7.366 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (+ (+ (* x x) y) y) 0.021 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.021 * * [simplify]: iteration 1 : 13 enodes (cost 7 ) 0.022 * [simplify]: Simplified to: (+ (* x x) (+ y y)) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.045 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) 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 (* 2 y) in y 0.045 * [taylor]: Taking taylor expansion of 2 in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.045 * [taylor]: Taking taylor expansion of 2 in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.045 * [taylor]: Taking taylor expansion of 2 in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.045 * [taylor]: Taking taylor expansion of 2 in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 1 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.046 * [taylor]: Taking taylor expansion of 2 in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 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 (* 2 (/ 1 y)) in x 0.046 * [taylor]: Taking taylor expansion of 2 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)) (* 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 (* 2 (/ 1 y)) in x 0.046 * [taylor]: Taking taylor expansion of 2 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 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.047 * [taylor]: Taking taylor expansion of 2 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 y)) in y 0.048 * [taylor]: Taking taylor expansion of 2 in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 y)) in x 0.048 * [taylor]: Taking taylor expansion of 2 in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 y)) in x 0.048 * [taylor]: Taking taylor expansion of 2 in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of 1 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 y))) in y 0.048 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.048 * [taylor]: Taking taylor expansion of 2 in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * * * [progress]: simplifying candidates 0.050 * [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)) 0.079 * * [simplify]: iteration 0 : 5153 enodes (cost 148 ) 0.080 * [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 6) (* (pow y 3) 8)) (+ (pow x 4) (* y (+ (* y 4) (* x (* x -2))))) (+ (pow x 4) (* y (* y -4))) (+ (* x x) (* y -2)) (+ (* x x) y) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) 0.081 * * * [progress]: adding candidates to table 0.095 * * [progress]: iteration 2 / 4 0.095 * * * [progress]: picking best candidate 0.100 * * * * [pick]: Picked # 0.100 * * * [progress]: localizing error 0.104 * * * [progress]: generating rewritten candidates 0.104 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.110 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.115 * * * [progress]: generating series expansions 0.115 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.115 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.115 * [taylor]: Taking taylor expansion of 2 in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.115 * [taylor]: Taking taylor expansion of 2 in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.115 * [taylor]: Taking taylor expansion of 2 in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.115 * [taylor]: Taking taylor expansion of 2 in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of 1 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.116 * [taylor]: Taking taylor expansion of 2 in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.116 * [taylor]: Taking taylor expansion of 2 in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.116 * [taylor]: Taking taylor expansion of 2 in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of 1 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.117 * [taylor]: Taking taylor expansion of 2 in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.118 * [taylor]: Taking taylor expansion of 2 in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.118 * [taylor]: Taking taylor expansion of 2 in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.118 * [taylor]: Taking taylor expansion of 2 in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of 1 in y 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 y))) in y 0.119 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.119 * [taylor]: Taking taylor expansion of 2 in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.119 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.119 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [taylor]: Taking taylor expansion of 1 in y 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.121 * [taylor]: Taking taylor expansion of 1 in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.122 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of 1 in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.123 * * * [progress]: simplifying candidates 0.123 * [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) (+ y 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) (+ (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) 0.158 * * [simplify]: iteration 0 : 5304 enodes (cost 250 ) 0.160 * [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)) (+ (* y (+ (* x x) y)) (pow x 4)) (+ (pow x 4) (* x (* x (+ y y)))) (* x x) (+ (* x x) (+ y y)) (+ 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 y 3) (pow x 6)) (+ (pow x 4) (* y (- y (* x x)))) (- (pow x 4) (* y y)) (- (* x x) y) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.160 * * * [progress]: adding candidates to table 0.187 * * [progress]: iteration 3 / 4 0.187 * * * [progress]: picking best candidate 0.190 * * * * [pick]: Picked # 0.190 * * * [progress]: localizing error 0.196 * * * [progress]: generating rewritten candidates 0.196 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.214 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.221 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.228 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.237 * * * [progress]: generating series expansions 0.237 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.238 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.238 * [taylor]: Taking taylor expansion of 2 in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) 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 y) in x 0.238 * [taylor]: Taking taylor expansion of 2 in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) 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 y) in x 0.238 * [taylor]: Taking taylor expansion of 2 in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.238 * [taylor]: Taking taylor expansion of 2 in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of 1 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.239 * [taylor]: Taking taylor expansion of 2 in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [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 (pow x 2)) (* 2 (/ 1 y))) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [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 0.240 * [taylor]: Taking taylor expansion of 1 in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.240 * [taylor]: Taking taylor expansion of 2 in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.241 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.241 * [taylor]: Taking taylor expansion of 2 in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.241 * [taylor]: Taking taylor expansion of 2 in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.241 * [taylor]: Taking taylor expansion of 2 in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of 1 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of (neg (* 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 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.242 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.243 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.243 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.243 * [taylor]: Taking taylor expansion of 2 in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.243 * [taylor]: Taking taylor expansion of 2 in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.243 * [taylor]: Taking taylor expansion of 2 in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.243 * [taylor]: Taking taylor expansion of 2 in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [taylor]: Taking taylor expansion of 1 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.244 * [taylor]: Taking taylor expansion of x in y 0.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.244 * [taylor]: Taking taylor expansion of 2 in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.244 * [taylor]: Taking taylor expansion of 2 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.244 * [taylor]: Taking taylor expansion of 2 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of 1 in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.244 * [taylor]: Taking taylor expansion of 2 in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.245 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.245 * [taylor]: Taking taylor expansion of 2 in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.246 * [taylor]: Taking taylor expansion of 2 in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.246 * [taylor]: Taking taylor expansion of 2 in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of 1 in y 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 y))) in y 0.246 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.246 * [taylor]: Taking taylor expansion of 2 in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.247 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.247 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.247 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.247 * [taylor]: Taking taylor expansion of x in y 0.247 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.247 * [taylor]: Taking taylor expansion of 2 in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.247 * [taylor]: Taking taylor expansion of 2 in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.247 * [taylor]: Taking taylor expansion of 2 in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.247 * [taylor]: Taking taylor expansion of 2 in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of 1 in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.248 * [taylor]: Taking taylor expansion of 2 in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.248 * [taylor]: Taking taylor expansion of 2 in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.249 * [taylor]: Taking taylor expansion of 2 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of 1 in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.249 * [taylor]: Taking taylor expansion of 2 in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.250 * [taylor]: Taking taylor expansion of 2 in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.250 * [taylor]: Taking taylor expansion of 2 in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.250 * [taylor]: Taking taylor expansion of 2 in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of 1 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 y))) in y 0.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.251 * [taylor]: Taking taylor expansion of 2 in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.251 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.251 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 y))) in (x y) around 0 0.252 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 y))) in y 0.252 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.252 * [taylor]: Taking taylor expansion of 2 in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 y))) in x 0.252 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.252 * [taylor]: Taking taylor expansion of 2 in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 y))) in x 0.252 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.252 * [taylor]: Taking taylor expansion of 2 in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt y)) in y 0.252 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.252 * [taylor]: Taking taylor expansion of 2 in y 0.252 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 y)))) in y 0.253 * [taylor]: Taking taylor expansion of 1/2 in y 0.253 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 y))) in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2)) in y 0.253 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.253 * [taylor]: Taking taylor expansion of 2 in y 0.253 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.254 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in (x y) around 0 0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in y 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.254 * [taylor]: Taking taylor expansion of 2 in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.255 * [taylor]: Taking taylor expansion of 2 in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.255 * [taylor]: Taking taylor expansion of 2 in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of 1 in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 2)) in y 0.256 * [taylor]: Taking taylor expansion of -1/2 in y 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.258 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in (x y) around 0 0.258 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in y 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.258 * [taylor]: Taking taylor expansion of 2 in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.259 * [taylor]: Taking taylor expansion of 2 in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.259 * [taylor]: Taking taylor expansion of 2 in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of 1 in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.259 * [taylor]: Taking taylor expansion of -1 in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 2)) in y 0.260 * [taylor]: Taking taylor expansion of -1/2 in y 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * * * [progress]: simplifying candidates 0.262 * [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) 3) (pow (+ y y) 3))) (sqrt (+ (pow (* x x) 3) (pow (+ y y) 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (+ y y) (+ y y)) (* (* x x) (+ y y))))) (sqrt (+ (* (* x x) (* x x)) (- (* (+ y y) (+ y y)) (* (* x x) (+ y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (+ y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (+ y y) (+ y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (+ y y) (+ y y)) (* (* x x) (+ y y))))) (sqrt (- (* x x) (+ y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (+ y y) (+ y y)))) (sqrt (+ (pow (* x x) 3) (pow (+ y y) 3)))) (* (sqrt (- (* x x) (+ y y))) (sqrt (+ (* (* x x) (* x x)) (- (* (+ y y) (+ y y)) (* (* x 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(+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y))))) (* (sqrt (sqrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y))))) (* (sqrt (sqrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y))))) (* (sqrt (sqrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y))))) (* 1 1) (* (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y)))) (* (sqrt (sqrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y))))) (* (sqrt (sqrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y))))) (* (sqrt (sqrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y))))) (* (sqrt (sqrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y))))) (* (sqrt (sqrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y))))) (* (sqrt (sqrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y))))) (* (sqrt (sqrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y))))) (* (sqrt (sqrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (+ y y))) (* (cbrt (sqrt (+ (* x x) (+ y 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(sqrt (+ (* x x) (+ y y)))) (* (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) (* (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) (log (sqrt (+ (* x x) (+ y y)))) (exp (sqrt (+ (* x x) (+ y y)))) (* (cbrt (sqrt (+ (* x x) (+ y y)))) (cbrt (sqrt (+ (* x x) (+ y y))))) (cbrt (sqrt (+ (* x x) (+ y y)))) (* (* (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y)))) (sqrt (+ (* x x) (+ y y)))) (sqrt (* (cbrt (+ (* x x) (+ y y))) (cbrt (+ (* x x) (+ y y))))) (sqrt (cbrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y)))) (sqrt 1) (sqrt (+ (* x x) (+ y y))) (sqrt (+ (pow (* x x) 3) (pow (+ y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (+ y y) (+ y y)) (* (* x x) (+ y y))))) (sqrt (- (* (* x x) (* x x)) (* (+ y y) (+ y y)))) (sqrt (- (* x x) (+ y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y)))) (+ (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 NAN 3) (* (pow y 2) (sqrt 2))) (+ (* 1/2 (/ (* (pow x 2) NAN) (sqrt 2))) (* NAN (* y (sqrt 2))))) (+ x (/ y x)) (neg (+ x (/ y x))) 0.294 * * [simplify]: iteration 0 : 5371 enodes (cost 1159 ) 0.299 * [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) (pow (sqrt (cbrt (+ (* x x) (+ y y)))) 4) (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 6) (* 8 (pow y 3))) (+ (pow x 4) (* 2 (* y (+ y (- y (* x x)))))) (* (sqrt (+ (pow x 6) (* 8 (pow y 3)))) (sqrt (+ (pow x 4) (* y (* y -4))))) (* (sqrt (+ (pow x 4) (* 2 (* y (+ y (- y (* x x))))))) (sqrt (+ (* x x) (* y -2)))) (* (sqrt (+ (pow x 6) (* 8 (pow y 3)))) (sqrt (+ (pow x 4) (* y (* y -4))))) (* (sqrt (+ (pow x 4) (* 2 (* y (+ y (- y (* x x))))))) (sqrt (+ (* x 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x) (+ y y)))) 4) (cbrt (+ (* x x) (+ y y))) (pow (+ (* x x) (+ y y)) 3) (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (+ (pow x 6) (* 8 (pow y 3))) (+ (pow x 4) (* 2 (* y (+ y (- y (* x x)))))) (+ (pow x 4) (* y (* y -4))) (+ (* x x) (* y -2)) (+ (* x x) y) (log (sqrt (+ (* x x) (+ y y)))) (exp (sqrt (+ (* x x) (+ y y)))) (* (cbrt (sqrt (+ (* x x) (+ y y)))) (cbrt (sqrt (+ (* x x) (+ y y))))) (cbrt (sqrt (+ (* x x) (+ y y)))) (pow (sqrt (+ (* x x) (+ y y))) 3) (fabs (cbrt (+ (* x x) (+ y y)))) (sqrt (cbrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* x x) (+ y y)))) 1 (sqrt (+ (* x x) (+ y y))) (sqrt (+ (pow x 6) (* 8 (pow y 3)))) (sqrt (+ (pow x 4) (* 2 (* y (+ y (- y (* x x))))))) (sqrt (+ (pow x 4) (* y (* y -4)))) (sqrt (+ (* x x) (* y -2))) 1/2 (sqrt (sqrt (+ (* x x) (+ y y)))) (sqrt (sqrt (+ (* 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)) (+ (* x x) (+ y y)) (+ (* 1/2 (* NAN (/ x (/ (sqrt 2) x)))) (* (sqrt 2) (* y (+ (* y (pow NAN 3)) NAN)))) (+ x (/ y x)) (- (neg x) (/ y x)) 0.299 * * * [progress]: adding candidates to table 0.385 * [progress]: [Phase 3 of 3] Extracting. 0.385 * * [regime]: Finding splitpoints for: (# # #) 0.386 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 0.386 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.421 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# # #) 0.456 * * * * [regimes]: Trying to branch on y from (# # #) 0.491 * * * * [regimes]: Trying to branch on x from (# # #) 0.525 * * * [regime]: Found split indices: #