9.865 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (+ (+ (* x x) y) y) 0.019 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.035 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.042 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 1 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of 1 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.062 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.062 * [taylor]: Taking taylor expansion of 2 in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.062 * [taylor]: Taking taylor expansion of 2 in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.063 * [taylor]: Taking taylor expansion of 2 in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.063 * [taylor]: Taking taylor expansion of 2 in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of 1 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 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.069 * [taylor]: Taking taylor expansion of 2 in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.069 * [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 0.070 * [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 (pow x 2)) (* 2 (/ 1 y))) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.070 * [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 0.071 * [taylor]: Taking taylor expansion of 1 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.073 * [taylor]: Taking taylor expansion of 2 in y 0.073 * [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 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.078 * [taylor]: Taking taylor expansion of 2 in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.079 * [taylor]: Taking taylor expansion of 2 in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.080 * [taylor]: Taking taylor expansion of 2 in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of 1 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.082 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.082 * [taylor]: Taking taylor expansion of 2 in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.089 * * * [progress]: simplifying candidates 0.089 * [simplify]: Simplifying using # : (* (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) (* (* (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) (+ y y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.093 * * [simplify]: iteration 0 : 136 enodes (cost 138 ) 0.097 * * [simplify]: iteration 1 : 511 enodes (cost 127 ) 0.106 * * [simplify]: iteration 2 : 1640 enodes (cost 121 ) 0.142 * * [simplify]: iteration 3 : 5001 enodes (cost 120 ) 0.143 * [simplify]: Simplified to: (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) (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) (+ y y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) 0.144 * * * [progress]: adding candidates to table 0.188 * * [progress]: iteration 2 / 4 0.188 * * * [progress]: picking best candidate 0.193 * * * * [pick]: Picked # 0.193 * * * [progress]: localizing error 0.197 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.205 * * * [progress]: generating series expansions 0.205 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.205 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.205 * [taylor]: Taking taylor expansion of 2 in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.205 * [taylor]: Taking taylor expansion of 2 in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.205 * [taylor]: Taking taylor expansion of 2 in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.206 * [taylor]: Taking taylor expansion of 2 in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of 1 in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.211 * [taylor]: Taking taylor expansion of 2 in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.212 * [taylor]: Taking taylor expansion of 2 in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.213 * [taylor]: Taking taylor expansion of 2 in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of 1 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.215 * [taylor]: Taking taylor expansion of 2 in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [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 0.223 * [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 0.224 * [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 0.225 * [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 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.227 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.227 * [taylor]: Taking taylor expansion of 2 in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.234 * * * [progress]: simplifying candidates 0.234 * [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) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.238 * * [simplify]: iteration 0 : 103 enodes (cost 83 ) 0.241 * * [simplify]: iteration 1 : 468 enodes (cost 74 ) 0.250 * * [simplify]: iteration 2 : 1756 enodes (cost 74 ) 0.294 * * [simplify]: iteration 3 : 5002 enodes (cost 74 ) 0.295 * [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) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) 0.295 * * * [progress]: adding candidates to table 0.315 * * [progress]: iteration 3 / 4 0.315 * * * [progress]: picking best candidate 0.318 * * * * [pick]: Picked # 0.318 * * * [progress]: localizing error 0.326 * * * [progress]: generating rewritten candidates 0.326 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.338 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.342 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.346 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.365 * * * [progress]: generating series expansions 0.365 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.365 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [taylor]: Taking taylor expansion of 1 in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of 1 in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.376 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.376 * [taylor]: Taking taylor expansion of x in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of 1 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.385 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.385 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.385 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.385 * [taylor]: Taking taylor expansion of x in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.387 * [taylor]: Taking taylor expansion of 1 in y 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.388 * [taylor]: Taking taylor expansion of x in y 0.388 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of 1 in y 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.396 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of 1 in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.400 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.405 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.405 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.405 * [taylor]: Taking taylor expansion of (+ (pow x 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 y in y 0.405 * [taylor]: Taking taylor expansion of (+ (pow x 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 y in x 0.405 * [taylor]: Taking taylor expansion of (+ (pow x 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 y in x 0.405 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of 1 in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of 1 in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.415 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.415 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.415 * [taylor]: Taking taylor expansion of x in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of 1 in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.424 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.424 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.424 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.424 * [taylor]: Taking taylor expansion of 2 in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.424 * [taylor]: Taking taylor expansion of 2 in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.424 * [taylor]: Taking taylor expansion of 2 in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.425 * [taylor]: Taking taylor expansion of 2 in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [taylor]: Taking taylor expansion of 1 in y 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.430 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.430 * [taylor]: Taking taylor expansion of x in y 0.430 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.430 * [taylor]: Taking taylor expansion of 2 in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.431 * [taylor]: Taking taylor expansion of 2 in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.431 * [taylor]: Taking taylor expansion of 2 in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of 1 in y 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.434 * [taylor]: Taking taylor expansion of 2 in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.440 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.440 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.440 * [taylor]: Taking taylor expansion of 2 in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.441 * [taylor]: Taking taylor expansion of 2 in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.442 * [taylor]: Taking taylor expansion of 2 in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of 1 in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.444 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.444 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.444 * [taylor]: Taking taylor expansion of 2 in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [taylor]: Taking taylor expansion of 0 in y 0.453 * * * [progress]: simplifying candidates 0.455 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) y) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (+ 1 1) (+ (log (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y)))) (log (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (exp (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))) (* (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))))) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (+ (* x x) y) (+ (* x x) y)) (sqrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (sqrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* x x) y))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (- (* x x) y)) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (* (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* 1 1) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) y)) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (sqrt (+ (* x x) y)) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt 1)) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) 1) (* (cbrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (cbrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* x x) y))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ (* 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) (* (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) (* (exp (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (exp y)) (log (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (exp (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (* (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))) (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (* (* (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y) (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (sqrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (sqrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (+ (pow (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) 3) (pow y 3)) (+ (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (- (* y y) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))) (- (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* y y)) (- (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.461 * * [simplify]: iteration 0 : 227 enodes (cost 600 ) 0.467 * * [simplify]: iteration 1 : 903 enodes (cost 514 ) 0.489 * * [simplify]: iteration 2 : 5002 enodes (cost 498 ) 0.493 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ (* x x) y)) 4) (+ (* x x) y) (pow (sqrt (+ (* x x) y)) 4) 2 (log (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (pow (+ (* x x) y) 3) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (pow (sqrt (+ (* x x) y)) 4) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (* y y) (- (* (* x x) y) (pow x 4))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* x x) y))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* x x) y))) (+ (- (* y y)) (pow x 4)) (- (* x x) y) (pow (cbrt (sqrt (+ (* x x) y))) 4) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) 1 (+ (* x x) y) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) 1 (+ (* x x) y) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) 1 2 1 (* (pow (cbrt (sqrt (+ (* x x) y))) 4) (cbrt (sqrt (+ (* x x) y)))) (* (fabs (cbrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (pow (sqrt (sqrt (+ (* x x) y))) 3) (sqrt (+ (* x x) y)) (pow (sqrt (sqrt (+ (* x x) y))) 3) (sqrt (+ (* x x) y)) (pow (cbrt (sqrt (+ (* x x) y))) 4) (* (sqrt (cbrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (pow (sqrt (sqrt (+ (* x x) y))) 3) (+ (* x x) y) (pow (sqrt (sqrt (+ (* x x) y))) 3) (+ (* x x) y) (* (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y 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) (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) (* (exp y) (exp (+ (* x x) y))) (log (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (* (exp y) (exp (+ (* x x) y))) (* (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))) (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (pow (+ y (+ (* x x) y)) 3) (sqrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (sqrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (+ (pow y 3) (* (pow (+ (* x x) y) 3/2) (pow (+ (* x x) y) 3/2))) (+ (* y y) (- (pow (sqrt (+ (* x x) y)) 4) (* y (+ (* x x) y)))) (* (+ (pow x 2) (- y y)) (+ y (+ (* x x) y))) (+ (pow x 2) 0) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ y (+ (* x x) y)) (+ y (+ (* x x) y)) (+ y (+ (* x x) y)) 0.494 * * * [progress]: adding candidates to table 0.622 * * [progress]: iteration 4 / 4 0.623 * * * [progress]: picking best candidate 0.624 * * * * [pick]: Picked # 0.624 * * * [progress]: localizing error 0.636 * * * [progress]: generating rewritten candidates 0.636 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.648 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.654 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.671 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.678 * * * [progress]: generating series expansions 0.678 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.678 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in (y x) around 0 0.678 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.678 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.678 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.678 * [taylor]: Taking taylor expansion of y in x 0.678 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of y in x 0.678 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 0.678 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.678 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.679 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.679 * [taylor]: Taking taylor expansion of x in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 0.679 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.680 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.680 * [taylor]: Taking taylor expansion of x in y 0.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.680 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.680 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.680 * [taylor]: Taking taylor expansion of x in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of 1 in x 0.684 * [taylor]: Taking taylor expansion of 0 in x 0.688 * [taylor]: Taking taylor expansion of 0 in x 0.692 * [taylor]: Taking taylor expansion of 0 in x 0.693 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 0.693 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.693 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.693 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.694 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.695 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.695 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.695 * [taylor]: Taking taylor expansion of x in y 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.696 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.696 * [taylor]: Taking taylor expansion of x in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.697 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.697 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.698 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.698 * [taylor]: Taking taylor expansion of x in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.698 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.698 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.698 * [taylor]: Taking taylor expansion of x in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.700 * [taylor]: Taking taylor expansion of 1 in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.702 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of 0 in x 0.715 * [taylor]: Taking taylor expansion of 0 in x 0.721 * [taylor]: Taking taylor expansion of 0 in x 0.729 * [taylor]: Taking taylor expansion of 0 in x 0.729 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 0.729 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.729 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.730 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.731 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.732 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.732 * [taylor]: Taking taylor expansion of x in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.732 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.732 * [taylor]: Taking taylor expansion of x in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.734 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.734 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.734 * [taylor]: Taking taylor expansion of x in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.735 * [taylor]: Taking taylor expansion of x in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of -1 in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of 0 in x 0.746 * [taylor]: Taking taylor expansion of 0 in x 0.752 * [taylor]: Taking taylor expansion of 0 in x 0.760 * [taylor]: Taking taylor expansion of 0 in x 0.760 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.760 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (y x) around 0 0.760 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.760 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.760 * [taylor]: Taking taylor expansion of y in x 0.760 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.760 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.760 * [taylor]: Taking taylor expansion of x in y 0.760 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.760 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.760 * [taylor]: Taking taylor expansion of x in y 0.760 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.761 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of 0 in x 0.763 * [taylor]: Taking taylor expansion of -1 in x 0.765 * [taylor]: Taking taylor expansion of 0 in x 0.767 * [taylor]: Taking taylor expansion of 0 in x 0.768 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (y x) around 0 0.768 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.768 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.768 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.768 * [taylor]: Taking taylor expansion of y in x 0.768 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.768 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.769 * [taylor]: Taking taylor expansion of x in y 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.769 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.769 * [taylor]: Taking taylor expansion of y in y 0.769 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.769 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.769 * [taylor]: Taking taylor expansion of x in y 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.770 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.770 * [taylor]: Taking taylor expansion of y in y 0.771 * [taylor]: Taking taylor expansion of -1 in x 0.772 * [taylor]: Taking taylor expansion of 0 in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.773 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of 0 in x 0.779 * [taylor]: Taking taylor expansion of 0 in x 0.784 * [taylor]: Taking taylor expansion of 0 in x 0.791 * [taylor]: Taking taylor expansion of 0 in x 0.794 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (y x) around 0 0.794 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.794 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.795 * [taylor]: Taking taylor expansion of y in x 0.795 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.795 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.795 * [taylor]: Taking taylor expansion of x in y 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.796 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.796 * [taylor]: Taking taylor expansion of x in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.797 * [taylor]: Taking taylor expansion of -1 in x 0.798 * [taylor]: Taking taylor expansion of 0 in x 0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.799 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of 0 in x 0.805 * [taylor]: Taking taylor expansion of 0 in x 0.810 * [taylor]: Taking taylor expansion of 0 in x 0.815 * [taylor]: Taking taylor expansion of 0 in x 0.817 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.818 * [approximate]: Taking taylor expansion of (- (+ (/ (pow x 4) (- (pow x 2) y)) y) (/ (pow y 2) (- (pow x 2) y))) in (y x) around 0 0.818 * [taylor]: Taking taylor expansion of (- (+ (/ (pow x 4) (- (pow x 2) y)) y) (/ (pow y 2) (- (pow x 2) y))) in x 0.818 * [taylor]: Taking taylor expansion of (+ (/ (pow x 4) (- (pow x 2) y)) y) in x 0.818 * [taylor]: Taking taylor expansion of (/ (pow x 4) (- (pow x 2) y)) in x 0.818 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.818 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of y in x 0.818 * [taylor]: Taking taylor expansion of y in x 0.818 * [taylor]: Taking taylor expansion of (/ (pow y 2) (- (pow x 2) y)) in x 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.818 * [taylor]: Taking taylor expansion of y in x 0.818 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.818 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (- (+ (/ (pow x 4) (- (pow x 2) y)) y) (/ (pow y 2) (- (pow x 2) y))) in y 0.819 * [taylor]: Taking taylor expansion of (+ (/ (pow x 4) (- (pow x 2) y)) y) in y 0.819 * [taylor]: Taking taylor expansion of (/ (pow x 4) (- (pow x 2) y)) in y 0.819 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.819 * [taylor]: Taking taylor expansion of x in y 0.819 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.819 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.819 * [taylor]: Taking taylor expansion of x in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of (/ (pow y 2) (- (pow x 2) y)) in y 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.819 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.819 * [taylor]: Taking taylor expansion of x in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of (- (+ (/ (pow x 4) (- (pow x 2) y)) y) (/ (pow y 2) (- (pow x 2) y))) in y 0.820 * [taylor]: Taking taylor expansion of (+ (/ (pow x 4) (- (pow x 2) y)) y) in y 0.820 * [taylor]: Taking taylor expansion of (/ (pow x 4) (- (pow x 2) y)) in y 0.820 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.820 * [taylor]: Taking taylor expansion of x in y 0.820 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.820 * [taylor]: Taking taylor expansion of x in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of (/ (pow y 2) (- (pow x 2) y)) in y 0.821 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.821 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.821 * [taylor]: Taking taylor expansion of x in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of 2 in x 0.825 * [taylor]: Taking taylor expansion of 0 in x 0.829 * [taylor]: Taking taylor expansion of 0 in x 0.834 * [taylor]: Taking taylor expansion of 0 in x 0.835 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in (y x) around 0 0.835 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in x 0.835 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.835 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.835 * [taylor]: Taking taylor expansion of y in x 0.835 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.835 * [taylor]: Taking taylor expansion of (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.835 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.835 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.836 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in x 0.837 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in x 0.837 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.838 * [taylor]: Taking taylor expansion of y in x 0.838 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.838 * [taylor]: Taking taylor expansion of y in x 0.838 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in y 0.838 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.838 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.838 * [taylor]: Taking taylor expansion of (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.838 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.838 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.839 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in y 0.840 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in y 0.840 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.840 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.840 * [taylor]: Taking taylor expansion of x in y 0.840 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in y 0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.841 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.842 * [taylor]: Taking taylor expansion of (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.842 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.842 * [taylor]: Taking taylor expansion of x in y 0.842 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.842 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.842 * [taylor]: Taking taylor expansion of x in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in y 0.843 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in y 0.843 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 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 (/ 1 y) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.845 * [taylor]: Taking taylor expansion of 2 in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of 0 in x 0.858 * [taylor]: Taking taylor expansion of 0 in x 0.867 * [taylor]: Taking taylor expansion of 0 in x 0.880 * [taylor]: Taking taylor expansion of 0 in x 0.881 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))))) in (y x) around 0 0.881 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))))) in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.881 * [taylor]: Taking taylor expansion of (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.881 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.882 * [taylor]: Taking taylor expansion of y in x 0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.883 * [taylor]: Taking taylor expansion of y in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in x 0.883 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in x 0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.883 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.883 * [taylor]: Taking taylor expansion of y in x 0.883 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.883 * [taylor]: Taking taylor expansion of y in x 0.884 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))))) in y 0.884 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.884 * [taylor]: Taking taylor expansion of (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.884 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.884 * [taylor]: Taking taylor expansion of x in y 0.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.884 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.884 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.884 * [taylor]: Taking taylor expansion of x in y 0.884 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.884 * [taylor]: Taking taylor expansion of y in y 0.885 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.885 * [taylor]: Taking taylor expansion of y in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in y 0.885 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in y 0.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.885 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.885 * [taylor]: Taking taylor expansion of x in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.885 * [taylor]: Taking taylor expansion of y in y 0.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))))) in y 0.887 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.887 * [taylor]: Taking taylor expansion of (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.887 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.887 * [taylor]: Taking taylor expansion of x in y 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.887 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.887 * [taylor]: Taking taylor expansion of x in y 0.887 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in y 0.888 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in y 0.888 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in y 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.888 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.888 * [taylor]: Taking taylor expansion of x in y 0.888 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.890 * [taylor]: Taking taylor expansion of -2 in x 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.892 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of 0 in x 0.902 * [taylor]: Taking taylor expansion of 0 in x 0.910 * [taylor]: Taking taylor expansion of 0 in x 0.920 * [taylor]: Taking taylor expansion of 0 in x 0.920 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.921 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.921 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.921 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.921 * [taylor]: Taking taylor expansion of x in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of y in x 0.921 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of y in x 0.921 * [taylor]: Taking taylor expansion of (- y) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [taylor]: Taking taylor expansion of 1 in y 0.924 * [taylor]: Taking taylor expansion of 0 in y 0.924 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.924 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.924 * [taylor]: Taking taylor expansion of x in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.926 * [taylor]: Taking taylor expansion of 1 in y 0.927 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of 0 in y 0.932 * [taylor]: Taking taylor expansion of 0 in y 0.933 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.933 * [taylor]: Taking taylor expansion of x in y 0.933 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.935 * [taylor]: Taking taylor expansion of 1 in y 0.936 * [taylor]: Taking taylor expansion of 0 in y 0.937 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of 0 in y 0.940 * [taylor]: Taking taylor expansion of 0 in y 0.940 * * * [progress]: simplifying candidates 0.942 * [simplify]: Simplifying using # : (- (log (+ (- (* y y)) (pow x 4))) (log (- (* x x) y))) (log (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (exp (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (/ (* (* (+ (- (* y y)) (pow x 4)) (+ (- (* y y)) (pow x 4))) (+ (- (* y y)) (pow x 4))) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y))) (* (cbrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (cbrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)))) (cbrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (* (* (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (sqrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (sqrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (- (+ (- (* y y)) (pow x 4))) (- (- (* x x) y)) (/ 0 (- (* x x) y)) (/ (- (* y y) (pow x 4)) (- (* x x) y)) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (- (* x x) y))) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (sqrt (- (* x x) y))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) 1) (/ (cbrt (+ (- (* y y)) (pow x 4))) (- (* x x) y)) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (+ x (sqrt y))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (- x (sqrt y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (cbrt (- (* x x) y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) 1) (/ (sqrt (+ (- (* y y)) (pow x 4))) (- (* x x) y)) (/ (sqrt (+ (- (* y y)) (pow x 4))) (+ x (sqrt y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (- x (sqrt y))) (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (+ (- (* y y)) (pow x 4)) (cbrt (- (* x x) y))) (/ 1 (sqrt (- (* x x) y))) (/ (+ (- (* y y)) (pow x 4)) (sqrt (- (* x x) y))) (/ 1 1) (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) (/ 1 (+ x (sqrt y))) (/ (+ (- (* y y)) (pow x 4)) (- x (sqrt y))) (/ 1 (* (cbrt (- 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y)))) (* (cbrt (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (cbrt (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y))) (cbrt (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (pow (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y) 3) (sqrt (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (sqrt (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (+ (pow (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) 3) (pow y 3)) (+ (* y (- y (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)))) (* (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)))) (- (/ (* (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) (- (pow x 4) (pow y 2))) (- (pow x 2) y)) (pow y 2)) (- (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y) (+ y (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) (- (/ (- (* y y) (pow x 4)) (- (* x x) y)) y) (exp (- (* x x) y)) (log (- (pow x 2) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (pow (- (pow x 2) y) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (+ (pow x 4) (pow y 2)) (* (* x x) y)) (* -1 y) (- (pow x 4) (pow y 2)) (+ (pow x 2) y) (+ x (sqrt y)) (- x (sqrt y)) (* -1 y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (* -1 (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (+ (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) 0.991 * * * [progress]: adding candidates to table 1.176 * [progress]: [Phase 3 of 3] Extracting. 1.176 * * [regime]: Finding splitpoints for: (# # #) 1.176 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) y x) 1.176 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.188 * * * * [regimes]: Trying to branch on y from (# # #) 1.203 * * * * [regimes]: Trying to branch on x from (# # #) 1.216 * * * [regime]: Found split indices: #