9.998 * [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. 0.014 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.017 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.018 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.018 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.033 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.044 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.044 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.044 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.045 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.047 * [taylor]: Taking taylor expansion of 1/2 in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of 1 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of 1/2 in y 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of 1 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.073 * [taylor]: Taking taylor expansion of 1/2 in y 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.077 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.077 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 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 0 in y 0.082 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of 1 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.092 * [taylor]: Taking taylor expansion of x 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 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of 1 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.101 * * * [progress]: simplifying candidates 0.102 * [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)) 0.105 * * [simplify]: iteration 0 : 125 enodes (cost 177 ) 0.108 * * [simplify]: iteration 1 : 530 enodes (cost 163 ) 0.116 * * [simplify]: iteration 2 : 1540 enodes (cost 163 ) 0.151 * * [simplify]: iteration 3 : 5001 enodes (cost 162 ) 0.152 * [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 (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.152 * * * [progress]: adding candidates to table 0.216 * * [progress]: iteration 2 / 4 0.216 * * * [progress]: picking best candidate 0.221 * * * * [pick]: Picked # 0.221 * * * [progress]: localizing error 0.234 * * * [progress]: generating rewritten candidates 0.235 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.287 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.322 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.351 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.364 * * * [progress]: generating series expansions 0.364 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.364 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in (y x) around 0 0.364 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x 0.364 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 0.365 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.365 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 0.365 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.365 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of 0 in x 0.369 * [taylor]: Taking taylor expansion of 1 in x 0.372 * [taylor]: Taking taylor expansion of 0 in x 0.376 * [taylor]: Taking taylor expansion of 0 in x 0.377 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (y x) around 0 0.377 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.377 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.378 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.379 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.379 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.380 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.382 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.382 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.382 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.383 * [taylor]: Taking taylor expansion of x in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of 1 in x 0.388 * [taylor]: Taking taylor expansion of 0 in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of 0 in x 0.402 * [taylor]: Taking taylor expansion of 0 in x 0.403 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (y x) around 0 0.403 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.403 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.404 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.406 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.406 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.406 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.408 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.408 * [taylor]: Taking taylor expansion of x in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.408 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.409 * [taylor]: Taking taylor expansion of x in y 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of 1 in x 0.414 * [taylor]: Taking taylor expansion of 0 in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of 0 in x 0.431 * [taylor]: Taking taylor expansion of 0 in x 0.432 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.432 * [approximate]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in (y x) around 0 0.432 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in x 0.432 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x 0.432 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.432 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in y 0.434 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 0.434 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.434 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in y 0.436 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 0.436 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.436 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.436 * [taylor]: Taking taylor expansion of x in y 0.436 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.436 * [taylor]: Taking taylor expansion of x in y 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of 0 in x 0.440 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.440 * [taylor]: Taking taylor expansion of 1/2 in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of 0 in x 0.444 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (y x) around 0 0.444 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.444 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.444 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.445 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.445 * [taylor]: Taking taylor expansion of y in x 0.445 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.445 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.449 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.449 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.449 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.450 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.450 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.450 * [taylor]: Taking taylor expansion of x in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.456 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.456 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.456 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.456 * [taylor]: Taking taylor expansion of x in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.456 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of 1 in x 0.462 * [taylor]: Taking taylor expansion of 0 in x 0.466 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 0.466 * [taylor]: Taking taylor expansion of 1/2 in x 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of 0 in x 0.474 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (y x) around 0 0.474 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.474 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.474 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.474 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.475 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.479 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.479 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.479 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.480 * [taylor]: Taking taylor expansion of x in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.485 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.485 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.486 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.486 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of 1 in x 0.495 * [taylor]: Taking taylor expansion of 0 in x 0.502 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 0.502 * [taylor]: Taking taylor expansion of 1/2 in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of 0 in x 0.513 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.513 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (y x) around 0 0.513 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.513 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.513 * [taylor]: Taking taylor expansion of y in x 0.513 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.513 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.513 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of 0 in x 0.516 * [taylor]: Taking taylor expansion of 0 in x 0.517 * [taylor]: Taking taylor expansion of 0 in x 0.518 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (y x) around 0 0.518 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.518 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.518 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.519 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.519 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.519 * [taylor]: Taking taylor expansion of x in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.519 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.519 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.520 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.520 * [taylor]: Taking taylor expansion of x in y 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.520 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.521 * [taylor]: Taking taylor expansion of -1 in x 0.522 * [taylor]: Taking taylor expansion of 0 in x 0.524 * [taylor]: Taking taylor expansion of 0 in x 0.529 * [taylor]: Taking taylor expansion of 0 in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of 0 in x 0.538 * [taylor]: Taking taylor expansion of 0 in x 0.540 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (y x) around 0 0.540 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.540 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.541 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.541 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.541 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.541 * [taylor]: Taking taylor expansion of x in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.541 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.542 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.542 * [taylor]: Taking taylor expansion of x in y 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.542 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.543 * [taylor]: Taking taylor expansion of -1 in x 0.545 * [taylor]: Taking taylor expansion of 0 in x 0.546 * [taylor]: Taking taylor expansion of 0 in x 0.548 * [taylor]: Taking taylor expansion of 0 in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of 0 in x 0.558 * [taylor]: Taking taylor expansion of 0 in x 0.559 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.559 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.559 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.559 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.559 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.559 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of 0 in y 0.561 * [taylor]: Taking taylor expansion of 1 in y 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.565 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.566 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of 1 in y 0.568 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of 0 in y 0.575 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.576 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.576 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.576 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.576 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of 1 in y 0.579 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of 0 in y 0.586 * [taylor]: Taking taylor expansion of 0 in y 0.587 * * * [progress]: simplifying candidates 0.589 * [simplify]: Simplifying using # : (- (log (+ (* (- (pow y 3)) y) (pow x 4))) (log (- (* x x) (* y y)))) (log (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (exp (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (/ (* (* (+ (* (- (pow y 3)) y) (pow x 4)) (+ (* (- (pow y 3)) y) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (* (* (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (- (+ (* (- (pow y 3)) y) (pow x 4))) (- (- (* x x) (* y 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(pow y 3)) y) (pow x 4)))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (* (* (+ (* (- (pow y 3)) y) (pow x 4)) (+ (* (- (pow y 3)) y) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (+ (pow (* (- (pow y 3)) y) 3) (pow (pow x 4) 3)) (+ (* (* (- (pow y 3)) y) (* (- (pow y 3)) y)) (- (* (pow x 4) (pow x 4)) (* (* (- (pow y 3)) y) (pow x 4)))) (- (* (* (- (pow y 3)) y) (* (- (pow y 3)) y)) (* (pow x 4) (pow x 4))) (- (* (- (pow y 3)) y) (pow x 4)) (/ (exp (* x x)) (exp (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) x y (* -1 y) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.596 * * [simplify]: iteration 0 : 327 enodes (cost 1204 ) 0.602 * * [simplify]: iteration 1 : 1468 enodes (cost 1045 ) 0.632 * * [simplify]: iteration 2 : 5001 enodes (cost 1027 ) 0.637 * [simplify]: Simplified to: (log (/ (/ (- (pow x 4) (pow y 4)) (+ x y)) (- x y))) (log (/ (/ (- (pow x 4) (pow y 4)) (+ x y)) (- x y))) (exp (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (pow (/ (/ (- (pow x 4) (pow y 4)) (+ x y)) (- x y)) 3) (* (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (pow (/ (/ (- (pow x 4) (pow y 4)) (+ x y)) (- x y)) 3) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) 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(pow x 4) (* (* x x) (* y y))) (pow y 4)) (- (* y y)) (- (pow x 4) (pow y 4)) (+ (pow x 2) (pow y 2)) (+ x y) (- x y) (- (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) x y (* -1 y) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 0.637 * * * [progress]: adding candidates to table 0.931 * * [progress]: iteration 3 / 4 0.931 * * * [progress]: picking best candidate 0.934 * * * * [pick]: Picked # 0.934 * * * [progress]: localizing error 0.936 * * * [progress]: generating rewritten candidates 0.936 * * * [progress]: generating series expansions 0.936 * * * [progress]: simplifying candidates 0.936 * [simplify]: Simplifying using # : 0.938 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.938 * [simplify]: Simplified to: 0.938 * * * [progress]: adding candidates to table 0.938 * * [progress]: iteration 4 / 4 0.938 * * * [progress]: picking best candidate 0.940 * * * * [pick]: Picked # 0.940 * * * [progress]: localizing error 0.941 * * * [progress]: generating rewritten candidates 0.941 * * * [progress]: generating series expansions 0.941 * * * [progress]: simplifying candidates 0.941 * [simplify]: Simplifying using # : 0.943 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.943 * [simplify]: Simplified to: 0.943 * * * [progress]: adding candidates to table 0.944 * [progress]: [Phase 3 of 3] Extracting. 0.944 * * [regime]: Finding splitpoints for: (# # # # # #) 0.944 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 0.944 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 0.973 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 0.995 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 1.017 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.031 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # #) 1.058 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # # #) 1.088 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.127 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.156 * * * [regime]: Found split indices: #