12.602 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) 0.027 * * [simplify]: iteration 0 : 11 enodes (cost 19 ) 0.029 * * [simplify]: iteration 1 : 23 enodes (cost 17 ) 0.032 * * [simplify]: iteration 2 : 54 enodes (cost 16 ) 0.042 * * [simplify]: iteration 3 : 118 enodes (cost 16 ) 0.062 * * [simplify]: iteration 4 : 282 enodes (cost 11 ) 0.116 * * [simplify]: iteration 5 : 648 enodes (cost 11 ) 0.260 * * [simplify]: iteration 6 : 1631 enodes (cost 11 ) 0.710 * * [simplify]: iteration 7 : 4560 enodes (cost 11 ) 1.901 * * [simplify]: iteration done : 5000 enodes (cost 11 ) 1.901 * [simplify]: Simplified to: (- (* 3 (* (* x.re x.im) x.re)) (pow x.im 3)) 1.904 * * [progress]: iteration 1 / 4 1.904 * * * [progress]: picking best candidate 1.907 * * * * [pick]: Picked # 1.907 * * * [progress]: localizing error 1.914 * * * [progress]: generating rewritten candidates 1.914 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 1.935 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 1.943 * * * [progress]: generating series expansions 1.943 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.943 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.re x.im) around 0 1.943 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 1.943 * [taylor]: Taking taylor expansion of 3 in x.im 1.943 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.943 * [taylor]: Taking taylor expansion of x.im in x.im 1.943 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.943 * [taylor]: Taking taylor expansion of x.re in x.im 1.943 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 1.943 * [taylor]: Taking taylor expansion of 3 in x.re 1.943 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.943 * [taylor]: Taking taylor expansion of x.im in x.re 1.943 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.943 * [taylor]: Taking taylor expansion of x.re in x.re 1.943 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 1.943 * [taylor]: Taking taylor expansion of 3 in x.re 1.943 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.943 * [taylor]: Taking taylor expansion of x.im in x.re 1.943 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.943 * [taylor]: Taking taylor expansion of x.re in x.re 1.944 * [taylor]: Taking taylor expansion of (* 3 x.im) in x.im 1.944 * [taylor]: Taking taylor expansion of 3 in x.im 1.944 * [taylor]: Taking taylor expansion of x.im 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 1.949 * [taylor]: Taking taylor expansion of 0 in x.im 1.950 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.re x.im) around 0 1.950 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 1.950 * [taylor]: Taking taylor expansion of 3 in x.im 1.950 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.950 * [taylor]: Taking taylor expansion of x.im in x.im 1.950 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.950 * [taylor]: Taking taylor expansion of x.re in x.im 1.950 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 1.950 * [taylor]: Taking taylor expansion of 3 in x.re 1.950 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.950 * [taylor]: Taking taylor expansion of x.im in x.re 1.950 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.950 * [taylor]: Taking taylor expansion of x.re in x.re 1.951 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 1.951 * [taylor]: Taking taylor expansion of 3 in x.re 1.951 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.951 * [taylor]: Taking taylor expansion of x.im in x.re 1.951 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.951 * [taylor]: Taking taylor expansion of x.re in x.re 1.951 * [taylor]: Taking taylor expansion of (/ 3 x.im) in x.im 1.951 * [taylor]: Taking taylor expansion of 3 in x.im 1.951 * [taylor]: Taking taylor expansion of x.im in x.im 1.952 * [taylor]: Taking taylor expansion of 0 in x.im 1.954 * [taylor]: Taking taylor expansion of 0 in x.im 1.955 * [taylor]: Taking taylor expansion of 0 in x.im 1.956 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.re x.im) around 0 1.956 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 1.956 * [taylor]: Taking taylor expansion of -3 in x.im 1.956 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.956 * [taylor]: Taking taylor expansion of x.im in x.im 1.956 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.956 * [taylor]: Taking taylor expansion of x.re in x.im 1.957 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 1.957 * [taylor]: Taking taylor expansion of -3 in x.re 1.957 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.957 * [taylor]: Taking taylor expansion of x.im in x.re 1.957 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.957 * [taylor]: Taking taylor expansion of x.re in x.re 1.957 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 1.957 * [taylor]: Taking taylor expansion of -3 in x.re 1.957 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.957 * [taylor]: Taking taylor expansion of x.im in x.re 1.957 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.957 * [taylor]: Taking taylor expansion of x.re in x.re 1.958 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 1.958 * [taylor]: Taking taylor expansion of -3 in x.im 1.958 * [taylor]: Taking taylor expansion of x.im in x.im 1.959 * [taylor]: Taking taylor expansion of 0 in x.im 1.960 * [taylor]: Taking taylor expansion of 0 in x.im 1.962 * [taylor]: Taking taylor expansion of 0 in x.im 1.963 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 1.963 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.re x.im) around 0 1.963 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.963 * [taylor]: Taking taylor expansion of x.im in x.im 1.963 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.963 * [taylor]: Taking taylor expansion of x.re in x.im 1.963 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.963 * [taylor]: Taking taylor expansion of x.im in x.re 1.963 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.963 * [taylor]: Taking taylor expansion of x.re in x.re 1.963 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.963 * [taylor]: Taking taylor expansion of x.im in x.re 1.963 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.963 * [taylor]: Taking taylor expansion of x.re in x.re 1.963 * [taylor]: Taking taylor expansion of x.im in x.im 1.964 * [taylor]: Taking taylor expansion of 0 in x.im 1.965 * [taylor]: Taking taylor expansion of 0 in x.im 1.966 * [taylor]: Taking taylor expansion of 0 in x.im 1.966 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.re x.im) around 0 1.966 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 1.966 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.966 * [taylor]: Taking taylor expansion of x.im in x.im 1.966 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.966 * [taylor]: Taking taylor expansion of x.re in x.im 1.967 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 1.967 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.967 * [taylor]: Taking taylor expansion of x.im in x.re 1.967 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.967 * [taylor]: Taking taylor expansion of x.re in x.re 1.967 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 1.967 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.967 * [taylor]: Taking taylor expansion of x.im in x.re 1.967 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.967 * [taylor]: Taking taylor expansion of x.re in x.re 1.968 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.968 * [taylor]: Taking taylor expansion of x.im in x.im 1.969 * [taylor]: Taking taylor expansion of 0 in x.im 1.970 * [taylor]: Taking taylor expansion of 0 in x.im 1.972 * [taylor]: Taking taylor expansion of 0 in x.im 1.973 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.re x.im) around 0 1.973 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 1.973 * [taylor]: Taking taylor expansion of -1 in x.im 1.973 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.973 * [taylor]: Taking taylor expansion of x.im in x.im 1.973 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.973 * [taylor]: Taking taylor expansion of x.re in x.im 1.973 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 1.973 * [taylor]: Taking taylor expansion of -1 in x.re 1.973 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.973 * [taylor]: Taking taylor expansion of x.im in x.re 1.973 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.973 * [taylor]: Taking taylor expansion of x.re in x.re 1.974 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 1.974 * [taylor]: Taking taylor expansion of -1 in x.re 1.974 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.974 * [taylor]: Taking taylor expansion of x.im in x.re 1.974 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.974 * [taylor]: Taking taylor expansion of x.re in x.re 1.974 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.im 1.974 * [taylor]: Taking taylor expansion of -1 in x.im 1.974 * [taylor]: Taking taylor expansion of x.im in x.im 1.975 * [taylor]: Taking taylor expansion of 0 in x.im 1.977 * [taylor]: Taking taylor expansion of 0 in x.im 1.978 * [taylor]: Taking taylor expansion of 0 in x.im 1.979 * * * [progress]: simplifying candidates 1.980 * [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)) 1.982 * * [simplify]: iteration 0 : 65 enodes (cost 434 ) 1.994 * * [simplify]: iteration 1 : 173 enodes (cost 409 ) 2.038 * * [simplify]: iteration 2 : 727 enodes (cost 337 ) 2.389 * * [simplify]: iteration 3 : 4116 enodes (cost 337 ) 6.087 * * [simplify]: iteration done : 5001 enodes (cost 337 ) 6.087 * [simplify]: Simplified to: (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 (* (* x.re x.im) x.re))) (log (* 3 (* (* x.re x.im) x.re))) (log (* 3 (* (* x.re x.im) x.re))) (log (* 3 (* (* x.re x.im) x.re))) (exp (* 3 (* (* x.re x.im) x.re))) (* (pow (* x.im (pow x.re 2)) 3) 27) (* (pow (* x.im (pow x.re 2)) 3) 27) (* (pow (* x.im (pow x.re 2)) 3) 27) (* (cbrt (* 3 (* (* x.re x.im) x.re))) (cbrt (* 3 (* (* x.re x.im) x.re)))) (cbrt (* 3 (* (* x.re x.im) x.re))) (* (pow (* x.im (pow x.re 2)) 3) 27) (sqrt (* 3 (* (* x.re x.im) x.re))) (sqrt (* 3 (* (* x.re x.im) x.re))) (* x.im (* 3 x.re)) (* (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.im x.re) x.re) (* (* x.im x.re) x.re) (log (* (* x.re x.im) x.re)) (log (* (* x.re x.im) x.re)) (log (* (* x.re x.im) x.re)) (exp (* (* x.re x.im) x.re)) (pow (* x.im (pow x.re 2)) 3) (pow (* x.im (pow x.re 2)) 3) (* (cbrt (* (* x.re x.im) x.re)) (cbrt (* (* x.re x.im) x.re))) (cbrt (* (* x.re x.im) x.re)) (pow (* x.im (pow x.re 2)) 3) (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.im 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)) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) 6.087 * * * [progress]: adding candidates to table 6.170 * * [progress]: iteration 2 / 4 6.170 * * * [progress]: picking best candidate 6.184 * * * * [pick]: Picked # 6.184 * * * [progress]: localizing error 6.191 * * * [progress]: generating rewritten candidates 6.191 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 6.197 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.216 * * * [progress]: generating series expansions 6.216 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 6.216 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 6.216 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 6.216 * [taylor]: Taking taylor expansion of 3 in x.re 6.216 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 6.216 * [taylor]: Taking taylor expansion of x.im in x.re 6.216 * [taylor]: Taking taylor expansion of x.re in x.re 6.216 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 6.216 * [taylor]: Taking taylor expansion of 3 in x.im 6.216 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 6.216 * [taylor]: Taking taylor expansion of x.im in x.im 6.216 * [taylor]: Taking taylor expansion of x.re in x.im 6.216 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 6.216 * [taylor]: Taking taylor expansion of 3 in x.im 6.216 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 6.216 * [taylor]: Taking taylor expansion of x.im in x.im 6.216 * [taylor]: Taking taylor expansion of x.re in x.im 6.217 * [taylor]: Taking taylor expansion of 0 in x.re 6.217 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 6.218 * [taylor]: Taking taylor expansion of 3 in x.re 6.218 * [taylor]: Taking taylor expansion of x.re in x.re 6.219 * [taylor]: Taking taylor expansion of 0 in x.re 6.221 * [taylor]: Taking taylor expansion of 0 in x.re 6.223 * [taylor]: Taking taylor expansion of 0 in x.re 6.224 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 6.224 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 6.224 * [taylor]: Taking taylor expansion of 3 in x.re 6.224 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 6.224 * [taylor]: Taking taylor expansion of x.im in x.re 6.224 * [taylor]: Taking taylor expansion of x.re in x.re 6.224 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 6.224 * [taylor]: Taking taylor expansion of 3 in x.im 6.224 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 6.224 * [taylor]: Taking taylor expansion of x.im in x.im 6.224 * [taylor]: Taking taylor expansion of x.re in x.im 6.224 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 6.224 * [taylor]: Taking taylor expansion of 3 in x.im 6.224 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 6.224 * [taylor]: Taking taylor expansion of x.im in x.im 6.224 * [taylor]: Taking taylor expansion of x.re in x.im 6.225 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 6.225 * [taylor]: Taking taylor expansion of 3 in x.re 6.225 * [taylor]: Taking taylor expansion of x.re in x.re 6.226 * [taylor]: Taking taylor expansion of 0 in x.re 6.227 * [taylor]: Taking taylor expansion of 0 in x.re 6.229 * [taylor]: Taking taylor expansion of 0 in x.re 6.230 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 6.230 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 6.230 * [taylor]: Taking taylor expansion of 3 in x.re 6.230 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 6.230 * [taylor]: Taking taylor expansion of x.im in x.re 6.230 * [taylor]: Taking taylor expansion of x.re in x.re 6.230 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 6.230 * [taylor]: Taking taylor expansion of 3 in x.im 6.230 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 6.230 * [taylor]: Taking taylor expansion of x.im in x.im 6.230 * [taylor]: Taking taylor expansion of x.re in x.im 6.230 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 6.230 * [taylor]: Taking taylor expansion of 3 in x.im 6.230 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 6.230 * [taylor]: Taking taylor expansion of x.im in x.im 6.230 * [taylor]: Taking taylor expansion of x.re in x.im 6.231 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 6.231 * [taylor]: Taking taylor expansion of 3 in x.re 6.231 * [taylor]: Taking taylor expansion of x.re in x.re 6.232 * [taylor]: Taking taylor expansion of 0 in x.re 6.233 * [taylor]: Taking taylor expansion of 0 in x.re 6.235 * [taylor]: Taking taylor expansion of 0 in x.re 6.236 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.236 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 6.236 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 6.236 * [taylor]: Taking taylor expansion of 3 in x.re 6.236 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 6.236 * [taylor]: Taking taylor expansion of x.im in x.re 6.236 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 6.236 * [taylor]: Taking taylor expansion of x.re in x.re 6.236 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 6.236 * [taylor]: Taking taylor expansion of 3 in x.im 6.236 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 6.236 * [taylor]: Taking taylor expansion of x.im in x.im 6.236 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 6.236 * [taylor]: Taking taylor expansion of x.re in x.im 6.236 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 6.236 * [taylor]: Taking taylor expansion of 3 in x.im 6.236 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 6.236 * [taylor]: Taking taylor expansion of x.im in x.im 6.236 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 6.236 * [taylor]: Taking taylor expansion of x.re in x.im 6.237 * [taylor]: Taking taylor expansion of 0 in x.re 6.237 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 6.237 * [taylor]: Taking taylor expansion of 3 in x.re 6.237 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 6.237 * [taylor]: Taking taylor expansion of x.re in x.re 6.239 * [taylor]: Taking taylor expansion of 0 in x.re 6.242 * [taylor]: Taking taylor expansion of 0 in x.re 6.243 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 6.243 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 6.243 * [taylor]: Taking taylor expansion of 3 in x.re 6.243 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 6.243 * [taylor]: Taking taylor expansion of x.im in x.re 6.243 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 6.243 * [taylor]: Taking taylor expansion of x.re in x.re 6.243 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 6.243 * [taylor]: Taking taylor expansion of 3 in x.im 6.243 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 6.243 * [taylor]: Taking taylor expansion of x.im in x.im 6.243 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 6.243 * [taylor]: Taking taylor expansion of x.re in x.im 6.244 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 6.244 * [taylor]: Taking taylor expansion of 3 in x.im 6.244 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 6.244 * [taylor]: Taking taylor expansion of x.im in x.im 6.244 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 6.244 * [taylor]: Taking taylor expansion of x.re in x.im 6.244 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 6.244 * [taylor]: Taking taylor expansion of 3 in x.re 6.244 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 6.244 * [taylor]: Taking taylor expansion of x.re in x.re 6.246 * [taylor]: Taking taylor expansion of 0 in x.re 6.248 * [taylor]: Taking taylor expansion of 0 in x.re 6.252 * [taylor]: Taking taylor expansion of 0 in x.re 6.255 * [taylor]: Taking taylor expansion of 0 in x.re 6.256 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 6.256 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 6.256 * [taylor]: Taking taylor expansion of -3 in x.re 6.256 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 6.256 * [taylor]: Taking taylor expansion of x.im in x.re 6.256 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 6.256 * [taylor]: Taking taylor expansion of x.re in x.re 6.256 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 6.256 * [taylor]: Taking taylor expansion of -3 in x.im 6.256 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 6.256 * [taylor]: Taking taylor expansion of x.im in x.im 6.256 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 6.256 * [taylor]: Taking taylor expansion of x.re in x.im 6.257 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 6.257 * [taylor]: Taking taylor expansion of -3 in x.im 6.257 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 6.257 * [taylor]: Taking taylor expansion of x.im in x.im 6.257 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 6.257 * [taylor]: Taking taylor expansion of x.re in x.im 6.258 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 6.258 * [taylor]: Taking taylor expansion of -3 in x.re 6.258 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 6.258 * [taylor]: Taking taylor expansion of x.re in x.re 6.259 * [taylor]: Taking taylor expansion of 0 in x.re 6.262 * [taylor]: Taking taylor expansion of 0 in x.re 6.265 * [taylor]: Taking taylor expansion of 0 in x.re 6.272 * [taylor]: Taking taylor expansion of 0 in x.re 6.272 * * * [progress]: simplifying candidates 6.273 * [simplify]: Simplifying using # : (expm1 (* x.im (* 3 x.re))) (log1p (* x.im (* 3 x.re))) (* x.im (* 3 x.re)) (* x.im (* 3 x.re)) (+ (log x.im) (+ (log 3) (log x.re))) (+ (log x.im) (log (* 3 x.re))) (log (* x.im (* 3 x.re))) (exp (* x.im (* 3 x.re))) (* (* (* x.im x.im) x.im) (* (* (* 3 3) 3) (* (* x.re x.re) x.re))) (* (* (* x.im x.im) x.im) (* (* (* 3 x.re) (* 3 x.re)) (* 3 x.re))) (* (cbrt (* x.im (* 3 x.re))) (cbrt (* x.im (* 3 x.re)))) (cbrt (* x.im (* 3 x.re))) (* (* (* x.im (* 3 x.re)) (* x.im (* 3 x.re))) (* x.im (* 3 x.re))) (sqrt (* x.im (* 3 x.re))) (sqrt (* x.im (* 3 x.re))) (* x.im 3) (* (cbrt x.im) (* 3 x.re)) (* (sqrt x.im) (* 3 x.re)) (* x.im (* 3 x.re)) (expm1 (* (* x.im (* 3 x.re)) x.re)) (log1p (* (* x.im (* 3 x.re)) x.re)) (* (* x.im (* 3 x.re)) x.re) (* (* x.im (* 3 x.re)) x.re) (* (* x.im (* 3 x.re)) x.re) (+ (+ (log x.im) (+ (log 3) (log x.re))) (log x.re)) (+ (+ (log x.im) (log (* 3 x.re))) (log x.re)) (+ (log (* x.im (* 3 x.re))) (log x.re)) (log (* (* x.im (* 3 x.re)) x.re)) (exp (* (* x.im (* 3 x.re)) x.re)) (* (* (* (* x.im x.im) x.im) (* (* (* 3 3) 3) (* (* x.re x.re) x.re))) (* (* x.re x.re) x.re)) (* (* (* (* x.im x.im) x.im) (* (* (* 3 x.re) (* 3 x.re)) (* 3 x.re))) (* (* x.re x.re) x.re)) (* (* (* (* x.im (* 3 x.re)) (* x.im (* 3 x.re))) (* x.im (* 3 x.re))) (* (* x.re x.re) x.re)) (* (cbrt (* (* x.im (* 3 x.re)) x.re)) (cbrt (* (* x.im (* 3 x.re)) x.re))) (cbrt (* (* x.im (* 3 x.re)) x.re)) (* (* (* (* x.im (* 3 x.re)) x.re) (* (* x.im (* 3 x.re)) x.re)) (* (* x.im (* 3 x.re)) x.re)) (sqrt (* (* x.im (* 3 x.re)) x.re)) (sqrt (* (* x.im (* 3 x.re)) x.re)) (* (* x.im (* 3 x.re)) (* (cbrt x.re) (cbrt x.re))) (* (* x.im (* 3 x.re)) (sqrt x.re)) (* (* x.im (* 3 x.re)) 1) (* (* 3 x.re) x.re) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* 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))) 6.275 * * [simplify]: iteration 0 : 67 enodes (cost 434 ) 6.286 * * [simplify]: iteration 1 : 174 enodes (cost 409 ) 6.334 * * [simplify]: iteration 2 : 808 enodes (cost 337 ) 6.690 * * [simplify]: iteration done : 5000 enodes (cost 337 ) 6.690 * [simplify]: Simplified to: (expm1 (* x.im (* 3 x.re))) (log1p (* x.im (* 3 x.re))) (* (* x.im x.re) 3) (* (* x.im x.re) 3) (log (* x.im (* 3 x.re))) (log (* x.im (* 3 x.re))) (log (* x.im (* 3 x.re))) (exp (* x.im (* 3 x.re))) (pow (* (* x.im x.re) 3) 3) (pow (* (* x.im x.re) 3) 3) (* (cbrt (* x.im (* 3 x.re))) (cbrt (* x.im (* 3 x.re)))) (cbrt (* x.im (* 3 x.re))) (pow (* (* x.im x.re) 3) 3) (sqrt (* x.im (* 3 x.re))) (sqrt (* x.im (* 3 x.re))) (* 3 x.im) (* (cbrt x.im) (* 3 x.re)) (* (sqrt x.im) (* 3 x.re)) (* (* x.im x.re) 3) (expm1 (* (* x.im (* 3 x.re)) x.re)) (log1p (* (* x.im (* 3 x.re)) x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (log (* (* x.im (* 3 x.re)) x.re)) (log (* (* x.im (* 3 x.re)) x.re)) (log (* (* x.im (* 3 x.re)) x.re)) (log (* (* x.im (* 3 x.re)) x.re)) (exp (* (* x.im (* 3 x.re)) x.re)) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (* (cbrt (* (* x.im (* 3 x.re)) x.re)) (cbrt (* (* x.im (* 3 x.re)) x.re))) (cbrt (* (* x.im (* 3 x.re)) x.re)) (pow (* 3 (* x.im (pow x.re 2))) 3) (sqrt (* (* x.im (* 3 x.re)) x.re)) (sqrt (* (* x.im (* 3 x.re)) x.re)) (* (* x.im (* 3 x.re)) (* (cbrt x.re) (cbrt x.re))) (* (* x.im (* 3 x.re)) (sqrt x.re)) (* (* x.im x.re) 3) (* (* 3 x.re) x.re) (* (* x.im x.re) 3) (* (* x.im x.re) 3) (* (* x.im x.re) 3) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 6.690 * * * [progress]: adding candidates to table 6.784 * * [progress]: iteration 3 / 4 6.784 * * * [progress]: picking best candidate 6.798 * * * * [pick]: Picked # 6.798 * * * [progress]: localizing error 6.805 * * * [progress]: generating rewritten candidates 6.806 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 6.812 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.835 * * * [progress]: generating series expansions 6.835 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 6.835 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 6.835 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 6.835 * [taylor]: Taking taylor expansion of 3 in x.re 6.835 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 6.835 * [taylor]: Taking taylor expansion of x.im in x.re 6.835 * [taylor]: Taking taylor expansion of x.re in x.re 6.835 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 6.835 * [taylor]: Taking taylor expansion of 3 in x.im 6.835 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 6.835 * [taylor]: Taking taylor expansion of x.im in x.im 6.835 * [taylor]: Taking taylor expansion of x.re in x.im 6.835 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 6.835 * [taylor]: Taking taylor expansion of 3 in x.im 6.835 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 6.835 * [taylor]: Taking taylor expansion of x.im in x.im 6.835 * [taylor]: Taking taylor expansion of x.re in x.im 6.836 * [taylor]: Taking taylor expansion of 0 in x.re 6.837 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 6.837 * [taylor]: Taking taylor expansion of 3 in x.re 6.837 * [taylor]: Taking taylor expansion of x.re in x.re 6.838 * [taylor]: Taking taylor expansion of 0 in x.re 6.840 * [taylor]: Taking taylor expansion of 0 in x.re 6.842 * [taylor]: Taking taylor expansion of 0 in x.re 6.843 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 6.843 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 6.843 * [taylor]: Taking taylor expansion of 3 in x.re 6.843 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 6.843 * [taylor]: Taking taylor expansion of x.im in x.re 6.843 * [taylor]: Taking taylor expansion of x.re in x.re 6.843 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 6.843 * [taylor]: Taking taylor expansion of 3 in x.im 6.843 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 6.843 * [taylor]: Taking taylor expansion of x.im in x.im 6.843 * [taylor]: Taking taylor expansion of x.re in x.im 6.843 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 6.843 * [taylor]: Taking taylor expansion of 3 in x.im 6.844 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 6.844 * [taylor]: Taking taylor expansion of x.im in x.im 6.844 * [taylor]: Taking taylor expansion of x.re in x.im 6.844 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 6.844 * [taylor]: Taking taylor expansion of 3 in x.re 6.844 * [taylor]: Taking taylor expansion of x.re in x.re 6.845 * [taylor]: Taking taylor expansion of 0 in x.re 6.846 * [taylor]: Taking taylor expansion of 0 in x.re 6.848 * [taylor]: Taking taylor expansion of 0 in x.re 6.849 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 6.849 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 6.849 * [taylor]: Taking taylor expansion of 3 in x.re 6.849 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 6.849 * [taylor]: Taking taylor expansion of x.im in x.re 6.849 * [taylor]: Taking taylor expansion of x.re in x.re 6.849 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 6.849 * [taylor]: Taking taylor expansion of 3 in x.im 6.849 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 6.849 * [taylor]: Taking taylor expansion of x.im in x.im 6.849 * [taylor]: Taking taylor expansion of x.re in x.im 6.849 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 6.849 * [taylor]: Taking taylor expansion of 3 in x.im 6.850 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 6.850 * [taylor]: Taking taylor expansion of x.im in x.im 6.850 * [taylor]: Taking taylor expansion of x.re in x.im 6.850 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 6.850 * [taylor]: Taking taylor expansion of 3 in x.re 6.850 * [taylor]: Taking taylor expansion of x.re in x.re 6.851 * [taylor]: Taking taylor expansion of 0 in x.re 6.852 * [taylor]: Taking taylor expansion of 0 in x.re 6.854 * [taylor]: Taking taylor expansion of 0 in x.re 6.855 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.855 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 6.855 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 6.855 * [taylor]: Taking taylor expansion of 3 in x.re 6.855 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 6.855 * [taylor]: Taking taylor expansion of x.im in x.re 6.855 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 6.855 * [taylor]: Taking taylor expansion of x.re in x.re 6.855 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 6.855 * [taylor]: Taking taylor expansion of 3 in x.im 6.855 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 6.855 * [taylor]: Taking taylor expansion of x.im in x.im 6.855 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 6.855 * [taylor]: Taking taylor expansion of x.re in x.im 6.855 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 6.855 * [taylor]: Taking taylor expansion of 3 in x.im 6.855 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 6.855 * [taylor]: Taking taylor expansion of x.im in x.im 6.855 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 6.855 * [taylor]: Taking taylor expansion of x.re in x.im 6.856 * [taylor]: Taking taylor expansion of 0 in x.re 6.856 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 6.856 * [taylor]: Taking taylor expansion of 3 in x.re 6.856 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 6.856 * [taylor]: Taking taylor expansion of x.re in x.re 6.861 * [taylor]: Taking taylor expansion of 0 in x.re 6.864 * [taylor]: Taking taylor expansion of 0 in x.re 6.864 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 6.864 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 6.864 * [taylor]: Taking taylor expansion of 3 in x.re 6.864 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 6.864 * [taylor]: Taking taylor expansion of x.im in x.re 6.864 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 6.864 * [taylor]: Taking taylor expansion of x.re in x.re 6.865 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 6.865 * [taylor]: Taking taylor expansion of 3 in x.im 6.865 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 6.865 * [taylor]: Taking taylor expansion of x.im in x.im 6.865 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 6.865 * [taylor]: Taking taylor expansion of x.re in x.im 6.865 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 6.865 * [taylor]: Taking taylor expansion of 3 in x.im 6.865 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 6.865 * [taylor]: Taking taylor expansion of x.im in x.im 6.865 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 6.865 * [taylor]: Taking taylor expansion of x.re in x.im 6.866 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 6.866 * [taylor]: Taking taylor expansion of 3 in x.re 6.866 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 6.866 * [taylor]: Taking taylor expansion of x.re in x.re 6.868 * [taylor]: Taking taylor expansion of 0 in x.re 6.870 * [taylor]: Taking taylor expansion of 0 in x.re 6.873 * [taylor]: Taking taylor expansion of 0 in x.re 6.877 * [taylor]: Taking taylor expansion of 0 in x.re 6.878 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 6.878 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 6.878 * [taylor]: Taking taylor expansion of -3 in x.re 6.878 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 6.878 * [taylor]: Taking taylor expansion of x.im in x.re 6.878 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 6.878 * [taylor]: Taking taylor expansion of x.re in x.re 6.878 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 6.878 * [taylor]: Taking taylor expansion of -3 in x.im 6.878 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 6.878 * [taylor]: Taking taylor expansion of x.im in x.im 6.878 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 6.878 * [taylor]: Taking taylor expansion of x.re in x.im 6.879 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 6.879 * [taylor]: Taking taylor expansion of -3 in x.im 6.879 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 6.879 * [taylor]: Taking taylor expansion of x.im in x.im 6.879 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 6.879 * [taylor]: Taking taylor expansion of x.re in x.im 6.879 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 6.879 * [taylor]: Taking taylor expansion of -3 in x.re 6.879 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 6.879 * [taylor]: Taking taylor expansion of x.re in x.re 6.881 * [taylor]: Taking taylor expansion of 0 in x.re 6.883 * [taylor]: Taking taylor expansion of 0 in x.re 6.887 * [taylor]: Taking taylor expansion of 0 in x.re 6.891 * [taylor]: Taking taylor expansion of 0 in x.re 6.891 * * * [progress]: simplifying candidates 6.891 * [simplify]: Simplifying using # : (expm1 (* (* 3 x.im) x.re)) (log1p (* (* 3 x.im) x.re)) (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (+ (+ (log 3) (log x.im)) (log x.re)) (+ (log (* 3 x.im)) (log x.re)) (log (* (* 3 x.im) x.re)) (exp (* (* 3 x.im) x.re)) (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re)) (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* x.re x.re) x.re)) (* (cbrt (* (* 3 x.im) x.re)) (cbrt (* (* 3 x.im) x.re))) (cbrt (* (* 3 x.im) x.re)) (* (* (* (* 3 x.im) x.re) (* (* 3 x.im) x.re)) (* (* 3 x.im) x.re)) (sqrt (* (* 3 x.im) x.re)) (sqrt (* (* 3 x.im) x.re)) (* (* 3 x.im) (* (cbrt x.re) (cbrt x.re))) (* (* 3 x.im) (sqrt x.re)) (* (* 3 x.im) 1) (* x.im x.re) (expm1 (* (* (* 3 x.im) x.re) x.re)) (log1p (* (* (* 3 x.im) x.re) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* (* 3 x.im) x.re) x.re) (* (* (* 3 x.im) x.re) x.re) (+ (+ (+ (log 3) (log x.im)) (log x.re)) (log x.re)) (+ (+ (log (* 3 x.im)) (log x.re)) (log x.re)) (+ (log (* (* 3 x.im) x.re)) (log x.re)) (log (* (* (* 3 x.im) x.re) x.re)) (exp (* (* (* 3 x.im) x.re) x.re)) (* (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re)) (* (* x.re x.re) x.re)) (* (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* x.re x.re) x.re)) (* (* x.re x.re) x.re)) (* (* (* (* (* 3 x.im) x.re) (* (* 3 x.im) x.re)) (* (* 3 x.im) x.re)) (* (* x.re x.re) x.re)) (* (cbrt (* (* (* 3 x.im) x.re) x.re)) (cbrt (* (* (* 3 x.im) x.re) x.re))) (cbrt (* (* (* 3 x.im) x.re) x.re)) (* (* (* (* (* 3 x.im) x.re) x.re) (* (* (* 3 x.im) x.re) x.re)) (* (* (* 3 x.im) x.re) x.re)) (sqrt (* (* (* 3 x.im) x.re) x.re)) (sqrt (* (* (* 3 x.im) x.re) x.re)) (* (* (* 3 x.im) x.re) (* (cbrt x.re) (cbrt x.re))) (* (* (* 3 x.im) x.re) (sqrt x.re)) (* (* (* 3 x.im) x.re) 1) (* x.re x.re) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* 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))) 6.894 * * [simplify]: iteration 0 : 64 enodes (cost 435 ) 6.905 * * [simplify]: iteration 1 : 172 enodes (cost 408 ) 6.952 * * [simplify]: iteration 2 : 893 enodes (cost 336 ) 7.422 * * [simplify]: iteration done : 5001 enodes (cost 336 ) 7.423 * [simplify]: Simplified to: (expm1 (* (* 3 x.im) x.re)) (log1p (* (* 3 x.im) x.re)) (* (* x.im 3) x.re) (* (* x.im 3) x.re) (log (* (* 3 x.im) x.re)) (log (* (* 3 x.im) x.re)) (log (* (* 3 x.im) x.re)) (exp (* (* 3 x.im) x.re)) (pow (* (* x.im 3) x.re) 3) (pow (* (* x.im 3) x.re) 3) (* (cbrt (* (* 3 x.im) x.re)) (cbrt (* (* 3 x.im) x.re))) (cbrt (* (* 3 x.im) x.re)) (pow (* (* x.im 3) x.re) 3) (sqrt (* (* 3 x.im) x.re)) (sqrt (* (* 3 x.im) x.re)) (* (* 3 x.im) (* (cbrt x.re) (cbrt x.re))) (* (* 3 x.im) (sqrt x.re)) (* 3 x.im) (* x.im x.re) (expm1 (* (* (* 3 x.im) x.re) x.re)) (log1p (* (* (* 3 x.im) x.re) x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (log (* 3 (* x.im (pow x.re 2)))) (log (* 3 (* x.im (pow x.re 2)))) (log (* 3 (* x.im (pow x.re 2)))) (log (* 3 (* x.im (pow x.re 2)))) (exp (* (* (* 3 x.im) x.re) x.re)) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (* (cbrt (* (* (* 3 x.im) x.re) x.re)) (cbrt (* (* (* 3 x.im) x.re) x.re))) (cbrt (* (* (* 3 x.im) x.re) x.re)) (pow (* 3 (* x.im (pow x.re 2))) 3) (sqrt (* (* (* 3 x.im) x.re) x.re)) (sqrt (* (* (* 3 x.im) x.re) x.re)) (* (* (* 3 x.im) x.re) (* (cbrt x.re) (cbrt x.re))) (* (* (* 3 x.im) x.re) (sqrt x.re)) (* (* x.im 3) x.re) (pow x.re 2) (* (* x.im 3) x.re) (* (* x.im 3) x.re) (* (* x.im 3) x.re) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 7.423 * * * [progress]: adding candidates to table 7.510 * * [progress]: iteration 4 / 4 7.510 * * * [progress]: picking best candidate 7.525 * * * * [pick]: Picked # 7.525 * * * [progress]: localizing error 7.534 * * * [progress]: generating rewritten candidates 7.534 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 7.553 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 7.607 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 2) 7.618 * * * [progress]: generating series expansions 7.618 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 7.619 * [approximate]: Taking taylor expansion of (* (sqrt 3) (* x.im (pow x.re 2))) in (x.re x.im) around 0 7.619 * [taylor]: Taking taylor expansion of (* (sqrt 3) (* x.im (pow x.re 2))) in x.im 7.619 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 7.619 * [taylor]: Taking taylor expansion of 3 in x.im 7.620 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 7.620 * [taylor]: Taking taylor expansion of x.im in x.im 7.620 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 7.620 * [taylor]: Taking taylor expansion of x.re in x.im 7.620 * [taylor]: Taking taylor expansion of (* (sqrt 3) (* x.im (pow x.re 2))) in x.re 7.620 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 7.620 * [taylor]: Taking taylor expansion of 3 in x.re 7.621 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.621 * [taylor]: Taking taylor expansion of x.im in x.re 7.621 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.621 * [taylor]: Taking taylor expansion of x.re in x.re 7.621 * [taylor]: Taking taylor expansion of (* (sqrt 3) (* x.im (pow x.re 2))) in x.re 7.621 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 7.621 * [taylor]: Taking taylor expansion of 3 in x.re 7.621 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.621 * [taylor]: Taking taylor expansion of x.im in x.re 7.622 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.622 * [taylor]: Taking taylor expansion of x.re in x.re 7.622 * [taylor]: Taking taylor expansion of (* (sqrt 3) x.im) in x.im 7.622 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 7.622 * [taylor]: Taking taylor expansion of 3 in x.im 7.623 * [taylor]: Taking taylor expansion of x.im in x.im 7.624 * [taylor]: Taking taylor expansion of 0 in x.im 7.628 * [taylor]: Taking taylor expansion of 0 in x.im 7.632 * [taylor]: Taking taylor expansion of 0 in x.im 7.633 * [approximate]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in (x.re x.im) around 0 7.633 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.im 7.633 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 7.633 * [taylor]: Taking taylor expansion of 3 in x.im 7.633 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 7.633 * [taylor]: Taking taylor expansion of x.im in x.im 7.633 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 7.633 * [taylor]: Taking taylor expansion of x.re in x.im 7.634 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.re 7.634 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 7.634 * [taylor]: Taking taylor expansion of 3 in x.re 7.635 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.635 * [taylor]: Taking taylor expansion of x.im in x.re 7.635 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.635 * [taylor]: Taking taylor expansion of x.re in x.re 7.636 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.re 7.636 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 7.636 * [taylor]: Taking taylor expansion of 3 in x.re 7.636 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.636 * [taylor]: Taking taylor expansion of x.im in x.re 7.636 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.636 * [taylor]: Taking taylor expansion of x.re in x.re 7.637 * [taylor]: Taking taylor expansion of (/ (sqrt 3) x.im) in x.im 7.637 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 7.637 * [taylor]: Taking taylor expansion of 3 in x.im 7.638 * [taylor]: Taking taylor expansion of x.im in x.im 7.640 * [taylor]: Taking taylor expansion of 0 in x.im 7.642 * [taylor]: Taking taylor expansion of 0 in x.im 7.645 * [taylor]: Taking taylor expansion of 0 in x.im 7.648 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 3) (* x.im (pow x.re 2)))) in (x.re x.im) around 0 7.648 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) (* x.im (pow x.re 2)))) in x.im 7.648 * [taylor]: Taking taylor expansion of -1 in x.im 7.648 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.im 7.648 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 7.648 * [taylor]: Taking taylor expansion of 3 in x.im 7.649 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 7.649 * [taylor]: Taking taylor expansion of x.im in x.im 7.649 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 7.649 * [taylor]: Taking taylor expansion of x.re in x.im 7.650 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) (* x.im (pow x.re 2)))) in x.re 7.650 * [taylor]: Taking taylor expansion of -1 in x.re 7.650 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.re 7.650 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 7.650 * [taylor]: Taking taylor expansion of 3 in x.re 7.650 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.650 * [taylor]: Taking taylor expansion of x.im in x.re 7.650 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.651 * [taylor]: Taking taylor expansion of x.re in x.re 7.651 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) (* x.im (pow x.re 2)))) in x.re 7.651 * [taylor]: Taking taylor expansion of -1 in x.re 7.651 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.re 7.651 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 7.651 * [taylor]: Taking taylor expansion of 3 in x.re 7.652 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.652 * [taylor]: Taking taylor expansion of x.im in x.re 7.652 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.652 * [taylor]: Taking taylor expansion of x.re in x.re 7.653 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) x.im)) in x.im 7.653 * [taylor]: Taking taylor expansion of -1 in x.im 7.653 * [taylor]: Taking taylor expansion of (/ (sqrt 3) x.im) in x.im 7.653 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 7.653 * [taylor]: Taking taylor expansion of 3 in x.im 7.654 * [taylor]: Taking taylor expansion of x.im in x.im 7.657 * [taylor]: Taking taylor expansion of 0 in x.im 7.661 * [taylor]: Taking taylor expansion of 0 in x.im 7.666 * [taylor]: Taking taylor expansion of 0 in x.im 7.669 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 7.669 * [approximate]: Taking taylor expansion of (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in (x.re x.im) around 0 7.669 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.im 7.669 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 7.669 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 7.669 * [taylor]: Taking taylor expansion of 3 in x.im 7.670 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 7.670 * [taylor]: Taking taylor expansion of x.im in x.im 7.670 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 7.670 * [taylor]: Taking taylor expansion of x.re in x.im 7.670 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.re 7.670 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 7.670 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 7.670 * [taylor]: Taking taylor expansion of 3 in x.re 7.671 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.671 * [taylor]: Taking taylor expansion of x.im in x.re 7.671 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.671 * [taylor]: Taking taylor expansion of x.re in x.re 7.671 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.re 7.671 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 7.671 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 7.671 * [taylor]: Taking taylor expansion of 3 in x.re 7.672 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.672 * [taylor]: Taking taylor expansion of x.im in x.re 7.672 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.672 * [taylor]: Taking taylor expansion of x.re in x.re 7.674 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) x.im) in x.im 7.674 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 7.674 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 7.674 * [taylor]: Taking taylor expansion of 3 in x.im 7.674 * [taylor]: Taking taylor expansion of x.im in x.im 7.677 * [taylor]: Taking taylor expansion of 0 in x.im 7.683 * [taylor]: Taking taylor expansion of 0 in x.im 7.688 * [taylor]: Taking taylor expansion of 0 in x.im 7.690 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in (x.re x.im) around 0 7.690 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.im 7.690 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 7.690 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 7.690 * [taylor]: Taking taylor expansion of 3 in x.im 7.690 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 7.690 * [taylor]: Taking taylor expansion of x.im in x.im 7.690 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 7.690 * [taylor]: Taking taylor expansion of x.re in x.im 7.692 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.re 7.692 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 7.692 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 7.692 * [taylor]: Taking taylor expansion of 3 in x.re 7.693 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.693 * [taylor]: Taking taylor expansion of x.im in x.re 7.693 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.693 * [taylor]: Taking taylor expansion of x.re in x.re 7.695 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.re 7.695 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 7.695 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 7.695 * [taylor]: Taking taylor expansion of 3 in x.re 7.696 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.696 * [taylor]: Taking taylor expansion of x.im in x.re 7.696 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.696 * [taylor]: Taking taylor expansion of x.re in x.re 7.697 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) x.im) in x.im 7.697 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 7.697 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 7.697 * [taylor]: Taking taylor expansion of 3 in x.im 7.698 * [taylor]: Taking taylor expansion of x.im in x.im 7.705 * [taylor]: Taking taylor expansion of 0 in x.im 7.709 * [taylor]: Taking taylor expansion of 0 in x.im 7.714 * [taylor]: Taking taylor expansion of 0 in x.im 7.718 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2)))) in (x.re x.im) around 0 7.718 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2)))) in x.im 7.718 * [taylor]: Taking taylor expansion of -1 in x.im 7.718 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.im 7.718 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 7.718 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 7.718 * [taylor]: Taking taylor expansion of 3 in x.im 7.719 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 7.719 * [taylor]: Taking taylor expansion of x.im in x.im 7.719 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 7.719 * [taylor]: Taking taylor expansion of x.re in x.im 7.721 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2)))) in x.re 7.721 * [taylor]: Taking taylor expansion of -1 in x.re 7.721 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.re 7.721 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 7.721 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 7.721 * [taylor]: Taking taylor expansion of 3 in x.re 7.722 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.722 * [taylor]: Taking taylor expansion of x.im in x.re 7.722 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.722 * [taylor]: Taking taylor expansion of x.re in x.re 7.723 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2)))) in x.re 7.723 * [taylor]: Taking taylor expansion of -1 in x.re 7.723 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.re 7.723 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 7.723 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 7.723 * [taylor]: Taking taylor expansion of 3 in x.re 7.724 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.724 * [taylor]: Taking taylor expansion of x.im in x.re 7.724 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.724 * [taylor]: Taking taylor expansion of x.re in x.re 7.726 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) x.im)) in x.im 7.727 * [taylor]: Taking taylor expansion of -1 in x.im 7.727 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) x.im) in x.im 7.727 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 7.727 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 7.727 * [taylor]: Taking taylor expansion of 3 in x.im 7.727 * [taylor]: Taking taylor expansion of x.im in x.im 7.734 * [taylor]: Taking taylor expansion of 0 in x.im 7.739 * [taylor]: Taking taylor expansion of 0 in x.im 7.746 * [taylor]: Taking taylor expansion of 0 in x.im 7.750 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 2) 7.751 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.re x.im) around 0 7.751 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 7.751 * [taylor]: Taking taylor expansion of x.im in x.im 7.751 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 7.751 * [taylor]: Taking taylor expansion of x.re in x.im 7.751 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.751 * [taylor]: Taking taylor expansion of x.im in x.re 7.751 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.751 * [taylor]: Taking taylor expansion of x.re in x.re 7.751 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.751 * [taylor]: Taking taylor expansion of x.im in x.re 7.751 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.751 * [taylor]: Taking taylor expansion of x.re in x.re 7.751 * [taylor]: Taking taylor expansion of x.im in x.im 7.752 * [taylor]: Taking taylor expansion of 0 in x.im 7.753 * [taylor]: Taking taylor expansion of 0 in x.im 7.754 * [taylor]: Taking taylor expansion of 0 in x.im 7.754 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.re x.im) around 0 7.754 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 7.754 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 7.754 * [taylor]: Taking taylor expansion of x.im in x.im 7.754 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 7.754 * [taylor]: Taking taylor expansion of x.re in x.im 7.755 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 7.755 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.755 * [taylor]: Taking taylor expansion of x.im in x.re 7.755 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.755 * [taylor]: Taking taylor expansion of x.re in x.re 7.755 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 7.755 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.755 * [taylor]: Taking taylor expansion of x.im in x.re 7.755 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.755 * [taylor]: Taking taylor expansion of x.re in x.re 7.756 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 7.756 * [taylor]: Taking taylor expansion of x.im in x.im 7.757 * [taylor]: Taking taylor expansion of 0 in x.im 7.758 * [taylor]: Taking taylor expansion of 0 in x.im 7.760 * [taylor]: Taking taylor expansion of 0 in x.im 7.761 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.re x.im) around 0 7.761 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 7.761 * [taylor]: Taking taylor expansion of -1 in x.im 7.761 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 7.761 * [taylor]: Taking taylor expansion of x.im in x.im 7.761 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 7.761 * [taylor]: Taking taylor expansion of x.re in x.im 7.761 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 7.761 * [taylor]: Taking taylor expansion of -1 in x.re 7.761 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.761 * [taylor]: Taking taylor expansion of x.im in x.re 7.761 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.761 * [taylor]: Taking taylor expansion of x.re in x.re 7.762 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 7.762 * [taylor]: Taking taylor expansion of -1 in x.re 7.762 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 7.762 * [taylor]: Taking taylor expansion of x.im in x.re 7.762 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 7.762 * [taylor]: Taking taylor expansion of x.re in x.re 7.762 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.im 7.762 * [taylor]: Taking taylor expansion of -1 in x.im 7.762 * [taylor]: Taking taylor expansion of x.im in x.im 7.763 * [taylor]: Taking taylor expansion of 0 in x.im 7.765 * [taylor]: Taking taylor expansion of 0 in x.im 7.766 * [taylor]: Taking taylor expansion of 0 in x.im 7.767 * * * [progress]: simplifying candidates 7.768 * [simplify]: Simplifying using # : (expm1 (* (sqrt 3) (* (* x.re x.im) x.re))) (log1p (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt 3) (* (* x.re x.im) x.re)) (* (sqrt 3) (* (* x.re x.im) x.re)) (* (sqrt 3) (* (* x.re x.im) x.re)) (+ (log (sqrt 3)) (+ (+ (log x.re) (log x.im)) (log x.re))) (+ (log (sqrt 3)) (+ (log (* x.re x.im)) (log x.re))) (+ (log (sqrt 3)) (log (* (* x.re x.im) x.re))) (log (* (sqrt 3) (* (* x.re x.im) x.re))) (exp (* (sqrt 3) (* (* x.re x.im) x.re))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* x.re x.re) x.re))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.re x.im) x.re) (* (* x.re x.im) x.re)) (* (* x.re x.im) x.re))) (* (cbrt (* (sqrt 3) (* (* x.re x.im) x.re))) (cbrt (* (sqrt 3) (* (* x.re x.im) x.re)))) (cbrt (* (sqrt 3) (* (* x.re x.im) x.re))) (* (* (* (sqrt 3) (* (* x.re x.im) x.re)) (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt 3) (* (* x.re x.im) x.re))) (sqrt (* (sqrt 3) (* (* x.re x.im) x.re))) (sqrt (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt 3) (* x.re x.im)) (* (cbrt (sqrt 3)) (* (* x.re x.im) x.re)) (* (sqrt (cbrt 3)) (* (* x.re x.im) x.re)) (* (sqrt (sqrt 3)) (* (* x.re x.im) x.re)) (* (sqrt 3) (* (* x.re x.im) x.re)) (* (sqrt (sqrt 3)) (* (* x.re x.im) x.re)) (* (sqrt 3) (* (* x.re x.im) x.re)) (expm1 (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re)))) (log1p (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re)))) (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (+ (+ (log x.re) (log x.im)) (log x.re)))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (+ (log (* x.re x.im)) (log x.re)))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (log (* (* x.re x.im) x.re)))) (+ (log (sqrt 3)) (log (* (sqrt 3) (* (* x.re x.im) x.re)))) (log (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re)))) (exp (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* x.re x.re) x.re)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.re x.im) x.re) (* (* x.re x.im) x.re)) (* (* x.re x.im) x.re)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (* (* x.re x.im) x.re)) (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt 3) (* (* x.re x.im) x.re)))) (* (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re)))) (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re))))) (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re)))) (* (* (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re)))) (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re)))) (* (sqrt 3) (sqrt 3)) (* (cbrt (sqrt 3)) (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt (cbrt 3)) (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt 3) (* (sqrt 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) (* (sqrt 3) (* x.im (pow x.re 2))) (* (sqrt 3) (* x.im (pow x.re 2))) (* (sqrt 3) (* x.im (pow x.re 2))) (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) 7.771 * * [simplify]: iteration 0 : 92 enodes (cost 985 ) 7.790 * * [simplify]: iteration 1 : 251 enodes (cost 815 ) 7.855 * * [simplify]: iteration 2 : 1130 enodes (cost 651 ) 8.355 * * [simplify]: iteration done : 5001 enodes (cost 651 ) 8.356 * [simplify]: Simplified to: (expm1 (* (sqrt 3) (* (* x.re x.im) x.re))) (log1p (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt 3) (* (* x.re x.im) x.re)) (* (sqrt 3) (* (* x.re x.im) x.re)) (* (sqrt 3) (* (* x.re x.im) x.re)) (log (* (sqrt 3) (* (* x.re x.im) x.re))) (log (* (sqrt 3) (* (* x.re x.im) x.re))) (log (* (sqrt 3) (* (* x.re x.im) x.re))) (log (* (sqrt 3) (* (* x.re x.im) x.re))) (exp (* (sqrt 3) (* (* x.re x.im) x.re))) (pow (* (sqrt 3) (* x.im (pow x.re 2))) 3) (pow (* (sqrt 3) (* x.im (pow x.re 2))) 3) (pow (* (sqrt 3) (* x.im (pow x.re 2))) 3) (* (cbrt (* (sqrt 3) (* (* x.re x.im) x.re))) (cbrt (* (sqrt 3) (* (* x.re x.im) x.re)))) (cbrt (* (sqrt 3) (* (* x.re x.im) x.re))) (pow (* (sqrt 3) (* x.im (pow x.re 2))) 3) (sqrt (* (sqrt 3) (* (* x.re x.im) x.re))) (sqrt (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt 3) (* x.re x.im)) (* (cbrt (sqrt 3)) (* (* x.re x.im) x.re)) (* (sqrt (cbrt 3)) (* (* x.re x.im) x.re)) (* (sqrt (sqrt 3)) (* (* x.re x.im) x.re)) (* (sqrt 3) (* (* x.re x.im) x.re)) (* (sqrt (sqrt 3)) (* (* x.re x.im) x.re)) (* (sqrt 3) (* (* x.re x.im) x.re)) (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)) (* 3 (* (* x.re x.im) x.re)) (log (* 3 (* (* x.re x.im) x.re))) (log (* 3 (* (* x.re x.im) x.re))) (log (* 3 (* (* x.re x.im) x.re))) (log (* 3 (* (* x.re x.im) x.re))) (log (* 3 (* (* x.re x.im) x.re))) (exp (* 3 (* (* x.re x.im) x.re))) (pow (* 3 (* (* x.re x.im) x.re)) 3) (pow (* 3 (* (* x.re x.im) x.re)) 3) (pow (* 3 (* (* x.re x.im) x.re)) 3) (pow (* 3 (* (* x.re x.im) x.re)) 3) (* (cbrt (* 3 (* (* x.re x.im) x.re))) (cbrt (* 3 (* (* x.re x.im) x.re)))) (cbrt (* 3 (* (* x.re x.im) x.re))) (pow (* 3 (* (* x.re x.im) x.re)) 3) (sqrt (* 3 (* (* x.re x.im) x.re))) (sqrt (* 3 (* (* x.re x.im) x.re))) 3 (* (cbrt (sqrt 3)) (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt (cbrt 3)) (* (sqrt 3) (* (* x.re x.im) x.re))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* (* x.re x.im) x.re))) (* 3 (* (* x.re x.im) x.re)) (* (sqrt (sqrt 3)) (* (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.im (pow x.re 2)) (* x.im (pow x.re 2)) (log (* (* x.re x.im) x.re)) (log (* (* x.re x.im) x.re)) (log (* (* x.re x.im) x.re)) (exp (* (* x.re x.im) x.re)) (pow (* x.im (pow x.re 2)) 3) (pow (* x.im (pow x.re 2)) 3) (* (cbrt (* (* x.re x.im) x.re)) (cbrt (* (* x.re x.im) x.re))) (cbrt (* (* x.re x.im) x.re)) (pow (* x.im (pow x.re 2)) 3) (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.im x.re) (* x.im x.re) (* (sqrt 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) x.re)) (* 3 (* (* x.re x.im) x.re)) (* 3 (* (* x.re x.im) x.re)) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) 8.356 * * * [progress]: adding candidates to table 8.512 * [progress]: [Phase 3 of 3] Extracting. 8.512 * * [regime]: Finding splitpoints for: (# # # # # #) 8.514 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 8.514 * * * * [regimes]: Trying to branch on x.im from (# # # # # #) 8.536 * * * * [regimes]: Trying to branch on x.re from (# # # # # #) 8.560 * * * [regime]: Found split indices: #