22.445 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.018 * [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))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.033 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.037 * * * [progress]: generating series expansions 0.037 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.037 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.038 * [taylor]: Taking taylor expansion of 1/2 in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [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 0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.040 * [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 0.040 * [taylor]: Taking taylor expansion of 1/2 in y 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [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 (/ 1/2 (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of 1/2 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 0 in y 0.043 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.043 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.043 * [taylor]: Taking taylor expansion of x 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 (+ (pow x 2) (pow y 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 (pow y 2) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.043 * [taylor]: Taking taylor expansion of y in x 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 0.043 * [taylor]: Taking taylor expansion of 1 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 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 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 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of 1 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * * * [progress]: simplifying candidates 0.048 * [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)) 0.051 * * [simplify]: iteration 0 : 125 enodes (cost 177 ) 0.054 * * [simplify]: iteration 1 : 530 enodes (cost 163 ) 0.062 * * [simplify]: iteration 2 : 1540 enodes (cost 163 ) 0.095 * * [simplify]: iteration 3 : 5001 enodes (cost 162 ) 0.096 * [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)) 0.096 * * * [progress]: adding candidates to table 0.135 * * [progress]: iteration 2 / 4 0.135 * * * [progress]: picking best candidate 0.144 * * * * [pick]: Picked # 0.144 * * * [progress]: localizing error 0.154 * * * [progress]: generating rewritten candidates 0.154 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.157 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.162 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 0.167 * * * [progress]: generating series expansions 0.167 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.167 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.167 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.168 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.168 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.169 * [taylor]: Taking taylor expansion of 1/2 in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) 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 1 in y 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.170 * [taylor]: Taking taylor expansion of 1/2 in y 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.170 * [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 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.173 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.173 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.173 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.173 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.174 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.174 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.174 * [taylor]: Taking taylor expansion of 1/2 in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) 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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) 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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.176 * [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 (/ 1/2 (pow y 2)) in y 0.176 * [taylor]: Taking taylor expansion of 1/2 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 0 in y 0.177 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.177 * [taylor]: Taking taylor expansion of x 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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.177 * [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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.177 * [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 in y 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.178 * [taylor]: Taking taylor expansion of 1/2 in y 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 0.179 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.179 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.179 * [taylor]: Taking taylor expansion of x 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 (+ (pow x 2) (pow y 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x 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 (+ (pow x 2) (pow y 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x 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 (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 0.179 * [taylor]: Taking taylor expansion of 1 in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of 1 in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of 1 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * * * [progress]: simplifying candidates 0.185 * [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)) 0.188 * * [simplify]: iteration 0 : 172 enodes (cost 330 ) 0.192 * * [simplify]: iteration 1 : 601 enodes (cost 313 ) 0.200 * * [simplify]: iteration 2 : 1676 enodes (cost 304 ) 0.234 * * [simplify]: iteration 3 : 5001 enodes (cost 296 ) 0.236 * [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)) 0.236 * * * [progress]: adding candidates to table 0.311 * * [progress]: iteration 3 / 4 0.311 * * * [progress]: picking best candidate 0.327 * * * * [pick]: Picked # 0.327 * * * [progress]: localizing error 0.349 * * * [progress]: generating rewritten candidates 0.349 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.352 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1) 0.356 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 0.360 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.365 * * * [progress]: generating series expansions 0.365 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.365 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.365 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.366 * [taylor]: Taking taylor expansion of x in y 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.367 * [taylor]: Taking taylor expansion of 1/2 in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of 1 in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.369 * [taylor]: Taking taylor expansion of 1/2 in y 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.369 * [taylor]: Taking taylor expansion of x in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of 1 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of 1/2 in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.371 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1) 0.371 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.371 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.371 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.371 * [taylor]: Taking taylor expansion of x in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.372 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.372 * [taylor]: Taking taylor expansion of y in x 0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.372 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.372 * [taylor]: Taking taylor expansion of y in x 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.373 * [taylor]: Taking taylor expansion of 1/2 in y 0.373 * [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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.373 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of 1 in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.374 * [taylor]: Taking taylor expansion of 1/2 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 0 in y 0.375 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 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 0.376 * [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 0.376 * [taylor]: Taking taylor expansion of 1 in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.377 * [taylor]: Taking taylor expansion of 1/2 in y 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.378 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 0.378 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.378 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.378 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.378 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.379 * [taylor]: Taking taylor expansion of 1/2 in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of 1 in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of 1/2 in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of 1 in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.383 * [taylor]: Taking taylor expansion of 1/2 in y 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.383 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.384 * [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 0.384 * [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 0.384 * [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 0.384 * [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 0.384 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) in y 0.384 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2))))))) in y 0.384 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2)))))) in y 0.384 * [taylor]: Taking taylor expansion of 1/3 in y 0.384 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow x 2) (pow y 2))))) in y 0.384 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in y 0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.384 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.384 * [taylor]: Taking taylor expansion of x in y 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3))) in y 0.384 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) in y 0.384 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3) in y 0.384 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)))) in y 0.384 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2))) in y 0.384 * [taylor]: Taking taylor expansion of 1/3 in y 0.384 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) in y 0.384 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in y 0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.384 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.384 * [taylor]: Taking taylor expansion of x in y 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [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 0.385 * [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 0.385 * [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 0.385 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) in x 0.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2))))))) in x 0.385 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2)))))) in x 0.385 * [taylor]: Taking taylor expansion of 1/3 in x 0.385 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow x 2) (pow y 2))))) in x 0.385 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in x 0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.385 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.385 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3))) in x 0.386 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) in x 0.386 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3) in x 0.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)))) in x 0.386 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2))) in x 0.386 * [taylor]: Taking taylor expansion of 1/3 in x 0.386 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) in x 0.386 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in x 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.386 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.387 * [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 0.387 * [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 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) in x 0.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2))))))) in x 0.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2)))))) in x 0.387 * [taylor]: Taking taylor expansion of 1/3 in x 0.387 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow x 2) (pow y 2))))) in x 0.387 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in x 0.387 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.387 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3))) in x 0.387 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) in x 0.387 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3) in x 0.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)))) in x 0.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2))) in x 0.387 * [taylor]: Taking taylor expansion of 1/3 in x 0.387 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) in x 0.387 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in x 0.387 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.388 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.388 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.394 * [taylor]: Taking taylor expansion of 1/2 in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [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 0.399 * [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 0.399 * [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 0.399 * [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 0.399 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in y 0.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in y 0.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in y 0.399 * [taylor]: Taking taylor expansion of 1/3 in y 0.399 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.399 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.399 * [taylor]: Taking taylor expansion of x in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in y 0.400 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in y 0.400 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in y 0.400 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in y 0.400 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in y 0.400 * [taylor]: Taking taylor expansion of 1/3 in y 0.400 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in y 0.400 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in y 0.400 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.400 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.400 * [taylor]: Taking taylor expansion of x in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.401 * [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 0.401 * [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 0.401 * [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 0.401 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in x 0.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in x 0.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.401 * [taylor]: Taking taylor expansion of 1/3 in x 0.401 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.401 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in x 0.402 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in x 0.402 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in x 0.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in x 0.402 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in x 0.402 * [taylor]: Taking taylor expansion of 1/3 in x 0.402 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in x 0.402 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in x 0.402 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.402 * [taylor]: Taking taylor expansion of y in x 0.403 * [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 0.403 * [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 0.403 * [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 0.403 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in x 0.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in x 0.403 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.403 * [taylor]: Taking taylor expansion of 1/3 in x 0.403 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.403 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in x 0.403 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in x 0.403 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in x 0.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in x 0.404 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in x 0.404 * [taylor]: Taking taylor expansion of 1/3 in x 0.404 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in x 0.404 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log x))) in y 0.405 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.405 * [taylor]: Taking taylor expansion of (log 1) in y 0.405 * [taylor]: Taking taylor expansion of 1 in y 0.405 * [taylor]: Taking taylor expansion of (log x) in y 0.405 * [taylor]: Taking taylor expansion of x in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [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 0.414 * [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 0.414 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) (* 1/6 (/ 1 (pow y 2)))) in y 0.414 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) in y 0.414 * [taylor]: Taking taylor expansion of 1/3 in y 0.414 * [taylor]: Taking taylor expansion of (/ (log 1) (* (- (log 1) (log x)) (pow y 2))) in y 0.414 * [taylor]: Taking taylor expansion of (log 1) in y 0.414 * [taylor]: Taking taylor expansion of 1 in y 0.414 * [taylor]: Taking taylor expansion of (* (- (log 1) (log x)) (pow y 2)) in y 0.414 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.414 * [taylor]: Taking taylor expansion of (log 1) in y 0.414 * [taylor]: Taking taylor expansion of 1 in y 0.414 * [taylor]: Taking taylor expansion of (log x) in y 0.414 * [taylor]: Taking taylor expansion of x in y 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 2))) in y 0.415 * [taylor]: Taking taylor expansion of 1/6 in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log x) (* (- (log 1) (log x)) (pow y 2)))) in y 0.415 * [taylor]: Taking taylor expansion of 1/3 in y 0.415 * [taylor]: Taking taylor expansion of (/ (log x) (* (- (log 1) (log x)) (pow y 2))) in y 0.415 * [taylor]: Taking taylor expansion of (log x) in y 0.415 * [taylor]: Taking taylor expansion of x in y 0.415 * [taylor]: Taking taylor expansion of (* (- (log 1) (log x)) (pow y 2)) in y 0.415 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.415 * [taylor]: Taking taylor expansion of (log 1) in y 0.415 * [taylor]: Taking taylor expansion of 1 in y 0.415 * [taylor]: Taking taylor expansion of (log x) in y 0.415 * [taylor]: Taking taylor expansion of x in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log x))) in y 0.415 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.415 * [taylor]: Taking taylor expansion of (log 1) in y 0.415 * [taylor]: Taking taylor expansion of 1 in y 0.415 * [taylor]: Taking taylor expansion of (log x) in y 0.415 * [taylor]: Taking taylor expansion of x in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [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 0.428 * [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 0.428 * [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 0.428 * [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 0.428 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in y 0.428 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in y 0.428 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in y 0.428 * [taylor]: Taking taylor expansion of 1/3 in y 0.428 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.428 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.428 * [taylor]: Taking taylor expansion of x in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.429 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in y 0.429 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in y 0.429 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in y 0.429 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in y 0.429 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in y 0.429 * [taylor]: Taking taylor expansion of 1/3 in y 0.429 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in y 0.429 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in y 0.429 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.429 * [taylor]: Taking taylor expansion of x in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.430 * [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 0.430 * [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 0.430 * [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 0.430 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in x 0.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in x 0.430 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.430 * [taylor]: Taking taylor expansion of 1/3 in x 0.430 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.430 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.430 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in x 0.433 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in x 0.434 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in x 0.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in x 0.434 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in x 0.434 * [taylor]: Taking taylor expansion of 1/3 in x 0.434 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in x 0.434 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.434 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.435 * [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 0.435 * [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 0.435 * [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 0.435 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in x 0.435 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in x 0.435 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.435 * [taylor]: Taking taylor expansion of 1/3 in x 0.435 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.435 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in x 0.435 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in x 0.435 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in x 0.435 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in x 0.435 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in x 0.436 * [taylor]: Taking taylor expansion of 1/3 in x 0.436 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in x 0.436 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log x))) in y 0.437 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.437 * [taylor]: Taking taylor expansion of (log 1) in y 0.437 * [taylor]: Taking taylor expansion of 1 in y 0.437 * [taylor]: Taking taylor expansion of (log x) in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [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 0.446 * [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 0.446 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) (* 1/6 (/ 1 (pow y 2)))) in y 0.446 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) in y 0.446 * [taylor]: Taking taylor expansion of 1/3 in y 0.446 * [taylor]: Taking taylor expansion of (/ (log 1) (* (- (log 1) (log x)) (pow y 2))) in y 0.446 * [taylor]: Taking taylor expansion of (log 1) in y 0.446 * [taylor]: Taking taylor expansion of 1 in y 0.446 * [taylor]: Taking taylor expansion of (* (- (log 1) (log x)) (pow y 2)) in y 0.446 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.446 * [taylor]: Taking taylor expansion of (log 1) in y 0.446 * [taylor]: Taking taylor expansion of 1 in y 0.446 * [taylor]: Taking taylor expansion of (log x) in y 0.446 * [taylor]: Taking taylor expansion of x in y 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 2))) in y 0.446 * [taylor]: Taking taylor expansion of 1/6 in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log x) (* (- (log 1) (log x)) (pow y 2)))) in y 0.446 * [taylor]: Taking taylor expansion of 1/3 in y 0.446 * [taylor]: Taking taylor expansion of (/ (log x) (* (- (log 1) (log x)) (pow y 2))) in y 0.446 * [taylor]: Taking taylor expansion of (log x) in y 0.446 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of (* (- (log 1) (log x)) (pow y 2)) in y 0.447 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.447 * [taylor]: Taking taylor expansion of (log 1) in y 0.447 * [taylor]: Taking taylor expansion of 1 in y 0.447 * [taylor]: Taking taylor expansion of (log x) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log x))) in y 0.447 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.447 * [taylor]: Taking taylor expansion of (log 1) in y 0.447 * [taylor]: Taking taylor expansion of 1 in y 0.447 * [taylor]: Taking taylor expansion of (log x) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.459 * * * [progress]: simplifying candidates 0.460 * [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)))) 0.466 * * [simplify]: iteration 0 : 197 enodes (cost 929 ) 0.469 * * [simplify]: iteration 1 : 514 enodes (cost 856 ) 0.478 * * [simplify]: iteration 2 : 1563 enodes (cost 841 ) 0.509 * * [simplify]: iteration 3 : 5001 enodes (cost 837 ) 0.513 * [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) 0.514 * * * [progress]: adding candidates to table 0.620 * * [progress]: iteration 4 / 4 0.620 * * * [progress]: picking best candidate 0.638 * * * * [pick]: Picked # 0.638 * * * [progress]: localizing error 0.670 * * * [progress]: generating rewritten candidates 0.670 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 0.673 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 1) 0.677 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1) 0.681 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 1 1) 0.686 * * * [progress]: generating series expansions 0.686 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 0.686 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.686 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.686 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.686 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.686 * [taylor]: Taking taylor expansion of x in y 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.686 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.686 * [taylor]: Taking taylor expansion of y in x 0.687 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.687 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.687 * [taylor]: Taking taylor expansion of y in x 0.687 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of 0 in y 0.687 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.687 * [taylor]: Taking taylor expansion of 1/2 in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of 0 in y 0.688 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.688 * [taylor]: Taking taylor expansion of x in y 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of 1 in y 0.689 * [taylor]: Taking taylor expansion of 0 in y 0.689 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.689 * [taylor]: Taking taylor expansion of 1/2 in y 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of 0 in y 0.690 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.690 * [taylor]: Taking taylor expansion of x in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.691 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.691 * [taylor]: Taking taylor expansion of y in x 0.691 * [taylor]: Taking taylor expansion of 1 in y 0.691 * [taylor]: Taking taylor expansion of 0 in y 0.691 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.691 * [taylor]: Taking taylor expansion of 1/2 in y 0.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of 0 in y 0.692 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 1) 0.692 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.692 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.692 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.692 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.692 * [taylor]: Taking taylor expansion of x in y 0.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.692 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.692 * [taylor]: Taking taylor expansion of y in x 0.692 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.692 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of 0 in y 0.693 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.693 * [taylor]: Taking taylor expansion of 1/2 in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of 0 in y 0.693 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.693 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.694 * [taylor]: Taking taylor expansion of x in y 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.694 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.694 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.694 * [taylor]: Taking taylor expansion of 1 in y 0.694 * [taylor]: Taking taylor expansion of 0 in y 0.695 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.695 * [taylor]: Taking taylor expansion of 1/2 in y 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.695 * [taylor]: Taking taylor expansion of 0 in y 0.695 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.696 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.696 * [taylor]: Taking taylor expansion of x in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.696 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.696 * [taylor]: Taking taylor expansion of y in x 0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.696 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.696 * [taylor]: Taking taylor expansion of y in x 0.696 * [taylor]: Taking taylor expansion of 1 in y 0.696 * [taylor]: Taking taylor expansion of 0 in y 0.697 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.697 * [taylor]: Taking taylor expansion of 1/2 in y 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.697 * [taylor]: Taking taylor expansion of 0 in y 0.697 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1) 0.698 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.698 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.698 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.698 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.698 * [taylor]: Taking taylor expansion of x in y 0.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.698 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.698 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.698 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.698 * [taylor]: Taking taylor expansion of y in x 0.698 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.698 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.698 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.698 * [taylor]: Taking taylor expansion of y in x 0.698 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.699 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.699 * [taylor]: Taking taylor expansion of 1/2 in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.699 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.699 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.699 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.699 * [taylor]: Taking taylor expansion of x in y 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.700 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.700 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of 1 in y 0.700 * [taylor]: Taking taylor expansion of 0 in y 0.700 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.700 * [taylor]: Taking taylor expansion of 1/2 in y 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.701 * [taylor]: Taking taylor expansion of 0 in y 0.701 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.701 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.701 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.701 * [taylor]: Taking taylor expansion of x in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.702 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.702 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.702 * [taylor]: Taking taylor expansion of y in x 0.702 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.702 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.702 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.702 * [taylor]: Taking taylor expansion of y in x 0.702 * [taylor]: Taking taylor expansion of 1 in y 0.702 * [taylor]: Taking taylor expansion of 0 in y 0.702 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.703 * [taylor]: Taking taylor expansion of 1/2 in y 0.703 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.703 * [taylor]: Taking taylor expansion of y in y 0.703 * [taylor]: Taking taylor expansion of 0 in y 0.703 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 1 1) 0.703 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.703 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.703 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.703 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.703 * [taylor]: Taking taylor expansion of x in y 0.703 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.703 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.704 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.704 * [taylor]: Taking taylor expansion of y in x 0.704 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.704 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.704 * [taylor]: Taking taylor expansion of y in x 0.704 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of 0 in y 0.704 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.704 * [taylor]: Taking taylor expansion of 1/2 in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.705 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.705 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.705 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.705 * [taylor]: Taking taylor expansion of x in y 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.705 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.705 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.705 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.705 * [taylor]: Taking taylor expansion of y in x 0.706 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.706 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.706 * [taylor]: Taking taylor expansion of y in x 0.706 * [taylor]: Taking taylor expansion of 1 in y 0.706 * [taylor]: Taking taylor expansion of 0 in y 0.706 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.706 * [taylor]: Taking taylor expansion of 1/2 in y 0.706 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.707 * [taylor]: Taking taylor expansion of 0 in y 0.707 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.707 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.707 * [taylor]: Taking taylor expansion of x in y 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.707 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.707 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.707 * [taylor]: Taking taylor expansion of y in x 0.708 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.708 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.708 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.708 * [taylor]: Taking taylor expansion of y in x 0.708 * [taylor]: Taking taylor expansion of 1 in y 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.708 * [taylor]: Taking taylor expansion of 1/2 in y 0.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of 0 in y 0.709 * * * [progress]: simplifying candidates 0.710 * [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) 0.714 * * [simplify]: iteration 0 : 89 enodes (cost 400 ) 0.717 * * [simplify]: iteration 1 : 215 enodes (cost 388 ) 0.722 * * [simplify]: iteration 2 : 503 enodes (cost 388 ) 0.732 * * [simplify]: iteration 3 : 1265 enodes (cost 388 ) 0.762 * * [simplify]: iteration 4 : 4227 enodes (cost 388 ) 0.851 * * [simplify]: iteration 5 : 5002 enodes (cost 384 ) 0.856 * [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) 0.856 * * * [progress]: adding candidates to table 0.982 * [progress]: [Phase 3 of 3] Extracting. 0.982 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.983 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 0.983 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 1.033 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.079 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # #) 1.129 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.163 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # # #) 1.217 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 1.248 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # # # #) 1.308 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# #) 1.346 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 1.416 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 1.487 * * * [regime]: Found split indices: #