43.068 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.024 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.025 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.027 * * [simplify]: iteration 2 : 53 enodes (cost 3 ) 0.028 * * [simplify]: iteration 3 : 80 enodes (cost 3 ) 0.030 * * [simplify]: iteration 4 : 98 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 107 enodes (cost 3 ) 0.033 * * [simplify]: iteration 6 : 113 enodes (cost 3 ) 0.035 * * [simplify]: iteration 7 : 113 enodes (cost 3 ) 0.035 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.035 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.051 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.051 * [taylor]: Taking taylor expansion of (+ x y) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.051 * [taylor]: Taking taylor expansion of (+ x y) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.051 * [taylor]: Taking taylor expansion of (+ x y) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.051 * [taylor]: Taking taylor expansion of 2 in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 1 in y 0.052 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of 1 in y 0.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.052 * [taylor]: Taking taylor expansion of 2 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 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 x) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of 1 in y 0.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.054 * [taylor]: Taking taylor expansion of 2 in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * * * [progress]: simplifying candidates 0.055 * [simplify]: Simplifying using # : (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.059 * * [simplify]: iteration 0 : 189 enodes (cost 213 ) 0.064 * * [simplify]: iteration 1 : 901 enodes (cost 188 ) 0.088 * * [simplify]: iteration 2 : 5001 enodes (cost 170 ) 0.090 * [simplify]: Simplified to: 2 (* (+ x y) (+ x y)) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (pow (+ x y) 6) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ x y) (+ x y) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (* (pow (cbrt (+ x y)) 4) (cbrt (+ x y))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 0.090 * * * [progress]: adding candidates to table 0.124 * * [progress]: iteration 2 / 4 0.124 * * * [progress]: picking best candidate 0.128 * * * * [pick]: Picked # 0.128 * * * [progress]: localizing error 0.133 * * * [progress]: generating rewritten candidates 0.133 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.140 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.145 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.152 * * * [progress]: generating series expansions 0.153 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.153 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.153 * [taylor]: Taking taylor expansion of 2 in y 0.153 * [taylor]: Taking taylor expansion of (* x y) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.153 * [taylor]: Taking taylor expansion of 2 in x 0.153 * [taylor]: Taking taylor expansion of (* x y) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.153 * [taylor]: Taking taylor expansion of 2 in x 0.153 * [taylor]: Taking taylor expansion of (* x y) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.154 * [taylor]: Taking taylor expansion of 2 in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of 1 in y 0.154 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.154 * [taylor]: Taking taylor expansion of 2 in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.155 * [taylor]: Taking taylor expansion of (* x y) in y 0.155 * [taylor]: Taking taylor expansion of x in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.155 * [taylor]: Taking taylor expansion of 2 in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.155 * [taylor]: Taking taylor expansion of (* x y) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.155 * [taylor]: Taking taylor expansion of 2 in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.155 * [taylor]: Taking taylor expansion of (* x y) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of 1 in y 0.155 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.155 * [taylor]: Taking taylor expansion of 2 in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.156 * [taylor]: Taking taylor expansion of x in y 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.157 * [taylor]: Taking taylor expansion of 2 in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.157 * [taylor]: Taking taylor expansion of (* x y) in y 0.157 * [taylor]: Taking taylor expansion of x in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.157 * [taylor]: Taking taylor expansion of 2 in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.157 * [taylor]: Taking taylor expansion of (* x y) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.157 * [taylor]: Taking taylor expansion of 2 in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.157 * [taylor]: Taking taylor expansion of (* x y) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of 1 in y 0.158 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.158 * [taylor]: Taking taylor expansion of 2 in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.158 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.158 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [taylor]: Taking taylor expansion of (+ x y) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (+ x y) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (+ x y) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of 1 in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.159 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of 1 in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.161 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of 1 in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.162 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.163 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.163 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (+ x y) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (+ x y) in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (+ x y) in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of 0 in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of 1 in x 0.163 * [taylor]: Taking taylor expansion of 0 in x 0.163 * [taylor]: Taking taylor expansion of 0 in x 0.163 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.163 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of 1 in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of 0 in x 0.164 * [taylor]: Taking taylor expansion of 0 in x 0.165 * [taylor]: Taking taylor expansion of 0 in x 0.165 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.165 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.165 * [taylor]: Taking taylor expansion of y in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of y in x 0.165 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of 1 in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of 0 in x 0.168 * [taylor]: Taking taylor expansion of 0 in x 0.168 * [taylor]: Taking taylor expansion of 0 in x 0.169 * * * [progress]: simplifying candidates 0.170 * [simplify]: Simplifying using # : (* (exp (* x (+ x y))) (exp (* y (+ x y)))) (log (+ (* x (+ x y)) (* y (+ x y)))) (exp (+ (* x (+ x y)) (* y (+ x y)))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (* (* (+ (* x (+ x y)) (* y (+ x y))) (+ (* x (+ x y)) (* y (+ x y)))) (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* y (+ (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* y (- (* x x) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* y (- (* x x) (* y y))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* y (+ x y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* y (+ x y)) (* y (+ x y))) (* (* x (+ x y)) (* y (+ x y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* y (+ x y)) (* y (+ x y)))) (- (* x (+ x y)) (* y (+ x y))) (+ x y) (+ (* x (+ x y)) (* y x)) (+ (* x (+ x y)) (* x y)) (+ (* x y) (* y (+ x y))) (+ (* y x) (* y (+ x y))) (* x (+ x y)) (+ (log x) (log (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ 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))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* y (+ x y)) (+ (log y) (log (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (* (* (* y y) y) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (* (* (* y (+ x y)) (* y (+ x y))) (* y (+ x y))) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (* y y) (* x y) (* y y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) (* y 1) (* y 1) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) 0.174 * * [simplify]: iteration 0 : 349 enodes (cost 386 ) 0.182 * * [simplify]: iteration 1 : 1961 enodes (cost 333 ) 0.224 * * [simplify]: iteration 2 : 5003 enodes (cost 331 ) 0.226 * [simplify]: Simplified to: (exp (* (+ x y) (+ x y))) (+ (log (+ x y)) (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (* y (- y x)) (pow x 2)) (+ (* y (+ (pow x 3) (pow y 3))) (* x (+ (pow x 3) (pow y 3))))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* y (- (* x x) (* y y))))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- x y) (+ (* y (- (* x x) (* y y))) (* x (- (* x x) (* y y))))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (+ (* (* y (+ x y)) (- (* y (+ x y)) (* x (+ x y)))) (* (* x (+ x y)) (* x (+ x y)))) (* (pow (+ x y) 3) (- x y)) (- (* x x) (* y y)) (+ x y) (* x (+ (+ x y) y)) (* x (+ (+ x y) y)) (* y (+ x (+ x y))) (* y (+ x (+ x y))) (* x (+ x y)) (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) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (pow x 2) (* x y) (pow x 2) (* x y) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) x x (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* y (+ x y)) (log (* y (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (pow (* y (+ x y)) 3) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (pow (* y (+ x y)) 3) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* x y) (pow y 2) (* x y) (pow y 2) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) y y (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) 0.226 * * * [progress]: adding candidates to table 0.288 * * [progress]: iteration 3 / 4 0.288 * * * [progress]: picking best candidate 0.298 * * * * [pick]: Picked # 0.298 * * * [progress]: localizing error 0.306 * * * [progress]: generating rewritten candidates 0.306 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.314 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.318 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.324 * * * [progress]: generating series expansions 0.325 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.325 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.325 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.325 * [taylor]: Taking taylor expansion of 2 in y 0.325 * [taylor]: Taking taylor expansion of (* x y) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.325 * [taylor]: Taking taylor expansion of 2 in x 0.325 * [taylor]: Taking taylor expansion of (* x y) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.325 * [taylor]: Taking taylor expansion of 2 in x 0.325 * [taylor]: Taking taylor expansion of (* x y) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.326 * [taylor]: Taking taylor expansion of 2 in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of 1 in y 0.326 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.327 * [taylor]: Taking taylor expansion of 2 in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.327 * [taylor]: Taking taylor expansion of (* x y) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.327 * [taylor]: Taking taylor expansion of 2 in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.327 * [taylor]: Taking taylor expansion of (* x y) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.327 * [taylor]: Taking taylor expansion of 2 in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.327 * [taylor]: Taking taylor expansion of (* x y) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of 1 in y 0.328 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.328 * [taylor]: Taking taylor expansion of 2 in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.329 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.329 * [taylor]: Taking taylor expansion of 2 in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.329 * [taylor]: Taking taylor expansion of (* x y) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.329 * [taylor]: Taking taylor expansion of 2 in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.329 * [taylor]: Taking taylor expansion of (* x y) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.330 * [taylor]: Taking taylor expansion of 2 in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.330 * [taylor]: Taking taylor expansion of (* x y) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of 1 in y 0.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.330 * [taylor]: Taking taylor expansion of 2 in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.331 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.331 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in (y x) around 0 0.331 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.331 * [taylor]: Taking taylor expansion of 2 in x 0.331 * [taylor]: Taking taylor expansion of (* x y) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.331 * [taylor]: Taking taylor expansion of 2 in y 0.331 * [taylor]: Taking taylor expansion of (* x y) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.331 * [taylor]: Taking taylor expansion of 2 in y 0.331 * [taylor]: Taking taylor expansion of (* x y) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of 0 in x 0.331 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.331 * [taylor]: Taking taylor expansion of 2 in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of 1 in x 0.332 * [taylor]: Taking taylor expansion of 0 in x 0.332 * [taylor]: Taking taylor expansion of 0 in x 0.332 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (y x) around 0 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.332 * [taylor]: Taking taylor expansion of 2 in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.332 * [taylor]: Taking taylor expansion of (* x y) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.332 * [taylor]: Taking taylor expansion of 2 in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.332 * [taylor]: Taking taylor expansion of (* x y) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.333 * [taylor]: Taking taylor expansion of 2 in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.333 * [taylor]: Taking taylor expansion of (* x y) in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of 1 in x 0.333 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of 2 in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of 0 in x 0.333 * [taylor]: Taking taylor expansion of 0 in x 0.334 * [taylor]: Taking taylor expansion of 0 in x 0.334 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (y x) around 0 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.334 * [taylor]: Taking taylor expansion of 2 in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.334 * [taylor]: Taking taylor expansion of (* x y) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.335 * [taylor]: Taking taylor expansion of 2 in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.335 * [taylor]: Taking taylor expansion of (* x y) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.335 * [taylor]: Taking taylor expansion of 2 in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.335 * [taylor]: Taking taylor expansion of (* x y) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of 1 in x 0.335 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of 2 in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of 0 in x 0.336 * [taylor]: Taking taylor expansion of 0 in x 0.336 * [taylor]: Taking taylor expansion of 0 in x 0.336 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.336 * [approximate]: Taking taylor expansion of (* 2 (* x y)) in (x y) around 0 0.336 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.336 * [taylor]: Taking taylor expansion of 2 in y 0.336 * [taylor]: Taking taylor expansion of (* x y) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.336 * [taylor]: Taking taylor expansion of 2 in x 0.336 * [taylor]: Taking taylor expansion of (* x y) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.337 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.337 * [taylor]: Taking taylor expansion of 2 in x 0.337 * [taylor]: Taking taylor expansion of (* x y) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of y in x 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.337 * [taylor]: Taking taylor expansion of 2 in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 0.337 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 0.337 * [taylor]: Taking taylor expansion of 2 in y 0.337 * [taylor]: Taking taylor expansion of (* x y) in y 0.337 * [taylor]: Taking taylor expansion of x in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.337 * [taylor]: Taking taylor expansion of 2 in x 0.337 * [taylor]: Taking taylor expansion of (* x y) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of y in x 0.337 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.338 * [taylor]: Taking taylor expansion of 2 in x 0.338 * [taylor]: Taking taylor expansion of (* x y) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (/ 2 y) in y 0.338 * [taylor]: Taking taylor expansion of 2 in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 0.338 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 0.338 * [taylor]: Taking taylor expansion of 2 in y 0.338 * [taylor]: Taking taylor expansion of (* x y) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.339 * [taylor]: Taking taylor expansion of 2 in x 0.339 * [taylor]: Taking taylor expansion of (* x y) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.339 * [taylor]: Taking taylor expansion of 2 in x 0.339 * [taylor]: Taking taylor expansion of (* x y) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (/ 2 y) in y 0.339 * [taylor]: Taking taylor expansion of 2 in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.339 * * * [progress]: simplifying candidates 0.340 * [simplify]: Simplifying using # : (* (exp (pow x 2)) (* (exp (pow y 2)) (exp (* 2 (* x y))))) (* (exp (pow x 2)) (exp (+ (pow y 2) (* 2 (* x y))))) (log (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (exp (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (* (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))))) (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (* (* (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (sqrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (sqrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (+ (pow (pow x 2) 3) (pow (+ (pow y 2) (* 2 (* x y))) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y)))) (* (pow x 2) (+ (pow y 2) (* 2 (* x y)))))) (- (* (pow x 2) (pow x 2)) (* (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))))) (- (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (pow y 2)) (* (exp (pow y 2)) (exp (* 2 (* x y)))) (log (+ (pow y 2) (* 2 (* x y)))) (exp (+ (pow y 2) (* 2 (* x y)))) (* (cbrt (+ (pow y 2) (* 2 (* x y)))) (cbrt (+ (pow y 2) (* 2 (* x y))))) (cbrt (+ (pow y 2) (* 2 (* x y)))) (* (* (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y)))) (+ (pow y 2) (* 2 (* x y)))) (sqrt (+ (pow y 2) (* 2 (* x y)))) (sqrt (+ (pow y 2) (* 2 (* x y)))) (+ (pow (pow y 2) 3) (pow (* 2 (* x y)) 3)) (+ (* (pow y 2) (pow y 2)) (- (* (* 2 (* x y)) (* 2 (* x y))) (* (pow y 2) (* 2 (* x y))))) (- (* (pow y 2) (pow y 2)) (* (* 2 (* x y)) (* 2 (* x y)))) (- (pow y 2) (* 2 (* x y))) (* 2 (* x y)) (* 2 (* x y)) (+ (log 2) (+ (log x) (log y))) (+ (log 2) (log (* x y))) (log (* 2 (* x y))) (exp (* 2 (* x y))) (* (* (* 2 2) 2) (* (* (* x x) x) (* (* y y) y))) (* (* (* 2 2) 2) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (* 2 (* x y))) (cbrt (* 2 (* x y)))) (cbrt (* 2 (* x y))) (* (* (* 2 (* x y)) (* 2 (* x y))) (* 2 (* x y))) (sqrt (* 2 (* x y))) (sqrt (* 2 (* x y))) (* 2 x) (* (cbrt 2) (* x y)) (* (sqrt 2) (* x y)) (* 2 (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) 0.344 * * [simplify]: iteration 0 : 226 enodes (cost 296 ) 0.349 * * [simplify]: iteration 1 : 985 enodes (cost 272 ) 0.372 * * [simplify]: iteration 2 : 5001 enodes (cost 265 ) 0.374 * [simplify]: Simplified to: (exp (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (exp (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (log (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (exp (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (* (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))))) (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (pow (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3) (sqrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (sqrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (+ (pow (pow x 2) 3) (pow (+ (pow y 2) (* 2 (* x y))) 3)) (+ (* (+ (pow y 2) (* 2 (* x y))) (- (+ (pow y 2) (* 2 (* x y))) (pow x 2))) (pow x 4)) (+ (pow x 4) (neg (* (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y)))))) (- (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (* x (+ (* 2 y) x)) (pow y 2)) (+ (pow x 2) (pow y 2)) (pow (exp y) (+ (* 2 x) y)) (log (+ (pow y 2) (* 2 (* x y)))) (pow (exp y) (+ (* 2 x) y)) (* (cbrt (+ (pow y 2) (* 2 (* x y)))) (cbrt (+ (pow y 2) (* 2 (* x y))))) (cbrt (+ (pow y 2) (* 2 (* x y)))) (pow (* y (+ (* 2 x) y)) 3) (sqrt (+ (pow y 2) (* 2 (* x y)))) (sqrt (+ (pow y 2) (* 2 (* x y)))) (+ (pow (pow y 2) 3) (pow (* 2 (* x y)) 3)) (+ (* (* 2 (* x y)) (- (* 2 (* x y)) (pow y 2))) (pow y 4)) (+ (* -4 (* (* x y) (* x y))) (pow y 4)) (* y (- y (* 2 x))) (* 2 (* x y)) (* 2 (* x y)) (log (* 2 (* x y))) (log (* 2 (* x y))) (log (* 2 (* x y))) (exp (* 2 (* x y))) (pow (* 2 (* x y)) 3) (pow (* 2 (* x y)) 3) (* (cbrt (* 2 (* x y))) (cbrt (* 2 (* x y)))) (cbrt (* 2 (* x y))) (pow (* 2 (* x y)) 3) (sqrt (* 2 (* x y))) (sqrt (* 2 (* x y))) (* 2 x) (* (cbrt 2) (* x y)) (* (sqrt 2) (* x y)) (* 2 (* x y)) (+ (* x (+ (* 2 y) x)) (pow y 2)) (+ (* x (+ (* 2 y) x)) (pow y 2)) (+ (* x (+ (* 2 y) x)) (pow y 2)) (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) 0.374 * * * [progress]: adding candidates to table 0.444 * * [progress]: iteration 4 / 4 0.444 * * * [progress]: picking best candidate 0.454 * * * * [pick]: Picked # 0.454 * * * [progress]: localizing error 0.463 * * * [progress]: generating rewritten candidates 0.463 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.473 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.480 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.486 * * * [progress]: generating series expansions 0.486 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.486 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.486 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.486 * [taylor]: Taking taylor expansion of 2 in y 0.486 * [taylor]: Taking taylor expansion of (* x y) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.487 * [taylor]: Taking taylor expansion of 2 in x 0.487 * [taylor]: Taking taylor expansion of (* x y) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.487 * [taylor]: Taking taylor expansion of 2 in x 0.487 * [taylor]: Taking taylor expansion of (* x y) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.487 * [taylor]: Taking taylor expansion of 2 in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of 1 in y 0.488 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.488 * [taylor]: Taking taylor expansion of 2 in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.488 * [taylor]: Taking taylor expansion of (* x y) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.488 * [taylor]: Taking taylor expansion of 2 in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.488 * [taylor]: Taking taylor expansion of (* x y) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.489 * [taylor]: Taking taylor expansion of 2 in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.489 * [taylor]: Taking taylor expansion of (* x y) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of 1 in y 0.489 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.489 * [taylor]: Taking taylor expansion of 2 in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.490 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.490 * [taylor]: Taking taylor expansion of 2 in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.490 * [taylor]: Taking taylor expansion of (* x y) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.491 * [taylor]: Taking taylor expansion of 2 in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.491 * [taylor]: Taking taylor expansion of (* x y) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.491 * [taylor]: Taking taylor expansion of 2 in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.491 * [taylor]: Taking taylor expansion of (* x y) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of 1 in y 0.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.491 * [taylor]: Taking taylor expansion of 2 in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.492 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.492 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [taylor]: Taking taylor expansion of 1 in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of 1 in y 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.496 * [taylor]: Taking taylor expansion of x in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of 1 in y 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.498 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.498 * [approximate]: Taking taylor expansion of (* 2 (* x y)) in (x y) around 0 0.498 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.498 * [taylor]: Taking taylor expansion of 2 in y 0.498 * [taylor]: Taking taylor expansion of (* x y) in y 0.498 * [taylor]: Taking taylor expansion of x in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.498 * [taylor]: Taking taylor expansion of 2 in x 0.498 * [taylor]: Taking taylor expansion of (* x y) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.498 * [taylor]: Taking taylor expansion of 2 in x 0.498 * [taylor]: Taking taylor expansion of (* x y) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.498 * [taylor]: Taking taylor expansion of 2 in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 0.499 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 0.499 * [taylor]: Taking taylor expansion of 2 in y 0.499 * [taylor]: Taking taylor expansion of (* x y) in y 0.499 * [taylor]: Taking taylor expansion of x in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.499 * [taylor]: Taking taylor expansion of 2 in x 0.499 * [taylor]: Taking taylor expansion of (* x y) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.499 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.499 * [taylor]: Taking taylor expansion of 2 in x 0.499 * [taylor]: Taking taylor expansion of (* x y) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.499 * [taylor]: Taking taylor expansion of (/ 2 y) in y 0.499 * [taylor]: Taking taylor expansion of 2 in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 0.500 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 0.500 * [taylor]: Taking taylor expansion of 2 in y 0.500 * [taylor]: Taking taylor expansion of (* x y) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.500 * [taylor]: Taking taylor expansion of 2 in x 0.500 * [taylor]: Taking taylor expansion of (* x y) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.500 * [taylor]: Taking taylor expansion of 2 in x 0.500 * [taylor]: Taking taylor expansion of (* x y) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (/ 2 y) in y 0.500 * [taylor]: Taking taylor expansion of 2 in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.501 * * * [progress]: simplifying candidates 0.502 * [simplify]: Simplifying using # : (* (* (exp (pow x 2)) (exp (pow y 2))) (exp (* 2 (* x y)))) (* (exp (+ (pow x 2) (pow y 2))) (exp (* 2 (* x y)))) (log (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))) (exp (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))) (* (cbrt (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))) (cbrt (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y))))) (cbrt (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))) (* (* (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y))) (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))) (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))) (sqrt (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))) (sqrt (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))) (+ (pow (+ (pow x 2) (pow y 2)) 3) (pow (* 2 (* x y)) 3)) (+ (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (- (* (* 2 (* x y)) (* 2 (* x y))) (* (+ (pow x 2) (pow y 2)) (* 2 (* x y))))) (- (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (* (* 2 (* x y)) (* 2 (* x y)))) (- (+ (pow x 2) (pow y 2)) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (* (exp (pow x 2)) (exp (pow y 2))) (log (+ (pow x 2) (pow y 2))) (exp (+ (pow x 2) (pow y 2))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) (cbrt (+ (pow x 2) (pow y 2))) (* (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow y 2)))) (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))) (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (* 2 (* x y)) (* 2 (* x y)) (+ (log 2) (+ (log x) (log y))) (+ (log 2) (log (* x y))) (log (* 2 (* x y))) (exp (* 2 (* x y))) (* (* (* 2 2) 2) (* (* (* x x) x) (* (* y y) y))) (* (* (* 2 2) 2) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (* 2 (* x y))) (cbrt (* 2 (* x y)))) (cbrt (* 2 (* x y))) (* (* (* 2 (* x y)) (* 2 (* x y))) (* 2 (* x y))) (sqrt (* 2 (* x y))) (sqrt (* 2 (* x y))) (* 2 x) (* (cbrt 2) (* x y)) (* (sqrt 2) (* x y)) (* 2 (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) 0.506 * * [simplify]: iteration 0 : 221 enodes (cost 283 ) 0.512 * * [simplify]: iteration 1 : 1012 enodes (cost 261 ) 0.536 * * [simplify]: iteration 2 : 5001 enodes (cost 261 ) 0.538 * [simplify]: Simplified to: (exp (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))) (exp (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))) (log (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))) (exp (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))) (* (cbrt (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))) (cbrt (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y))))) (cbrt (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))) (pow (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3) (sqrt (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))) (sqrt (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y)))) (+ (pow (+ (pow x 2) (pow y 2)) 3) (pow (* 2 (* x y)) 3)) (+ (* (* 2 (* x y)) (- (* 2 (* x y)) (+ (pow x 2) (pow y 2)))) (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)))) (+ (* -4 (* (* x y) (* x y))) (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)))) (+ (* y (- y (* 2 x))) (pow x 2)) (* y (+ (* 2 x) y)) (exp (+ (pow x 2) (pow y 2))) (log (+ (pow x 2) (pow y 2))) (exp (+ (pow x 2) (pow y 2))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) (cbrt (+ (pow x 2) (pow y 2))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (- (+ (pow x 4) (pow y 4)) (* (* x y) (* x y))) (+ (pow x 4) (neg (pow y 4))) (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (* 2 (* x y)) (* 2 (* x y)) (log (* 2 (* x y))) (log (* 2 (* x y))) (log (* 2 (* x y))) (exp (* 2 (* x y))) (pow (* 2 (* x y)) 3) (pow (* 2 (* x y)) 3) (* (cbrt (* 2 (* x y))) (cbrt (* 2 (* x y)))) (cbrt (* 2 (* x y))) (pow (* 2 (* x y)) 3) (sqrt (* 2 (* x y))) (sqrt (* 2 (* x y))) (* 2 x) (* (cbrt 2) (* x y)) (* (sqrt 2) (* x y)) (* 2 (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) 0.539 * * * [progress]: adding candidates to table 0.606 * [progress]: [Phase 3 of 3] Extracting. 0.606 * * [regime]: Finding splitpoints for: (# # # #) 0.607 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.607 * * * * [regimes]: Trying to branch on y from (# # # #) 0.644 * * * * [regimes]: Trying to branch on x from (# # # #) 0.683 * * * [regime]: Found split indices: #