5.657 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.020 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.021 * * [simplify]: iteration 1 : 6 enodes (cost 7 ) 0.021 * * [simplify]: iteration done : 6 enodes (cost 7 ) 0.021 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 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 0.031 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [taylor]: Taking taylor expansion of 1 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 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 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.040 * [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 0.040 * [taylor]: Taking taylor expansion of 1 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.050 * [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 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [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 0.052 * [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 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of 1 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.063 * * * [progress]: simplifying candidates 0.063 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.068 * * [simplify]: iteration 0 : 30 enodes (cost 166 ) 0.074 * * [simplify]: iteration 1 : 101 enodes (cost 161 ) 0.108 * * [simplify]: iteration 2 : 374 enodes (cost 131 ) 0.228 * * [simplify]: iteration 3 : 954 enodes (cost 131 ) 0.896 * * [simplify]: iteration 4 : 3900 enodes (cost 131 ) 2.921 * * [simplify]: iteration done : 5001 enodes (cost 131 ) 2.922 * [simplify]: Simplified to: (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 2.922 * * * [progress]: adding candidates to table 2.946 * * [progress]: iteration 2 / 4 2.946 * * * [progress]: picking best candidate 2.950 * * * * [pick]: Picked # 2.950 * * * [progress]: localizing error 2.957 * * * [progress]: generating rewritten candidates 2.957 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.960 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.964 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.987 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.993 * * * [progress]: generating series expansions 2.993 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.993 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 2.993 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.993 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.993 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.993 * [taylor]: Taking taylor expansion of x in y 2.993 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.993 * [taylor]: Taking taylor expansion of y in y 2.994 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.994 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.994 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.994 * [taylor]: Taking taylor expansion of x in x 2.994 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.994 * [taylor]: Taking taylor expansion of y in x 2.995 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.995 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.995 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.995 * [taylor]: Taking taylor expansion of x in x 2.995 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.995 * [taylor]: Taking taylor expansion of y in x 2.996 * [taylor]: Taking taylor expansion of y in y 2.996 * [taylor]: Taking taylor expansion of 0 in y 2.997 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.997 * [taylor]: Taking taylor expansion of 1/2 in y 2.997 * [taylor]: Taking taylor expansion of y in y 3.000 * [taylor]: Taking taylor expansion of 0 in y 3.001 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.001 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.001 * [taylor]: Taking taylor expansion of x in y 3.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.001 * [taylor]: Taking taylor expansion of y in y 3.004 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.004 * [taylor]: Taking taylor expansion of x in x 3.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.004 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.004 * [taylor]: Taking taylor expansion of y in x 3.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.007 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.007 * [taylor]: Taking taylor expansion of x in x 3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.007 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.007 * [taylor]: Taking taylor expansion of y in x 3.010 * [taylor]: Taking taylor expansion of 1 in y 3.010 * [taylor]: Taking taylor expansion of 0 in y 3.012 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.012 * [taylor]: Taking taylor expansion of 1/2 in y 3.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.012 * [taylor]: Taking taylor expansion of y in y 3.016 * [taylor]: Taking taylor expansion of 0 in y 3.018 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.018 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.018 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.018 * [taylor]: Taking taylor expansion of x in y 3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.018 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.018 * [taylor]: Taking taylor expansion of y in y 3.021 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.021 * [taylor]: Taking taylor expansion of x in x 3.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.021 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.021 * [taylor]: Taking taylor expansion of y in x 3.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.024 * [taylor]: Taking taylor expansion of x in x 3.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.024 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.025 * [taylor]: Taking taylor expansion of y in x 3.027 * [taylor]: Taking taylor expansion of 1 in y 3.027 * [taylor]: Taking taylor expansion of 0 in y 3.030 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.030 * [taylor]: Taking taylor expansion of 1/2 in y 3.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.030 * [taylor]: Taking taylor expansion of y in y 3.034 * [taylor]: Taking taylor expansion of 0 in y 3.035 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.036 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.036 * [taylor]: Taking taylor expansion of x in y 3.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.036 * [taylor]: Taking taylor expansion of y in y 3.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.036 * [taylor]: Taking taylor expansion of x in x 3.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.037 * [taylor]: Taking taylor expansion of y in x 3.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.037 * [taylor]: Taking taylor expansion of x in x 3.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.037 * [taylor]: Taking taylor expansion of y in x 3.038 * [taylor]: Taking taylor expansion of y in y 3.038 * [taylor]: Taking taylor expansion of 0 in y 3.039 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.039 * [taylor]: Taking taylor expansion of 1/2 in y 3.039 * [taylor]: Taking taylor expansion of y in y 3.042 * [taylor]: Taking taylor expansion of 0 in y 3.043 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.043 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.043 * [taylor]: Taking taylor expansion of x in y 3.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.043 * [taylor]: Taking taylor expansion of y in y 3.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.046 * [taylor]: Taking taylor expansion of x in x 3.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.046 * [taylor]: Taking taylor expansion of y in x 3.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.049 * [taylor]: Taking taylor expansion of x in x 3.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.049 * [taylor]: Taking taylor expansion of y in x 3.052 * [taylor]: Taking taylor expansion of 1 in y 3.052 * [taylor]: Taking taylor expansion of 0 in y 3.054 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.054 * [taylor]: Taking taylor expansion of 1/2 in y 3.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.054 * [taylor]: Taking taylor expansion of y in y 3.058 * [taylor]: Taking taylor expansion of 0 in y 3.059 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.059 * [taylor]: Taking taylor expansion of x in y 3.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.060 * [taylor]: Taking taylor expansion of y in y 3.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.066 * [taylor]: Taking taylor expansion of x in x 3.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.066 * [taylor]: Taking taylor expansion of y in x 3.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.069 * [taylor]: Taking taylor expansion of x in x 3.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.070 * [taylor]: Taking taylor expansion of y in x 3.072 * [taylor]: Taking taylor expansion of 1 in y 3.072 * [taylor]: Taking taylor expansion of 0 in y 3.074 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.074 * [taylor]: Taking taylor expansion of 1/2 in y 3.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.074 * [taylor]: Taking taylor expansion of y in y 3.079 * [taylor]: Taking taylor expansion of 0 in y 3.080 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.080 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 3.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.080 * [taylor]: Taking taylor expansion of x in y 3.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.080 * [taylor]: Taking taylor expansion of y in y 3.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.080 * [taylor]: Taking taylor expansion of x in x 3.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.080 * [taylor]: Taking taylor expansion of y in x 3.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.081 * [taylor]: Taking taylor expansion of x in x 3.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.081 * [taylor]: Taking taylor expansion of y in x 3.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.081 * [taylor]: Taking taylor expansion of y in y 3.081 * [taylor]: Taking taylor expansion of 0 in y 3.082 * [taylor]: Taking taylor expansion of 1 in y 3.084 * [taylor]: Taking taylor expansion of 0 in y 3.086 * [taylor]: Taking taylor expansion of 0 in y 3.087 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.087 * [taylor]: Taking taylor expansion of x in y 3.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.087 * [taylor]: Taking taylor expansion of y in y 3.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.088 * [taylor]: Taking taylor expansion of x in x 3.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.088 * [taylor]: Taking taylor expansion of y in x 3.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.089 * [taylor]: Taking taylor expansion of x in x 3.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.089 * [taylor]: Taking taylor expansion of y in x 3.090 * [taylor]: Taking taylor expansion of 1 in y 3.091 * [taylor]: Taking taylor expansion of 0 in y 3.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.092 * [taylor]: Taking taylor expansion of y in y 3.095 * [taylor]: Taking taylor expansion of 0 in y 3.098 * [taylor]: Taking taylor expansion of 0 in y 3.100 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.100 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.100 * [taylor]: Taking taylor expansion of x in y 3.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.100 * [taylor]: Taking taylor expansion of y in y 3.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.101 * [taylor]: Taking taylor expansion of x in x 3.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.101 * [taylor]: Taking taylor expansion of y in x 3.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.102 * [taylor]: Taking taylor expansion of x in x 3.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.102 * [taylor]: Taking taylor expansion of y in x 3.103 * [taylor]: Taking taylor expansion of 1 in y 3.104 * [taylor]: Taking taylor expansion of 0 in y 3.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.105 * [taylor]: Taking taylor expansion of y in y 3.108 * [taylor]: Taking taylor expansion of 0 in y 3.111 * [taylor]: Taking taylor expansion of 0 in y 3.112 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.113 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 3.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.113 * [taylor]: Taking taylor expansion of x in y 3.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.113 * [taylor]: Taking taylor expansion of y in y 3.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.113 * [taylor]: Taking taylor expansion of x in x 3.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.113 * [taylor]: Taking taylor expansion of y in x 3.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.113 * [taylor]: Taking taylor expansion of x in x 3.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.113 * [taylor]: Taking taylor expansion of y in x 3.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.113 * [taylor]: Taking taylor expansion of y in y 3.114 * [taylor]: Taking taylor expansion of 0 in y 3.115 * [taylor]: Taking taylor expansion of 1 in y 3.116 * [taylor]: Taking taylor expansion of 0 in y 3.118 * [taylor]: Taking taylor expansion of 0 in y 3.119 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.119 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.119 * [taylor]: Taking taylor expansion of x in y 3.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.119 * [taylor]: Taking taylor expansion of y in y 3.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.120 * [taylor]: Taking taylor expansion of x in x 3.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.120 * [taylor]: Taking taylor expansion of y in x 3.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.121 * [taylor]: Taking taylor expansion of x in x 3.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.121 * [taylor]: Taking taylor expansion of y in x 3.122 * [taylor]: Taking taylor expansion of 1 in y 3.123 * [taylor]: Taking taylor expansion of 0 in y 3.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.124 * [taylor]: Taking taylor expansion of y in y 3.127 * [taylor]: Taking taylor expansion of 0 in y 3.130 * [taylor]: Taking taylor expansion of 0 in y 3.132 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.132 * [taylor]: Taking taylor expansion of x in y 3.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.132 * [taylor]: Taking taylor expansion of y in y 3.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.133 * [taylor]: Taking taylor expansion of x in x 3.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.133 * [taylor]: Taking taylor expansion of y in x 3.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.134 * [taylor]: Taking taylor expansion of x in x 3.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.134 * [taylor]: Taking taylor expansion of y in x 3.135 * [taylor]: Taking taylor expansion of 1 in y 3.136 * [taylor]: Taking taylor expansion of 0 in y 3.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.138 * [taylor]: Taking taylor expansion of y in y 3.140 * [taylor]: Taking taylor expansion of 0 in y 3.143 * [taylor]: Taking taylor expansion of 0 in y 3.145 * * * [progress]: simplifying candidates 3.146 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ 1 1) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y))))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (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 (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (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)) (* (* x x) (* y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (- (* x x) (* y y))) (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) (* x x)) (* (* y y) (* y y))))) (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 1 1) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) 1) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (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) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 3.151 * * [simplify]: iteration 0 : 92 enodes (cost 1982 ) 3.177 * * [simplify]: iteration 1 : 193 enodes (cost 1397 ) 3.230 * * [simplify]: iteration 2 : 701 enodes (cost 1189 ) 4.046 * * [simplify]: iteration 3 : 4025 enodes (cost 1153 ) 6.414 * * [simplify]: iteration done : 5000 enodes (cost 1153 ) 6.415 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 1 2 1 1 (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) 2 (log (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y)))) (- (pow x 4) (pow y 4)) (- (pow x 2) (* y y)) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 2 1 (* (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (cbrt (sqrt (+ (* x x) (* y y))))) (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 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 y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (- (pow x 2) (* y y)) y x (- x) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 6.416 * * * [progress]: adding candidates to table 6.609 * * [progress]: iteration 3 / 4 6.609 * * * [progress]: picking best candidate 6.611 * * * * [pick]: Picked # 6.611 * * * [progress]: localizing error 6.620 * * * [progress]: generating rewritten candidates 6.621 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.624 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 6.628 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 6.632 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 6.665 * * * [progress]: generating series expansions 6.666 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.666 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 6.666 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 6.666 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 6.666 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.666 * [taylor]: Taking taylor expansion of x in y 6.666 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.666 * [taylor]: Taking taylor expansion of y in y 6.667 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 6.667 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.667 * [taylor]: Taking taylor expansion of x in x 6.667 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.667 * [taylor]: Taking taylor expansion of y in x 6.668 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 6.668 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.668 * [taylor]: Taking taylor expansion of x in x 6.668 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.668 * [taylor]: Taking taylor expansion of y in x 6.668 * [taylor]: Taking taylor expansion of y in y 6.669 * [taylor]: Taking taylor expansion of 0 in y 6.670 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 6.670 * [taylor]: Taking taylor expansion of 1/2 in y 6.670 * [taylor]: Taking taylor expansion of y in y 6.672 * [taylor]: Taking taylor expansion of 0 in y 6.673 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 6.673 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 6.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.673 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.673 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.673 * [taylor]: Taking taylor expansion of x in y 6.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.673 * [taylor]: Taking taylor expansion of y in y 6.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.676 * [taylor]: Taking taylor expansion of x in x 6.677 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.677 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.677 * [taylor]: Taking taylor expansion of y in x 6.679 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.680 * [taylor]: Taking taylor expansion of x in x 6.680 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.680 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.680 * [taylor]: Taking taylor expansion of y in x 6.682 * [taylor]: Taking taylor expansion of 1 in y 6.683 * [taylor]: Taking taylor expansion of 0 in y 6.685 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 6.685 * [taylor]: Taking taylor expansion of 1/2 in y 6.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.685 * [taylor]: Taking taylor expansion of y in y 6.689 * [taylor]: Taking taylor expansion of 0 in y 6.691 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 6.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 6.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.691 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.691 * [taylor]: Taking taylor expansion of x in y 6.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.691 * [taylor]: Taking taylor expansion of y in y 6.694 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.694 * [taylor]: Taking taylor expansion of x in x 6.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.695 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.695 * [taylor]: Taking taylor expansion of y in x 6.697 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.697 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.697 * [taylor]: Taking taylor expansion of x in x 6.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.697 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.698 * [taylor]: Taking taylor expansion of y in x 6.700 * [taylor]: Taking taylor expansion of 1 in y 6.700 * [taylor]: Taking taylor expansion of 0 in y 6.702 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 6.702 * [taylor]: Taking taylor expansion of 1/2 in y 6.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.702 * [taylor]: Taking taylor expansion of y in y 6.706 * [taylor]: Taking taylor expansion of 0 in y 6.707 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 6.708 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 6.708 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 6.708 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 6.708 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.708 * [taylor]: Taking taylor expansion of x in y 6.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.708 * [taylor]: Taking taylor expansion of y in y 6.708 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 6.708 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.708 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.709 * [taylor]: Taking taylor expansion of x in x 6.709 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.709 * [taylor]: Taking taylor expansion of y in x 6.709 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 6.709 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.709 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.709 * [taylor]: Taking taylor expansion of x in x 6.709 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.709 * [taylor]: Taking taylor expansion of y in x 6.710 * [taylor]: Taking taylor expansion of y in y 6.710 * [taylor]: Taking taylor expansion of 0 in y 6.711 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 6.711 * [taylor]: Taking taylor expansion of 1/2 in y 6.712 * [taylor]: Taking taylor expansion of y in y 6.714 * [taylor]: Taking taylor expansion of 0 in y 6.715 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 6.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 6.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.715 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.715 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.715 * [taylor]: Taking taylor expansion of x in y 6.715 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.715 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.715 * [taylor]: Taking taylor expansion of y in y 6.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.718 * [taylor]: Taking taylor expansion of x in x 6.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.718 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.718 * [taylor]: Taking taylor expansion of y in x 6.721 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.721 * [taylor]: Taking taylor expansion of x in x 6.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.721 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.721 * [taylor]: Taking taylor expansion of y in x 6.724 * [taylor]: Taking taylor expansion of 1 in y 6.724 * [taylor]: Taking taylor expansion of 0 in y 6.726 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 6.726 * [taylor]: Taking taylor expansion of 1/2 in y 6.726 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.726 * [taylor]: Taking taylor expansion of y in y 6.730 * [taylor]: Taking taylor expansion of 0 in y 6.731 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 6.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 6.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.732 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.732 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.732 * [taylor]: Taking taylor expansion of x in y 6.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.732 * [taylor]: Taking taylor expansion of y in y 6.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.735 * [taylor]: Taking taylor expansion of x in x 6.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.735 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.735 * [taylor]: Taking taylor expansion of y in x 6.737 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.738 * [taylor]: Taking taylor expansion of x in x 6.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.738 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.738 * [taylor]: Taking taylor expansion of y in x 6.744 * [taylor]: Taking taylor expansion of 1 in y 6.744 * [taylor]: Taking taylor expansion of 0 in y 6.747 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 6.747 * [taylor]: Taking taylor expansion of 1/2 in y 6.747 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.747 * [taylor]: Taking taylor expansion of y in y 6.751 * [taylor]: Taking taylor expansion of 0 in y 6.752 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 6.752 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 6.752 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 6.752 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 6.752 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.752 * [taylor]: Taking taylor expansion of x in y 6.752 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.752 * [taylor]: Taking taylor expansion of y in y 6.753 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 6.753 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.753 * [taylor]: Taking taylor expansion of x in x 6.753 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.753 * [taylor]: Taking taylor expansion of y in x 6.754 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 6.754 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.754 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.754 * [taylor]: Taking taylor expansion of x in x 6.754 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.754 * [taylor]: Taking taylor expansion of y in x 6.755 * [taylor]: Taking taylor expansion of y in y 6.755 * [taylor]: Taking taylor expansion of 0 in y 6.756 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 6.756 * [taylor]: Taking taylor expansion of 1/2 in y 6.756 * [taylor]: Taking taylor expansion of y in y 6.758 * [taylor]: Taking taylor expansion of 0 in y 6.759 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 6.759 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 6.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.759 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.759 * [taylor]: Taking taylor expansion of x in y 6.760 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.760 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.760 * [taylor]: Taking taylor expansion of y in y 6.762 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.762 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.762 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.762 * [taylor]: Taking taylor expansion of x in x 6.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.763 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.763 * [taylor]: Taking taylor expansion of y in x 6.765 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.765 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.765 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.765 * [taylor]: Taking taylor expansion of x in x 6.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.766 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.766 * [taylor]: Taking taylor expansion of y in x 6.768 * [taylor]: Taking taylor expansion of 1 in y 6.768 * [taylor]: Taking taylor expansion of 0 in y 6.771 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 6.771 * [taylor]: Taking taylor expansion of 1/2 in y 6.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.771 * [taylor]: Taking taylor expansion of y in y 6.774 * [taylor]: Taking taylor expansion of 0 in y 6.776 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 6.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 6.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.776 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.776 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.776 * [taylor]: Taking taylor expansion of x in y 6.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.776 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.776 * [taylor]: Taking taylor expansion of y in y 6.779 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.779 * [taylor]: Taking taylor expansion of x in x 6.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.780 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.780 * [taylor]: Taking taylor expansion of y in x 6.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.782 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.782 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.782 * [taylor]: Taking taylor expansion of x in x 6.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.783 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.783 * [taylor]: Taking taylor expansion of y in x 6.785 * [taylor]: Taking taylor expansion of 1 in y 6.785 * [taylor]: Taking taylor expansion of 0 in y 6.788 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 6.788 * [taylor]: Taking taylor expansion of 1/2 in y 6.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.788 * [taylor]: Taking taylor expansion of y in y 6.791 * [taylor]: Taking taylor expansion of 0 in y 6.793 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 6.793 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 6.793 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 6.793 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 6.793 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.793 * [taylor]: Taking taylor expansion of x in y 6.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.793 * [taylor]: Taking taylor expansion of y in y 6.794 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 6.794 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.794 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.794 * [taylor]: Taking taylor expansion of x in x 6.794 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.794 * [taylor]: Taking taylor expansion of y in x 6.795 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 6.795 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.795 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.795 * [taylor]: Taking taylor expansion of x in x 6.795 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.795 * [taylor]: Taking taylor expansion of y in x 6.795 * [taylor]: Taking taylor expansion of y in y 6.795 * [taylor]: Taking taylor expansion of 0 in y 6.797 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 6.797 * [taylor]: Taking taylor expansion of 1/2 in y 6.797 * [taylor]: Taking taylor expansion of y in y 6.799 * [taylor]: Taking taylor expansion of 0 in y 6.800 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 6.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 6.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.800 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.801 * [taylor]: Taking taylor expansion of x in y 6.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.801 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.801 * [taylor]: Taking taylor expansion of y in y 6.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.804 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.804 * [taylor]: Taking taylor expansion of x in x 6.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.805 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.805 * [taylor]: Taking taylor expansion of y in x 6.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.807 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.807 * [taylor]: Taking taylor expansion of x in x 6.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.808 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.808 * [taylor]: Taking taylor expansion of y in x 6.810 * [taylor]: Taking taylor expansion of 1 in y 6.810 * [taylor]: Taking taylor expansion of 0 in y 6.812 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 6.812 * [taylor]: Taking taylor expansion of 1/2 in y 6.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.812 * [taylor]: Taking taylor expansion of y in y 6.816 * [taylor]: Taking taylor expansion of 0 in y 6.818 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 6.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 6.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.818 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.818 * [taylor]: Taking taylor expansion of x in y 6.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.818 * [taylor]: Taking taylor expansion of y in y 6.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.821 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.821 * [taylor]: Taking taylor expansion of x in x 6.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.821 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.821 * [taylor]: Taking taylor expansion of y in x 6.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.824 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.824 * [taylor]: Taking taylor expansion of x in x 6.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.824 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.824 * [taylor]: Taking taylor expansion of y in x 6.827 * [taylor]: Taking taylor expansion of 1 in y 6.827 * [taylor]: Taking taylor expansion of 0 in y 6.829 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 6.829 * [taylor]: Taking taylor expansion of 1/2 in y 6.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.830 * [taylor]: Taking taylor expansion of y in y 6.833 * [taylor]: Taking taylor expansion of 0 in y 6.835 * * * [progress]: simplifying candidates 6.836 * [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 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(* y y))))) (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (+ (* x x) (* y y))) (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (pow y 6) (pow x 6))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (pow x 4) (pow y 4))))) (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (pow y 6) (pow x 6))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (pow x 4) (pow y 4))))) y x (- x) y x (- x) y x (- x) y x (- x) 9.573 * * * [progress]: adding candidates to table 9.846 * [progress]: [Phase 3 of 3] Extracting. 9.846 * * [regime]: Finding splitpoints for: (# #) 9.846 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 9.846 * * * * [regimes]: Trying to branch on (* y y) from (# #) 9.857 * * * * [regimes]: Trying to branch on (* x x) from (# #) 9.868 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 9.880 * * * * [regimes]: Trying to branch on y from (# #) 9.893 * * * * [regimes]: Trying to branch on x from (# #) 9.905 * * * [regime]: Found split indices: #