16.225 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (- (* x.re y.re) (* x.im y.im)) 0.021 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 18 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 18 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (- (* x.re y.re) (* x.im y.im)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [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.re) (* y.im x.im)) in (x.re y.re x.im y.im) around 0 0.034 * [taylor]: Taking taylor expansion of (- (* y.re x.re) (* y.im x.im)) in y.im 0.034 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.034 * [taylor]: Taking taylor expansion of y.re in y.im 0.034 * [taylor]: Taking taylor expansion of x.re in y.im 0.034 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.034 * [taylor]: Taking taylor expansion of y.im in y.im 0.034 * [taylor]: Taking taylor expansion of x.im in y.im 0.034 * [taylor]: Taking taylor expansion of (- (* y.re x.re) (* y.im x.im)) in x.im 0.034 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.034 * [taylor]: Taking taylor expansion of y.re in x.im 0.034 * [taylor]: Taking taylor expansion of x.re in x.im 0.034 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.034 * [taylor]: Taking taylor expansion of y.im in x.im 0.034 * [taylor]: Taking taylor expansion of x.im in x.im 0.034 * [taylor]: Taking taylor expansion of (- (* y.re x.re) (* y.im x.im)) in y.re 0.034 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.034 * [taylor]: Taking taylor expansion of y.re in y.re 0.034 * [taylor]: Taking taylor expansion of x.re in y.re 0.034 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.034 * [taylor]: Taking taylor expansion of y.im in y.re 0.034 * [taylor]: Taking taylor expansion of x.im in y.re 0.034 * [taylor]: Taking taylor expansion of (- (* y.re x.re) (* y.im x.im)) in x.re 0.034 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.034 * [taylor]: Taking taylor expansion of y.re in x.re 0.034 * [taylor]: Taking taylor expansion of x.re in x.re 0.034 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.034 * [taylor]: Taking taylor expansion of y.im in x.re 0.034 * [taylor]: Taking taylor expansion of x.im in x.re 0.034 * [taylor]: Taking taylor expansion of (- (* y.re x.re) (* y.im x.im)) in x.re 0.034 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.034 * [taylor]: Taking taylor expansion of y.re in x.re 0.034 * [taylor]: Taking taylor expansion of x.re in x.re 0.035 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.035 * [taylor]: Taking taylor expansion of y.im in x.re 0.035 * [taylor]: Taking taylor expansion of x.im in x.re 0.035 * [taylor]: Taking taylor expansion of (- (* y.im x.im)) in y.re 0.035 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.035 * [taylor]: Taking taylor expansion of y.im in y.re 0.035 * [taylor]: Taking taylor expansion of x.im in y.re 0.035 * [taylor]: Taking taylor expansion of (- (* y.im x.im)) in x.im 0.035 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.035 * [taylor]: Taking taylor expansion of y.im 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.im 0.036 * [taylor]: Taking taylor expansion of y.re in y.re 0.036 * [taylor]: Taking taylor expansion of 0 in x.im 0.036 * [taylor]: Taking taylor expansion of 0 in y.im 0.036 * [taylor]: Taking taylor expansion of 0 in x.im 0.036 * [taylor]: Taking taylor expansion of 0 in y.im 0.037 * [taylor]: Taking taylor expansion of (- y.im) in y.im 0.037 * [taylor]: Taking taylor expansion of y.im in y.im 0.038 * [taylor]: Taking taylor expansion of 0 in y.re 0.038 * [taylor]: Taking taylor expansion of 0 in x.im 0.038 * [taylor]: Taking taylor expansion of 0 in y.im 0.038 * [approximate]: Taking taylor expansion of (- (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in (x.re y.re x.im y.im) around 0 0.038 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in y.im 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.038 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.038 * [taylor]: Taking taylor expansion of y.re in y.im 0.038 * [taylor]: Taking taylor expansion of x.re in y.im 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.038 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.039 * [taylor]: Taking taylor expansion of y.im in y.im 0.039 * [taylor]: Taking taylor expansion of x.im in y.im 0.039 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.im 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.039 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.039 * [taylor]: Taking taylor expansion of y.re in x.im 0.039 * [taylor]: Taking taylor expansion of x.re in x.im 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.039 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.039 * [taylor]: Taking taylor expansion of y.im in x.im 0.039 * [taylor]: Taking taylor expansion of x.im in x.im 0.039 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in y.re 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.039 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.039 * [taylor]: Taking taylor expansion of y.re in y.re 0.039 * [taylor]: Taking taylor expansion of x.re in y.re 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.040 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.040 * [taylor]: Taking taylor expansion of y.im in y.re 0.040 * [taylor]: Taking taylor expansion of x.im in y.re 0.040 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.re 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.040 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.040 * [taylor]: Taking taylor expansion of y.re in x.re 0.040 * [taylor]: Taking taylor expansion of x.re in x.re 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.040 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.040 * [taylor]: Taking taylor expansion of y.im in x.re 0.040 * [taylor]: Taking taylor expansion of x.im in x.re 0.040 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.re 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.040 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.040 * [taylor]: Taking taylor expansion of y.re in x.re 0.040 * [taylor]: Taking taylor expansion of x.re in x.re 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.041 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.041 * [taylor]: Taking taylor expansion of y.im in x.re 0.041 * [taylor]: Taking taylor expansion of x.im in x.re 0.041 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.041 * [taylor]: Taking taylor expansion of y.re in y.re 0.041 * [taylor]: Taking taylor expansion of 1 in x.im 0.042 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.im))) in y.re 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.042 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.042 * [taylor]: Taking taylor expansion of y.im in y.re 0.042 * [taylor]: Taking taylor expansion of x.im in y.re 0.042 * [taylor]: Taking taylor expansion of 0 in x.im 0.042 * [taylor]: Taking taylor expansion of 1 in y.im 0.043 * [taylor]: Taking taylor expansion of 0 in y.re 0.044 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.im))) in x.im 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.044 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.044 * [taylor]: Taking taylor expansion of y.im in x.im 0.044 * [taylor]: Taking taylor expansion of x.im in x.im 0.044 * [taylor]: Taking taylor expansion of (- (/ 1 y.im)) in y.im 0.044 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.044 * [taylor]: Taking taylor expansion of y.im in y.im 0.045 * [taylor]: Taking taylor expansion of 0 in x.im 0.045 * [taylor]: Taking taylor expansion of 0 in y.im 0.045 * [taylor]: Taking taylor expansion of 0 in y.im 0.047 * [taylor]: Taking taylor expansion of 0 in y.re 0.047 * [taylor]: Taking taylor expansion of 0 in x.im 0.047 * [taylor]: Taking taylor expansion of 0 in x.im 0.047 * [taylor]: Taking taylor expansion of 0 in x.im 0.048 * [taylor]: Taking taylor expansion of 0 in y.im 0.048 * [taylor]: Taking taylor expansion of 0 in y.im 0.048 * [taylor]: Taking taylor expansion of 0 in y.im 0.048 * [taylor]: Taking taylor expansion of 0 in y.im 0.054 * [taylor]: Taking taylor expansion of 0 in y.re 0.054 * [taylor]: Taking taylor expansion of 0 in x.im 0.054 * [taylor]: Taking taylor expansion of 0 in x.im 0.055 * [taylor]: Taking taylor expansion of 0 in x.im 0.055 * [taylor]: Taking taylor expansion of 0 in x.im 0.055 * [taylor]: Taking taylor expansion of 0 in y.im 0.055 * [taylor]: Taking taylor expansion of 0 in y.im 0.055 * [taylor]: Taking taylor expansion of 0 in y.im 0.056 * [taylor]: Taking taylor expansion of 0 in y.im 0.056 * [taylor]: Taking taylor expansion of 0 in y.im 0.056 * [taylor]: Taking taylor expansion of 0 in y.im 0.056 * [taylor]: Taking taylor expansion of 0 in y.im 0.057 * [approximate]: Taking taylor expansion of (- (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in (x.re y.re x.im y.im) around 0 0.057 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in y.im 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.057 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.057 * [taylor]: Taking taylor expansion of y.re in y.im 0.057 * [taylor]: Taking taylor expansion of x.re in y.im 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.057 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.057 * [taylor]: Taking taylor expansion of y.im in y.im 0.057 * [taylor]: Taking taylor expansion of x.im in y.im 0.057 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.im 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.057 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.057 * [taylor]: Taking taylor expansion of y.re in x.im 0.057 * [taylor]: Taking taylor expansion of x.re in x.im 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.057 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.057 * [taylor]: Taking taylor expansion of y.im in x.im 0.057 * [taylor]: Taking taylor expansion of x.im in x.im 0.058 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in y.re 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.058 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.058 * [taylor]: Taking taylor expansion of y.re in y.re 0.058 * [taylor]: Taking taylor expansion of x.re in y.re 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.058 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.058 * [taylor]: Taking taylor expansion of y.im in y.re 0.058 * [taylor]: Taking taylor expansion of x.im in y.re 0.058 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.re 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.058 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.058 * [taylor]: Taking taylor expansion of y.re in x.re 0.058 * [taylor]: Taking taylor expansion of x.re in x.re 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.059 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.059 * [taylor]: Taking taylor expansion of y.im in x.re 0.059 * [taylor]: Taking taylor expansion of x.im in x.re 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.re 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.059 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.059 * [taylor]: Taking taylor expansion of y.re in x.re 0.059 * [taylor]: Taking taylor expansion of x.re in x.re 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.059 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.059 * [taylor]: Taking taylor expansion of y.im in x.re 0.059 * [taylor]: Taking taylor expansion of x.im in x.re 0.059 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.059 * [taylor]: Taking taylor expansion of y.re in y.re 0.060 * [taylor]: Taking taylor expansion of 1 in x.im 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.im))) in y.re 0.060 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.060 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.060 * [taylor]: Taking taylor expansion of y.im in y.re 0.060 * [taylor]: Taking taylor expansion of x.im in y.re 0.061 * [taylor]: Taking taylor expansion of 0 in x.im 0.061 * [taylor]: Taking taylor expansion of 1 in y.im 0.062 * [taylor]: Taking taylor expansion of 0 in y.re 0.062 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.im))) in x.im 0.062 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.062 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.062 * [taylor]: Taking taylor expansion of y.im in x.im 0.062 * [taylor]: Taking taylor expansion of x.im in x.im 0.062 * [taylor]: Taking taylor expansion of (- (/ 1 y.im)) in y.im 0.062 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.062 * [taylor]: Taking taylor expansion of y.im in y.im 0.063 * [taylor]: Taking taylor expansion of 0 in x.im 0.063 * [taylor]: Taking taylor expansion of 0 in y.im 0.064 * [taylor]: Taking taylor expansion of 0 in y.im 0.065 * [taylor]: Taking taylor expansion of 0 in y.re 0.065 * [taylor]: Taking taylor expansion of 0 in x.im 0.065 * [taylor]: Taking taylor expansion of 0 in x.im 0.066 * [taylor]: Taking taylor expansion of 0 in x.im 0.067 * [taylor]: Taking taylor expansion of 0 in y.im 0.067 * [taylor]: Taking taylor expansion of 0 in y.im 0.067 * [taylor]: Taking taylor expansion of 0 in y.im 0.067 * [taylor]: Taking taylor expansion of 0 in y.im 0.069 * [taylor]: Taking taylor expansion of 0 in y.re 0.069 * [taylor]: Taking taylor expansion of 0 in x.im 0.070 * [taylor]: Taking taylor expansion of 0 in x.im 0.070 * [taylor]: Taking taylor expansion of 0 in x.im 0.071 * [taylor]: Taking taylor expansion of 0 in x.im 0.071 * [taylor]: Taking taylor expansion of 0 in y.im 0.071 * [taylor]: Taking taylor expansion of 0 in y.im 0.071 * [taylor]: Taking taylor expansion of 0 in y.im 0.072 * [taylor]: Taking taylor expansion of 0 in y.im 0.072 * [taylor]: Taking taylor expansion of 0 in y.im 0.072 * [taylor]: Taking taylor expansion of 0 in y.im 0.072 * [taylor]: Taking taylor expansion of 0 in y.im 0.072 * * * [progress]: simplifying candidates 0.073 * [simplify]: Simplifying using # : (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.re y.re) (* x.re y.re)) (+ (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))) (- (* x.im y.im)) (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)) (- (* x.im y.im)) 0 (- (* y.re x.re) (* y.im x.im)) (- (* y.re x.re) (* y.im x.im)) 0.075 * * [simplify]: iteration 0 : 67 enodes (cost 34 ) 0.077 * * [simplify]: iteration 1 : 193 enodes (cost 34 ) 0.081 * * [simplify]: iteration 2 : 529 enodes (cost 34 ) 0.091 * * [simplify]: iteration 3 : 972 enodes (cost 34 ) 0.110 * * [simplify]: iteration 4 : 2014 enodes (cost 34 ) 0.164 * * [simplify]: iteration 5 : 5001 enodes (cost 34 ) 0.165 * [simplify]: Simplified to: (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))) (- (* x.im y.im)) (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)) (- (* x.im y.im)) 0 (- (* y.re x.re) (* y.im x.im)) (- (* y.re x.re) (* y.im x.im)) 0.165 * * * [progress]: adding candidates to table 0.188 * [progress]: [Phase 3 of 3] Extracting. 0.190 * [simplify]: Simplifying using # : (- (* x.re y.re) (* x.im y.im)) 0.191 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.192 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.192 * [simplify]: Simplified to: (- (* x.re y.re) (* x.im y.im)) 0.742 * [regime-testing]: End program error score: 0.01381017696588111