0.330 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* 2.0 (+ (* x x) (* x y))) 0.018 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.019 * * [simplify]: iteration 1 : 19 enodes (cost 7 ) 0.021 * * [simplify]: iteration 2 : 40 enodes (cost 7 ) 0.027 * * [simplify]: iteration 3 : 60 enodes (cost 7 ) 0.039 * * [simplify]: iteration 4 : 66 enodes (cost 7 ) 0.047 * * [simplify]: iteration done : 66 enodes (cost 7 ) 0.047 * [simplify]: Simplified to: (* (* x (+ x y)) 2.0) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.060 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.071 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.071 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* x y)) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (* x y) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (* x y) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (* x y) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 1 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.077 * [taylor]: Taking taylor expansion of (* x y) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.078 * [taylor]: Taking taylor expansion of (* x y) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.079 * [taylor]: Taking taylor expansion of (* x y) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.089 * [taylor]: Taking taylor expansion of (* x y) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.090 * [taylor]: Taking taylor expansion of (* x y) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.091 * [taylor]: Taking taylor expansion of (* x y) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of 1 in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.101 * [approximate]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in (x y) around 0 0.101 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in y 0.101 * [taylor]: Taking taylor expansion of 2.0 in y 0.101 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [taylor]: Taking taylor expansion of (* x y) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in x 0.101 * [taylor]: Taking taylor expansion of 2.0 in x 0.101 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (* x y) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in x 0.101 * [taylor]: Taking taylor expansion of 2.0 in x 0.101 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (* x y) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.102 * [taylor]: Taking taylor expansion of 2.0 in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of 2.0 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.111 * [taylor]: Taking taylor expansion of 2.0 in y 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.111 * [taylor]: Taking taylor expansion of (* x y) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.112 * [taylor]: Taking taylor expansion of 2.0 in x 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.112 * [taylor]: Taking taylor expansion of (* x y) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.112 * [taylor]: Taking taylor expansion of 2.0 in x 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.113 * [taylor]: Taking taylor expansion of (* x y) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of 2.0 in y 0.118 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.118 * [taylor]: Taking taylor expansion of 2.0 in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.130 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.130 * [taylor]: Taking taylor expansion of 2.0 in y 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.131 * [taylor]: Taking taylor expansion of (* x y) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.131 * [taylor]: Taking taylor expansion of 2.0 in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.132 * [taylor]: Taking taylor expansion of (* x y) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.132 * [taylor]: Taking taylor expansion of 2.0 in x 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.133 * [taylor]: Taking taylor expansion of (* x y) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of 2.0 in y 0.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.135 * [taylor]: Taking taylor expansion of 2.0 in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * * * [progress]: simplifying candidates 0.147 * [simplify]: Simplifying using # : (expm1 (+ (* x x) (* x y))) (log1p (+ (* x x) (* x y))) (* (exp (* x x)) (exp (* x y))) (log (+ (* x x) (* x y))) (exp (+ (* x x) (* x y))) (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y)))) (cbrt (+ (* x x) (* x y))) (* (* (+ (* x x) (* x y)) (+ (* x x) (* x y))) (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (+ (pow (* x x) 3) (pow (* x y) 3)) (+ (* (* x x) (* x x)) (- (* (* x y) (* x y)) (* (* x x) (* x y)))) (- (* (* x x) (* x x)) (* (* x y) (* x y))) (- (* x x) (* x y)) (+ x y) (expm1 (* 2.0 (+ (* x x) (* x y)))) (log1p (* 2.0 (+ (* x x) (* x y)))) (* 2.0 (+ (* x x) (* x y))) (+ (log 2.0) (log (+ (* x x) (* x y)))) (log (* 2.0 (+ (* x x) (* x y)))) (exp (* 2.0 (+ (* x x) (* x y)))) (* (* (* 2.0 2.0) 2.0) (* (* (+ (* x x) (* x y)) (+ (* x x) (* x y))) (+ (* x x) (* x y)))) (* (cbrt (* 2.0 (+ (* x x) (* x y)))) (cbrt (* 2.0 (+ (* x x) (* x y))))) (cbrt (* 2.0 (+ (* x x) (* x y)))) (* (* (* 2.0 (+ (* x x) (* x y))) (* 2.0 (+ (* x x) (* x y)))) (* 2.0 (+ (* x x) (* x y)))) (sqrt (* 2.0 (+ (* x x) (* x y)))) (sqrt (* 2.0 (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* 2.0 (* x x)) (* 2.0 (* x y)) (* (* x x) 2.0) (* (* x y) 2.0) (* 2.0 (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))) (* 2.0 (sqrt (+ (* x x) (* x y)))) (* 2.0 1) (* 2.0 x) (* (cbrt 2.0) (+ (* x x) (* x y))) (* (sqrt 2.0) (+ (* x x) (* x y))) (* 2.0 (+ (* x x) (* x y))) (* 2.0 (+ (pow (* x x) 3) (pow (* x y) 3))) (* 2.0 (- (* (* x x) (* x x)) (* (* x y) (* x y)))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.149 * * [simplify]: iteration 0 : 66 enodes (cost 523 ) 0.161 * * [simplify]: iteration 1 : 200 enodes (cost 410 ) 0.207 * * [simplify]: iteration 2 : 805 enodes (cost 362 )