taylor expansion of 0 in y 3.259 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.259 * [taylor]: Taking taylor expansion of 1/2 in y 3.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.259 * [taylor]: Taking taylor expansion of y in y 3.262 * [taylor]: Taking taylor expansion of 0 in y 3.263 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1) 3.264 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.264 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.264 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.264 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.264 * [taylor]: Taking taylor expansion of x in y 3.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.264 * [taylor]: Taking taylor expansion of y in y 3.264 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.264 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.264 * [taylor]: Taking taylor expansion of x in x 3.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.264 * [taylor]: Taking taylor expansion of y in x 3.265 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.265 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.265 * [taylor]: Taking taylor expansion of x in x 3.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.265 * [taylor]: Taking taylor expansion of y in x 3.265 * [taylor]: Taking taylor expansion of y in y 3.265 * [taylor]: Taking taylor expansion of 0 in y 3.267 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.267 * [taylor]: Taking taylor expansion of 1/2 in y 3.267 * [taylor]: Taking taylor expansion of y in y 3.268 * [taylor]: Taking taylor expansion of 0 in y 3.269 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.269 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.269 * [taylor]: Taking taylor expansion of x in y 3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.269 * [taylor]: Taking taylor expansion of y in y 3.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.272 * [taylor]: Taking taylor expansion of x in x 3.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.272 * [taylor]: Taking taylor expansion of y in x 3.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.274 * [taylor]: Taking taylor expansion of x in x 3.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.275 * [taylor]: Taking taylor expansion of y in x 3.277 * [taylor]: Taking taylor expansion of 1 in y 3.277 * [taylor]: Taking taylor expansion of 0 in y 3.279 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.279 * [taylor]: Taking taylor expansion of 1/2 in y 3.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.279 * [taylor]: Taking taylor expansion of y in y 3.282 * [taylor]: Taking taylor expansion of 0 in y 3.283 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.283 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.283 * [taylor]: Taking taylor expansion of x in y 3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.283 * [taylor]: Taking taylor expansion of y in y 3.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.286 * [taylor]: Taking taylor expansion of x in x 3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.286 * [taylor]: Taking taylor expansion of y in x 3.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.288 * [taylor]: Taking taylor expansion of x in x 3.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.289 * [taylor]: Taking taylor expansion of y in x 3.291 * [taylor]: Taking taylor expansion of 1 in y 3.291 * [taylor]: Taking taylor expansion of 0 in y 3.292 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.292 * [taylor]: Taking taylor expansion of 1/2 in y 3.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.293 * [taylor]: Taking taylor expansion of y in y 3.296 * [taylor]: Taking taylor expansion of 0 in y 3.297 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 3.297 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.297 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.297 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.297 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.297 * [taylor]: Taking taylor expansion of x in y 3.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.297 * [taylor]: Taking taylor expansion of y in y 3.297 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.297 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.297 * [taylor]: Taking taylor expansion of x in x 3.298 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.298 * [taylor]: Taking taylor expansion of y in x 3.298 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.298 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.298 * [taylor]: Taking taylor expansion of x in x 3.298 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.298 * [taylor]: Taking taylor expansion of y in x 3.299 * [taylor]: Taking taylor expansion of y in y 3.299 * [taylor]: Taking taylor expansion of 0 in y 3.300 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.300 * [taylor]: Taking taylor expansion of 1/2 in y 3.300 * [taylor]: Taking taylor expansion of y in y 3.302 * [taylor]: Taking taylor expansion of 0 in y 3.303 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.303 * [taylor]: Taking taylor expansion of x in y 3.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.303 * [taylor]: Taking taylor expansion of y in y 3.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.305 * [taylor]: Taking taylor expansion of x in x 3.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.306 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.306 * [taylor]: Taking taylor expansion of y in x 3.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.308 * [taylor]: Taking taylor expansion of x in x 3.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.308 * [taylor]: Taking taylor expansion of y in x 3.310 * [taylor]: Taking taylor expansion of 1 in y 3.310 * [taylor]: Taking taylor expansion of 0 in y 3.312 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.312 * [taylor]: Taking taylor expansion of 1/2 in y 3.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.312 * [taylor]: Taking taylor expansion of y in y 3.315 * [taylor]: Taking taylor expansion of 0 in y 3.316 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.317 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.317 * [taylor]: Taking taylor expansion of x in y 3.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.317 * [taylor]: Taking taylor expansion of y in y 3.319 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.319 * [taylor]: Taking taylor expansion of x in x 3.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.320 * [taylor]: Taking taylor expansion of y in x 3.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.322 * [taylor]: Taking taylor expansion of x in x 3.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.322 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.322 * [taylor]: Taking taylor expansion of y in x 3.329 * [taylor]: Taking taylor expansion of 1 in y 3.329 * [taylor]: Taking taylor expansion of 0 in y 3.331 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.331 * [taylor]: Taking taylor expansion of 1/2 in y 3.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.331 * [taylor]: Taking taylor expansion of y in y 3.334 * [taylor]: Taking taylor expansion of 0 in y 3.335 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 3.335 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.335 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.335 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.335 * [taylor]: Taking taylor expansion of x in y 3.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.335 * [taylor]: Taking taylor expansion of y in y 3.336 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.336 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.336 * [taylor]: Taking taylor expansion of x in x 3.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.336 * [taylor]: Taking taylor expansion of y in x 3.336 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.336 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.336 * [taylor]: Taking taylor expansion of x in x 3.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.336 * [taylor]: Taking taylor expansion of y in x 3.337 * [taylor]: Taking taylor expansion of y in y 3.337 * [taylor]: Taking taylor expansion of 0 in y 3.338 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.338 * [taylor]: Taking taylor expansion of 1/2 in y 3.338 * [taylor]: Taking taylor expansion of y in y 3.340 * [taylor]: Taking taylor expansion of 0 in y 3.341 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.341 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.341 * [taylor]: Taking taylor expansion of x in y 3.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.341 * [taylor]: Taking taylor expansion of y in y 3.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.343 * [taylor]: Taking taylor expansion of x in x 3.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.344 * [taylor]: Taking taylor expansion of y in x 3.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.346 * [taylor]: Taking taylor expansion of x in x 3.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.346 * [taylor]: Taking taylor expansion of y in x 3.348 * [taylor]: Taking taylor expansion of 1 in y 3.348 * [taylor]: Taking taylor expansion of 0 in y 3.350 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.350 * [taylor]: Taking taylor expansion of 1/2 in y 3.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.350 * [taylor]: Taking taylor expansion of y in y 3.353 * [taylor]: Taking taylor expansion of 0 in y 3.355 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.355 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.355 * [taylor]: Taking taylor expansion of x in y 3.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.355 * [taylor]: Taking taylor expansion of y in y 3.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.357 * [taylor]: Taking taylor expansion of x in x 3.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.358 * [taylor]: Taking taylor expansion of y in x 3.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.360 * [taylor]: Taking taylor expansion of x in x 3.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.360 * [taylor]: Taking taylor expansion of y in x 3.362 * [taylor]: Taking taylor expansion of 1 in y 3.362 * [taylor]: Taking taylor expansion of 0 in y 3.364 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.364 * [taylor]: Taking taylor expansion of 1/2 in y 3.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.364 * [taylor]: Taking taylor expansion of y in y 3.367 * [taylor]: Taking taylor expansion of 0 in y 3.368 * * * [progress]: simplifying candidates 3.369 * [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) 3.371 * * [simplify]: iteration 0 : 38 enodes (cost 852 ) 3.377 * * [simplify]: iteration 1 : 91 enodes (cost 744 ) 3.392 * * [simplify]: iteration 2 : 207 enodes (cost 680 ) 3.438 * * [simplify]: iteration 3 : 459 enodes (cost 656 ) 3.551 * * [simplify]: iteration 4 : 1009 enodes (cost 656 ) 4.004 * * [simplify]: iteration 5 : 2577 enodes (cost 656 ) 4.909 * * [simplify]: iteration done : 5000 enodes (cost 656 ) 4.909 * [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) 4.910 * * * [progress]: adding candidates to table 5.163 * * [progress]: iteration 4 / 4 5.163 * * * [progress]: picking best candidate 5.166 * * * * [pick]: Picked # 5.166 * * * [progress]: localizing error 5.166 * * * [progress]: generating rewritten candidates 5.166 * * * [progress]: generating series expansions 5.166 * * * [progress]: simplifying candidates 5.166 * [simplify]: Simplifying using # : 5.167 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 5.167 * * [simplify]: iteration done : 0 enodes (cost 0 ) 5.167 * [simplify]: Simplified to: 5.167 * * * [progress]: adding candidates to table 5.167 * [progress]: [Phase 3 of 3] Extracting. 5.167 * * [regime]: Finding splitpoints for: (# # # # #) 5.168 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 5.168 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 5.189 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 5.205 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 5.225 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 5.240 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # #) 5.260 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 5.271 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # #) 5.295 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# #) 5.309 * * * * [regimes]: Trying to branch on y from (# # # # #) 5.341 * * * * [regimes]: Trying to branch on x from (# # # # #) 5.369 * * * [regime]: Found split indices: #