12.979 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (+ (+ (* x x) y) y) 0.017 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.039 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.048 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.048 * [taylor]: Taking taylor expansion of 2 in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.048 * [taylor]: Taking taylor expansion of 2 in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.048 * [taylor]: Taking taylor expansion of 2 in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.048 * [taylor]: Taking taylor expansion of 2 in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of 2 in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.059 * [taylor]: Taking taylor expansion of 2 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.060 * [taylor]: Taking taylor expansion of 2 in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 1 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.062 * [taylor]: Taking taylor expansion of 2 in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.068 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.068 * [taylor]: Taking taylor expansion of 2 in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.069 * [taylor]: Taking taylor expansion of 2 in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.070 * [taylor]: Taking taylor expansion of 2 in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of 1 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.072 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.072 * [taylor]: Taking taylor expansion of 2 in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.079 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of 1 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of 1 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * * * [progress]: simplifying candidates 0.100 * [simplify]: Simplifying using # : (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp 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) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (+ (* x x) y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.103 * * [simplify]: iteration 0 : 132 enodes (cost 150 ) 0.107 * * [simplify]: iteration 1 : 494 enodes (cost 139 ) 0.115 * * [simplify]: iteration 2 : 1581 enodes (cost 133 ) 0.151 * * [simplify]: iteration 3 : 5001 enodes (cost 132 ) 0.152 * [simplify]: Simplified to: (exp (+ (+ (* 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) y) 3) (pow y 3)) (+ (* (+ (* x x) y) y) (pow x 4)) (* (pow x 2) (+ (+ (* x x) y) y)) (pow x 2) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (+ (pow x 2) y) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (* y y) (- (* (* x x) y) (pow x 4))) (+ (- (* y y)) (pow x 4)) (- (* x x) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.152 * * * [progress]: adding candidates to table 0.194 * * [progress]: iteration 2 / 4 0.194 * * * [progress]: picking best candidate 0.197 * * * * [pick]: Picked # 0.197 * * * [progress]: localizing error 0.202 * * * [progress]: generating rewritten candidates 0.202 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.217 * * * [progress]: generating series expansions 0.217 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.217 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.217 * [taylor]: Taking taylor expansion of 2 in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.218 * [taylor]: Taking taylor expansion of 2 in x 0.218 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.218 * [taylor]: Taking taylor expansion of 2 in x 0.218 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.218 * [taylor]: Taking taylor expansion of 2 in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [taylor]: Taking taylor expansion of 1 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.223 * [taylor]: Taking taylor expansion of 2 in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.224 * [taylor]: Taking taylor expansion of 2 in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.225 * [taylor]: Taking taylor expansion of 2 in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.225 * [taylor]: Taking taylor expansion of 1 in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.228 * [taylor]: Taking taylor expansion of 2 in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.237 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.237 * [taylor]: Taking taylor expansion of 2 in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.238 * [taylor]: Taking taylor expansion of 2 in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.239 * [taylor]: Taking taylor expansion of 2 in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of 1 in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.242 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.242 * [taylor]: Taking taylor expansion of 2 in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.248 * * * [progress]: simplifying candidates 0.249 * [simplify]: Simplifying using # : (* (exp (* x x)) (* (exp y) (exp 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)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) y) (+ (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.252 * * [simplify]: iteration 0 : 99 enodes (cost 97 ) 0.255 * * [simplify]: iteration 1 : 437 enodes (cost 88 ) 0.265 * * [simplify]: iteration 2 : 1645 enodes (cost 88 ) 0.305 * * [simplify]: iteration 3 : 5002 enodes (cost 88 ) 0.306 * [simplify]: Simplified to: (exp (+ (* 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)) (- (* 4 (* y y)) (- (* (* x x) (+ y y)) (pow x 4))) (+ (- (* (+ y y) (+ y y))) (pow x 4)) (- (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) y) (+ (* x x) y) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) 0.306 * * * [progress]: adding candidates to table 0.327 * * [progress]: iteration 3 / 4 0.327 * * * [progress]: picking best candidate 0.328 * * * * [pick]: Picked # 0.328 * * * [progress]: localizing error 0.335 * * * [progress]: generating rewritten candidates 0.335 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.368 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.379 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.390 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.404 * * * [progress]: generating series expansions 0.404 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.405 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.405 * [taylor]: Taking taylor expansion of x in y 0.405 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.405 * [taylor]: Taking taylor expansion of 2 in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.405 * [taylor]: Taking taylor expansion of 2 in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.405 * [taylor]: Taking taylor expansion of 2 in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.405 * [taylor]: Taking taylor expansion of 2 in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of 1 in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.411 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.412 * [taylor]: Taking taylor expansion of 2 in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.412 * [taylor]: Taking taylor expansion of 2 in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.413 * [taylor]: Taking taylor expansion of 2 in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of 1 in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.416 * [taylor]: Taking taylor expansion of 2 in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.422 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.422 * [taylor]: Taking taylor expansion of x in y 0.422 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.422 * [taylor]: Taking taylor expansion of 2 in y 0.422 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.423 * [taylor]: Taking taylor expansion of 2 in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.423 * [taylor]: Taking taylor expansion of 2 in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of 1 in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.426 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.426 * [taylor]: Taking taylor expansion of 2 in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.438 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.439 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.439 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.439 * [taylor]: Taking taylor expansion of 2 in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.439 * [taylor]: Taking taylor expansion of 2 in x 0.439 * [taylor]: Taking taylor expansion of y in x 0.439 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.439 * [taylor]: Taking taylor expansion of 2 in x 0.439 * [taylor]: Taking taylor expansion of y in x 0.439 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.439 * [taylor]: Taking taylor expansion of 2 in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [taylor]: Taking taylor expansion of 1 in y 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.445 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.445 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.445 * [taylor]: Taking taylor expansion of 2 in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.446 * [taylor]: Taking taylor expansion of 2 in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.447 * [taylor]: Taking taylor expansion of 2 in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.447 * [taylor]: Taking taylor expansion of 1 in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.449 * [taylor]: Taking taylor expansion of 2 in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.455 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.455 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.455 * [taylor]: Taking taylor expansion of x in y 0.455 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.455 * [taylor]: Taking taylor expansion of 2 in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.456 * [taylor]: Taking taylor expansion of 2 in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.457 * [taylor]: Taking taylor expansion of 2 in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.457 * [taylor]: Taking taylor expansion of y in x 0.457 * [taylor]: Taking taylor expansion of 1 in y 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.460 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.460 * [taylor]: Taking taylor expansion of 2 in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.466 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.466 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.466 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.466 * [taylor]: Taking taylor expansion of x in y 0.466 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.466 * [taylor]: Taking taylor expansion of 2 in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.466 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.467 * [taylor]: Taking taylor expansion of 2 in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.467 * [taylor]: Taking taylor expansion of 2 in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.467 * [taylor]: Taking taylor expansion of 2 in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.469 * [taylor]: Taking taylor expansion of 1 in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.472 * [taylor]: Taking taylor expansion of 2 in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.473 * [taylor]: Taking taylor expansion of 2 in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.473 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.474 * [taylor]: Taking taylor expansion of 2 in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.474 * [taylor]: Taking taylor expansion of 1 in y 0.476 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.477 * [taylor]: Taking taylor expansion of 2 in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.482 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.482 * [taylor]: Taking taylor expansion of x in y 0.482 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.482 * [taylor]: Taking taylor expansion of 2 in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.483 * [taylor]: Taking taylor expansion of 2 in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.484 * [taylor]: Taking taylor expansion of 2 in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of 1 in y 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.487 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.487 * [taylor]: Taking taylor expansion of 2 in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.493 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 0.493 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.493 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.493 * [taylor]: Taking taylor expansion of x in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.493 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [taylor]: Taking taylor expansion of 1 in y 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.496 * [taylor]: Taking taylor expansion of x in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of 1 in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.504 * [taylor]: Taking taylor expansion of x in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.505 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of 1 in y 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of 0 in y 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.513 * * * [progress]: simplifying candidates 0.521 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ 1 1) (+ (log (sqrt (+ (+ (* x x) y) y))) (log (sqrt (+ (+ (* x x) y) y)))) (log (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (exp (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (* (* (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (* (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y)))) (* (cbrt (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (cbrt (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))))) (cbrt (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (* (* (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (sqrt (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (sqrt (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3))) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y)))) (sqrt (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))))) (* (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3))) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (* (sqrt (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y)))) (sqrt (- (+ (* x x) y) y))) (* (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y))) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (- (+ (* x x) y) y)) (sqrt (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))))) (* (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y))) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (* (sqrt (- (+ (* x x) y) y)) (sqrt (- (+ (* x x) y) y))) (* (* (cbrt (sqrt (+ (+ (* x x) y) y))) (cbrt (sqrt (+ (+ (* x x) y) y)))) (* (cbrt (sqrt (+ (+ (* x x) y) y))) (cbrt (sqrt (+ (+ (* x x) y) y))))) (* (cbrt (sqrt (+ (+ (* x x) y) y))) (cbrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y)))) (sqrt (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))))) (* (sqrt (cbrt (+ (+ (* x x) y) y))) (sqrt (cbrt (+ (+ (* x x) y) y)))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* 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2)) (* (sqrt (+ (+ (* x x) y) y)) (* (cbrt (sqrt (+ (+ (* x x) y) y))) (cbrt (sqrt (+ (+ (* x x) y) y))))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (+ (+ (* x x) y) y)) 1) (* (cbrt (sqrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (cbrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (* (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3))) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y))) (sqrt (+ (+ (* x x) y) y))) (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp 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) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (+ (* x x) y) (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp 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) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (+ (* x x) y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.528 * * [simplify]: iteration 0 : 226 enodes (cost 760 ) 0.533 * * [simplify]: iteration 1 : 938 enodes (cost 689 ) 0.558 * * [simplify]: iteration 2 : 5001 enodes (cost 651 ) 0.563 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ (+ (* x x) y) y)) 4) (+ (+ (* x x) y) y) (pow (sqrt (+ (+ (* x x) y) y)) 4) 2 (log (+ (+ (* x x) y) y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (pow (+ (+ (* x x) y) y) 3) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (pow (+ (+ (* x x) y) y) 3) (pow (sqrt (+ (+ (* x x) y) y)) 4) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* y y) (* (pow x 2) (+ (* x x) y))) (* (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3))) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (* (sqrt (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y)))) (sqrt (- (+ (* x x) y) y))) (* (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3))) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (* (sqrt (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y)))) (sqrt (- (+ (* x x) y) y))) (* (+ (+ (* x x) y) y) (pow x 2)) (pow x 2) (pow (cbrt (sqrt (+ (+ (* x x) y) y))) 4) (* (cbrt (sqrt (+ (+ (* x x) y) y))) (cbrt (sqrt (+ (+ (* x x) y) y)))) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) (sqrt (+ (+ 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(sqrt (+ (+ (* x x) y) y)) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (exp (+ (+ (* 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) y) 3) (pow y 3)) (+ (* y y) (* (pow x 2) (+ (* x x) y))) (* (+ (+ (* x x) y) y) (pow x 2)) (pow x 2) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (* 2 y) (+ (pow x 2) y) (exp (+ (+ (* 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) y) 3) (pow y 3)) (+ (* y y) (* (pow x 2) (+ (* x x) y))) (* (+ (+ (* x x) y) y) (pow x 2)) (pow x 2) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (* 2 y) (+ (pow x 2) y) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (* y y) (- (* (* x x) y) (pow x 4))) (+ (- (* y y)) (pow x 4)) (- (* x x) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.564 * * * [progress]: adding candidates to table 0.697 * * [progress]: iteration 4 / 4 0.697 * * * [progress]: picking best candidate 0.699 * * * * [pick]: Picked # 0.699 * * * [progress]: localizing error 0.713 * * * [progress]: generating rewritten candidates 0.713 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.725 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.757 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.770 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.790 * * * [progress]: generating series expansions 0.790 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.790 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow x 2) (* 2 y)) 1/4) 3) in (x y) around 0 0.790 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (* 2 y)) 1/4) 3) in y 0.790 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 y)) 1/4) in y 0.790 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (* 2 y))))) in y 0.790 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (* 2 y)))) in y 0.790 * [taylor]: Taking taylor expansion of 1/4 in y 0.790 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 y))) in y 0.790 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.790 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.790 * [taylor]: Taking taylor expansion of x in y 0.790 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.790 * [taylor]: Taking taylor expansion of 2 in y 0.790 * [taylor]: Taking taylor expansion of y in y 0.791 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (* 2 y)) 1/4) 3) in x 0.791 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 y)) 1/4) in x 0.791 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (* 2 y))))) in x 0.791 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (* 2 y)))) in x 0.791 * [taylor]: Taking taylor expansion of 1/4 in x 0.791 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 y))) in x 0.791 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.791 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.792 * [taylor]: Taking taylor expansion of 2 in x 0.792 * [taylor]: Taking taylor expansion of y in x 0.792 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (* 2 y)) 1/4) 3) in x 0.792 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 y)) 1/4) in x 0.792 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (* 2 y))))) in x 0.792 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (* 2 y)))) in x 0.792 * [taylor]: Taking taylor expansion of 1/4 in x 0.792 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 y))) in x 0.792 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.792 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.792 * [taylor]: Taking taylor expansion of 2 in x 0.792 * [taylor]: Taking taylor expansion of y in x 0.792 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (* (pow y 3) 2) 1/4)) in y 0.792 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.792 * [taylor]: Taking taylor expansion of 2 in y 0.793 * [taylor]: Taking taylor expansion of (pow (* (pow y 3) 2) 1/4) in y 0.793 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (pow y 3) 2)))) in y 0.793 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (pow y 3) 2))) in y 0.793 * [taylor]: Taking taylor expansion of 1/4 in y 0.793 * [taylor]: Taking taylor expansion of (log (* (pow y 3) 2)) in y 0.793 * [taylor]: Taking taylor expansion of (* (pow y 3) 2) in y 0.793 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.793 * [taylor]: Taking taylor expansion of 2 in y 0.799 * [taylor]: Taking taylor expansion of 0 in y 0.809 * [taylor]: Taking taylor expansion of (* 3/8 (* (sqrt 2) (pow (/ 2 y) 1/4))) in y 0.809 * [taylor]: Taking taylor expansion of 3/8 in y 0.809 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (/ 2 y) 1/4)) in y 0.809 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.809 * [taylor]: Taking taylor expansion of 2 in y 0.809 * [taylor]: Taking taylor expansion of (pow (/ 2 y) 1/4) in y 0.809 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 2 y)))) in y 0.809 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 2 y))) in y 0.809 * [taylor]: Taking taylor expansion of 1/4 in y 0.809 * [taylor]: Taking taylor expansion of (log (/ 2 y)) in y 0.809 * [taylor]: Taking taylor expansion of (/ 2 y) in y 0.809 * [taylor]: Taking taylor expansion of 2 in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.827 * [taylor]: Taking taylor expansion of 0 in y 0.842 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) 3) in (x y) around 0 0.842 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) 3) in y 0.842 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in y 0.843 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in y 0.843 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in y 0.843 * [taylor]: Taking taylor expansion of 1/4 in y 0.843 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in y 0.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.843 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.843 * [taylor]: Taking taylor expansion of x in y 0.843 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.843 * [taylor]: Taking taylor expansion of 2 in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.845 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) 3) in x 0.845 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in x 0.845 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in x 0.845 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in x 0.845 * [taylor]: Taking taylor expansion of 1/4 in x 0.845 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.845 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.846 * [taylor]: Taking taylor expansion of 2 in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.846 * [taylor]: Taking taylor expansion of y in x 0.847 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) 3) in x 0.847 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in x 0.847 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in x 0.847 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in x 0.847 * [taylor]: Taking taylor expansion of 1/4 in x 0.847 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.847 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.848 * [taylor]: Taking taylor expansion of 2 in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in y 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 0.849 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.849 * [taylor]: Taking taylor expansion of x in y 0.853 * [taylor]: Taking taylor expansion of 0 in y 0.857 * [taylor]: Taking taylor expansion of (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) in y 0.857 * [taylor]: Taking taylor expansion of 3/2 in y 0.857 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) in y 0.857 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in y 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 0.857 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.857 * [taylor]: Taking taylor expansion of x in y 0.858 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of 0 in y 0.868 * [approximate]: Taking taylor expansion of (pow (pow (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) 3) in (x y) around 0 0.868 * [taylor]: Taking taylor expansion of (pow (pow (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) 3) in y 0.868 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in y 0.868 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in y 0.868 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in y 0.868 * [taylor]: Taking taylor expansion of 1/4 in y 0.868 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in y 0.868 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.868 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.868 * [taylor]: Taking taylor expansion of x in y 0.868 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.868 * [taylor]: Taking taylor expansion of 2 in y 0.868 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (pow (pow (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) 3) in x 0.877 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in x 0.877 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in x 0.877 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in x 0.877 * [taylor]: Taking taylor expansion of 1/4 in x 0.877 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 0.877 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.878 * [taylor]: Taking taylor expansion of 2 in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.878 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of (pow (pow (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) 3) in x 0.879 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in x 0.879 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in x 0.879 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in x 0.879 * [taylor]: Taking taylor expansion of 1/4 in x 0.879 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 0.879 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.879 * [taylor]: Taking taylor expansion of 2 in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.881 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in y 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 0.881 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.881 * [taylor]: Taking taylor expansion of x in y 0.884 * [taylor]: Taking taylor expansion of 0 in y 0.889 * [taylor]: Taking taylor expansion of (- (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))) in y 0.889 * [taylor]: Taking taylor expansion of (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) in y 0.889 * [taylor]: Taking taylor expansion of 3/2 in y 0.889 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) in y 0.889 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in y 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 0.889 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.889 * [taylor]: Taking taylor expansion of x in y 0.890 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.890 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of 0 in y 0.900 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.901 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.901 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.901 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.901 * [taylor]: Taking taylor expansion of x in y 0.901 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.901 * [taylor]: Taking taylor expansion of 2 in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.901 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.901 * [taylor]: Taking taylor expansion of 2 in x 0.901 * [taylor]: Taking taylor expansion of y in x 0.901 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.901 * [taylor]: Taking taylor expansion of 2 in x 0.901 * [taylor]: Taking taylor expansion of y in x 0.901 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.901 * [taylor]: Taking taylor expansion of 2 in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of 0 in y 0.904 * [taylor]: Taking taylor expansion of 1 in y 0.906 * [taylor]: Taking taylor expansion of 0 in y 0.907 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.907 * [taylor]: Taking taylor expansion of x in y 0.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.907 * [taylor]: Taking taylor expansion of 2 in y 0.907 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.908 * [taylor]: Taking taylor expansion of 2 in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.909 * [taylor]: Taking taylor expansion of 2 in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of 1 in y 0.911 * [taylor]: Taking taylor expansion of 0 in y 0.912 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.912 * [taylor]: Taking taylor expansion of 2 in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.918 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.918 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.918 * [taylor]: Taking taylor expansion of x in y 0.918 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.918 * [taylor]: Taking taylor expansion of 2 in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.919 * [taylor]: Taking taylor expansion of 2 in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.919 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.920 * [taylor]: Taking taylor expansion of 2 in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.920 * [taylor]: Taking taylor expansion of y in x 0.920 * [taylor]: Taking taylor expansion of 1 in y 0.922 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.923 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.923 * [taylor]: Taking taylor expansion of 2 in y 0.923 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.926 * [taylor]: Taking taylor expansion of 0 in y 0.929 * [taylor]: Taking taylor expansion of 0 in y 0.929 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.930 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 y)) 1/4) in (x y) around 0 0.930 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 y)) 1/4) in y 0.930 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (* 2 y))))) in y 0.930 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (* 2 y)))) in y 0.930 * [taylor]: Taking taylor expansion of 1/4 in y 0.930 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 y))) in y 0.930 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.930 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.930 * [taylor]: Taking taylor expansion of 2 in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 y)) 1/4) in x 0.930 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (* 2 y))))) in x 0.930 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (* 2 y)))) in x 0.930 * [taylor]: Taking taylor expansion of 1/4 in x 0.930 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 y))) in x 0.930 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.931 * [taylor]: Taking taylor expansion of 2 in x 0.931 * [taylor]: Taking taylor expansion of y in x 0.931 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 y)) 1/4) in x 0.931 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (* 2 y))))) in x 0.931 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (* 2 y)))) in x 0.931 * [taylor]: Taking taylor expansion of 1/4 in x 0.931 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 y))) in x 0.931 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.931 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.931 * [taylor]: Taking taylor expansion of 2 in x 0.931 * [taylor]: Taking taylor expansion of y in x 0.931 * [taylor]: Taking taylor expansion of (pow (* 2 y) 1/4) in y 0.931 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* 2 y)))) in y 0.931 * [taylor]: Taking taylor expansion of (* 1/4 (log (* 2 y))) in y 0.931 * [taylor]: Taking taylor expansion of 1/4 in y 0.931 * [taylor]: Taking taylor expansion of (log (* 2 y)) in y 0.931 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.931 * [taylor]: Taking taylor expansion of 2 in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of 0 in y 0.942 * [taylor]: Taking taylor expansion of (* 1/8 (pow (/ 2 (pow y 3)) 1/4)) in y 0.942 * [taylor]: Taking taylor expansion of 1/8 in y 0.942 * [taylor]: Taking taylor expansion of (pow (/ 2 (pow y 3)) 1/4) in y 0.942 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 2 (pow y 3))))) in y 0.942 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 2 (pow y 3)))) in y 0.942 * [taylor]: Taking taylor expansion of 1/4 in y 0.942 * [taylor]: Taking taylor expansion of (log (/ 2 (pow y 3))) in y 0.942 * [taylor]: Taking taylor expansion of (/ 2 (pow y 3)) in y 0.942 * [taylor]: Taking taylor expansion of 2 in y 0.942 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.942 * [taylor]: Taking taylor expansion of y in y 0.955 * [taylor]: Taking taylor expansion of 0 in y 0.974 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in (x y) around 0 0.974 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in y 0.974 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in y 0.974 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in y 0.974 * [taylor]: Taking taylor expansion of 1/4 in y 0.974 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in y 0.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.974 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.974 * [taylor]: Taking taylor expansion of x in y 0.975 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.975 * [taylor]: Taking taylor expansion of 2 in y 0.975 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.975 * [taylor]: Taking taylor expansion of y in y 0.977 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in x 0.977 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in x 0.977 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in x 0.977 * [taylor]: Taking taylor expansion of 1/4 in x 0.977 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.977 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.978 * [taylor]: Taking taylor expansion of 2 in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.978 * [taylor]: Taking taylor expansion of y in x 0.979 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in x 0.979 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in x 0.979 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in x 0.979 * [taylor]: Taking taylor expansion of 1/4 in x 0.979 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.980 * [taylor]: Taking taylor expansion of 2 in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.980 * [taylor]: Taking taylor expansion of y in x 0.981 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.981 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.981 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.981 * [taylor]: Taking taylor expansion of -1/2 in y 0.981 * [taylor]: Taking taylor expansion of (log x) in y 0.981 * [taylor]: Taking taylor expansion of x in y 0.984 * [taylor]: Taking taylor expansion of 0 in y 0.989 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.989 * [taylor]: Taking taylor expansion of 1/2 in y 0.989 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.989 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.989 * [taylor]: Taking taylor expansion of x in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.989 * [taylor]: Taking taylor expansion of y in y 0.999 * [taylor]: Taking taylor expansion of 0 in y 0.999 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in (x y) around 0 0.999 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in y 0.999 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in y 0.999 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in y 0.999 * [taylor]: Taking taylor expansion of 1/4 in y 0.999 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in y 0.999 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.999 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.999 * [taylor]: Taking taylor expansion of x in y 0.999 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.999 * [taylor]: Taking taylor expansion of 2 in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.999 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in x 1.002 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in x 1.002 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in x 1.002 * [taylor]: Taking taylor expansion of 1/4 in x 1.002 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 1.002 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.002 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.003 * [taylor]: Taking taylor expansion of 2 in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.003 * [taylor]: Taking taylor expansion of y in x 1.004 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in x 1.004 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in x 1.004 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in x 1.004 * [taylor]: Taking taylor expansion of 1/4 in x 1.004 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 1.004 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.004 * [taylor]: Taking taylor expansion of 2 in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.004 * [taylor]: Taking taylor expansion of y in x 1.005 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 1.005 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 1.005 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 1.005 * [taylor]: Taking taylor expansion of -1/2 in y 1.005 * [taylor]: Taking taylor expansion of (log x) in y 1.005 * [taylor]: Taking taylor expansion of x in y 1.009 * [taylor]: Taking taylor expansion of 0 in y 1.013 * [taylor]: Taking taylor expansion of (* -1/2 (* (sqrt (/ 1 x)) (/ 1 y))) in y 1.013 * [taylor]: Taking taylor expansion of -1/2 in y 1.013 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 1.014 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.014 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.014 * [taylor]: Taking taylor expansion of x in y 1.014 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.024 * [taylor]: Taking taylor expansion of 0 in y 1.024 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.025 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 y)) 1/4) in (x y) around 0 1.025 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 y)) 1/4) in y 1.025 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (* 2 y))))) in y 1.025 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (* 2 y)))) in y 1.025 * [taylor]: Taking taylor expansion of 1/4 in y 1.025 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 y))) in y 1.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 1.025 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.025 * [taylor]: Taking taylor expansion of x in y 1.025 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.025 * [taylor]: Taking taylor expansion of 2 in y 1.025 * [taylor]: Taking taylor expansion of y in y 1.025 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 y)) 1/4) in x 1.025 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (* 2 y))))) in x 1.025 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (* 2 y)))) in x 1.025 * [taylor]: Taking taylor expansion of 1/4 in x 1.025 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 y))) in x 1.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 1.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (* 2 y) in x 1.026 * [taylor]: Taking taylor expansion of 2 in x 1.026 * [taylor]: Taking taylor expansion of y in x 1.026 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 y)) 1/4) in x 1.026 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (* 2 y))))) in x 1.026 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (* 2 y)))) in x 1.026 * [taylor]: Taking taylor expansion of 1/4 in x 1.026 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 y))) in x 1.026 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 1.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (* 2 y) in x 1.026 * [taylor]: Taking taylor expansion of 2 in x 1.026 * [taylor]: Taking taylor expansion of y in x 1.026 * [taylor]: Taking taylor expansion of (pow (* 2 y) 1/4) in y 1.026 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* 2 y)))) in y 1.026 * [taylor]: Taking taylor expansion of (* 1/4 (log (* 2 y))) in y 1.026 * [taylor]: Taking taylor expansion of 1/4 in y 1.026 * [taylor]: Taking taylor expansion of (log (* 2 y)) in y 1.026 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.026 * [taylor]: Taking taylor expansion of 2 in y 1.026 * [taylor]: Taking taylor expansion of y in y 1.031 * [taylor]: Taking taylor expansion of 0 in y 1.037 * [taylor]: Taking taylor expansion of (* 1/8 (pow (/ 2 (pow y 3)) 1/4)) in y 1.037 * [taylor]: Taking taylor expansion of 1/8 in y 1.037 * [taylor]: Taking taylor expansion of (pow (/ 2 (pow y 3)) 1/4) in y 1.037 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 2 (pow y 3))))) in y 1.037 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 2 (pow y 3)))) in y 1.037 * [taylor]: Taking taylor expansion of 1/4 in y 1.037 * [taylor]: Taking taylor expansion of (log (/ 2 (pow y 3))) in y 1.037 * [taylor]: Taking taylor expansion of (/ 2 (pow y 3)) in y 1.037 * [taylor]: Taking taylor expansion of 2 in y 1.037 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.037 * [taylor]: Taking taylor expansion of y in y 1.057 * [taylor]: Taking taylor expansion of 0 in y 1.068 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in (x y) around 0 1.068 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in y 1.068 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in y 1.068 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in y 1.068 * [taylor]: Taking taylor expansion of 1/4 in y 1.068 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in y 1.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.068 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.068 * [taylor]: Taking taylor expansion of x in y 1.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.068 * [taylor]: Taking taylor expansion of 2 in y 1.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.068 * [taylor]: Taking taylor expansion of y in y 1.071 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in x 1.071 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in x 1.071 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in x 1.071 * [taylor]: Taking taylor expansion of 1/4 in x 1.071 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 1.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.072 * [taylor]: Taking taylor expansion of 2 in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.072 * [taylor]: Taking taylor expansion of y in x 1.073 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in x 1.073 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in x 1.073 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in x 1.073 * [taylor]: Taking taylor expansion of 1/4 in x 1.073 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 1.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.073 * [taylor]: Taking taylor expansion of 2 in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.073 * [taylor]: Taking taylor expansion of y in x 1.074 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 1.074 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 1.074 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 1.074 * [taylor]: Taking taylor expansion of -1/2 in y 1.074 * [taylor]: Taking taylor expansion of (log x) in y 1.074 * [taylor]: Taking taylor expansion of x in y 1.078 * [taylor]: Taking taylor expansion of 0 in y 1.082 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 x)) (/ 1 y))) in y 1.082 * [taylor]: Taking taylor expansion of 1/2 in y 1.082 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 1.082 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.082 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.082 * [taylor]: Taking taylor expansion of x in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.083 * [taylor]: Taking taylor expansion of y in y 1.092 * [taylor]: Taking taylor expansion of 0 in y 1.093 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in (x y) around 0 1.093 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in y 1.093 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in y 1.093 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in y 1.093 * [taylor]: Taking taylor expansion of 1/4 in y 1.093 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in y 1.093 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 1.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.093 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.093 * [taylor]: Taking taylor expansion of x in y 1.093 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.093 * [taylor]: Taking taylor expansion of 2 in y 1.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.093 * [taylor]: Taking taylor expansion of y in y 1.095 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in x 1.095 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in x 1.095 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in x 1.095 * [taylor]: Taking taylor expansion of 1/4 in x 1.096 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 1.096 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.096 * [taylor]: Taking taylor expansion of 2 in x 1.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.096 * [taylor]: Taking taylor expansion of y in x 1.097 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1/4) in x 1.097 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))))) in x 1.097 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y))))) in x 1.097 * [taylor]: Taking taylor expansion of 1/4 in x 1.097 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 1.097 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.098 * [taylor]: Taking taylor expansion of 2 in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.098 * [taylor]: Taking taylor expansion of y in x 1.099 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 1.099 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 1.099 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 1.099 * [taylor]: Taking taylor expansion of -1/2 in y 1.099 * [taylor]: Taking taylor expansion of (log x) in y 1.099 * [taylor]: Taking taylor expansion of x in y 1.102 * [taylor]: Taking taylor expansion of 0 in y 1.107 * [taylor]: Taking taylor expansion of (* -1/2 (* (sqrt (/ 1 x)) (/ 1 y))) in y 1.107 * [taylor]: Taking taylor expansion of -1/2 in y 1.107 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 1.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.107 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.107 * [taylor]: Taking taylor expansion of x in y 1.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.107 * [taylor]: Taking taylor expansion of y in y 1.117 * [taylor]: Taking taylor expansion of 0 in y 1.117 * * * [progress]: simplifying candidates 1.120 * [simplify]: Simplifying using # : (* (log (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (* (log (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1 2) 2) 3) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt 3)) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 1) (pow (* (cbrt (sqrt (sqrt (+ (+ (* x x) y) y)))) (cbrt (sqrt (sqrt (+ (+ (* x x) y) y))))) 3) (pow (cbrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (pow (sqrt (* (cbrt (sqrt (+ (+ (* x x) y) y))) (cbrt (sqrt (+ (+ (* x x) y) y))))) 3) (pow (sqrt (cbrt (sqrt (+ (+ (* x x) y) y)))) 3) (pow (sqrt (sqrt (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))))) 3) (pow (sqrt (sqrt (cbrt (+ (+ (* x x) y) y)))) 3) (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (pow 1 3) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (log (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3)) (exp (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3)) (* (cbrt (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3)) (cbrt (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3))) (cbrt (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3)) (* (* (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3)) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3)) (/ 3 2) (sqrt (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3)) (sqrt (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3)) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) (/ 3 2)) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) (/ 3 2)) (+ 3 1) (+ (* 1/2 3) 1/2) (+ (* 1/2 3) (/ 1 2)) (+ (* 1 3) 1) (+ (* (/ 1/2 2) 3) (/ 1/2 2)) (+ (* (/ 1/2 2) 3) (/ (/ 1 2) 2)) (+ (* (/ 1 2) 3) 1/2) (+ (* (/ 1 2) 3) (/ 1 2)) (+ (* (/ (/ 1 2) 2) 3) (/ 1/2 2)) (+ (* (/ (/ 1 2) 2) 3) (/ (/ 1 2) 2)) (+ (/ 3 2) 1/2) (+ (/ 3 2) (/ 1 2)) (* (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (sqrt (+ (+ (* x x) y) y)))) (+ 3 1) (+ (* 1 3) 1) (+ (* (log (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (log (sqrt (sqrt (+ (+ (* x x) y) y))))) (+ (* (log (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (log (sqrt (sqrt (+ (+ (* x x) y) y))))) (+ (log (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3)) (log (sqrt (sqrt (+ (+ (* x x) y) y))))) (log (* (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (sqrt (+ (+ (* x x) y) y))))) (exp (* (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (* (* (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3)) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3)) (* (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (cbrt (* (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (sqrt (+ (+ (* x x) y) y))))) (cbrt (* (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (sqrt (+ (+ (* x x) y) y)))))) (cbrt (* (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (* (* (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (sqrt (+ (+ (* x x) y) y))))) (sqrt (* (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (sqrt (+ (+ (* x x) y) y))))) (sqrt (* (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (sqrt (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (sqrt (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (sqrt (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (sqrt (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (sqrt (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (sqrt (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (sqrt (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (sqrt (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (sqrt (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (sqrt (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (sqrt (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (sqrt (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (sqrt (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (sqrt (sqrt (sqrt (+ (+ (* x x) y) y))))) (* (pow (sqrt (sqrt (sqrt (+ (+ (* x x) y) y)))) 3) (sqrt (sqrt 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[regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 1.407 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.421 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# #) 1.433 * * * * [regimes]: Trying to branch on y from (# #) 1.444 * * * * [regimes]: Trying to branch on x from (# #) 1.459 * * * [regime]: Found split indices: #