21.646 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.020 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.021 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.021 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.032 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.037 * [taylor]: Taking taylor expansion of 1/2 in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [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 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 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 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 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 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of 1 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of 1/2 in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.040 * [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 0.040 * [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 0.040 * [taylor]: Taking taylor expansion of 1 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of 1/2 in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.041 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.041 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 1 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [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 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [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 0.043 * [taylor]: Taking taylor expansion of 1 in y 0.043 * [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 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 1 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * * * [progress]: simplifying candidates 0.047 * [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)) 0.050 * * [simplify]: iteration 0 : 125 enodes (cost 177 ) 0.052 * * [simplify]: iteration 1 : 530 enodes (cost 163 ) 0.060 * * [simplify]: iteration 2 : 1540 enodes (cost 163 ) 0.092 * * [simplify]: iteration 3 : 5001 enodes (cost 162 ) 0.094 * [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))) (+ (* (neg (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)) 0.094 * * * [progress]: adding candidates to table 0.133 * * [progress]: iteration 2 / 4 0.133 * * * [progress]: picking best candidate 0.141 * * * * [pick]: Picked # 0.141 * * * [progress]: localizing error 0.151 * * * [progress]: generating rewritten candidates 0.151 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.154 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.159 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 0.164 * * * [progress]: generating series expansions 0.164 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.164 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.164 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.164 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.164 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.165 * [taylor]: Taking taylor expansion of 1/2 in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of 1 in y 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.167 * [taylor]: Taking taylor expansion of 1/2 in y 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of 1 in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.169 * [taylor]: Taking taylor expansion of 1/2 in y 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.169 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.169 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.169 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.169 * [taylor]: Taking taylor expansion of x in y 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.170 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.170 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.171 * [taylor]: Taking taylor expansion of 1/2 in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of 1 in y 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.172 * [taylor]: Taking taylor expansion of 1/2 in y 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.173 * [taylor]: Taking taylor expansion of x in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of 1 in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.174 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.174 * [taylor]: Taking taylor expansion of 1/2 in y 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 0.175 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.175 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.175 * [taylor]: Taking taylor expansion of x in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of 1 in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of 1 in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of 1 in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.180 * * * [progress]: simplifying candidates 0.181 * [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 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (exp (sqrt (log (sqrt (+ (* x x) (* y y)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (exp (log (cbrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (exp (log (sqrt (cbrt (+ (* x x) (* y y)))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log 1)) (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (exp (log (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (exp (log (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (exp (log (sqrt (- (* x x) (* y y))))) (log (exp (log (sqrt (+ (* x x) (* y y)))))) (exp (exp (log (sqrt (+ (* x x) (* y y)))))) (* (cbrt (exp (log (sqrt (+ (* x x) (* y y)))))) (cbrt (exp (log (sqrt (+ (* x x) (* y y))))))) (cbrt (exp (log (sqrt (+ (* x x) (* y y)))))) (* (* (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (+ (* x x) (* y y)))))) (sqrt (exp (log (sqrt (+ (* x x) (* y y)))))) (sqrt (exp (log (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)) 0.184 * * [simplify]: iteration 0 : 172 enodes (cost 330 ) 0.187 * * [simplify]: iteration 1 : 601 enodes (cost 313 ) 0.195 * * [simplify]: iteration 2 : 1676 enodes (cost 304 ) 0.229 * * [simplify]: iteration 3 : 5001 enodes (cost 296 ) 0.231 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (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 1/2) E (exp 1/2) (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (exp (sqrt (log (sqrt (+ (* x x) (* y y)))))) E (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* x x) (* y y)))) (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 (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))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (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))) (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.232 * * * [progress]: adding candidates to table 0.290 * * [progress]: iteration 3 / 4 0.290 * * * [progress]: picking best candidate 0.305 * * * * [pick]: Picked # 0.305 * * * [progress]: localizing error 0.325 * * * [progress]: generating rewritten candidates 0.325 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.329 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1) 0.332 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 0.336 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.341 * * * [progress]: generating series expansions 0.341 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.341 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) 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 (sqrt (+ (pow x 2) (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.342 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.342 * [taylor]: Taking taylor expansion of 1/2 in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of 1 in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of 1/2 in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of 1 in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of 1/2 in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.347 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1) 0.347 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.347 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.347 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.347 * [taylor]: Taking taylor expansion of x in y 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.347 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.347 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.348 * [taylor]: Taking taylor expansion of 1/2 in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of 1 in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of 1/2 in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of 1 in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.352 * [taylor]: Taking taylor expansion of 1/2 in y 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 0.353 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.353 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.353 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.353 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.354 * [taylor]: Taking taylor expansion of 1/2 in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.354 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [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 in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.356 * [taylor]: Taking taylor expansion of 1/2 in y 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 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 0.356 * [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 0.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of 1 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.358 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.358 * [taylor]: Taking taylor expansion of 1/2 in y 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.358 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.359 * [approximate]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3)) in (x y) around 0 0.359 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3)) in y 0.359 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3))))) in y 0.359 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)))) in y 0.359 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) in y 0.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2))))))) in y 0.359 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2)))))) in y 0.359 * [taylor]: Taking taylor expansion of 1/3 in y 0.359 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow x 2) (pow y 2))))) in y 0.359 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in y 0.359 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.359 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3))) in y 0.359 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) in y 0.359 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3) in y 0.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)))) in y 0.359 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2))) in y 0.359 * [taylor]: Taking taylor expansion of 1/3 in y 0.359 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) in y 0.359 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in y 0.359 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.359 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3)) in x 0.360 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3))))) in x 0.360 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)))) in x 0.360 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) in x 0.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2))))))) in x 0.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2)))))) in x 0.360 * [taylor]: Taking taylor expansion of 1/3 in x 0.360 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow x 2) (pow y 2))))) in x 0.360 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in x 0.360 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3))) in x 0.361 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) in x 0.361 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3) in x 0.361 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)))) in x 0.361 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2))) in x 0.361 * [taylor]: Taking taylor expansion of 1/3 in x 0.361 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) in x 0.361 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in x 0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.361 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3)) in x 0.362 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3))))) in x 0.362 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)))) in x 0.362 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) in x 0.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2))))))) in x 0.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2)))))) in x 0.362 * [taylor]: Taking taylor expansion of 1/3 in x 0.362 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow x 2) (pow y 2))))) in x 0.362 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in x 0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.362 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.362 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3))) in x 0.362 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) in x 0.362 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3) in x 0.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)))) in x 0.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2))) in x 0.362 * [taylor]: Taking taylor expansion of 1/3 in x 0.362 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) in x 0.362 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in x 0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.362 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.362 * [taylor]: Taking taylor expansion of y in x 0.363 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.368 * [taylor]: Taking taylor expansion of 1/2 in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [approximate]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3)) in (x y) around 0 0.373 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3)) in y 0.373 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))))) in y 0.373 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)))) in y 0.373 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in y 0.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in y 0.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in y 0.373 * [taylor]: Taking taylor expansion of 1/3 in y 0.373 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.373 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in y 0.374 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in y 0.374 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in y 0.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in y 0.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in y 0.374 * [taylor]: Taking taylor expansion of 1/3 in y 0.374 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in y 0.374 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3)) in x 0.375 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))))) in x 0.375 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)))) in x 0.375 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in x 0.375 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in x 0.375 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.375 * [taylor]: Taking taylor expansion of 1/3 in x 0.375 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.375 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in x 0.376 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in x 0.376 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in x 0.376 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in x 0.376 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in x 0.376 * [taylor]: Taking taylor expansion of 1/3 in x 0.376 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in x 0.376 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in x 0.376 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3)) in x 0.377 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))))) in x 0.377 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)))) in x 0.377 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in x 0.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in x 0.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.377 * [taylor]: Taking taylor expansion of 1/3 in x 0.377 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.377 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in x 0.378 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in x 0.378 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in x 0.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in x 0.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in x 0.378 * [taylor]: Taking taylor expansion of 1/3 in x 0.378 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in x 0.378 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log x))) in y 0.379 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.379 * [taylor]: Taking taylor expansion of (log 1) in y 0.379 * [taylor]: Taking taylor expansion of 1 in y 0.379 * [taylor]: Taking taylor expansion of (log x) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) (* 1/6 (/ 1 (pow y 2)))) (* 1/3 (/ (log x) (* (- (log 1) (log x)) (pow y 2))))) (exp (- (log 1) (log x)))) in y 0.388 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) (* 1/6 (/ 1 (pow y 2)))) (* 1/3 (/ (log x) (* (- (log 1) (log x)) (pow y 2))))) in y 0.388 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) (* 1/6 (/ 1 (pow y 2)))) in y 0.388 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) in y 0.388 * [taylor]: Taking taylor expansion of 1/3 in y 0.388 * [taylor]: Taking taylor expansion of (/ (log 1) (* (- (log 1) (log x)) (pow y 2))) in y 0.388 * [taylor]: Taking taylor expansion of (log 1) in y 0.388 * [taylor]: Taking taylor expansion of 1 in y 0.388 * [taylor]: Taking taylor expansion of (* (- (log 1) (log x)) (pow y 2)) in y 0.388 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.388 * [taylor]: Taking taylor expansion of (log 1) in y 0.388 * [taylor]: Taking taylor expansion of 1 in y 0.388 * [taylor]: Taking taylor expansion of (log x) in y 0.388 * [taylor]: Taking taylor expansion of x in y 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.388 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 2))) in y 0.388 * [taylor]: Taking taylor expansion of 1/6 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 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log x) (* (- (log 1) (log x)) (pow y 2)))) in y 0.389 * [taylor]: Taking taylor expansion of 1/3 in y 0.389 * [taylor]: Taking taylor expansion of (/ (log x) (* (- (log 1) (log x)) (pow y 2))) in y 0.389 * [taylor]: Taking taylor expansion of (log x) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of (* (- (log 1) (log x)) (pow y 2)) in y 0.389 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.389 * [taylor]: Taking taylor expansion of (log 1) in y 0.389 * [taylor]: Taking taylor expansion of 1 in y 0.389 * [taylor]: Taking taylor expansion of (log x) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log x))) in y 0.389 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.389 * [taylor]: Taking taylor expansion of (log 1) in y 0.389 * [taylor]: Taking taylor expansion of 1 in y 0.389 * [taylor]: Taking taylor expansion of (log x) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [approximate]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3)) in (x y) around 0 0.405 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3)) in y 0.405 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))))) in y 0.405 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)))) in y 0.405 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in y 0.405 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in y 0.405 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in y 0.405 * [taylor]: Taking taylor expansion of 1/3 in y 0.405 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.405 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.405 * [taylor]: Taking taylor expansion of x in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in y 0.405 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in y 0.405 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in y 0.405 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in y 0.405 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in y 0.405 * [taylor]: Taking taylor expansion of 1/3 in y 0.405 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in y 0.405 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in y 0.405 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.405 * [taylor]: Taking taylor expansion of x in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3)) in x 0.406 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))))) in x 0.406 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)))) in x 0.407 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in x 0.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in x 0.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.407 * [taylor]: Taking taylor expansion of 1/3 in x 0.407 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.407 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.407 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in x 0.407 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in x 0.407 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in x 0.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in x 0.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in x 0.407 * [taylor]: Taking taylor expansion of 1/3 in x 0.407 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in x 0.407 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.407 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3)) in x 0.408 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))))) in x 0.408 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)))) in x 0.408 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in x 0.408 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in x 0.408 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.408 * [taylor]: Taking taylor expansion of 1/3 in x 0.408 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.408 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in x 0.409 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in x 0.409 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in x 0.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in x 0.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in x 0.409 * [taylor]: Taking taylor expansion of 1/3 in x 0.409 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in x 0.409 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log x))) in y 0.410 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.410 * [taylor]: Taking taylor expansion of (log 1) in y 0.410 * [taylor]: Taking taylor expansion of 1 in y 0.410 * [taylor]: Taking taylor expansion of (log x) in y 0.410 * [taylor]: Taking taylor expansion of x in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) (* 1/6 (/ 1 (pow y 2)))) (* 1/3 (/ (log x) (* (- (log 1) (log x)) (pow y 2))))) (exp (- (log 1) (log x)))) in y 0.419 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) (* 1/6 (/ 1 (pow y 2)))) (* 1/3 (/ (log x) (* (- (log 1) (log x)) (pow y 2))))) in y 0.419 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) (* 1/6 (/ 1 (pow y 2)))) in y 0.419 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) in y 0.419 * [taylor]: Taking taylor expansion of 1/3 in y 0.419 * [taylor]: Taking taylor expansion of (/ (log 1) (* (- (log 1) (log x)) (pow y 2))) in y 0.419 * [taylor]: Taking taylor expansion of (log 1) in y 0.419 * [taylor]: Taking taylor expansion of 1 in y 0.419 * [taylor]: Taking taylor expansion of (* (- (log 1) (log x)) (pow y 2)) in y 0.419 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.419 * [taylor]: Taking taylor expansion of (log 1) in y 0.419 * [taylor]: Taking taylor expansion of 1 in y 0.419 * [taylor]: Taking taylor expansion of (log x) in y 0.419 * [taylor]: Taking taylor expansion of x in y 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 2))) in y 0.420 * [taylor]: Taking taylor expansion of 1/6 in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log x) (* (- (log 1) (log x)) (pow y 2)))) in y 0.420 * [taylor]: Taking taylor expansion of 1/3 in y 0.420 * [taylor]: Taking taylor expansion of (/ (log x) (* (- (log 1) (log x)) (pow y 2))) in y 0.420 * [taylor]: Taking taylor expansion of (log x) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of (* (- (log 1) (log x)) (pow y 2)) in y 0.420 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.420 * [taylor]: Taking taylor expansion of (log 1) in y 0.420 * [taylor]: Taking taylor expansion of 1 in y 0.420 * [taylor]: Taking taylor expansion of (log x) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log x))) in y 0.420 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.420 * [taylor]: Taking taylor expansion of (log 1) in y 0.420 * [taylor]: Taking taylor expansion of 1 in y 0.420 * [taylor]: Taking taylor expansion of (log x) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.432 * * * [progress]: simplifying candidates 0.433 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (* (log (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (* 1 (cbrt (log (sqrt (+ (* x x) (* y y)))))) (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt 1/2)) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt 1)) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (/ 1 2))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (sqrt (log (sqrt (+ (* x x) (* y y))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt 1)) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (* (cbrt (cbrt (log (sqrt (+ (* x x) (* y y)))))) (cbrt (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (sqrt (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) 1) (pow (* (cbrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (cbrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (sqrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (sqrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow 1 (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (log (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (exp (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (* (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (* (* (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (sqrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (sqrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (/ (cbrt (log (sqrt (+ (* x x) (* y y))))) 2)) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (/ (cbrt (log (sqrt (+ (* x x) (* y y))))) 2)) y x (* -1 x) y x (* -1 x) y x (* -1 x) y (exp (- (log 1) (log (/ 1 x)))) (exp (- (log 1) (log (/ -1 x)))) 0.438 * * [simplify]: iteration 0 : 197 enodes (cost 929 ) 0.442 * * [simplify]: iteration 1 : 514 enodes (cost 856 ) 0.450 * * [simplify]: iteration 2 : 1563 enodes (cost 841 ) 0.482 * * [simplify]: iteration 3 : 5001 enodes (cost 837 ) 0.486 * [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)))) (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)))) (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)))) (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (cbrt (log (sqrt (+ (* x x) (* y y))))) (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt 1/2)) (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt 1/2)) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (sqrt (log (sqrt (+ (* x x) (* y y))))))) (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (* (cbrt (cbrt (log (sqrt (+ (* x x) (* y y)))))) (cbrt (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (sqrt (cbrt (log (sqrt (+ (* x x) (* y y))))))) (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow (* (cbrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (cbrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (sqrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (sqrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) 1 (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (log (sqrt (+ (* x x) (* y y)))) (exp (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (* (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) 3) (sqrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (sqrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (/ (cbrt (log (sqrt (+ (* x x) (* y y))))) 2)) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (/ (cbrt (log (sqrt (+ (* x x) (* y y))))) 2)) y x (* -1 x) y x (* -1 x) y x (* -1 x) y x (* -1 x) 0.487 * * * [progress]: adding candidates to table 0.586 * * [progress]: iteration 4 / 4 0.586 * * * [progress]: picking best candidate 0.601 * * * * [pick]: Picked # 0.602 * * * [progress]: localizing error 0.631 * * * [progress]: generating rewritten candidates 0.631 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 0.635 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 1 1) 0.639 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1) 0.643 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 1 1) 0.648 * * * [progress]: generating series expansions 0.648 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 0.648 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.648 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.648 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.648 * [taylor]: Taking taylor expansion of x in y 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.648 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.648 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.649 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.649 * [taylor]: Taking taylor expansion of y in x 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of 0 in y 0.649 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.649 * [taylor]: Taking taylor expansion of 1/2 in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.650 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.650 * [taylor]: Taking taylor expansion of x in y 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.650 * [taylor]: Taking taylor expansion of y in x 0.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.650 * [taylor]: Taking taylor expansion of y in x 0.651 * [taylor]: Taking taylor expansion of 1 in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.651 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.651 * [taylor]: Taking taylor expansion of 1/2 in y 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.651 * [taylor]: Taking taylor expansion of y in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.652 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.652 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.652 * [taylor]: Taking taylor expansion of x in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.652 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.652 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of 1 in y 0.653 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.653 * [taylor]: Taking taylor expansion of 1/2 in y 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of 0 in y 0.654 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 1 1) 0.654 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.654 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.654 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.654 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.654 * [taylor]: Taking taylor expansion of x in y 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.654 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.655 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.655 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.655 * [taylor]: Taking taylor expansion of y in x 0.655 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.655 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.655 * [taylor]: Taking taylor expansion of 1/2 in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.656 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.657 * [taylor]: Taking taylor expansion of 1 in y 0.657 * [taylor]: Taking taylor expansion of 0 in y 0.657 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.657 * [taylor]: Taking taylor expansion of 1/2 in y 0.657 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.658 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.658 * [taylor]: Taking taylor expansion of x in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.658 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.658 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.658 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.658 * [taylor]: Taking taylor expansion of y in x 0.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.658 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.658 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.658 * [taylor]: Taking taylor expansion of y in x 0.659 * [taylor]: Taking taylor expansion of 1 in y 0.659 * [taylor]: Taking taylor expansion of 0 in y 0.659 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.659 * [taylor]: Taking taylor expansion of 1/2 in y 0.659 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of 0 in y 0.659 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1) 0.660 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.660 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.660 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.660 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.660 * [taylor]: Taking taylor expansion of x in y 0.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.660 * [taylor]: Taking taylor expansion of y in y 0.660 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.660 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.660 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.660 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.660 * [taylor]: Taking taylor expansion of y in x 0.661 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.661 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.661 * [taylor]: Taking taylor expansion of 1/2 in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.661 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.661 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.661 * [taylor]: Taking taylor expansion of x in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.662 * [taylor]: Taking taylor expansion of y in x 0.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.662 * [taylor]: Taking taylor expansion of y in x 0.662 * [taylor]: Taking taylor expansion of 1 in y 0.662 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.663 * [taylor]: Taking taylor expansion of 1/2 in y 0.663 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.663 * [taylor]: Taking taylor expansion of y in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.663 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.663 * [taylor]: Taking taylor expansion of x in y 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.664 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.664 * [taylor]: Taking taylor expansion of y in y 0.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.664 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.664 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.664 * [taylor]: Taking taylor expansion of y in x 0.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.664 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.664 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.664 * [taylor]: Taking taylor expansion of y in x 0.664 * [taylor]: Taking taylor expansion of 1 in y 0.664 * [taylor]: Taking taylor expansion of 0 in y 0.665 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.665 * [taylor]: Taking taylor expansion of 1/2 in y 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.665 * [taylor]: Taking taylor expansion of 0 in y 0.665 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 1 1) 0.665 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.665 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.665 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.665 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.665 * [taylor]: Taking taylor expansion of x in y 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.666 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.666 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.666 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.666 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.666 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.666 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of 0 in y 0.667 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.667 * [taylor]: Taking taylor expansion of 1/2 in y 0.667 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of 0 in y 0.667 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.667 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.667 * [taylor]: Taking taylor expansion of x in y 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.667 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.667 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.667 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.667 * [taylor]: Taking taylor expansion of y in x 0.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.668 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.668 * [taylor]: Taking taylor expansion of y in x 0.668 * [taylor]: Taking taylor expansion of 1 in y 0.668 * [taylor]: Taking taylor expansion of 0 in y 0.668 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.668 * [taylor]: Taking taylor expansion of 1/2 in y 0.668 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.668 * [taylor]: Taking taylor expansion of y in y 0.669 * [taylor]: Taking taylor expansion of 0 in y 0.669 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.669 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.669 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.669 * [taylor]: Taking taylor expansion of x in y 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.669 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.669 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.669 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.669 * [taylor]: Taking taylor expansion of y in x 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.670 * [taylor]: Taking taylor expansion of y in x 0.670 * [taylor]: Taking taylor expansion of 1 in y 0.670 * [taylor]: Taking taylor expansion of 0 in y 0.670 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.670 * [taylor]: Taking taylor expansion of 1/2 in y 0.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of 0 in y 0.671 * * * [progress]: simplifying candidates 0.672 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (* -1 x) y x (* -1 x) y x (* -1 x) y x (* -1 x) 0.677 * * [simplify]: iteration 0 : 89 enodes (cost 400 ) 0.679 * * [simplify]: iteration 1 : 215 enodes (cost 388 ) 0.683 * * [simplify]: iteration 2 : 503 enodes (cost 388 ) 0.692 * * [simplify]: iteration 3 : 1265 enodes (cost 388 ) 0.722 * * [simplify]: iteration 4 : 4227 enodes (cost 388 ) 0.809 * * [simplify]: iteration 5 : 5002 enodes (cost 384 ) 0.811 * [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)))) (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)))) (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)))) (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)))) y x (* -1 x) y x (* -1 x) y x (* -1 x) y x (* -1 x) 0.812 * * * [progress]: adding candidates to table 0.922 * [progress]: [Phase 3 of 3] Extracting. 0.922 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.923 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 0.923 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 0.972 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.018 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # #) 1.067 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.105 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # # #) 1.158 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 1.189 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # # # #) 1.245 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# #) 1.279 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 1.332 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 1.391 * * * [regime]: Found split indices: #