16.563 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.023 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.024 * * [simplify]: iteration 1 : 17 enodes (cost 13 ) 0.026 * * [simplify]: iteration 2 : 35 enodes (cost 11 ) 0.033 * * [simplify]: iteration 3 : 41 enodes (cost 11 ) 0.039 * * [simplify]: iteration done : 41 enodes (cost 11 ) 0.039 * [simplify]: Simplified to: (+ (* y y) (* x (+ (* 2.0 y) x))) 0.041 * * [progress]: iteration 1 / 4 0.041 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.062 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.066 * * * [progress]: generating series expansions 0.066 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.066 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.066 * [taylor]: Taking taylor expansion of 2.0 in y 0.066 * [taylor]: Taking taylor expansion of (* x y) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.066 * [taylor]: Taking taylor expansion of 2.0 in x 0.066 * [taylor]: Taking taylor expansion of (* x y) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.066 * [taylor]: Taking taylor expansion of 2.0 in x 0.066 * [taylor]: Taking taylor expansion of (* x y) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.068 * [taylor]: Taking taylor expansion of 2.0 in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of 1 in y 0.071 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.072 * [taylor]: Taking taylor expansion of 2.0 in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.072 * [taylor]: Taking taylor expansion of (* x y) in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.073 * [taylor]: Taking taylor expansion of 2.0 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.073 * [taylor]: Taking taylor expansion of (* x y) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.074 * [taylor]: Taking taylor expansion of 2.0 in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.075 * [taylor]: Taking taylor expansion of (* x y) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of 1 in y 0.076 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.076 * [taylor]: Taking taylor expansion of 2.0 in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.079 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.080 * [taylor]: Taking taylor expansion of 2.0 in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.080 * [taylor]: Taking taylor expansion of (* x y) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.081 * [taylor]: Taking taylor expansion of 2.0 in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.081 * [taylor]: Taking taylor expansion of (* x y) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.082 * [taylor]: Taking taylor expansion of 2.0 in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.082 * [taylor]: Taking taylor expansion of (* x y) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of 1 in y 0.084 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.084 * [taylor]: Taking taylor expansion of 2.0 in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.087 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.087 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.088 * [taylor]: Taking taylor expansion of 2.0 in y 0.088 * [taylor]: Taking taylor expansion of (* x y) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.088 * [taylor]: Taking taylor expansion of 2.0 in x 0.088 * [taylor]: Taking taylor expansion of (* x y) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.088 * [taylor]: Taking taylor expansion of 2.0 in x 0.088 * [taylor]: Taking taylor expansion of (* x y) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.089 * [taylor]: Taking taylor expansion of 2.0 in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of 1 in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.097 * [taylor]: Taking taylor expansion of 2.0 in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.097 * [taylor]: Taking taylor expansion of (* x y) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.098 * [taylor]: Taking taylor expansion of 2.0 in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.098 * [taylor]: Taking taylor expansion of (* x y) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.099 * [taylor]: Taking taylor expansion of 2.0 in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.099 * [taylor]: Taking taylor expansion of (* x y) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.100 * [taylor]: Taking taylor expansion of 1 in y 0.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.100 * [taylor]: Taking taylor expansion of 2.0 in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.113 * [taylor]: Taking taylor expansion of 2.0 in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.114 * [taylor]: Taking taylor expansion of (* x y) in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.114 * [taylor]: Taking taylor expansion of 2.0 in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.114 * [taylor]: Taking taylor expansion of (* x y) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (* 2.0 (/ 1 (* x y))) in x 0.115 * [taylor]: Taking taylor expansion of 2.0 in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.115 * [taylor]: Taking taylor expansion of (* x y) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.116 * [taylor]: Taking taylor expansion of 1 in y 0.117 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.117 * [taylor]: Taking taylor expansion of 2.0 in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * * * [progress]: simplifying candidates 0.127 * [simplify]: Simplifying using # : (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.129 * * [simplify]: iteration 0 : 58 enodes (cost 525 ) 0.142 * * [simplify]: iteration 1 : 190 enodes (cost 459 ) 0.207 * * [simplify]: iteration 2 : 792 enodes (cost 381 ) 0.547 * * [simplify]: iteration 3 : 3438 enodes (cost 373 ) 1.923 * * [simplify]: iteration done : 5000 enodes (cost 373 ) 1.924 * [simplify]: Simplified to: (exp (+ (* x x) (* y (+ (* x 2.0) y)))) (exp (+ (* x x) (* y (+ (* x 2.0) y)))) (log (+ (* x x) (* y (+ (* x 2.0) y)))) (exp (+ (* x x) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y))))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (pow (+ (* x x) (* y (+ (* x 2.0) y))) 3) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow y 6)) (- (pow y 4) (* (* x (+ (* 2.0 y) x)) (- (* y y) (* x (+ (* 2.0 y) x))))) (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (pow y 4)) (+ (* x x) (* y (- (* x 2.0) y))) (* y (+ (* x 2.0) y)) (exp (* x (+ (* 2.0 y) x))) (log (* x (+ (* 2.0 y) x))) (exp (* x (+ (* 2.0 y) x))) (* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x)))) (cbrt (* x (+ (* 2.0 y) x))) (pow (* x (+ (* 2.0 y) x)) 3) (sqrt (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (+ (pow x 6) (pow (* (* x 2.0) y) 3)) (+ (* (* (* x 2.0) y) (* x (- (* 2.0 y) x))) (pow x 4)) (- (pow x 4) (* (* (* x 2.0) y) (* (* x 2.0) y))) (* x (- x (* 2.0 y))) (+ (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (+ (* x 2.0) y))) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) 1.924 * * * [progress]: adding candidates to table 1.979 * * [progress]: iteration 2 / 4 1.979 * * * [progress]: picking best candidate 1.981 * * * * [pick]: Picked # 1.981 * * * [progress]: localizing error 1.988 * * * [progress]: generating rewritten candidates 1.988 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.991 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.005 * * * [progress]: generating series expansions 2.005 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.005 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 2.005 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 2.005 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.005 * [taylor]: Taking taylor expansion of x in y 2.005 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 2.005 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.005 * [taylor]: Taking taylor expansion of y in y 2.005 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 2.005 * [taylor]: Taking taylor expansion of 2.0 in y 2.005 * [taylor]: Taking taylor expansion of (* x y) in y 2.005 * [taylor]: Taking taylor expansion of x in y 2.005 * [taylor]: Taking taylor expansion of y in y 2.005 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 2.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.005 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 2.005 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.005 * [taylor]: Taking taylor expansion of y in x 2.005 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 2.005 * [taylor]: Taking taylor expansion of 2.0 in x 2.005 * [taylor]: Taking taylor expansion of (* x y) in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.005 * [taylor]: Taking taylor expansion of y in x 2.005 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 2.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.005 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 2.005 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.005 * [taylor]: Taking taylor expansion of y in x 2.005 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 2.005 * [taylor]: Taking taylor expansion of 2.0 in x 2.005 * [taylor]: Taking taylor expansion of (* x y) in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.005 * [taylor]: Taking taylor expansion of y in x 2.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.006 * [taylor]: Taking taylor expansion of y in y 2.007 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 2.007 * [taylor]: Taking taylor expansion of 2.0 in y 2.007 * [taylor]: Taking taylor expansion of y in y 2.009 * [taylor]: Taking taylor expansion of 1 in y 2.011 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 2.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.011 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.011 * [taylor]: Taking taylor expansion of x in y 2.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.011 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.011 * [taylor]: Taking taylor expansion of y in y 2.012 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.012 * [taylor]: Taking taylor expansion of 2.0 in y 2.012 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.012 * [taylor]: Taking taylor expansion of (* x y) in y 2.012 * [taylor]: Taking taylor expansion of x in y 2.012 * [taylor]: Taking taylor expansion of y in y 2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.012 * [taylor]: Taking taylor expansion of x in x 2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.013 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.013 * [taylor]: Taking taylor expansion of y in x 2.013 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.013 * [taylor]: Taking taylor expansion of 2.0 in x 2.013 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.013 * [taylor]: Taking taylor expansion of (* x y) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.013 * [taylor]: Taking taylor expansion of y in x 2.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 2.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.014 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.014 * [taylor]: Taking taylor expansion of y in x 2.014 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.014 * [taylor]: Taking taylor expansion of 2.0 in x 2.014 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.014 * [taylor]: Taking taylor expansion of (* x y) in x 2.014 * [taylor]: Taking taylor expansion of x in x 2.014 * [taylor]: Taking taylor expansion of y in x 2.014 * [taylor]: Taking taylor expansion of 1 in y 2.015 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.015 * [taylor]: Taking taylor expansion of 2.0 in y 2.015 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.015 * [taylor]: Taking taylor expansion of y in y 2.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.018 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.018 * [taylor]: Taking taylor expansion of y in y 2.019 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 2.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 2.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.019 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.019 * [taylor]: Taking taylor expansion of x in y 2.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 2.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.019 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.019 * [taylor]: Taking taylor expansion of y in y 2.020 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.020 * [taylor]: Taking taylor expansion of 2.0 in y 2.020 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.020 * [taylor]: Taking taylor expansion of (* x y) in y 2.020 * [taylor]: Taking taylor expansion of x in y 2.020 * [taylor]: Taking taylor expansion of y in y 2.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 2.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.020 * [taylor]: Taking taylor expansion of x in x 2.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.021 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.021 * [taylor]: Taking taylor expansion of y in x 2.021 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.021 * [taylor]: Taking taylor expansion of 2.0 in x 2.021 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.021 * [taylor]: Taking taylor expansion of (* x y) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [taylor]: Taking taylor expansion of y in x 2.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 2.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.022 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.022 * [taylor]: Taking taylor expansion of y in x 2.022 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.022 * [taylor]: Taking taylor expansion of 2.0 in x 2.022 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.022 * [taylor]: Taking taylor expansion of (* x y) in x 2.022 * [taylor]: Taking taylor expansion of x in x 2.022 * [taylor]: Taking taylor expansion of y in x 2.023 * [taylor]: Taking taylor expansion of 1 in y 2.023 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.024 * [taylor]: Taking taylor expansion of 2.0 in y 2.024 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.024 * [taylor]: Taking taylor expansion of y in y 2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.026 * [taylor]: Taking taylor expansion of y in y 2.027 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.027 * [approximate]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in (y x) around 0 2.027 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in x 2.027 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in x 2.027 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 2.027 * [taylor]: Taking taylor expansion of 2.0 in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of y in x 2.027 * [taylor]: Taking taylor expansion of y in x 2.027 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 2.027 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 2.027 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 2.027 * [taylor]: Taking taylor expansion of 2.0 in y 2.027 * [taylor]: Taking taylor expansion of x in y 2.027 * [taylor]: Taking taylor expansion of y in y 2.027 * [taylor]: Taking taylor expansion of y in y 2.027 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 2.027 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 2.027 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 2.027 * [taylor]: Taking taylor expansion of 2.0 in y 2.027 * [taylor]: Taking taylor expansion of x in y 2.027 * [taylor]: Taking taylor expansion of y in y 2.027 * [taylor]: Taking taylor expansion of y in y 2.027 * [taylor]: Taking taylor expansion of 0 in x 2.028 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 2.028 * [taylor]: Taking taylor expansion of 2.0 in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.030 * [taylor]: Taking taylor expansion of 1 in x 2.032 * [taylor]: Taking taylor expansion of 0 in x 2.034 * [taylor]: Taking taylor expansion of 0 in x 2.035 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 2.035 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 2.035 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 2.035 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.035 * [taylor]: Taking taylor expansion of y in x 2.035 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.035 * [taylor]: Taking taylor expansion of 2.0 in x 2.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.035 * [taylor]: Taking taylor expansion of x in x 2.035 * [taylor]: Taking taylor expansion of y in x 2.036 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 2.036 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 2.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.036 * [taylor]: Taking taylor expansion of y in y 2.036 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 2.036 * [taylor]: Taking taylor expansion of 2.0 in y 2.036 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.036 * [taylor]: Taking taylor expansion of x in y 2.036 * [taylor]: Taking taylor expansion of y in y 2.037 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 2.037 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 2.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.037 * [taylor]: Taking taylor expansion of y in y 2.037 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 2.037 * [taylor]: Taking taylor expansion of 2.0 in y 2.037 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.037 * [taylor]: Taking taylor expansion of x in y 2.037 * [taylor]: Taking taylor expansion of y in y 2.038 * [taylor]: Taking taylor expansion of 1 in x 2.038 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.038 * [taylor]: Taking taylor expansion of 2.0 in x 2.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.038 * [taylor]: Taking taylor expansion of x in x 2.041 * [taylor]: Taking taylor expansion of 0 in x 2.044 * [taylor]: Taking taylor expansion of 0 in x 2.048 * [taylor]: Taking taylor expansion of 0 in x 2.048 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 2.049 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 2.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 2.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.049 * [taylor]: Taking taylor expansion of y in x 2.049 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.049 * [taylor]: Taking taylor expansion of 2.0 in x 2.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.049 * [taylor]: Taking taylor expansion of y in x 2.050 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 2.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 2.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.050 * [taylor]: Taking taylor expansion of y in y 2.050 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 2.050 * [taylor]: Taking taylor expansion of 2.0 in y 2.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.050 * [taylor]: Taking taylor expansion of x in y 2.050 * [taylor]: Taking taylor expansion of y in y 2.050 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 2.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 2.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.050 * [taylor]: Taking taylor expansion of y in y 2.051 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 2.051 * [taylor]: Taking taylor expansion of 2.0 in y 2.051 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.051 * [taylor]: Taking taylor expansion of x in y 2.051 * [taylor]: Taking taylor expansion of y in y 2.051 * [taylor]: Taking taylor expansion of 1 in x 2.052 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.052 * [taylor]: Taking taylor expansion of 2.0 in x 2.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.052 * [taylor]: Taking taylor expansion of x in x 2.055 * [taylor]: Taking taylor expansion of 0 in x 2.058 * [taylor]: Taking taylor expansion of 0 in x 2.062 * [taylor]: Taking taylor expansion of 0 in x 2.062 * * * [progress]: simplifying candidates 2.063 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp (* y (+ (* x 2.0) y)))) (log (+ (* x x) (* y (+ (* x 2.0) y)))) (exp (+ (* x x) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y))))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (* (* (+ (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (+ (* x 2.0) y)))) (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (+ (pow (* x x) 3) (pow (* y (+ (* x 2.0) y)) 3)) (+ (* (* x x) (* x x)) (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* (* x x) (* y (+ (* x 2.0) y))))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)))) (- (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (* x 2.0))) (+ (* x x) (* (* x 2.0) y)) (* y (+ (* x 2.0) y)) (+ (log y) (log (+ (* x 2.0) y))) (log (* y (+ (* x 2.0) y))) (exp (* y (+ (* x 2.0) y))) (* (* (* y y) y) (* (* (+ (* x 2.0) y) (+ (* x 2.0) y)) (+ (* x 2.0) y))) (* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y)))) (cbrt (* y (+ (* x 2.0) y))) (* (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* y (* x 2.0)) (* y y) (* (* x 2.0) y) (* y y) (* y (* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))) (* y (sqrt (+ (* x 2.0) y))) (* y 1) (* (cbrt y) (+ (* x 2.0) y)) (* (sqrt y) (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (pow (* x 2.0) 3) (pow y 3))) (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) 2.065 * * [simplify]: iteration 0 : 72 enodes (cost 527 ) 2.084 * * [simplify]: iteration 1 : 218 enodes (cost 487 ) 2.139 * * [simplify]: iteration 2 : 870 enodes (cost 439 ) 2.747 * * [simplify]: iteration 3 : 4400 enodes (cost 439 ) 4.472 * * [simplify]: iteration done : 5000 enodes (cost 439 ) 4.473 * [simplify]: Simplified to: (exp (+ (* x x) (* y (+ (* x 2.0) y)))) (log (+ (* x x) (* y (+ (* x 2.0) y)))) (exp (+ (* x x) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y))))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (pow (+ (* x x) (* y (+ (* x 2.0) y))) 3) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (+ (pow (* y (+ (* x 2.0) y)) 3) (pow x 6)) (+ (pow x 4) (* (* y (+ (* x 2.0) y)) (- (* y (+ (* x 2.0) y)) (* x x)))) (- (pow x 4) (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)))) (- (* x x) (* y (+ (* x 2.0) y))) (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y))) (* y (+ (* x 2.0) y)) (log (* y (+ (* x 2.0) y))) (log (* y (+ (* x 2.0) y))) (exp (* y (+ (* x 2.0) y))) (pow (* y (+ (* x 2.0) y)) 3) (* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y)))) (cbrt (* y (+ (* x 2.0) y))) (pow (* y (+ (* x 2.0) y)) 3) (sqrt (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* (* x 2.0) y) (* y y) (* (* x 2.0) y) (* y y) (* y (* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))) (* y (sqrt (+ (* x 2.0) y))) y (* (cbrt y) (+ (* x 2.0) y)) (* (sqrt y) (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (pow (* x 2.0) 3) (pow y 3))) (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (+ (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (+ (* x 2.0) y))) (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) 4.473 * * * [progress]: adding candidates to table 4.538 * * [progress]: iteration 3 / 4 4.538 * * * [progress]: picking best candidate 4.539 * * * * [pick]: Picked # 4.539 * * * [progress]: localizing error 4.546 * * * [progress]: generating rewritten candidates 4.546 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 4.556 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 4.560 * * * [progress]: generating series expansions 4.560 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 4.560 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 4.560 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 4.560 * [taylor]: Taking taylor expansion of x in y 4.560 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 4.560 * [taylor]: Taking taylor expansion of x in y 4.560 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 4.560 * [taylor]: Taking taylor expansion of 2.0 in y 4.560 * [taylor]: Taking taylor expansion of y in y 4.560 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 4.560 * [taylor]: Taking taylor expansion of x in x 4.560 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 4.560 * [taylor]: Taking taylor expansion of x in x 4.560 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 4.560 * [taylor]: Taking taylor expansion of 2.0 in x 4.560 * [taylor]: Taking taylor expansion of y in x 4.560 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 4.561 * [taylor]: Taking taylor expansion of x in x 4.561 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 4.561 * [taylor]: Taking taylor expansion of x in x 4.561 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 4.561 * [taylor]: Taking taylor expansion of 2.0 in x 4.561 * [taylor]: Taking taylor expansion of y in x 4.561 * [taylor]: Taking taylor expansion of 0 in y 4.562 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 4.562 * [taylor]: Taking taylor expansion of 2.0 in y 4.562 * [taylor]: Taking taylor expansion of y in y 4.563 * [taylor]: Taking taylor expansion of 1 in y 4.566 * [taylor]: Taking taylor expansion of 0 in y 4.569 * [taylor]: Taking taylor expansion of 0 in y 4.569 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 4.569 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 4.569 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 4.569 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 4.569 * [taylor]: Taking taylor expansion of 2.0 in y 4.569 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.569 * [taylor]: Taking taylor expansion of y in y 4.569 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.569 * [taylor]: Taking taylor expansion of x in y 4.570 * [taylor]: Taking taylor expansion of x in y 4.570 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 4.570 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 4.570 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 4.570 * [taylor]: Taking taylor expansion of 2.0 in x 4.570 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.570 * [taylor]: Taking taylor expansion of y in x 4.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.570 * [taylor]: Taking taylor expansion of x in x 4.570 * [taylor]: Taking taylor expansion of x in x 4.571 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 4.571 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 4.571 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 4.571 * [taylor]: Taking taylor expansion of 2.0 in x 4.571 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.571 * [taylor]: Taking taylor expansion of y in x 4.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.571 * [taylor]: Taking taylor expansion of x in x 4.571 * [taylor]: Taking taylor expansion of x in x 4.572 * [taylor]: Taking taylor expansion of 1 in y 4.573 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 4.573 * [taylor]: Taking taylor expansion of 2.0 in y 4.573 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.573 * [taylor]: Taking taylor expansion of y in y 4.578 * [taylor]: Taking taylor expansion of 0 in y 4.582 * [taylor]: Taking taylor expansion of 0 in y 4.586 * [taylor]: Taking taylor expansion of 0 in y 4.586 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 4.586 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 4.586 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 4.586 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 4.586 * [taylor]: Taking taylor expansion of 2.0 in y 4.586 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.586 * [taylor]: Taking taylor expansion of y in y 4.587 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.587 * [taylor]: Taking taylor expansion of x in y 4.587 * [taylor]: Taking taylor expansion of x in y 4.587 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 4.587 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 4.587 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 4.587 * [taylor]: Taking taylor expansion of 2.0 in x 4.587 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.587 * [taylor]: Taking taylor expansion of y in x 4.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.587 * [taylor]: Taking taylor expansion of x in x 4.588 * [taylor]: Taking taylor expansion of x in x 4.588 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 4.588 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 4.588 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 4.588 * [taylor]: Taking taylor expansion of 2.0 in x 4.588 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.588 * [taylor]: Taking taylor expansion of y in x 4.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.588 * [taylor]: Taking taylor expansion of x in x 4.589 * [taylor]: Taking taylor expansion of x in x 4.589 * [taylor]: Taking taylor expansion of 1 in y 4.590 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 4.590 * [taylor]: Taking taylor expansion of 2.0 in y 4.590 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.590 * [taylor]: Taking taylor expansion of y in y 4.593 * [taylor]: Taking taylor expansion of 0 in y 4.596 * [taylor]: Taking taylor expansion of 0 in y 4.601 * [taylor]: Taking taylor expansion of 0 in y 4.601 * * * * [progress]: [ 2 / 2 ] generating series at (2) 4.601 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (y x) around 0 4.601 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 4.601 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.601 * [taylor]: Taking taylor expansion of x in x 4.601 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 4.601 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.601 * [taylor]: Taking taylor expansion of y in x 4.601 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 4.601 * [taylor]: Taking taylor expansion of 2.0 in x 4.601 * [taylor]: Taking taylor expansion of (* x y) in x 4.601 * [taylor]: Taking taylor expansion of x in x 4.601 * [taylor]: Taking taylor expansion of y in x 4.601 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 4.602 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.602 * [taylor]: Taking taylor expansion of x in y 4.602 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 4.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.602 * [taylor]: Taking taylor expansion of y in y 4.602 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 4.602 * [taylor]: Taking taylor expansion of 2.0 in y 4.602 * [taylor]: Taking taylor expansion of (* x y) in y 4.602 * [taylor]: Taking taylor expansion of x in y 4.602 * [taylor]: Taking taylor expansion of y in y 4.602 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 4.602 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.602 * [taylor]: Taking taylor expansion of x in y 4.602 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 4.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.602 * [taylor]: Taking taylor expansion of y in y 4.602 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 4.602 * [taylor]: Taking taylor expansion of 2.0 in y 4.602 * [taylor]: Taking taylor expansion of (* x y) in y 4.602 * [taylor]: Taking taylor expansion of x in y 4.602 * [taylor]: Taking taylor expansion of y in y 4.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.603 * [taylor]: Taking taylor expansion of x in x 4.603 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 4.603 * [taylor]: Taking taylor expansion of 2.0 in x 4.603 * [taylor]: Taking taylor expansion of x in x 4.605 * [taylor]: Taking taylor expansion of 1 in x 4.607 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 4.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 4.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.607 * [taylor]: Taking taylor expansion of x in x 4.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 4.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.608 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.608 * [taylor]: Taking taylor expansion of y in x 4.608 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 4.608 * [taylor]: Taking taylor expansion of 2.0 in x 4.608 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.608 * [taylor]: Taking taylor expansion of (* x y) in x 4.608 * [taylor]: Taking taylor expansion of x in x 4.608 * [taylor]: Taking taylor expansion of y in x 4.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 4.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.608 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.608 * [taylor]: Taking taylor expansion of x in y 4.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 4.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.609 * [taylor]: Taking taylor expansion of y in y 4.609 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 4.609 * [taylor]: Taking taylor expansion of 2.0 in y 4.609 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.609 * [taylor]: Taking taylor expansion of (* x y) in y 4.609 * [taylor]: Taking taylor expansion of x in y 4.609 * [taylor]: Taking taylor expansion of y in y 4.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 4.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.610 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.610 * [taylor]: Taking taylor expansion of x in y 4.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 4.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.610 * [taylor]: Taking taylor expansion of y in y 4.610 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 4.610 * [taylor]: Taking taylor expansion of 2.0 in y 4.610 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.610 * [taylor]: Taking taylor expansion of (* x y) in y 4.610 * [taylor]: Taking taylor expansion of x in y 4.610 * [taylor]: Taking taylor expansion of y in y 4.611 * [taylor]: Taking taylor expansion of 1 in x 4.612 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 4.612 * [taylor]: Taking taylor expansion of 2.0 in x 4.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.612 * [taylor]: Taking taylor expansion of x in x 4.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.615 * [taylor]: Taking taylor expansion of x in x 4.616 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 4.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 4.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.616 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.616 * [taylor]: Taking taylor expansion of x in x 4.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 4.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.616 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.617 * [taylor]: Taking taylor expansion of y in x 4.617 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 4.617 * [taylor]: Taking taylor expansion of 2.0 in x 4.617 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.617 * [taylor]: Taking taylor expansion of (* x y) in x 4.617 * [taylor]: Taking taylor expansion of x in x 4.617 * [taylor]: Taking taylor expansion of y in x 4.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 4.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.617 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.617 * [taylor]: Taking taylor expansion of x in y 4.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 4.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.617 * [taylor]: Taking taylor expansion of y in y 4.618 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 4.618 * [taylor]: Taking taylor expansion of 2.0 in y 4.618 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.618 * [taylor]: Taking taylor expansion of (* x y) in y 4.618 * [taylor]: Taking taylor expansion of x in y 4.618 * [taylor]: Taking taylor expansion of y in y 4.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 4.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.618 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.618 * [taylor]: Taking taylor expansion of x in y 4.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 4.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.618 * [taylor]: Taking taylor expansion of y in y 4.619 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 4.619 * [taylor]: Taking taylor expansion of 2.0 in y 4.619 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.619 * [taylor]: Taking taylor expansion of (* x y) in y 4.619 * [taylor]: Taking taylor expansion of x in y 4.619 * [taylor]: Taking taylor expansion of y in y 4.620 * [taylor]: Taking taylor expansion of 1 in x 4.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 4.621 * [taylor]: Taking taylor expansion of 2.0 in x 4.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.621 * [taylor]: Taking taylor expansion of x in x 4.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.623 * [taylor]: Taking taylor expansion of x in x 4.624 * * * [progress]: simplifying candidates 4.625 * [simplify]: Simplifying using # : (* x (+ (* 2.0 y) x)) (+ (log x) (log (+ (* 2.0 y) x))) (log (* x (+ (* 2.0 y) x))) (exp (* x (+ (* 2.0 y) x))) (* (* (* x x) x) (* (* (+ (* 2.0 y) x) (+ (* 2.0 y) x)) (+ (* 2.0 y) x))) (* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x)))) (cbrt (* x (+ (* 2.0 y) x))) (* (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* x (* 2.0 y)) (* x x) (* (* 2.0 y) x) (* x x) (* x (* (cbrt (+ (* 2.0 y) x)) (cbrt (+ (* 2.0 y) x)))) (* x (sqrt (+ (* 2.0 y) x))) (* x 1) (* (cbrt x) (+ (* 2.0 y) x)) (* (sqrt x) (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (* x (- (* (* 2.0 y) (* 2.0 y)) (* x x))) (* (exp (* y y)) (exp (* x (+ (* 2.0 y) x)))) (log (+ (* y y) (* x (+ (* 2.0 y) x)))) (exp (+ (* y y) (* x (+ (* 2.0 y) x)))) (* (cbrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (cbrt (+ (* y y) (* x (+ (* 2.0 y) x))))) (cbrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (* (* (+ (* y y) (* x (+ (* 2.0 y) x))) (+ (* y y) (* x (+ (* 2.0 y) x)))) (+ (* y y) (* x (+ (* 2.0 y) x)))) (sqrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (sqrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (+ (pow (* y y) 3) (pow (* x (+ (* 2.0 y) x)) 3)) (+ (* (* y y) (* y y)) (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* x (+ (* 2.0 y) x))))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)))) (- (* y y) (* x (+ (* 2.0 y) x))) (+ (* y y) (* x (* 2.0 y))) (+ (* y y) (* (* 2.0 y) x)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 4.627 * * [simplify]: iteration 0 : 73 enodes (cost 527 ) 4.644 * * [simplify]: iteration 1 : 222 enodes (cost 493 ) 4.703 * * [simplify]: iteration 2 : 859 enodes (cost 439 ) 5.314 * * [simplify]: iteration 3 : 4307 enodes (cost 439 ) 7.077 * * [simplify]: iteration done : 5001 enodes (cost 439 ) 7.077 * [simplify]: Simplified to: (* x (+ (* 2.0 y) x)) (log (* x (+ (* 2.0 y) x))) (log (* x (+ (* 2.0 y) x))) (exp (* x (+ (* 2.0 y) x))) (pow (* x (+ (* 2.0 y) x)) 3) (* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x)))) (cbrt (* x (+ (* 2.0 y) x))) (pow (* x (+ (* 2.0 y) x)) 3) (sqrt (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* (* 2.0 y) x) (* x x) (* (* 2.0 y) x) (* x x) (* x (* (cbrt (+ (* 2.0 y) x)) (cbrt (+ (* 2.0 y) x)))) (* x (sqrt (+ (* 2.0 y) x))) x (* (cbrt x) (+ (* 2.0 y) x)) (* (sqrt x) (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (* x (- (* (* 2.0 y) (* 2.0 y)) (* x x))) (exp (+ (* y y) (* x (+ (* 2.0 y) x)))) (log (+ (* y y) (* x (+ (* 2.0 y) x)))) (exp (+ (* y y) (* x (+ (* 2.0 y) x)))) (* (cbrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (cbrt (+ (* y y) (* x (+ (* 2.0 y) x))))) (cbrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (pow (+ (* x (+ (* 2.0 y) x)) (* y y)) 3) (sqrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (sqrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (+ (pow y 6) (pow (* x (+ (* 2.0 y) x)) 3)) (+ (* (* x (+ (* 2.0 y) x)) (- (* x (+ (* 2.0 y) x)) (* y y))) (pow y 4)) (- (pow y 4) (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)))) (- (* y y) (* x (+ (* 2.0 y) x))) (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (+ (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y)) 7.077 * * * [progress]: adding candidates to table 7.151 * [progress]: [Phase 3 of 3] Extracting. 7.152 * * [regime]: Finding splitpoints for: (# # #) 7.152 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 7.152 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# # #) 7.165 * * * * [regimes]: Trying to branch on y from (# # #) 7.177 * * * * [regimes]: Trying to branch on x from (# # #) 7.192 * * * [regime]: Found split indices: #