19.588 * [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))) 0.015 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.017 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.017 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.028 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.031 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.031 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.034 * [taylor]: Taking taylor expansion of 1/2 in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [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 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 1 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of 1/2 in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.051 * [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 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of 1 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.064 * [taylor]: Taking taylor expansion of 1/2 in y 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.068 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.068 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of 1 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of 1 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.095 * * * [progress]: simplifying candidates 0.096 * [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 : 125 enodes (cost 177 ) 0.105 * * [simplify]: iteration 1 : 530 enodes (cost 163 ) 0.118 * * [simplify]: iteration 2 : 1540 enodes (cost 163 ) 0.167 * * [simplify]: iteration 3 : 5001 enodes (cost 162 ) 0.168 * [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)) 0.168 * * * [progress]: adding candidates to table 0.245 * * [progress]: iteration 2 / 4 0.245 * * * [progress]: picking best candidate 0.253 * * * * [pick]: Picked # 0.253 * * * [progress]: localizing error 0.258 * * * [progress]: generating rewritten candidates 0.258 * * * [progress]: generating series expansions 0.258 * * * [progress]: simplifying candidates 0.259 * [simplify]: Simplifying using # : 0.261 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.261 * [simplify]: Simplified to: 0.261 * * * [progress]: adding candidates to table 0.261 * * [progress]: iteration 3 / 4 0.261 * * * [progress]: picking best candidate 0.266 * * * * [pick]: Picked # 0.266 * * * [progress]: localizing error 0.279 * * * [progress]: generating rewritten candidates 0.279 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.305 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.324 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.332 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.339 * * * [progress]: generating series expansions 0.339 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.339 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in (y x) around 0 0.339 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x 0.339 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 0.340 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.340 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 0.341 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.341 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.341 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.341 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 0 in x 0.344 * [taylor]: Taking taylor expansion of 1 in x 0.348 * [taylor]: Taking taylor expansion of 0 in x 0.352 * [taylor]: Taking taylor expansion of 0 in x 0.353 * [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 0.353 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.354 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.356 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.356 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.356 * [taylor]: Taking taylor expansion of x in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.356 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.358 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.358 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.359 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.359 * [taylor]: Taking taylor expansion of x in y 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of 1 in x 0.364 * [taylor]: Taking taylor expansion of 0 in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of 0 in x 0.379 * [taylor]: Taking taylor expansion of 0 in x 0.381 * [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 0.381 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.381 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.382 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.384 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.384 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.384 * [taylor]: Taking taylor expansion of x in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.384 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.385 * [taylor]: Taking taylor expansion of x in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.386 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.386 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.387 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.388 * [taylor]: Taking taylor expansion of x in y 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of 1 in x 0.393 * [taylor]: Taking taylor expansion of 0 in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of 0 in x 0.408 * [taylor]: Taking taylor expansion of 0 in x 0.409 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.409 * [approximate]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in (y x) around 0 0.409 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in x 0.409 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x 0.409 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in y 0.412 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 0.412 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.412 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.412 * [taylor]: Taking taylor expansion of x in y 0.412 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.412 * [taylor]: Taking taylor expansion of x in y 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in y 0.413 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 0.413 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.413 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of 0 in x 0.417 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.417 * [taylor]: Taking taylor expansion of 1/2 in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of 0 in x 0.425 * [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 0.425 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.425 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.425 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.425 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.425 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.430 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.430 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.430 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.430 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.430 * [taylor]: Taking taylor expansion of x in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.431 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.437 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.437 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.437 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.437 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.438 * [taylor]: Taking taylor expansion of x in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.444 * [taylor]: Taking taylor expansion of 1 in x 0.444 * [taylor]: Taking taylor expansion of 0 in x 0.449 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 0.449 * [taylor]: Taking taylor expansion of 1/2 in x 0.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of 0 in x 0.457 * [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 0.457 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.457 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.457 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.457 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.457 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.457 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.462 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.462 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.463 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.463 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.463 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.469 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.469 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.469 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.469 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of 1 in x 0.476 * [taylor]: Taking taylor expansion of 0 in x 0.480 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 0.480 * [taylor]: Taking taylor expansion of 1/2 in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of 0 in x 0.488 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.488 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (y x) around 0 0.488 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.488 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.488 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of 0 in x 0.490 * [taylor]: Taking taylor expansion of 0 in x 0.492 * [taylor]: Taking taylor expansion of 0 in x 0.492 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (y x) around 0 0.492 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.493 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.493 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.493 * [taylor]: Taking taylor expansion of x in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.493 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.494 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.494 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of -1 in x 0.497 * [taylor]: Taking taylor expansion of 0 in x 0.499 * [taylor]: Taking taylor expansion of 0 in x 0.501 * [taylor]: Taking taylor expansion of 0 in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of 0 in x 0.513 * [taylor]: Taking taylor expansion of 0 in x 0.515 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (y x) around 0 0.515 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.515 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.516 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.516 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.516 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.517 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.517 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.517 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.517 * [taylor]: Taking taylor expansion of x in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.518 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.519 * [taylor]: Taking taylor expansion of -1 in x 0.521 * [taylor]: Taking taylor expansion of 0 in x 0.522 * [taylor]: Taking taylor expansion of 0 in x 0.524 * [taylor]: Taking taylor expansion of 0 in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.527 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of 0 in x 0.534 * [taylor]: Taking taylor expansion of 0 in x 0.536 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.536 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.536 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.536 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.536 * [taylor]: Taking taylor expansion of x in y 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.536 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.536 * [taylor]: Taking taylor expansion of y in x 0.536 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.536 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.536 * [taylor]: Taking taylor expansion of y in x 0.537 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.538 * [taylor]: Taking taylor expansion of 1 in y 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.543 * [taylor]: Taking taylor expansion of 0 in y 0.543 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.543 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.543 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.543 * [taylor]: Taking taylor expansion of x in y 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.544 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.545 * [taylor]: Taking taylor expansion of y in x 0.545 * [taylor]: Taking taylor expansion of 1 in y 0.546 * [taylor]: Taking taylor expansion of 0 in y 0.548 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.555 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.555 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.555 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.555 * [taylor]: Taking taylor expansion of x in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.555 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.556 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.557 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.557 * [taylor]: Taking taylor expansion of y in x 0.557 * [taylor]: Taking taylor expansion of 1 in y 0.558 * [taylor]: Taking taylor expansion of 0 in y 0.559 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.566 * * * [progress]: simplifying candidates 0.568 * [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 (/ (+ (* 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y))))) (sqrt (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) 1)) (sqrt (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (- (* x x) (* y y)))) (sqrt (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (+ x y))) (sqrt (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (- x y))) (sqrt (/ 1 (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (cbrt (- (* x x) (* y y))))) (sqrt (/ 1 (sqrt (- (* x x) (* y y))))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (sqrt (- (* x x) (* y y))))) (sqrt (/ 1 1)) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (sqrt (/ 1 (+ x y))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- x y))) (sqrt 1) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (/ 1 (- (* x x) (* y y)))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (sqrt (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (* (exp (* (- (pow y 3)) y)) (exp (pow x 4))) (log (+ (* (- (pow y 3)) y) (pow x 4))) (exp (+ (* (- (pow y 3)) y) (pow x 4))) (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (* (* (+ (* (- (pow y 3)) y) (pow x 4)) (+ (* (- (pow y 3)) y) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (+ (pow (* (- (pow y 3)) y) 3) (pow (pow x 4) 3)) (+ (* (* (- (pow y 3)) y) (* (- (pow y 3)) y)) (- (* (pow x 4) (pow x 4)) (* (* (- (pow y 3)) y) (pow x 4)))) (- (* (* (- (pow y 3)) y) (* (- (pow y 3)) y)) (* (pow x 4) (pow x 4))) (- (* (- (pow y 3)) y) (pow x 4)) (/ (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)) 0.575 * * [simplify]: iteration 0 : 327 enodes (cost 1204 ) 0.581 * * [simplify]: iteration 1 : 1468 enodes (cost 1045 ) 0.617 * * [simplify]: iteration 2 : 5001 enodes (cost 1027 ) 0.625 * [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)))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (- (pow y 4) (pow x 4)) (- (- (* x x) (* y y))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (- (* x x) (* y y)))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (sqrt (- (* x x) (* y y)))) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* 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(pow y 3)) y) (pow x 4))) (+ (pow (* (- (pow y 3)) y) 3) (pow (pow x 4) 3)) (+ (pow x 8) (+ (* (pow y 4) (pow x 4)) (* (pow y 4) (pow y 4)))) (- (+ (- (pow y 8)) (pow x 8))) (- (+ (pow y 4) (pow x 4))) (exp (- (* x x) (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (pow (- (* x x) (* y y)) 3) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (+ (pow x 4) (* (* x x) (* y y))) (pow y 4)) (- (* y y)) (- (pow x 4) (pow y 4)) (+ (pow x 2) (pow y 2)) (+ x y) (- x y) (- (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 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)) 0.626 * * * [progress]: adding candidates to table 0.947 * * [progress]: iteration 4 / 4 0.947 * * * [progress]: picking best candidate 0.949 * * * * [pick]: Picked # 0.949 * * * [progress]: localizing error 0.950 * * * [progress]: generating rewritten candidates 0.950 * * * [progress]: generating series expansions 0.950 * * * [progress]: simplifying candidates 0.950 * [simplify]: Simplifying using # : 0.953 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.953 * [simplify]: Simplified to: 0.953 * * * [progress]: adding candidates to table 0.953 * [progress]: [Phase 3 of 3] Extracting. 0.953 * * [regime]: Finding splitpoints for: (# # # # # #) 0.953 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 0.953 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 0.974 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 0.988 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 1.010 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.024 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # #) 1.051 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # # #) 1.081 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.136 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.171 * * * [regime]: Found split indices: #