12.507 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (+ (* x.re y.im) (* x.im y.re)) 0.021 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 10 enodes (cost 3 ) 0.022 * [simplify]: Simplified to: (+ (* x.re y.im) (* x.im y.re)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in (x.re y.im x.im y.re) around 0 0.034 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in y.re 0.034 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.034 * [taylor]: Taking taylor expansion of y.re in y.re 0.034 * [taylor]: Taking taylor expansion of x.im in y.re 0.034 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.034 * [taylor]: Taking taylor expansion of y.im in y.re 0.034 * [taylor]: Taking taylor expansion of x.re in y.re 0.034 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in x.im 0.034 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.034 * [taylor]: Taking taylor expansion of y.re in x.im 0.034 * [taylor]: Taking taylor expansion of x.im in x.im 0.034 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.034 * [taylor]: Taking taylor expansion of y.im in x.im 0.034 * [taylor]: Taking taylor expansion of x.re in x.im 0.034 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in y.im 0.034 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.034 * [taylor]: Taking taylor expansion of y.re in y.im 0.034 * [taylor]: Taking taylor expansion of x.im in y.im 0.034 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.034 * [taylor]: Taking taylor expansion of y.im in y.im 0.034 * [taylor]: Taking taylor expansion of x.re in y.im 0.034 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in x.re 0.034 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.034 * [taylor]: Taking taylor expansion of y.re in x.re 0.034 * [taylor]: Taking taylor expansion of x.im in x.re 0.034 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.034 * [taylor]: Taking taylor expansion of y.im in x.re 0.034 * [taylor]: Taking taylor expansion of x.re in x.re 0.034 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in x.re 0.034 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.034 * [taylor]: Taking taylor expansion of y.re in x.re 0.034 * [taylor]: Taking taylor expansion of x.im in x.re 0.034 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.034 * [taylor]: Taking taylor expansion of y.im in x.re 0.034 * [taylor]: Taking taylor expansion of x.re in x.re 0.034 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.035 * [taylor]: Taking taylor expansion of y.re in y.im 0.035 * [taylor]: Taking taylor expansion of x.im in y.im 0.035 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.035 * [taylor]: Taking taylor expansion of y.re in x.im 0.035 * [taylor]: Taking taylor expansion of x.im in x.im 0.035 * [taylor]: Taking taylor expansion of 0 in y.re 0.035 * [taylor]: Taking taylor expansion of y.im in y.im 0.035 * [taylor]: Taking taylor expansion of 0 in x.im 0.035 * [taylor]: Taking taylor expansion of 0 in y.re 0.035 * [taylor]: Taking taylor expansion of 0 in x.im 0.035 * [taylor]: Taking taylor expansion of 0 in y.re 0.036 * [taylor]: Taking taylor expansion of y.re in y.re 0.037 * [taylor]: Taking taylor expansion of 0 in y.im 0.037 * [taylor]: Taking taylor expansion of 0 in x.im 0.037 * [taylor]: Taking taylor expansion of 0 in y.re 0.037 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in (x.re y.im x.im y.re) around 0 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re 0.037 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re 0.037 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.037 * [taylor]: Taking taylor expansion of y.re in y.re 0.037 * [taylor]: Taking taylor expansion of x.im in y.re 0.037 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re 0.037 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.037 * [taylor]: Taking taylor expansion of y.im in y.re 0.037 * [taylor]: Taking taylor expansion of x.re in y.re 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im 0.037 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.037 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.037 * [taylor]: Taking taylor expansion of y.re in x.im 0.037 * [taylor]: Taking taylor expansion of x.im in x.im 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im 0.038 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.038 * [taylor]: Taking taylor expansion of y.im in x.im 0.038 * [taylor]: Taking taylor expansion of x.re in x.im 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.038 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.038 * [taylor]: Taking taylor expansion of y.re in y.im 0.038 * [taylor]: Taking taylor expansion of x.im in y.im 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im 0.038 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.038 * [taylor]: Taking taylor expansion of y.im in y.im 0.038 * [taylor]: Taking taylor expansion of x.re in y.im 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.038 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.038 * [taylor]: Taking taylor expansion of y.re in x.re 0.038 * [taylor]: Taking taylor expansion of x.im in x.re 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.038 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.038 * [taylor]: Taking taylor expansion of y.im in x.re 0.038 * [taylor]: Taking taylor expansion of x.re in x.re 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.039 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.039 * [taylor]: Taking taylor expansion of y.re in x.re 0.039 * [taylor]: Taking taylor expansion of x.im in x.re 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.039 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.039 * [taylor]: Taking taylor expansion of y.im in x.re 0.039 * [taylor]: Taking taylor expansion of x.re in x.re 0.039 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.039 * [taylor]: Taking taylor expansion of y.im in y.im 0.040 * [taylor]: Taking taylor expansion of 1 in x.im 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.040 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.040 * [taylor]: Taking taylor expansion of y.re in y.im 0.040 * [taylor]: Taking taylor expansion of x.im in y.im 0.041 * [taylor]: Taking taylor expansion of 0 in x.im 0.041 * [taylor]: Taking taylor expansion of 1 in y.re 0.042 * [taylor]: Taking taylor expansion of 0 in y.im 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.042 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.042 * [taylor]: Taking taylor expansion of y.re in x.im 0.042 * [taylor]: Taking taylor expansion of x.im in x.im 0.042 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.042 * [taylor]: Taking taylor expansion of y.re in y.re 0.043 * [taylor]: Taking taylor expansion of 0 in x.im 0.043 * [taylor]: Taking taylor expansion of 0 in y.re 0.043 * [taylor]: Taking taylor expansion of 0 in y.re 0.044 * [taylor]: Taking taylor expansion of 0 in y.im 0.044 * [taylor]: Taking taylor expansion of 0 in x.im 0.044 * [taylor]: Taking taylor expansion of 0 in x.im 0.045 * [taylor]: Taking taylor expansion of 0 in x.im 0.045 * [taylor]: Taking taylor expansion of 0 in y.re 0.045 * [taylor]: Taking taylor expansion of 0 in y.re 0.045 * [taylor]: Taking taylor expansion of 0 in y.re 0.045 * [taylor]: Taking taylor expansion of 0 in y.re 0.048 * [taylor]: Taking taylor expansion of 0 in y.im 0.048 * [taylor]: Taking taylor expansion of 0 in x.im 0.048 * [taylor]: Taking taylor expansion of 0 in x.im 0.048 * [taylor]: Taking taylor expansion of 0 in x.im 0.049 * [taylor]: Taking taylor expansion of 0 in x.im 0.049 * [taylor]: Taking taylor expansion of 0 in y.re 0.049 * [taylor]: Taking taylor expansion of 0 in y.re 0.049 * [taylor]: Taking taylor expansion of 0 in y.re 0.049 * [taylor]: Taking taylor expansion of 0 in y.re 0.049 * [taylor]: Taking taylor expansion of 0 in y.re 0.049 * [taylor]: Taking taylor expansion of 0 in y.re 0.049 * [taylor]: Taking taylor expansion of 0 in y.re 0.050 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in (x.re y.im x.im y.re) around 0 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re 0.050 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re 0.050 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.050 * [taylor]: Taking taylor expansion of y.re in y.re 0.050 * [taylor]: Taking taylor expansion of x.im in y.re 0.050 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re 0.051 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.051 * [taylor]: Taking taylor expansion of y.im in y.re 0.051 * [taylor]: Taking taylor expansion of x.re in y.re 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.051 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.051 * [taylor]: Taking taylor expansion of y.re in x.im 0.051 * [taylor]: Taking taylor expansion of x.im in x.im 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im 0.051 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.051 * [taylor]: Taking taylor expansion of y.im in x.im 0.051 * [taylor]: Taking taylor expansion of x.re in x.im 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.051 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.051 * [taylor]: Taking taylor expansion of y.re in y.im 0.051 * [taylor]: Taking taylor expansion of x.im in y.im 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im 0.051 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.051 * [taylor]: Taking taylor expansion of y.im in y.im 0.051 * [taylor]: Taking taylor expansion of x.re in y.im 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.052 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.052 * [taylor]: Taking taylor expansion of y.re in x.re 0.052 * [taylor]: Taking taylor expansion of x.im in x.re 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.052 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.052 * [taylor]: Taking taylor expansion of y.im in x.re 0.052 * [taylor]: Taking taylor expansion of x.re in x.re 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.052 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.052 * [taylor]: Taking taylor expansion of y.re in x.re 0.052 * [taylor]: Taking taylor expansion of x.im in x.re 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.052 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.052 * [taylor]: Taking taylor expansion of y.im in x.re 0.052 * [taylor]: Taking taylor expansion of x.re in x.re 0.053 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.053 * [taylor]: Taking taylor expansion of y.im in y.im 0.053 * [taylor]: Taking taylor expansion of 1 in x.im 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.054 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.054 * [taylor]: Taking taylor expansion of y.re in y.im 0.054 * [taylor]: Taking taylor expansion of x.im in y.im 0.054 * [taylor]: Taking taylor expansion of 0 in x.im 0.054 * [taylor]: Taking taylor expansion of 1 in y.re 0.055 * [taylor]: Taking taylor expansion of 0 in y.im 0.055 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.055 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.055 * [taylor]: Taking taylor expansion of y.re in x.im 0.055 * [taylor]: Taking taylor expansion of x.im in x.im 0.055 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.055 * [taylor]: Taking taylor expansion of y.re in y.re 0.056 * [taylor]: Taking taylor expansion of 0 in x.im 0.056 * [taylor]: Taking taylor expansion of 0 in y.re 0.056 * [taylor]: Taking taylor expansion of 0 in y.re 0.057 * [taylor]: Taking taylor expansion of 0 in y.im 0.058 * [taylor]: Taking taylor expansion of 0 in x.im 0.058 * [taylor]: Taking taylor expansion of 0 in x.im 0.058 * [taylor]: Taking taylor expansion of 0 in x.im 0.059 * [taylor]: Taking taylor expansion of 0 in y.re 0.059 * [taylor]: Taking taylor expansion of 0 in y.re 0.059 * [taylor]: Taking taylor expansion of 0 in y.re 0.059 * [taylor]: Taking taylor expansion of 0 in y.re 0.061 * [taylor]: Taking taylor expansion of 0 in y.im 0.061 * [taylor]: Taking taylor expansion of 0 in x.im 0.061 * [taylor]: Taking taylor expansion of 0 in x.im 0.061 * [taylor]: Taking taylor expansion of 0 in x.im 0.062 * [taylor]: Taking taylor expansion of 0 in x.im 0.062 * [taylor]: Taking taylor expansion of 0 in y.re 0.062 * [taylor]: Taking taylor expansion of 0 in y.re 0.062 * [taylor]: Taking taylor expansion of 0 in y.re 0.063 * [taylor]: Taking taylor expansion of 0 in y.re 0.063 * [taylor]: Taking taylor expansion of 0 in y.re 0.063 * [taylor]: Taking taylor expansion of 0 in y.re 0.063 * [taylor]: Taking taylor expansion of 0 in y.re 0.063 * * * [progress]: simplifying candidates 0.063 * [simplify]: Simplifying using # : (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.re y.im) (* x.re y.im)) (- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.im y.re)))) (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)) 0 (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)) 0.066 * * [simplify]: iteration 0 : 63 enodes (cost 30 ) 0.068 * * [simplify]: iteration 1 : 194 enodes (cost 30 ) 0.073 * * [simplify]: iteration 2 : 547 enodes (cost 30 ) 0.083 * * [simplify]: iteration 3 : 1031 enodes (cost 30 ) 0.105 * * [simplify]: iteration 4 : 1800 enodes (cost 30 ) 0.150 * * [simplify]: iteration 5 : 4029 enodes (cost 30 ) 0.260 * * [simplify]: iteration 6 : 5001 enodes (cost 30 ) 0.260 * [simplify]: Simplified to: (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))) (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)) 0 (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)) 0.260 * * * [progress]: adding candidates to table 0.275 * [progress]: [Phase 3 of 3] Extracting. 0.277 * [simplify]: Simplifying using # : (+ (* x.re y.im) (* x.im y.re)) 0.277 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.277 * * [simplify]: iteration 1 : 10 enodes (cost 3 ) 0.277 * [simplify]: Simplified to: (+ (* x.re y.im) (* x.im y.re)) 0.813 * [regime-testing]: End program error score: 0.011449551506528462