132.350 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) 0.031 * * [simplify]: iteration 0 : 11 enodes (cost 19 ) 0.033 * * [simplify]: iteration 1 : 23 enodes (cost 17 ) 0.036 * * [simplify]: iteration 2 : 54 enodes (cost 16 ) 0.043 * * [simplify]: iteration 3 : 118 enodes (cost 16 ) 0.063 * * [simplify]: iteration 4 : 282 enodes (cost 11 ) 0.118 * * [simplify]: iteration 5 : 646 enodes (cost 11 ) 0.270 * * [simplify]: iteration 6 : 1642 enodes (cost 11 ) 0.725 * * [simplify]: iteration 7 : 4495 enodes (cost 11 ) 1.874 * * [simplify]: iteration done : 5000 enodes (cost 11 ) 1.874 * [simplify]: Simplified to: (- (* 3 (* (* x.re x.im) x.re)) (pow x.im 3)) 1.877 * * [progress]: iteration 1 / 4 1.877 * * * [progress]: picking best candidate 1.880 * * * * [pick]: Picked # 1.880 * * * [progress]: localizing error 1.888 * * * [progress]: generating rewritten candidates 1.888 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 1.905 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 1.917 * * * [progress]: generating series expansions 1.917 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.917 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.re x.im) around 0 1.917 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 1.917 * [taylor]: Taking taylor expansion of 3 in x.im 1.917 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.917 * [taylor]: Taking taylor expansion of x.im in x.im 1.917 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.917 * [taylor]: Taking taylor expansion of x.re in x.im 1.917 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 1.917 * [taylor]: Taking taylor expansion of 3 in x.re 1.917 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.917 * [taylor]: Taking taylor expansion of x.im in x.re 1.917 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.917 * [taylor]: Taking taylor expansion of x.re in x.re 1.918 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 1.918 * [taylor]: Taking taylor expansion of 3 in x.re 1.918 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.918 * [taylor]: Taking taylor expansion of x.im in x.re 1.918 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.918 * [taylor]: Taking taylor expansion of x.re in x.re 1.918 * [taylor]: Taking taylor expansion of (* 3 x.im) in x.im 1.918 * [taylor]: Taking taylor expansion of 3 in x.im 1.918 * [taylor]: Taking taylor expansion of x.im in x.im 1.920 * [taylor]: Taking taylor expansion of 0 in x.im 1.922 * [taylor]: Taking taylor expansion of 0 in x.im 1.924 * [taylor]: Taking taylor expansion of 0 in x.im 1.924 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.re x.im) around 0 1.924 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 1.924 * [taylor]: Taking taylor expansion of 3 in x.im 1.924 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.924 * [taylor]: Taking taylor expansion of x.im in x.im 1.924 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.924 * [taylor]: Taking taylor expansion of x.re in x.im 1.925 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 1.925 * [taylor]: Taking taylor expansion of 3 in x.re 1.925 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.925 * [taylor]: Taking taylor expansion of x.im in x.re 1.925 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.925 * [taylor]: Taking taylor expansion of x.re in x.re 1.925 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 1.925 * [taylor]: Taking taylor expansion of 3 in x.re 1.925 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.925 * [taylor]: Taking taylor expansion of x.im in x.re 1.925 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.925 * [taylor]: Taking taylor expansion of x.re in x.re 1.926 * [taylor]: Taking taylor expansion of (/ 3 x.im) in x.im 1.926 * [taylor]: Taking taylor expansion of 3 in x.im 1.926 * [taylor]: Taking taylor expansion of x.im in x.im 1.927 * [taylor]: Taking taylor expansion of 0 in x.im 1.928 * [taylor]: Taking taylor expansion of 0 in x.im 1.930 * [taylor]: Taking taylor expansion of 0 in x.im 1.931 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.re x.im) around 0 1.931 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 1.931 * [taylor]: Taking taylor expansion of -3 in x.im 1.931 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.931 * [taylor]: Taking taylor expansion of x.im in x.im 1.931 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.931 * [taylor]: Taking taylor expansion of x.re in x.im 1.932 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 1.932 * [taylor]: Taking taylor expansion of -3 in x.re 1.932 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.932 * [taylor]: Taking taylor expansion of x.im in x.re 1.932 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.932 * [taylor]: Taking taylor expansion of x.re in x.re 1.932 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 1.932 * [taylor]: Taking taylor expansion of -3 in x.re 1.932 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.932 * [taylor]: Taking taylor expansion of x.im in x.re 1.932 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.932 * [taylor]: Taking taylor expansion of x.re in x.re 1.932 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 1.932 * [taylor]: Taking taylor expansion of -3 in x.im 1.932 * [taylor]: Taking taylor expansion of x.im in x.im 1.933 * [taylor]: Taking taylor expansion of 0 in x.im 1.935 * [taylor]: Taking taylor expansion of 0 in x.im 1.937 * [taylor]: Taking taylor expansion of 0 in x.im 1.938 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 1.938 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.re x.im) around 0 1.938 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.938 * [taylor]: Taking taylor expansion of x.im in x.im 1.938 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.938 * [taylor]: Taking taylor expansion of x.re in x.im 1.938 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.938 * [taylor]: Taking taylor expansion of x.im in x.re 1.938 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.938 * [taylor]: Taking taylor expansion of x.re in x.re 1.938 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.938 * [taylor]: Taking taylor expansion of x.im in x.re 1.938 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.938 * [taylor]: Taking taylor expansion of x.re in x.re 1.938 * [taylor]: Taking taylor expansion of x.im in x.im 1.939 * [taylor]: Taking taylor expansion of 0 in x.im 1.940 * [taylor]: Taking taylor expansion of 0 in x.im 1.941 * [taylor]: Taking taylor expansion of 0 in x.im 1.941 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.re x.im) around 0 1.941 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 1.941 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.941 * [taylor]: Taking taylor expansion of x.im in x.im 1.941 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.941 * [taylor]: Taking taylor expansion of x.re in x.im 1.942 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 1.942 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.942 * [taylor]: Taking taylor expansion of x.im in x.re 1.942 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.942 * [taylor]: Taking taylor expansion of x.re in x.re 1.942 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 1.942 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.942 * [taylor]: Taking taylor expansion of x.im in x.re 1.942 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.942 * [taylor]: Taking taylor expansion of x.re in x.re 1.943 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.943 * [taylor]: Taking taylor expansion of x.im in x.im 1.944 * [taylor]: Taking taylor expansion of 0 in x.im 1.945 * [taylor]: Taking taylor expansion of 0 in x.im 1.947 * [taylor]: Taking taylor expansion of 0 in x.im 1.948 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.re x.im) around 0 1.948 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 1.948 * [taylor]: Taking taylor expansion of -1 in x.im 1.948 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.948 * [taylor]: Taking taylor expansion of x.im in x.im 1.948 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.948 * [taylor]: Taking taylor expansion of x.re in x.im 1.948 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 1.948 * [taylor]: Taking taylor expansion of -1 in x.re 1.948 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.948 * [taylor]: Taking taylor expansion of x.im in x.re 1.948 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.948 * [taylor]: Taking taylor expansion of x.re in x.re 1.949 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 1.949 * [taylor]: Taking taylor expansion of -1 in x.re 1.949 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.949 * [taylor]: Taking taylor expansion of x.im in x.re 1.949 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.949 * [taylor]: Taking taylor expansion of x.re in x.re 1.949 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.im 1.949 * [taylor]: Taking taylor expansion of -1 in x.im 1.949 * [taylor]: Taking taylor expansion of x.im in x.im 1.950 * [taylor]: Taking taylor expansion of 0 in x.im 1.952 * [taylor]: Taking taylor expansion of 0 in x.im 1.953 * [taylor]: Taking taylor expansion of 0 in x.im 1.954 * * * [progress]: simplifying candidates 1.955 * [simplify]: Simplifying using # : (expm1 (* 3 (* (* x.re x.im) x.re))) (log1p (* 3 (* (* x.re x.im) x.re))) (* 3 (* (* x.re x.im) x.re)) (* 3 (* (* x.re x.im) x.re)) (* 3 (* (* x.re x.im) x.re)) (+ (log 3) (+ (+ (log x.re) (log x.im)) (log x.re))) (+ (log 3) (+ (log (* x.re x.im)) (log x.re))) (+ (log 3) (log (* (* x.re x.im) x.re))) (log (* 3 (* (* x.re x.im) x.re))) (exp (* 3 (* (* x.re x.im) x.re))) (* (* (* 3 3) 3) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re))) (* (* (* 3 3) 3) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* x.re x.re) x.re))) (* (* (* 3 3) 3) (* (* (* (* x.re x.im) x.re) (* (* x.re x.im) x.re)) (* (* x.re x.im) x.re))) (* (cbrt (* 3 (* (* x.re x.im) x.re))) (cbrt (* 3 (* (* x.re x.im) x.re)))) (cbrt (* 3 (* (* x.re x.im) x.re))) (* (* (* 3 (* (* x.re x.im) x.re)) (* 3 (* (* x.re x.im) x.re))) (* 3 (* (* x.re x.im) x.re))) (sqrt (* 3 (* (* x.re x.im) x.re))) (sqrt (* 3 (* (* x.re x.im) x.re))) (* 3 (* x.re x.im)) (* (cbrt 3) (* (* x.re x.im) x.re)) (* (sqrt 3) (* (* x.re x.im) x.re)) (* 3 (* (* x.re x.im) x.re)) (expm1 (* (* x.re x.im) x.re)) (log1p (* (* x.re x.im) x.re)) (* (* x.re x.im) x.re) (* (* x.re x.im) x.re) (+ (+ (log x.re) (log x.im)) (log x.re)) (+ (log (* x.re x.im)) (log x.re)) (log (* (* x.re x.im) x.re)) (exp (* (* x.re x.im) x.re)) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re)) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* x.re x.re) x.re)) (* (cbrt (* (* x.re x.im) x.re)) (cbrt (* (* x.re x.im) x.re))) (cbrt (* (* x.re x.im) x.re)) (* (* (* (* x.re x.im) x.re) (* (* x.re x.im) x.re)) (* (* x.re x.im) x.re)) (sqrt (* (* x.re x.im) x.re)) (sqrt (* (* x.re x.im) x.re)) (* (* x.re x.im) (* (cbrt x.re) (cbrt x.re))) (* (* x.re x.im) (sqrt x.re)) (* (* x.re x.im) 1) (* x.im x.re) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) 1.957 * * [simplify]: iteration 0 : 65 enodes (cost 434 ) 1.970 * * [simplify]: iteration 1 : 173 enodes (cost 409 ) 2.016 * * [simplify]: iteration 2 : 698 enodes (cost 337 )