3.078 * [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)) 0.020 * * [simplify]: iteration 0 : 7 enodes (cost 7 ) 0.021 * * [simplify]: iteration 1 : 11 enodes (cost 6 ) 0.022 * * [simplify]: iteration 2 : 14 enodes (cost 6 ) 0.023 * * [simplify]: iteration done : 14 enodes (cost 6 ) 0.023 * [simplify]: Simplified to: (fma x.re y.im (* x.im y.re)) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.039 * * * [progress]: generating series expansions 0.039 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.039 * [approximate]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in (x.re y.im x.im y.re) around 0 0.039 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in y.re 0.039 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.039 * [taylor]: Taking taylor expansion of y.re in y.re 0.039 * [taylor]: Taking taylor expansion of x.im in y.re 0.039 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.039 * [taylor]: Taking taylor expansion of y.im in y.re 0.039 * [taylor]: Taking taylor expansion of x.re in y.re 0.039 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in x.im 0.039 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.039 * [taylor]: Taking taylor expansion of y.re in x.im 0.039 * [taylor]: Taking taylor expansion of x.im in x.im 0.039 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.039 * [taylor]: Taking taylor expansion of y.im in x.im 0.039 * [taylor]: Taking taylor expansion of x.re in x.im 0.039 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in y.im 0.039 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.039 * [taylor]: Taking taylor expansion of y.re in y.im 0.039 * [taylor]: Taking taylor expansion of x.im in y.im 0.039 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.039 * [taylor]: Taking taylor expansion of y.im in y.im 0.039 * [taylor]: Taking taylor expansion of x.re in y.im 0.039 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) 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 (* 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 0.040 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in x.re 0.040 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.040 * [taylor]: Taking taylor expansion of y.re in x.re 0.040 * [taylor]: Taking taylor expansion of x.im in x.re 0.040 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.040 * [taylor]: Taking taylor expansion of y.im in x.re 0.040 * [taylor]: Taking taylor expansion of x.re in x.re 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 0.040 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.040 * [taylor]: Taking taylor expansion of y.re in x.im 0.040 * [taylor]: Taking taylor expansion of x.im in x.im 0.040 * [taylor]: Taking taylor expansion of 0 in y.re 0.041 * [taylor]: Taking taylor expansion of y.im in y.im 0.041 * [taylor]: Taking taylor expansion of 0 in x.im 0.041 * [taylor]: Taking taylor expansion of 0 in y.re 0.041 * [taylor]: Taking taylor expansion of 0 in x.im 0.041 * [taylor]: Taking taylor expansion of 0 in y.re 0.041 * [taylor]: Taking taylor expansion of y.re in y.re 0.042 * [taylor]: Taking taylor expansion of 0 in y.im 0.042 * [taylor]: Taking taylor expansion of 0 in x.im 0.042 * [taylor]: Taking taylor expansion of 0 in y.re 0.042 * [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 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re 0.042 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.042 * [taylor]: Taking taylor expansion of y.re in y.re 0.042 * [taylor]: Taking taylor expansion of x.im in y.re 0.043 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re 0.043 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.043 * [taylor]: Taking taylor expansion of y.im in y.re 0.043 * [taylor]: Taking taylor expansion of x.re in y.re 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im 0.043 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.043 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.043 * [taylor]: Taking taylor expansion of y.re in x.im 0.043 * [taylor]: Taking taylor expansion of x.im in x.im 0.043 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im 0.043 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.043 * [taylor]: Taking taylor expansion of y.im in x.im 0.043 * [taylor]: Taking taylor expansion of x.re in x.im 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im 0.043 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.043 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.043 * [taylor]: Taking taylor expansion of y.re in y.im 0.043 * [taylor]: Taking taylor expansion of x.im in y.im 0.043 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im 0.043 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.043 * [taylor]: Taking taylor expansion of y.im in y.im 0.043 * [taylor]: Taking taylor expansion of x.re in y.im 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.044 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.044 * [taylor]: Taking taylor expansion of y.re in x.re 0.044 * [taylor]: Taking taylor expansion of x.im in x.re 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.044 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.044 * [taylor]: Taking taylor expansion of y.im in x.re 0.044 * [taylor]: Taking taylor expansion of x.re in x.re 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.044 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.044 * [taylor]: Taking taylor expansion of y.re in x.re 0.044 * [taylor]: Taking taylor expansion of x.im in x.re 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.044 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.044 * [taylor]: Taking taylor expansion of y.im in x.re 0.044 * [taylor]: Taking taylor expansion of x.re in x.re 0.045 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.045 * [taylor]: Taking taylor expansion of y.im in y.im 0.045 * [taylor]: Taking taylor expansion of 1 in x.im 0.046 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.046 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.046 * [taylor]: Taking taylor expansion of y.re in y.im 0.046 * [taylor]: Taking taylor expansion of x.im in y.im 0.046 * [taylor]: Taking taylor expansion of 0 in x.im 0.046 * [taylor]: Taking taylor expansion of 1 in y.re 0.047 * [taylor]: Taking taylor expansion of 0 in y.im 0.047 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.047 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.047 * [taylor]: Taking taylor expansion of y.re in x.im 0.047 * [taylor]: Taking taylor expansion of x.im in x.im 0.048 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.048 * [taylor]: Taking taylor expansion of y.re in y.re 0.048 * [taylor]: Taking taylor expansion of 0 in x.im 0.048 * [taylor]: Taking taylor expansion of 0 in y.re 0.049 * [taylor]: Taking taylor expansion of 0 in y.re 0.050 * [taylor]: Taking taylor expansion of 0 in y.im 0.050 * [taylor]: Taking taylor expansion of 0 in x.im 0.050 * [taylor]: Taking taylor expansion of 0 in x.im 0.051 * [taylor]: Taking taylor expansion of 0 in x.im 0.051 * [taylor]: Taking taylor expansion of 0 in y.re 0.051 * [taylor]: Taking taylor expansion of 0 in y.re 0.051 * [taylor]: Taking taylor expansion of 0 in y.re 0.051 * [taylor]: Taking taylor expansion of 0 in y.re 0.054 * [taylor]: Taking taylor expansion of 0 in y.im 0.054 * [taylor]: Taking taylor expansion of 0 in x.im 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 y.re 0.055 * [taylor]: Taking taylor expansion of 0 in y.re 0.055 * [taylor]: Taking taylor expansion of 0 in y.re 0.055 * [taylor]: Taking taylor expansion of 0 in y.re 0.055 * [taylor]: Taking taylor expansion of 0 in y.re 0.056 * [taylor]: Taking taylor expansion of 0 in y.re 0.056 * [taylor]: Taking taylor expansion of 0 in y.re 0.056 * [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 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re 0.056 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re 0.056 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.056 * [taylor]: Taking taylor expansion of y.re in y.re 0.056 * [taylor]: Taking taylor expansion of x.im in y.re 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re 0.057 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.057 * [taylor]: Taking taylor expansion of y.im in y.re 0.057 * [taylor]: Taking taylor expansion of x.re in y.re 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.057 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.057 * [taylor]: Taking taylor expansion of y.re in x.im 0.057 * [taylor]: Taking taylor expansion of x.im in x.im 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im 0.057 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.057 * [taylor]: Taking taylor expansion of y.im in x.im 0.057 * [taylor]: Taking taylor expansion of x.re in x.im 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.057 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.057 * [taylor]: Taking taylor expansion of y.re in y.im 0.057 * [taylor]: Taking taylor expansion of x.im in y.im 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im 0.057 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.057 * [taylor]: Taking taylor expansion of y.im in y.im 0.057 * [taylor]: Taking taylor expansion of x.re in y.im 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.058 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.058 * [taylor]: Taking taylor expansion of y.re in x.re 0.058 * [taylor]: Taking taylor expansion of x.im in x.re 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.058 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.058 * [taylor]: Taking taylor expansion of y.im in x.re 0.058 * [taylor]: Taking taylor expansion of x.re in x.re 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.058 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.058 * [taylor]: Taking taylor expansion of y.re in x.re 0.058 * [taylor]: Taking taylor expansion of x.im in x.re 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.058 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.058 * [taylor]: Taking taylor expansion of y.im 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) in y.im 0.059 * [taylor]: Taking taylor expansion of y.im in y.im 0.059 * [taylor]: Taking taylor expansion of 1 in x.im 0.060 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.060 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.060 * [taylor]: Taking taylor expansion of y.re in y.im 0.060 * [taylor]: Taking taylor expansion of x.im in y.im 0.060 * [taylor]: Taking taylor expansion of 0 in x.im 0.060 * [taylor]: Taking taylor expansion of 1 in y.re 0.061 * [taylor]: Taking taylor expansion of 0 in y.im 0.061 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.061 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.061 * [taylor]: Taking taylor expansion of y.re in x.im 0.061 * [taylor]: Taking taylor expansion of x.im in x.im 0.062 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.062 * [taylor]: Taking taylor expansion of y.re in y.re 0.062 * [taylor]: Taking taylor expansion of 0 in x.im 0.063 * [taylor]: Taking taylor expansion of 0 in y.re 0.063 * [taylor]: Taking taylor expansion of 0 in y.re 0.064 * [taylor]: Taking taylor expansion of 0 in y.im 0.064 * [taylor]: Taking taylor expansion of 0 in x.im 0.064 * [taylor]: Taking taylor expansion of 0 in x.im 0.065 * [taylor]: Taking taylor expansion of 0 in x.im 0.065 * [taylor]: Taking taylor expansion of 0 in y.re 0.065 * [taylor]: Taking taylor expansion of 0 in y.re 0.065 * [taylor]: Taking taylor expansion of 0 in y.re 0.065 * [taylor]: Taking taylor expansion of 0 in y.re 0.067 * [taylor]: Taking taylor expansion of 0 in y.im 0.067 * [taylor]: Taking taylor expansion of 0 in x.im 0.067 * [taylor]: Taking taylor expansion of 0 in x.im 0.068 * [taylor]: Taking taylor expansion of 0 in x.im 0.068 * [taylor]: Taking taylor expansion of 0 in x.im 0.068 * [taylor]: Taking taylor expansion of 0 in y.re 0.068 * [taylor]: Taking taylor expansion of 0 in y.re 0.068 * [taylor]: Taking taylor expansion of 0 in y.re 0.069 * [taylor]: Taking taylor expansion of 0 in y.re 0.069 * [taylor]: Taking taylor expansion of 0 in y.re 0.069 * [taylor]: Taking taylor expansion of 0 in y.re 0.069 * [taylor]: Taking taylor expansion of 0 in y.re 0.070 * * * [progress]: simplifying candidates 0.070 * [simplify]: Simplifying using # : (expm1 (+ (* x.re y.im) (* x.im y.re))) (log1p (+ (* x.re y.im) (* x.im y.re))) (* (exp (* x.re y.im)) (exp (* x.im y.re))) (log (+ (* x.re y.im) (* x.im y.re))) (exp (+ (* x.re y.im) (* x.im y.re))) (* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re)))) (cbrt (+ (* x.re y.im) (* x.im y.re))) (* (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))) (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))) (+ (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)) 0.071 * * [simplify]: iteration 0 : 34 enodes (cost 176 ) 0.077 * * [simplify]: iteration 1 : 107 enodes (cost 154 ) 0.103 * * [simplify]: iteration 2 : 356 enodes (cost 154 ) 0.213 * * [simplify]: iteration 3 : 1062 enodes (cost 142 ) 0.698 * * [simplify]: iteration 4 : 2879 enodes (cost 142 ) 1.842 * * [simplify]: iteration done : 5001 enodes (cost 142 ) 1.843 * [simplify]: Simplified to: (expm1 (fma y.re x.im (* x.re y.im))) (log1p (fma y.re x.im (* x.re y.im))) (exp (fma y.re x.im (* x.re y.im))) (log (fma y.re x.im (* x.re y.im))) (exp (fma y.re x.im (* x.re y.im))) (* (cbrt (fma y.re x.im (* x.re y.im))) (cbrt (fma y.re x.im (* x.re y.im)))) (cbrt (fma y.re x.im (* x.re y.im))) (pow (fma y.re x.im (* x.re y.im)) 3) (sqrt (fma y.re x.im (* x.re y.im))) (sqrt (fma y.re x.im (* x.re y.im))) (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (fma (* y.im x.re) (* y.im x.re) (* (* y.re x.im) (- (* y.re x.im) (* y.im x.re)))) (* (fma y.re x.im (* x.re y.im)) (- (* x.re y.im) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)) 0 (fma y.re x.im (* x.re y.im)) (fma y.re x.im (* x.re y.im)) 1.843 * * * [progress]: adding candidates to table 1.882 * * [progress]: iteration 2 / 4 1.882 * * * [progress]: picking best candidate 1.884 * * * * [pick]: Picked # 1.884 * * * [progress]: localizing error 1.889 * * * [progress]: generating rewritten candidates 1.889 * * * [progress]: generating series expansions 1.889 * * * [progress]: simplifying candidates 1.889 * [simplify]: Simplifying using # : 1.890 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.890 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.890 * [simplify]: Simplified to: 1.890 * * * [progress]: adding candidates to table 1.890 * [progress]: [Phase 3 of 3] Extracting. 1.892 * [simplify]: Simplifying using # : (fma y.re x.im (* x.re y.im)) 1.892 * * [simplify]: iteration 0 : 6 enodes (cost 6 ) 1.892 * * [simplify]: iteration 1 : 7 enodes (cost 6 ) 1.893 * * [simplify]: iteration done : 7 enodes (cost 6 ) 1.893 * [simplify]: Simplified to: (fma y.re x.im (* x.re y.im)) 2.449 * [regime-testing]: End program error score: 0.006420496562647592