3.945 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.040 * [progress]: [Phase 2 of 3] Improving. 0.041 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.042 * * [simplify]: iteration 0 : 11 enodes (cost 19 ) 0.043 * * [simplify]: iteration 1 : 21 enodes (cost 19 ) 0.046 * * [simplify]: iteration 2 : 54 enodes (cost 17 ) 0.061 * * [simplify]: iteration 3 : 136 enodes (cost 17 ) 0.087 * * [simplify]: iteration 4 : 327 enodes (cost 12 ) 0.161 * * [simplify]: iteration 5 : 691 enodes (cost 11 ) 0.348 * * [simplify]: iteration 6 : 1706 enodes (cost 11 ) 1.060 * * [simplify]: iteration done : 5000 enodes (cost 11 ) 1.060 * [simplify]: Simplified to: (- (pow x.re 3) (* 3 (* (* x.re x.im) x.im))) 1.065 * * [progress]: iteration 1 / 4 1.065 * * * [progress]: picking best candidate 1.070 * * * * [pick]: Picked # 1.070 * * * [progress]: localizing error 1.078 * * * [progress]: generating rewritten candidates 1.078 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.086 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 1.093 * * * [progress]: generating series expansions 1.093 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.093 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 1.093 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 1.093 * [taylor]: Taking taylor expansion of 3 in x.im 1.093 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.093 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.093 * [taylor]: Taking taylor expansion of x.im in x.im 1.093 * [taylor]: Taking taylor expansion of x.re in x.im 1.093 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 1.093 * [taylor]: Taking taylor expansion of 3 in x.re 1.093 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.093 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.093 * [taylor]: Taking taylor expansion of x.im in x.re 1.093 * [taylor]: Taking taylor expansion of x.re in x.re 1.093 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 1.093 * [taylor]: Taking taylor expansion of 3 in x.re 1.093 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.093 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.093 * [taylor]: Taking taylor expansion of x.im in x.re 1.093 * [taylor]: Taking taylor expansion of x.re in x.re 1.094 * [taylor]: Taking taylor expansion of 0 in x.im 1.094 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 1.094 * [taylor]: Taking taylor expansion of 3 in x.im 1.094 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.094 * [taylor]: Taking taylor expansion of x.im in x.im 1.094 * [taylor]: Taking taylor expansion of 0 in x.im 1.094 * [taylor]: Taking taylor expansion of 0 in x.im 1.095 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 1.095 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 1.095 * [taylor]: Taking taylor expansion of 3 in x.im 1.095 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.095 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.095 * [taylor]: Taking taylor expansion of x.im in x.im 1.095 * [taylor]: Taking taylor expansion of x.re in x.im 1.095 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 1.095 * [taylor]: Taking taylor expansion of 3 in x.re 1.095 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.095 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.095 * [taylor]: Taking taylor expansion of x.im in x.re 1.095 * [taylor]: Taking taylor expansion of x.re in x.re 1.095 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 1.095 * [taylor]: Taking taylor expansion of 3 in x.re 1.095 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.095 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.095 * [taylor]: Taking taylor expansion of x.im in x.re 1.095 * [taylor]: Taking taylor expansion of x.re in x.re 1.096 * [taylor]: Taking taylor expansion of (/ 3 (pow x.im 2)) in x.im 1.096 * [taylor]: Taking taylor expansion of 3 in x.im 1.096 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.096 * [taylor]: Taking taylor expansion of x.im in x.im 1.096 * [taylor]: Taking taylor expansion of 0 in x.im 1.096 * [taylor]: Taking taylor expansion of 0 in x.im 1.097 * [taylor]: Taking taylor expansion of 0 in x.im 1.098 * [taylor]: Taking taylor expansion of 0 in x.im 1.098 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 1.098 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 1.098 * [taylor]: Taking taylor expansion of -3 in x.im 1.098 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.098 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.098 * [taylor]: Taking taylor expansion of x.im in x.im 1.098 * [taylor]: Taking taylor expansion of x.re in x.im 1.098 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 1.098 * [taylor]: Taking taylor expansion of -3 in x.re 1.098 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.098 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.098 * [taylor]: Taking taylor expansion of x.im in x.re 1.098 * [taylor]: Taking taylor expansion of x.re in x.re 1.098 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 1.098 * [taylor]: Taking taylor expansion of -3 in x.re 1.098 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.098 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.099 * [taylor]: Taking taylor expansion of x.im in x.re 1.099 * [taylor]: Taking taylor expansion of x.re in x.re 1.099 * [taylor]: Taking taylor expansion of (/ -3 (pow x.im 2)) in x.im 1.099 * [taylor]: Taking taylor expansion of -3 in x.im 1.099 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.099 * [taylor]: Taking taylor expansion of x.im in x.im 1.099 * [taylor]: Taking taylor expansion of 0 in x.im 1.100 * [taylor]: Taking taylor expansion of 0 in x.im 1.100 * [taylor]: Taking taylor expansion of 0 in x.im 1.101 * [taylor]: Taking taylor expansion of 0 in x.im 1.101 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 1.101 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.re x.im) around 0 1.101 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.101 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.101 * [taylor]: Taking taylor expansion of x.im in x.im 1.101 * [taylor]: Taking taylor expansion of x.re in x.im 1.101 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.101 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.101 * [taylor]: Taking taylor expansion of x.im in x.re 1.101 * [taylor]: Taking taylor expansion of x.re in x.re 1.101 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.101 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.101 * [taylor]: Taking taylor expansion of x.im in x.re 1.101 * [taylor]: Taking taylor expansion of x.re in x.re 1.101 * [taylor]: Taking taylor expansion of 0 in x.im 1.102 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.102 * [taylor]: Taking taylor expansion of x.im in x.im 1.102 * [taylor]: Taking taylor expansion of 0 in x.im 1.102 * [taylor]: Taking taylor expansion of 0 in x.im 1.102 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 1.102 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 1.102 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.102 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.102 * [taylor]: Taking taylor expansion of x.im in x.im 1.102 * [taylor]: Taking taylor expansion of x.re in x.im 1.102 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 1.102 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.102 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.102 * [taylor]: Taking taylor expansion of x.im in x.re 1.102 * [taylor]: Taking taylor expansion of x.re in x.re 1.103 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 1.103 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.103 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.103 * [taylor]: Taking taylor expansion of x.im in x.re 1.103 * [taylor]: Taking taylor expansion of x.re in x.re 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.103 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.103 * [taylor]: Taking taylor expansion of x.im in x.im 1.103 * [taylor]: Taking taylor expansion of 0 in x.im 1.104 * [taylor]: Taking taylor expansion of 0 in x.im 1.104 * [taylor]: Taking taylor expansion of 0 in x.im 1.105 * [taylor]: Taking taylor expansion of 0 in x.im 1.105 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 1.105 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 1.105 * [taylor]: Taking taylor expansion of -1 in x.im 1.105 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.105 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.105 * [taylor]: Taking taylor expansion of x.im in x.im 1.105 * [taylor]: Taking taylor expansion of x.re in x.im 1.105 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 1.105 * [taylor]: Taking taylor expansion of -1 in x.re 1.105 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.105 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.105 * [taylor]: Taking taylor expansion of x.im in x.re 1.105 * [taylor]: Taking taylor expansion of x.re in x.re 1.106 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 1.106 * [taylor]: Taking taylor expansion of -1 in x.re 1.106 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.106 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.106 * [taylor]: Taking taylor expansion of x.im in x.re 1.106 * [taylor]: Taking taylor expansion of x.re in x.re 1.106 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 1.106 * [taylor]: Taking taylor expansion of -1 in x.im 1.106 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.106 * [taylor]: Taking taylor expansion of x.im in x.im 1.106 * [taylor]: Taking taylor expansion of 0 in x.im 1.107 * [taylor]: Taking taylor expansion of 0 in x.im 1.107 * [taylor]: Taking taylor expansion of 0 in x.im 1.108 * [taylor]: Taking taylor expansion of 0 in x.im 1.108 * * * [progress]: simplifying candidates 1.109 * [simplify]: Simplifying using # : (* 3 (* (* x.re x.im) x.im)) (* 3 (* (* x.re x.im) x.im)) (* 3 (* (* x.re x.im) x.im)) (+ (log 3) (+ (+ (log x.re) (log x.im)) (log x.im))) (+ (log 3) (+ (log (* x.re x.im)) (log x.im))) (+ (log 3) (log (* (* x.re x.im) x.im))) (log (* 3 (* (* x.re x.im) x.im))) (exp (* 3 (* (* x.re x.im) x.im))) (* (* (* 3 3) 3) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* x.im x.im) x.im))) (* (* (* 3 3) 3) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* x.im x.im) x.im))) (* (* (* 3 3) 3) (* (* (* (* x.re x.im) x.im) (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im))) (* (cbrt (* 3 (* (* x.re x.im) x.im))) (cbrt (* 3 (* (* x.re x.im) x.im)))) (cbrt (* 3 (* (* x.re x.im) x.im))) (* (* (* 3 (* (* x.re x.im) x.im)) (* 3 (* (* x.re x.im) x.im))) (* 3 (* (* x.re x.im) x.im))) (sqrt (* 3 (* (* x.re x.im) x.im))) (sqrt (* 3 (* (* x.re x.im) x.im))) (* 3 (* x.re x.im)) (* (cbrt 3) (* (* x.re x.im) x.im)) (* (sqrt 3) (* (* x.re x.im) x.im)) (* 3 (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) (+ (+ (log x.re) (log x.im)) (log x.im)) (+ (log (* x.re x.im)) (log x.im)) (log (* (* x.re x.im) x.im)) (exp (* (* x.re x.im) x.im)) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* x.im x.im) x.im)) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* x.im x.im) x.im)) (* (cbrt (* (* x.re x.im) x.im)) (cbrt (* (* x.re x.im) x.im))) (cbrt (* (* x.re x.im) x.im)) (* (* (* (* x.re x.im) x.im) (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im)) (sqrt (* (* x.re x.im) x.im)) (sqrt (* (* x.re x.im) x.im)) (* (* x.re x.im) (* (cbrt x.im) (cbrt x.im))) (* (* x.re x.im) (sqrt x.im)) (* (* x.re x.im) 1) (* x.im x.im) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) 1.111 * * [simplify]: iteration 0 : 60 enodes (cost 406 ) 1.121 * * [simplify]: iteration 1 : 169 enodes (cost 387 ) 1.164 * * [simplify]: iteration 2 : 722 enodes (cost 309 ) 1.426 * * [simplify]: iteration 3 : 3207 enodes (cost 309 ) 2.086 * * [simplify]: iteration done : 5000 enodes (cost 309 ) 2.087 * [simplify]: Simplified to: (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (log (* 3 (* (pow x.im 2) x.re))) (log (* 3 (* (pow x.im 2) x.re))) (log (* 3 (* (pow x.im 2) x.re))) (log (* 3 (* (pow x.im 2) x.re))) (exp (* 3 (* (* x.re x.im) x.im))) (* 27 (pow (* (* x.re x.im) x.im) 3)) (* 27 (pow (* (* x.re x.im) x.im) 3)) (* 27 (pow (* (* x.re x.im) x.im) 3)) (* (cbrt (* 3 (* (* x.re x.im) x.im))) (cbrt (* 3 (* (* x.re x.im) x.im)))) (cbrt (* 3 (* (* x.re x.im) x.im))) (* 27 (pow (* (* x.re x.im) x.im) 3)) (sqrt (* 3 (* (* x.re x.im) x.im))) (sqrt (* 3 (* (* x.re x.im) x.im))) (* 3 (* x.re x.im)) (* (cbrt 3) (* (* x.re x.im) x.im)) (* (sqrt 3) (* (* x.re x.im) x.im)) (* 3 (* (pow x.im 2) x.re)) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) (log (* (* x.re x.im) x.im)) (log (* (* x.re x.im) x.im)) (log (* (* x.re x.im) x.im)) (exp (* (* x.re x.im) x.im)) (pow (* (* x.re x.im) x.im) 3) (pow (* (* x.re x.im) x.im) 3) (* (cbrt (* (* x.re x.im) x.im)) (cbrt (* (* x.re x.im) x.im))) (cbrt (* (* x.re x.im) x.im)) (pow (* (* x.re x.im) x.im) 3) (sqrt (* (* x.re x.im) x.im)) (sqrt (* (* x.re x.im) x.im)) (* (* x.re x.im) (* (cbrt x.im) (cbrt x.im))) (* (* x.re x.im) (sqrt x.im)) (* x.re x.im) (* x.im x.im) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) 2.087 * * * [progress]: adding candidates to table 2.137 * * [progress]: iteration 2 / 4 2.137 * * * [progress]: picking best candidate 2.161 * * * * [pick]: Picked # 2.161 * * * [progress]: localizing error 2.168 * * * [progress]: generating rewritten candidates 2.168 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 2.174 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.182 * * * [progress]: generating series expansions 2.183 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 2.183 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.re x.im) around 0 2.183 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 2.183 * [taylor]: Taking taylor expansion of 3 in x.im 2.183 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 2.183 * [taylor]: Taking taylor expansion of x.im in x.im 2.183 * [taylor]: Taking taylor expansion of x.re in x.im 2.183 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 2.183 * [taylor]: Taking taylor expansion of 3 in x.re 2.183 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 2.183 * [taylor]: Taking taylor expansion of x.im in x.re 2.183 * [taylor]: Taking taylor expansion of x.re in x.re 2.183 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 2.183 * [taylor]: Taking taylor expansion of 3 in x.re 2.183 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 2.183 * [taylor]: Taking taylor expansion of x.im in x.re 2.183 * [taylor]: Taking taylor expansion of x.re in x.re 2.183 * [taylor]: Taking taylor expansion of 0 in x.im 2.183 * [taylor]: Taking taylor expansion of (* 3 x.im) in x.im 2.183 * [taylor]: Taking taylor expansion of 3 in x.im 2.183 * [taylor]: Taking taylor expansion of x.im in x.im 2.183 * [taylor]: Taking taylor expansion of 0 in x.im 2.183 * [taylor]: Taking taylor expansion of 0 in x.im 2.184 * [taylor]: Taking taylor expansion of 0 in x.im 2.184 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.re x.im) around 0 2.184 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 2.184 * [taylor]: Taking taylor expansion of 3 in x.im 2.184 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 2.184 * [taylor]: Taking taylor expansion of x.im in x.im 2.184 * [taylor]: Taking taylor expansion of x.re in x.im 2.184 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 2.184 * [taylor]: Taking taylor expansion of 3 in x.re 2.184 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 2.184 * [taylor]: Taking taylor expansion of x.im in x.re 2.184 * [taylor]: Taking taylor expansion of x.re in x.re 2.184 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 2.184 * [taylor]: Taking taylor expansion of 3 in x.re 2.184 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 2.184 * [taylor]: Taking taylor expansion of x.im in x.re 2.184 * [taylor]: Taking taylor expansion of x.re in x.re 2.184 * [taylor]: Taking taylor expansion of (/ 3 x.im) in x.im 2.184 * [taylor]: Taking taylor expansion of 3 in x.im 2.184 * [taylor]: Taking taylor expansion of x.im in x.im 2.184 * [taylor]: Taking taylor expansion of 0 in x.im 2.185 * [taylor]: Taking taylor expansion of 0 in x.im 2.185 * [taylor]: Taking taylor expansion of 0 in x.im 2.185 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.re x.im) around 0 2.185 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 2.185 * [taylor]: Taking taylor expansion of 3 in x.im 2.185 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 2.185 * [taylor]: Taking taylor expansion of x.im in x.im 2.185 * [taylor]: Taking taylor expansion of x.re in x.im 2.185 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 2.185 * [taylor]: Taking taylor expansion of 3 in x.re 2.185 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 2.185 * [taylor]: Taking taylor expansion of x.im in x.re 2.185 * [taylor]: Taking taylor expansion of x.re in x.re 2.185 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 2.185 * [taylor]: Taking taylor expansion of 3 in x.re 2.185 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 2.185 * [taylor]: Taking taylor expansion of x.im in x.re 2.186 * [taylor]: Taking taylor expansion of x.re in x.re 2.186 * [taylor]: Taking taylor expansion of (/ 3 x.im) in x.im 2.186 * [taylor]: Taking taylor expansion of 3 in x.im 2.186 * [taylor]: Taking taylor expansion of x.im in x.im 2.186 * [taylor]: Taking taylor expansion of 0 in x.im 2.186 * [taylor]: Taking taylor expansion of 0 in x.im 2.186 * [taylor]: Taking taylor expansion of 0 in x.im 2.186 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.187 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 2.187 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 2.187 * [taylor]: Taking taylor expansion of 3 in x.im 2.187 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 2.187 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.187 * [taylor]: Taking taylor expansion of x.im in x.im 2.187 * [taylor]: Taking taylor expansion of x.re in x.im 2.187 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 2.187 * [taylor]: Taking taylor expansion of 3 in x.re 2.187 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 2.187 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 2.187 * [taylor]: Taking taylor expansion of x.im in x.re 2.187 * [taylor]: Taking taylor expansion of x.re in x.re 2.187 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 2.187 * [taylor]: Taking taylor expansion of 3 in x.re 2.187 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 2.187 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 2.187 * [taylor]: Taking taylor expansion of x.im in x.re 2.187 * [taylor]: Taking taylor expansion of x.re in x.re 2.187 * [taylor]: Taking taylor expansion of 0 in x.im 2.187 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 2.187 * [taylor]: Taking taylor expansion of 3 in x.im 2.187 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.187 * [taylor]: Taking taylor expansion of x.im in x.im 2.188 * [taylor]: Taking taylor expansion of 0 in x.im 2.188 * [taylor]: Taking taylor expansion of 0 in x.im 2.188 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 2.188 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 2.188 * [taylor]: Taking taylor expansion of 3 in x.im 2.188 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 2.188 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.188 * [taylor]: Taking taylor expansion of x.im in x.im 2.188 * [taylor]: Taking taylor expansion of x.re in x.im 2.188 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 2.188 * [taylor]: Taking taylor expansion of 3 in x.re 2.188 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 2.188 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 2.188 * [taylor]: Taking taylor expansion of x.im in x.re 2.188 * [taylor]: Taking taylor expansion of x.re in x.re 2.189 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 2.189 * [taylor]: Taking taylor expansion of 3 in x.re 2.189 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 2.189 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 2.189 * [taylor]: Taking taylor expansion of x.im in x.re 2.189 * [taylor]: Taking taylor expansion of x.re in x.re 2.189 * [taylor]: Taking taylor expansion of (/ 3 (pow x.im 2)) in x.im 2.189 * [taylor]: Taking taylor expansion of 3 in x.im 2.189 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.189 * [taylor]: Taking taylor expansion of x.im in x.im 2.189 * [taylor]: Taking taylor expansion of 0 in x.im 2.190 * [taylor]: Taking taylor expansion of 0 in x.im 2.190 * [taylor]: Taking taylor expansion of 0 in x.im 2.191 * [taylor]: Taking taylor expansion of 0 in x.im 2.191 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 2.191 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 2.191 * [taylor]: Taking taylor expansion of -3 in x.im 2.191 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 2.191 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.191 * [taylor]: Taking taylor expansion of x.im in x.im 2.191 * [taylor]: Taking taylor expansion of x.re in x.im 2.191 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 2.191 * [taylor]: Taking taylor expansion of -3 in x.re 2.191 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 2.192 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 2.192 * [taylor]: Taking taylor expansion of x.im in x.re 2.192 * [taylor]: Taking taylor expansion of x.re in x.re 2.192 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 2.192 * [taylor]: Taking taylor expansion of -3 in x.re 2.192 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 2.192 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 2.192 * [taylor]: Taking taylor expansion of x.im in x.re 2.192 * [taylor]: Taking taylor expansion of x.re in x.re 2.192 * [taylor]: Taking taylor expansion of (/ -3 (pow x.im 2)) in x.im 2.192 * [taylor]: Taking taylor expansion of -3 in x.im 2.192 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.192 * [taylor]: Taking taylor expansion of x.im in x.im 2.193 * [taylor]: Taking taylor expansion of 0 in x.im 2.193 * [taylor]: Taking taylor expansion of 0 in x.im 2.194 * [taylor]: Taking taylor expansion of 0 in x.im 2.194 * [taylor]: Taking taylor expansion of 0 in x.im 2.194 * * * [progress]: simplifying candidates 2.195 * [simplify]: Simplifying using # : (* 3 (* x.re x.im)) (* 3 (* x.re x.im)) (+ (log 3) (+ (log x.re) (log x.im))) (+ (log 3) (log (* x.re x.im))) (log (* 3 (* x.re x.im))) (exp (* 3 (* x.re x.im))) (* (* (* 3 3) 3) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* (* 3 3) 3) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (cbrt (* 3 (* x.re x.im))) (cbrt (* 3 (* x.re x.im)))) (cbrt (* 3 (* x.re x.im))) (* (* (* 3 (* x.re x.im)) (* 3 (* x.re x.im))) (* 3 (* x.re x.im))) (sqrt (* 3 (* x.re x.im))) (sqrt (* 3 (* x.re x.im))) (* 3 x.re) (* (cbrt 3) (* x.re x.im)) (* (sqrt 3) (* x.re x.im)) (* 3 (* x.re x.im)) (* (* 3 (* x.re x.im)) x.im) (* (* 3 (* x.re x.im)) x.im) (* (* 3 (* x.re x.im)) x.im) (+ (+ (log 3) (+ (log x.re) (log x.im))) (log x.im)) (+ (+ (log 3) (log (* x.re x.im))) (log x.im)) (+ (log (* 3 (* x.re x.im))) (log x.im)) (log (* (* 3 (* x.re x.im)) x.im)) (exp (* (* 3 (* x.re x.im)) x.im)) (* (* (* (* 3 3) 3) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* x.im x.im) x.im)) (* (* (* (* 3 3) 3) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (* x.im x.im) x.im)) (* (* (* (* 3 (* x.re x.im)) (* 3 (* x.re x.im))) (* 3 (* x.re x.im))) (* (* x.im x.im) x.im)) (* (cbrt (* (* 3 (* x.re x.im)) x.im)) (cbrt (* (* 3 (* x.re x.im)) x.im))) (cbrt (* (* 3 (* x.re x.im)) x.im)) (* (* (* (* 3 (* x.re x.im)) x.im) (* (* 3 (* x.re x.im)) x.im)) (* (* 3 (* x.re x.im)) x.im)) (sqrt (* (* 3 (* x.re x.im)) x.im)) (sqrt (* (* 3 (* x.re x.im)) x.im)) (* (* 3 (* x.re x.im)) (* (cbrt x.im) (cbrt x.im))) (* (* 3 (* x.re x.im)) (sqrt x.im)) (* (* 3 (* x.re x.im)) 1) (* (* x.re x.im) x.im) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) 2.197 * * [simplify]: iteration 0 : 63 enodes (cost 406 ) 2.207 * * [simplify]: iteration 1 : 174 enodes (cost 381 ) 2.255 * * [simplify]: iteration 2 : 778 enodes (cost 309 ) 2.640 * * [simplify]: iteration 3 : 4275 enodes (cost 309 ) 3.432 * * [simplify]: iteration done : 5000 enodes (cost 309 ) 3.433 * [simplify]: Simplified to: (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (log (* 3 (* x.re x.im))) (log (* 3 (* x.re x.im))) (log (* 3 (* x.re x.im))) (exp (* 3 (* x.re x.im))) (* 27 (pow (* x.im x.re) 3)) (* 27 (pow (* x.im x.re) 3)) (* (cbrt (* 3 (* x.re x.im))) (cbrt (* 3 (* x.re x.im)))) (cbrt (* 3 (* x.re x.im))) (* 27 (pow (* x.im x.re) 3)) (sqrt (* 3 (* x.re x.im))) (sqrt (* 3 (* x.re x.im))) (* 3 x.re) (* (cbrt 3) (* x.re x.im)) (* (sqrt 3) (* x.re x.im)) (* 3 (* x.im x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (log (* 3 (* (pow x.im 2) x.re))) (log (* 3 (* (pow x.im 2) x.re))) (log (* 3 (* (pow x.im 2) x.re))) (log (* 3 (* (pow x.im 2) x.re))) (exp (* (* 3 (* x.re x.im)) x.im)) (pow (* 3 (* (pow x.im 2) x.re)) 3) (pow (* 3 (* (pow x.im 2) x.re)) 3) (pow (* 3 (* (pow x.im 2) x.re)) 3) (* (cbrt (* (* 3 (* x.re x.im)) x.im)) (cbrt (* (* 3 (* x.re x.im)) x.im))) (cbrt (* (* 3 (* x.re x.im)) x.im)) (pow (* 3 (* (pow x.im 2) x.re)) 3) (sqrt (* (* 3 (* x.re x.im)) x.im)) (sqrt (* (* 3 (* x.re x.im)) x.im)) (* (* 3 (* x.re x.im)) (* (cbrt x.im) (cbrt x.im))) (* (* 3 (* x.re x.im)) (sqrt x.im)) (* 3 (* x.im x.re)) (* (* x.re x.im) x.im) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) 3.433 * * * [progress]: adding candidates to table 3.485 * * [progress]: iteration 3 / 4 3.485 * * * [progress]: picking best candidate 3.507 * * * * [pick]: Picked # 3.507 * * * [progress]: localizing error 3.515 * * * [progress]: generating rewritten candidates 3.515 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 3.521 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.529 * * * [progress]: generating series expansions 3.529 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 3.529 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.re x.im) around 0 3.529 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 3.529 * [taylor]: Taking taylor expansion of 3 in x.im 3.529 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 3.529 * [taylor]: Taking taylor expansion of x.im in x.im 3.529 * [taylor]: Taking taylor expansion of x.re in x.im 3.529 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 3.529 * [taylor]: Taking taylor expansion of 3 in x.re 3.529 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 3.529 * [taylor]: Taking taylor expansion of x.im in x.re 3.529 * [taylor]: Taking taylor expansion of x.re in x.re 3.529 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 3.529 * [taylor]: Taking taylor expansion of 3 in x.re 3.529 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 3.530 * [taylor]: Taking taylor expansion of x.im in x.re 3.530 * [taylor]: Taking taylor expansion of x.re in x.re 3.530 * [taylor]: Taking taylor expansion of 0 in x.im 3.530 * [taylor]: Taking taylor expansion of (* 3 x.im) in x.im 3.530 * [taylor]: Taking taylor expansion of 3 in x.im 3.530 * [taylor]: Taking taylor expansion of x.im in x.im 3.530 * [taylor]: Taking taylor expansion of 0 in x.im 3.530 * [taylor]: Taking taylor expansion of 0 in x.im 3.530 * [taylor]: Taking taylor expansion of 0 in x.im 3.530 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.re x.im) around 0 3.530 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 3.530 * [taylor]: Taking taylor expansion of 3 in x.im 3.530 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 3.530 * [taylor]: Taking taylor expansion of x.im in x.im 3.530 * [taylor]: Taking taylor expansion of x.re in x.im 3.531 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 3.531 * [taylor]: Taking taylor expansion of 3 in x.re 3.531 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 3.531 * [taylor]: Taking taylor expansion of x.im in x.re 3.531 * [taylor]: Taking taylor expansion of x.re in x.re 3.531 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 3.531 * [taylor]: Taking taylor expansion of 3 in x.re 3.531 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 3.531 * [taylor]: Taking taylor expansion of x.im in x.re 3.531 * [taylor]: Taking taylor expansion of x.re in x.re 3.531 * [taylor]: Taking taylor expansion of (/ 3 x.im) in x.im 3.531 * [taylor]: Taking taylor expansion of 3 in x.im 3.531 * [taylor]: Taking taylor expansion of x.im in x.im 3.531 * [taylor]: Taking taylor expansion of 0 in x.im 3.531 * [taylor]: Taking taylor expansion of 0 in x.im 3.531 * [taylor]: Taking taylor expansion of 0 in x.im 3.532 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.re x.im) around 0 3.532 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 3.532 * [taylor]: Taking taylor expansion of 3 in x.im 3.532 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 3.532 * [taylor]: Taking taylor expansion of x.im in x.im 3.532 * [taylor]: Taking taylor expansion of x.re in x.im 3.532 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 3.532 * [taylor]: Taking taylor expansion of 3 in x.re 3.532 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 3.532 * [taylor]: Taking taylor expansion of x.im in x.re 3.532 * [taylor]: Taking taylor expansion of x.re in x.re 3.532 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 3.532 * [taylor]: Taking taylor expansion of 3 in x.re 3.532 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 3.532 * [taylor]: Taking taylor expansion of x.im in x.re 3.532 * [taylor]: Taking taylor expansion of x.re in x.re 3.532 * [taylor]: Taking taylor expansion of (/ 3 x.im) in x.im 3.532 * [taylor]: Taking taylor expansion of 3 in x.im 3.532 * [taylor]: Taking taylor expansion of x.im in x.im 3.532 * [taylor]: Taking taylor expansion of 0 in x.im 3.533 * [taylor]: Taking taylor expansion of 0 in x.im 3.533 * [taylor]: Taking taylor expansion of 0 in x.im 3.533 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.533 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 3.533 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 3.533 * [taylor]: Taking taylor expansion of 3 in x.im 3.533 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 3.533 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 3.533 * [taylor]: Taking taylor expansion of x.im in x.im 3.533 * [taylor]: Taking taylor expansion of x.re in x.im 3.533 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 3.533 * [taylor]: Taking taylor expansion of 3 in x.re 3.533 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 3.533 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 3.533 * [taylor]: Taking taylor expansion of x.im in x.re 3.533 * [taylor]: Taking taylor expansion of x.re in x.re 3.533 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 3.533 * [taylor]: Taking taylor expansion of 3 in x.re 3.533 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 3.533 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 3.533 * [taylor]: Taking taylor expansion of x.im in x.re 3.533 * [taylor]: Taking taylor expansion of x.re in x.re 3.534 * [taylor]: Taking taylor expansion of 0 in x.im 3.534 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 3.534 * [taylor]: Taking taylor expansion of 3 in x.im 3.534 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 3.534 * [taylor]: Taking taylor expansion of x.im in x.im 3.534 * [taylor]: Taking taylor expansion of 0 in x.im 3.534 * [taylor]: Taking taylor expansion of 0 in x.im 3.535 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 3.535 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 3.535 * [taylor]: Taking taylor expansion of 3 in x.im 3.535 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 3.535 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 3.535 * [taylor]: Taking taylor expansion of x.im in x.im 3.535 * [taylor]: Taking taylor expansion of x.re in x.im 3.535 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 3.535 * [taylor]: Taking taylor expansion of 3 in x.re 3.535 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 3.535 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 3.535 * [taylor]: Taking taylor expansion of x.im in x.re 3.535 * [taylor]: Taking taylor expansion of x.re in x.re 3.535 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 3.535 * [taylor]: Taking taylor expansion of 3 in x.re 3.535 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 3.535 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 3.535 * [taylor]: Taking taylor expansion of x.im in x.re 3.535 * [taylor]: Taking taylor expansion of x.re in x.re 3.536 * [taylor]: Taking taylor expansion of (/ 3 (pow x.im 2)) in x.im 3.536 * [taylor]: Taking taylor expansion of 3 in x.im 3.536 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 3.536 * [taylor]: Taking taylor expansion of x.im in x.im 3.536 * [taylor]: Taking taylor expansion of 0 in x.im 3.536 * [taylor]: Taking taylor expansion of 0 in x.im 3.537 * [taylor]: Taking taylor expansion of 0 in x.im 3.538 * [taylor]: Taking taylor expansion of 0 in x.im 3.538 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 3.538 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 3.538 * [taylor]: Taking taylor expansion of -3 in x.im 3.538 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 3.538 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 3.538 * [taylor]: Taking taylor expansion of x.im in x.im 3.538 * [taylor]: Taking taylor expansion of x.re in x.im 3.538 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 3.538 * [taylor]: Taking taylor expansion of -3 in x.re 3.538 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 3.538 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 3.538 * [taylor]: Taking taylor expansion of x.im in x.re 3.538 * [taylor]: Taking taylor expansion of x.re in x.re 3.538 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 3.538 * [taylor]: Taking taylor expansion of -3 in x.re 3.538 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 3.538 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 3.538 * [taylor]: Taking taylor expansion of x.im in x.re 3.538 * [taylor]: Taking taylor expansion of x.re in x.re 3.539 * [taylor]: Taking taylor expansion of (/ -3 (pow x.im 2)) in x.im 3.539 * [taylor]: Taking taylor expansion of -3 in x.im 3.539 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 3.539 * [taylor]: Taking taylor expansion of x.im in x.im 3.539 * [taylor]: Taking taylor expansion of 0 in x.im 3.540 * [taylor]: Taking taylor expansion of 0 in x.im 3.540 * [taylor]: Taking taylor expansion of 0 in x.im 3.541 * [taylor]: Taking taylor expansion of 0 in x.im 3.541 * * * [progress]: simplifying candidates 3.542 * [simplify]: Simplifying using # : (* (* 3 x.re) x.im) (* (* 3 x.re) x.im) (+ (+ (log 3) (log x.re)) (log x.im)) (+ (log (* 3 x.re)) (log x.im)) (log (* (* 3 x.re) x.im)) (exp (* (* 3 x.re) 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)) (* (* x.im x.im) x.im)) (* (cbrt (* (* 3 x.re) x.im)) (cbrt (* (* 3 x.re) x.im))) (cbrt (* (* 3 x.re) x.im)) (* (* (* (* 3 x.re) x.im) (* (* 3 x.re) x.im)) (* (* 3 x.re) x.im)) (sqrt (* (* 3 x.re) x.im)) (sqrt (* (* 3 x.re) x.im)) (* (* 3 x.re) (* (cbrt x.im) (cbrt x.im))) (* (* 3 x.re) (sqrt x.im)) (* (* 3 x.re) 1) (* x.re x.im) (* (* (* 3 x.re) x.im) x.im) (* (* (* 3 x.re) x.im) x.im) (* (* (* 3 x.re) x.im) x.im) (+ (+ (+ (log 3) (log x.re)) (log x.im)) (log x.im)) (+ (+ (log (* 3 x.re)) (log x.im)) (log x.im)) (+ (log (* (* 3 x.re) x.im)) (log x.im)) (log (* (* (* 3 x.re) x.im) x.im)) (exp (* (* (* 3 x.re) x.im) x.im)) (* (* (* (* (* 3 3) 3) (* (* x.re x.re) x.re)) (* (* x.im x.im) x.im)) (* (* x.im x.im) x.im)) (* (* (* (* (* 3 x.re) (* 3 x.re)) (* 3 x.re)) (* (* x.im x.im) x.im)) (* (* x.im x.im) x.im)) (* (* (* (* (* 3 x.re) x.im) (* (* 3 x.re) x.im)) (* (* 3 x.re) x.im)) (* (* x.im x.im) x.im)) (* (cbrt (* (* (* 3 x.re) x.im) x.im)) (cbrt (* (* (* 3 x.re) x.im) x.im))) (cbrt (* (* (* 3 x.re) x.im) x.im)) (* (* (* (* (* 3 x.re) x.im) x.im) (* (* (* 3 x.re) x.im) x.im)) (* (* (* 3 x.re) x.im) x.im)) (sqrt (* (* (* 3 x.re) x.im) x.im)) (sqrt (* (* (* 3 x.re) x.im) x.im)) (* (* (* 3 x.re) x.im) (* (cbrt x.im) (cbrt x.im))) (* (* (* 3 x.re) x.im) (sqrt x.im)) (* (* (* 3 x.re) x.im) 1) (* x.im x.im) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) 3.544 * * [simplify]: iteration 0 : 61 enodes (cost 407 ) 3.554 * * [simplify]: iteration 1 : 175 enodes (cost 380 ) 3.605 * * [simplify]: iteration 2 : 843 enodes (cost 308 ) 3.922 * * [simplify]: iteration 3 : 3990 enodes (cost 308 ) 4.641 * * [simplify]: iteration done : 5001 enodes (cost 308 ) 4.641 * [simplify]: Simplified to: (* (* 3 x.re) x.im) (* (* 3 x.re) x.im) (log (* (* 3 x.re) x.im)) (log (* (* 3 x.re) x.im)) (log (* (* 3 x.re) x.im)) (exp (* (* 3 x.re) x.im)) (pow (* (* 3 x.re) x.im) 3) (pow (* (* 3 x.re) x.im) 3) (* (cbrt (* (* 3 x.re) x.im)) (cbrt (* (* 3 x.re) x.im))) (cbrt (* (* 3 x.re) x.im)) (pow (* (* 3 x.re) x.im) 3) (sqrt (* (* 3 x.re) x.im)) (sqrt (* (* 3 x.re) x.im)) (* (* 3 x.re) (* (cbrt x.im) (cbrt x.im))) (* (* 3 x.re) (sqrt x.im)) (* 3 x.re) (* x.im x.re) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (log (* (* (* 3 x.re) x.im) x.im)) (log (* (* (* 3 x.re) x.im) x.im)) (log (* (* (* 3 x.re) x.im) x.im)) (log (* (* (* 3 x.re) x.im) x.im)) (exp (* (* (* 3 x.re) x.im) x.im)) (pow (* 3 (* (pow x.im 2) x.re)) 3) (pow (* 3 (* (pow x.im 2) x.re)) 3) (pow (* 3 (* (pow x.im 2) x.re)) 3) (* (cbrt (* (* (* 3 x.re) x.im) x.im)) (cbrt (* (* (* 3 x.re) x.im) x.im))) (cbrt (* (* (* 3 x.re) x.im) x.im)) (pow (* 3 (* (pow x.im 2) x.re)) 3) (sqrt (* (* (* 3 x.re) x.im) x.im)) (sqrt (* (* (* 3 x.re) x.im) x.im)) (* (* (* 3 x.re) x.im) (* (cbrt x.im) (cbrt x.im))) (* (* (* 3 x.re) x.im) (sqrt x.im)) (* (* 3 x.re) x.im) (* x.im x.im) (* (* 3 x.re) x.im) (* (* 3 x.re) x.im) (* (* 3 x.re) x.im) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) 4.641 * * * [progress]: adding candidates to table 4.689 * * [progress]: iteration 4 / 4 4.689 * * * [progress]: picking best candidate 4.704 * * * * [pick]: Picked # 4.704 * * * [progress]: localizing error 4.724 * * * [progress]: generating rewritten candidates 4.724 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 4.733 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 4.746 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 2) 4.757 * * * [progress]: generating series expansions 4.757 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 4.757 * [approximate]: Taking taylor expansion of (* x.re (* (pow x.im 2) (sqrt 3))) in (x.re x.im) around 0 4.757 * [taylor]: Taking taylor expansion of (* x.re (* (pow x.im 2) (sqrt 3))) in x.im 4.758 * [taylor]: Taking taylor expansion of x.re in x.im 4.758 * [taylor]: Taking taylor expansion of (* (pow x.im 2) (sqrt 3)) in x.im 4.758 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.758 * [taylor]: Taking taylor expansion of x.im in x.im 4.758 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 4.758 * [taylor]: Taking taylor expansion of 3 in x.im 4.758 * [taylor]: Taking taylor expansion of (* x.re (* (pow x.im 2) (sqrt 3))) in x.re 4.758 * [taylor]: Taking taylor expansion of x.re in x.re 4.758 * [taylor]: Taking taylor expansion of (* (pow x.im 2) (sqrt 3)) in x.re 4.758 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.758 * [taylor]: Taking taylor expansion of x.im in x.re 4.758 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 4.758 * [taylor]: Taking taylor expansion of 3 in x.re 4.758 * [taylor]: Taking taylor expansion of (* x.re (* (pow x.im 2) (sqrt 3))) in x.re 4.758 * [taylor]: Taking taylor expansion of x.re in x.re 4.758 * [taylor]: Taking taylor expansion of (* (pow x.im 2) (sqrt 3)) in x.re 4.758 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.758 * [taylor]: Taking taylor expansion of x.im in x.re 4.758 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 4.758 * [taylor]: Taking taylor expansion of 3 in x.re 4.758 * [taylor]: Taking taylor expansion of 0 in x.im 4.758 * [taylor]: Taking taylor expansion of (* (pow x.im 2) (sqrt 3)) in x.im 4.759 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.759 * [taylor]: Taking taylor expansion of x.im in x.im 4.759 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 4.759 * [taylor]: Taking taylor expansion of 3 in x.im 4.759 * [taylor]: Taking taylor expansion of 0 in x.im 4.759 * [taylor]: Taking taylor expansion of 0 in x.im 4.760 * [approximate]: Taking taylor expansion of (/ (sqrt 3) (* x.re (pow x.im 2))) in (x.re x.im) around 0 4.760 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.re (pow x.im 2))) in x.im 4.760 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 4.760 * [taylor]: Taking taylor expansion of 3 in x.im 4.760 * [taylor]: Taking taylor expansion of (* x.re (pow x.im 2)) in x.im 4.760 * [taylor]: Taking taylor expansion of x.re in x.im 4.760 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.760 * [taylor]: Taking taylor expansion of x.im in x.im 4.760 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.re (pow x.im 2))) in x.re 4.760 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 4.760 * [taylor]: Taking taylor expansion of 3 in x.re 4.760 * [taylor]: Taking taylor expansion of (* x.re (pow x.im 2)) in x.re 4.760 * [taylor]: Taking taylor expansion of x.re in x.re 4.760 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.760 * [taylor]: Taking taylor expansion of x.im in x.re 4.760 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.re (pow x.im 2))) in x.re 4.760 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 4.760 * [taylor]: Taking taylor expansion of 3 in x.re 4.760 * [taylor]: Taking taylor expansion of (* x.re (pow x.im 2)) in x.re 4.760 * [taylor]: Taking taylor expansion of x.re in x.re 4.760 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.760 * [taylor]: Taking taylor expansion of x.im in x.re 4.761 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow x.im 2)) in x.im 4.761 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 4.761 * [taylor]: Taking taylor expansion of 3 in x.im 4.761 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.761 * [taylor]: Taking taylor expansion of x.im in x.im 4.761 * [taylor]: Taking taylor expansion of 0 in x.im 4.762 * [taylor]: Taking taylor expansion of 0 in x.im 4.762 * [taylor]: Taking taylor expansion of 0 in x.im 4.763 * [taylor]: Taking taylor expansion of 0 in x.im 4.764 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 3) (* x.re (pow x.im 2)))) in (x.re x.im) around 0 4.764 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) (* x.re (pow x.im 2)))) in x.im 4.764 * [taylor]: Taking taylor expansion of -1 in x.im 4.764 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.re (pow x.im 2))) in x.im 4.764 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 4.764 * [taylor]: Taking taylor expansion of 3 in x.im 4.764 * [taylor]: Taking taylor expansion of (* x.re (pow x.im 2)) in x.im 4.764 * [taylor]: Taking taylor expansion of x.re in x.im 4.764 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.764 * [taylor]: Taking taylor expansion of x.im in x.im 4.764 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) (* x.re (pow x.im 2)))) in x.re 4.764 * [taylor]: Taking taylor expansion of -1 in x.re 4.764 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.re (pow x.im 2))) in x.re 4.764 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 4.764 * [taylor]: Taking taylor expansion of 3 in x.re 4.764 * [taylor]: Taking taylor expansion of (* x.re (pow x.im 2)) in x.re 4.764 * [taylor]: Taking taylor expansion of x.re in x.re 4.764 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.764 * [taylor]: Taking taylor expansion of x.im in x.re 4.764 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) (* x.re (pow x.im 2)))) in x.re 4.764 * [taylor]: Taking taylor expansion of -1 in x.re 4.764 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.re (pow x.im 2))) in x.re 4.764 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 4.764 * [taylor]: Taking taylor expansion of 3 in x.re 4.764 * [taylor]: Taking taylor expansion of (* x.re (pow x.im 2)) in x.re 4.764 * [taylor]: Taking taylor expansion of x.re in x.re 4.764 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.764 * [taylor]: Taking taylor expansion of x.im in x.re 4.765 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) (pow x.im 2))) in x.im 4.765 * [taylor]: Taking taylor expansion of -1 in x.im 4.765 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow x.im 2)) in x.im 4.765 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 4.765 * [taylor]: Taking taylor expansion of 3 in x.im 4.765 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.765 * [taylor]: Taking taylor expansion of x.im in x.im 4.765 * [taylor]: Taking taylor expansion of 0 in x.im 4.766 * [taylor]: Taking taylor expansion of 0 in x.im 4.767 * [taylor]: Taking taylor expansion of 0 in x.im 4.768 * [taylor]: Taking taylor expansion of 0 in x.im 4.768 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 4.769 * [approximate]: Taking taylor expansion of (* x.re (* (pow x.im 2) (pow (sqrt 3) 2))) in (x.re x.im) around 0 4.769 * [taylor]: Taking taylor expansion of (* x.re (* (pow x.im 2) (pow (sqrt 3) 2))) in x.im 4.769 * [taylor]: Taking taylor expansion of x.re in x.im 4.769 * [taylor]: Taking taylor expansion of (* (pow x.im 2) (pow (sqrt 3) 2)) in x.im 4.769 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.769 * [taylor]: Taking taylor expansion of x.im in x.im 4.769 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 4.769 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 4.769 * [taylor]: Taking taylor expansion of 3 in x.im 4.769 * [taylor]: Taking taylor expansion of (* x.re (* (pow x.im 2) (pow (sqrt 3) 2))) in x.re 4.769 * [taylor]: Taking taylor expansion of x.re in x.re 4.769 * [taylor]: Taking taylor expansion of (* (pow x.im 2) (pow (sqrt 3) 2)) in x.re 4.769 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.769 * [taylor]: Taking taylor expansion of x.im in x.re 4.769 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 4.769 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 4.769 * [taylor]: Taking taylor expansion of 3 in x.re 4.769 * [taylor]: Taking taylor expansion of (* x.re (* (pow x.im 2) (pow (sqrt 3) 2))) in x.re 4.769 * [taylor]: Taking taylor expansion of x.re in x.re 4.769 * [taylor]: Taking taylor expansion of (* (pow x.im 2) (pow (sqrt 3) 2)) in x.re 4.769 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.769 * [taylor]: Taking taylor expansion of x.im in x.re 4.769 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 4.769 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 4.769 * [taylor]: Taking taylor expansion of 3 in x.re 4.769 * [taylor]: Taking taylor expansion of 0 in x.im 4.770 * [taylor]: Taking taylor expansion of (* (pow x.im 2) (pow (sqrt 3) 2)) in x.im 4.770 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.770 * [taylor]: Taking taylor expansion of x.im in x.im 4.770 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 4.770 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 4.770 * [taylor]: Taking taylor expansion of 3 in x.im 4.771 * [taylor]: Taking taylor expansion of 0 in x.im 4.771 * [taylor]: Taking taylor expansion of 0 in x.im 4.771 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.re (pow x.im 2))) in (x.re x.im) around 0 4.771 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.re (pow x.im 2))) in x.im 4.772 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 4.772 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 4.772 * [taylor]: Taking taylor expansion of 3 in x.im 4.772 * [taylor]: Taking taylor expansion of (* x.re (pow x.im 2)) in x.im 4.772 * [taylor]: Taking taylor expansion of x.re in x.im 4.772 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.772 * [taylor]: Taking taylor expansion of x.im in x.im 4.772 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.re (pow x.im 2))) in x.re 4.772 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 4.772 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 4.772 * [taylor]: Taking taylor expansion of 3 in x.re 4.772 * [taylor]: Taking taylor expansion of (* x.re (pow x.im 2)) in x.re 4.772 * [taylor]: Taking taylor expansion of x.re in x.re 4.772 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.772 * [taylor]: Taking taylor expansion of x.im in x.re 4.772 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.re (pow x.im 2))) in x.re 4.772 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 4.772 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 4.772 * [taylor]: Taking taylor expansion of 3 in x.re 4.772 * [taylor]: Taking taylor expansion of (* x.re (pow x.im 2)) in x.re 4.772 * [taylor]: Taking taylor expansion of x.re in x.re 4.772 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.772 * [taylor]: Taking taylor expansion of x.im in x.re 4.773 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow x.im 2)) in x.im 4.773 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 4.773 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 4.773 * [taylor]: Taking taylor expansion of 3 in x.im 4.773 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.773 * [taylor]: Taking taylor expansion of x.im in x.im 4.774 * [taylor]: Taking taylor expansion of 0 in x.im 4.774 * [taylor]: Taking taylor expansion of 0 in x.im 4.775 * [taylor]: Taking taylor expansion of 0 in x.im 4.776 * [taylor]: Taking taylor expansion of 0 in x.im 4.776 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (* x.re (pow x.im 2)))) in (x.re x.im) around 0 4.776 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (* x.re (pow x.im 2)))) in x.im 4.777 * [taylor]: Taking taylor expansion of -1 in x.im 4.777 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.re (pow x.im 2))) in x.im 4.777 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 4.777 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 4.777 * [taylor]: Taking taylor expansion of 3 in x.im 4.777 * [taylor]: Taking taylor expansion of (* x.re (pow x.im 2)) in x.im 4.777 * [taylor]: Taking taylor expansion of x.re in x.im 4.777 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.777 * [taylor]: Taking taylor expansion of x.im in x.im 4.777 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (* x.re (pow x.im 2)))) in x.re 4.777 * [taylor]: Taking taylor expansion of -1 in x.re 4.777 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.re (pow x.im 2))) in x.re 4.777 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 4.777 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 4.777 * [taylor]: Taking taylor expansion of 3 in x.re 4.777 * [taylor]: Taking taylor expansion of (* x.re (pow x.im 2)) in x.re 4.777 * [taylor]: Taking taylor expansion of x.re in x.re 4.777 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.777 * [taylor]: Taking taylor expansion of x.im in x.re 4.777 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (* x.re (pow x.im 2)))) in x.re 4.777 * [taylor]: Taking taylor expansion of -1 in x.re 4.777 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.re (pow x.im 2))) in x.re 4.777 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 4.777 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 4.777 * [taylor]: Taking taylor expansion of 3 in x.re 4.778 * [taylor]: Taking taylor expansion of (* x.re (pow x.im 2)) in x.re 4.778 * [taylor]: Taking taylor expansion of x.re in x.re 4.778 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.778 * [taylor]: Taking taylor expansion of x.im in x.re 4.778 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (pow x.im 2))) in x.im 4.778 * [taylor]: Taking taylor expansion of -1 in x.im 4.778 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow x.im 2)) in x.im 4.778 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 4.778 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 4.778 * [taylor]: Taking taylor expansion of 3 in x.im 4.778 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.778 * [taylor]: Taking taylor expansion of x.im in x.im 4.779 * [taylor]: Taking taylor expansion of 0 in x.im 4.780 * [taylor]: Taking taylor expansion of 0 in x.im 4.781 * [taylor]: Taking taylor expansion of 0 in x.im 4.782 * [taylor]: Taking taylor expansion of 0 in x.im 4.782 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 2) 4.783 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.re x.im) around 0 4.783 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 4.783 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.783 * [taylor]: Taking taylor expansion of x.im in x.im 4.783 * [taylor]: Taking taylor expansion of x.re in x.im 4.783 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 4.783 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.783 * [taylor]: Taking taylor expansion of x.im in x.re 4.783 * [taylor]: Taking taylor expansion of x.re in x.re 4.783 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 4.783 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.783 * [taylor]: Taking taylor expansion of x.im in x.re 4.783 * [taylor]: Taking taylor expansion of x.re in x.re 4.783 * [taylor]: Taking taylor expansion of 0 in x.im 4.783 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.783 * [taylor]: Taking taylor expansion of x.im in x.im 4.783 * [taylor]: Taking taylor expansion of 0 in x.im 4.783 * [taylor]: Taking taylor expansion of 0 in x.im 4.784 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 4.784 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 4.784 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 4.784 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.784 * [taylor]: Taking taylor expansion of x.im in x.im 4.784 * [taylor]: Taking taylor expansion of x.re in x.im 4.784 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 4.784 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 4.784 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.784 * [taylor]: Taking taylor expansion of x.im in x.re 4.784 * [taylor]: Taking taylor expansion of x.re in x.re 4.784 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 4.784 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 4.784 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.784 * [taylor]: Taking taylor expansion of x.im in x.re 4.784 * [taylor]: Taking taylor expansion of x.re in x.re 4.784 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 4.784 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.784 * [taylor]: Taking taylor expansion of x.im in x.im 4.785 * [taylor]: Taking taylor expansion of 0 in x.im 4.785 * [taylor]: Taking taylor expansion of 0 in x.im 4.786 * [taylor]: Taking taylor expansion of 0 in x.im 4.786 * [taylor]: Taking taylor expansion of 0 in x.im 4.786 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 4.787 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 4.787 * [taylor]: Taking taylor expansion of -1 in x.im 4.787 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 4.787 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.787 * [taylor]: Taking taylor expansion of x.im in x.im 4.787 * [taylor]: Taking taylor expansion of x.re in x.im 4.787 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 4.787 * [taylor]: Taking taylor expansion of -1 in x.re 4.787 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 4.787 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.787 * [taylor]: Taking taylor expansion of x.im in x.re 4.787 * [taylor]: Taking taylor expansion of x.re in x.re 4.787 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 4.787 * [taylor]: Taking taylor expansion of -1 in x.re 4.787 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 4.787 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.787 * [taylor]: Taking taylor expansion of x.im in x.re 4.787 * [taylor]: Taking taylor expansion of x.re in x.re 4.787 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 4.787 * [taylor]: Taking taylor expansion of -1 in x.im 4.787 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.787 * [taylor]: Taking taylor expansion of x.im in x.im 4.788 * [taylor]: Taking taylor expansion of 0 in x.im 4.788 * [taylor]: Taking taylor expansion of 0 in x.im 4.789 * [taylor]: Taking taylor expansion of 0 in x.im 4.789 * [taylor]: Taking taylor expansion of 0 in x.im 4.790 * * * [progress]: simplifying candidates 4.791 * [simplify]: Simplifying using # : (* (sqrt 3) (* (* x.re x.im) x.im)) (* (sqrt 3) (* (* x.re x.im) x.im)) (* (sqrt 3) (* (* x.re x.im) x.im)) (+ (log (sqrt 3)) (+ (+ (log x.re) (log x.im)) (log x.im))) (+ (log (sqrt 3)) (+ (log (* x.re x.im)) (log x.im))) (+ (log (sqrt 3)) (log (* (* x.re x.im) x.im))) (log (* (sqrt 3) (* (* x.re x.im) x.im))) (exp (* (sqrt 3) (* (* x.re x.im) x.im))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* x.im x.im) x.im))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* x.im x.im) x.im))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.re x.im) x.im) (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im))) (* (cbrt (* (sqrt 3) (* (* x.re x.im) x.im))) (cbrt (* (sqrt 3) (* (* x.re x.im) x.im)))) (cbrt (* (sqrt 3) (* (* x.re x.im) x.im))) (* (* (* (sqrt 3) (* (* x.re x.im) x.im)) (* (sqrt 3) (* (* x.re x.im) x.im))) (* (sqrt 3) (* (* x.re x.im) x.im))) (sqrt (* (sqrt 3) (* (* x.re x.im) x.im))) (sqrt (* (sqrt 3) (* (* x.re x.im) x.im))) (* (sqrt 3) (* x.re x.im)) (* (cbrt (sqrt 3)) (* (* x.re x.im) x.im)) (* (sqrt (cbrt 3)) (* (* x.re x.im) x.im)) (* (sqrt (sqrt 3)) (* (* x.re x.im) x.im)) (* (sqrt 3) (* (* x.re x.im) x.im)) (* (sqrt (sqrt 3)) (* (* x.re x.im) x.im)) (* (sqrt 3) (* (* x.re x.im) x.im)) (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im))) (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im))) (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im))) (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (+ (+ (log x.re) (log x.im)) (log x.im)))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (+ (log (* x.re x.im)) (log x.im)))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (log (* (* x.re x.im) x.im)))) (+ (log (sqrt 3)) (log (* (sqrt 3) (* (* x.re x.im) x.im)))) (log (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im)))) (exp (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im)))) (* (* (* (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.im x.im) x.im)))) (* (* (* (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.im x.im) x.im)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.re x.im) x.im) (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (* (* x.re x.im) x.im)) (* (sqrt 3) (* (* x.re x.im) x.im))) (* (sqrt 3) (* (* x.re x.im) x.im)))) (* (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im)))) (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im))))) (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im)))) (* (* (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im))) (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im)))) (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im)))) (* (sqrt 3) (sqrt 3)) (* (cbrt (sqrt 3)) (* (sqrt 3) (* (* x.re x.im) x.im))) (* (sqrt (cbrt 3)) (* (sqrt 3) (* (* x.re x.im) x.im))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* (* x.re x.im) x.im))) (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* (* x.re x.im) x.im))) (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im))) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) (+ (+ (log x.re) (log x.im)) (log x.im)) (+ (log (* x.re x.im)) (log x.im)) (log (* (* x.re x.im) x.im)) (exp (* (* x.re x.im) x.im)) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* x.im x.im) x.im)) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* x.im x.im) x.im)) (* (cbrt (* (* x.re x.im) x.im)) (cbrt (* (* x.re x.im) x.im))) (cbrt (* (* x.re x.im) x.im)) (* (* (* (* x.re x.im) x.im) (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im)) (sqrt (* (* x.re x.im) x.im)) (sqrt (* (* x.re x.im) x.im)) (* (* x.re x.im) (* (cbrt x.im) (cbrt x.im))) (* (* x.re x.im) (sqrt x.im)) (* (* x.re x.im) 1) (* x.im x.im) (* x.re (* (pow x.im 2) (sqrt 3))) (* x.re (* (pow x.im 2) (sqrt 3))) (* x.re (* (pow x.im 2) (sqrt 3))) (* x.re (* (pow x.im 2) (pow (sqrt 3) 2))) (* x.re (* (pow x.im 2) (pow (sqrt 3) 2))) (* x.re (* (pow x.im 2) (pow (sqrt 3) 2))) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) 4.794 * * [simplify]: iteration 0 : 87 enodes (cost 931 ) 4.808 * * [simplify]: iteration 1 : 248 enodes (cost 769 ) 4.876 * * [simplify]: iteration 2 : 1118 enodes (cost 605 ) 5.309 * * [simplify]: iteration done : 5001 enodes (cost 605 ) 5.310 * [simplify]: Simplified to: (* x.re (* (pow x.im 2) (sqrt 3))) (* x.re (* (pow x.im 2) (sqrt 3))) (* x.re (* (pow x.im 2) (sqrt 3))) (log (* x.re (* (pow x.im 2) (sqrt 3)))) (log (* x.re (* (pow x.im 2) (sqrt 3)))) (log (* x.re (* (pow x.im 2) (sqrt 3)))) (log (* x.re (* (pow x.im 2) (sqrt 3)))) (exp (* (sqrt 3) (* (* x.re x.im) x.im))) (pow (* x.re (* (pow x.im 2) (sqrt 3))) 3) (pow (* x.re (* (pow x.im 2) (sqrt 3))) 3) (pow (* x.re (* (pow x.im 2) (sqrt 3))) 3) (* (cbrt (* (sqrt 3) (* (* x.re x.im) x.im))) (cbrt (* (sqrt 3) (* (* x.re x.im) x.im)))) (cbrt (* (sqrt 3) (* (* x.re x.im) x.im))) (pow (* x.re (* (pow x.im 2) (sqrt 3))) 3) (sqrt (* (sqrt 3) (* (* x.re x.im) x.im))) (sqrt (* (sqrt 3) (* (* x.re x.im) x.im))) (* (sqrt 3) (* x.re x.im)) (* (cbrt (sqrt 3)) (* (* x.re x.im) x.im)) (* (sqrt (cbrt 3)) (* (* x.re x.im) x.im)) (* (sqrt (sqrt 3)) (* (* x.re x.im) x.im)) (* x.re (* (pow x.im 2) (sqrt 3))) (* (sqrt (sqrt 3)) (* (* x.re x.im) x.im)) (* x.re (* (pow x.im 2) (sqrt 3))) (* (* (* x.re x.im) x.im) 3) (* (* (* x.re x.im) x.im) 3) (* (* (* x.re x.im) x.im) 3) (* (* (* x.re x.im) x.im) 3) (log (* 3 (* (* x.re x.im) x.im))) (log (* 3 (* (* x.re x.im) x.im))) (log (* 3 (* (* x.re x.im) x.im))) (log (* 3 (* (* x.re x.im) x.im))) (log (* 3 (* (* x.re x.im) x.im))) (exp (* 3 (* (* x.re x.im) x.im))) (pow (* (* (* x.re x.im) x.im) 3) 3) (pow (* (* (* x.re x.im) x.im) 3) 3) (pow (* (* (* x.re x.im) x.im) 3) 3) (pow (* (* (* x.re x.im) x.im) 3) 3) (* (cbrt (* 3 (* (* x.re x.im) x.im))) (cbrt (* 3 (* (* x.re x.im) x.im)))) (cbrt (* 3 (* (* x.re x.im) x.im))) (pow (* (* (* x.re x.im) x.im) 3) 3) (sqrt (* 3 (* (* x.re x.im) x.im))) (sqrt (* 3 (* (* x.re x.im) x.im))) 3 (* (cbrt (sqrt 3)) (* (sqrt 3) (* (* x.re x.im) x.im))) (* (sqrt (cbrt 3)) (* (sqrt 3) (* (* x.re x.im) x.im))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* (* x.re x.im) x.im))) (* (* (* x.re x.im) x.im) 3) (* (sqrt (sqrt 3)) (* (sqrt 3) (* (* x.re x.im) x.im))) (* (* (* x.re x.im) x.im) 3) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) (log (* (* x.re x.im) x.im)) (log (* (* x.re x.im) x.im)) (log (* (* x.re x.im) x.im)) (exp (* (* x.re x.im) x.im)) (pow (* (* x.re x.im) x.im) 3) (pow (* (* x.re x.im) x.im) 3) (* (cbrt (* (* x.re x.im) x.im)) (cbrt (* (* x.re x.im) x.im))) (cbrt (* (* x.re x.im) x.im)) (pow (* (* x.re x.im) x.im) 3) (sqrt (* (* x.re x.im) x.im)) (sqrt (* (* x.re x.im) x.im)) (* (* x.re x.im) (* (cbrt x.im) (cbrt x.im))) (* (* x.re x.im) (sqrt x.im)) (* x.re x.im) (* x.im x.im) (* x.re (* (pow x.im 2) (sqrt 3))) (* x.re (* (pow x.im 2) (sqrt 3))) (* x.re (* (pow x.im 2) (sqrt 3))) (* (* (* x.re x.im) x.im) 3) (* (* (* x.re x.im) x.im) 3) (* (* (* x.re x.im) x.im) 3) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) 5.310 * * * [progress]: adding candidates to table 5.406 * [progress]: [Phase 3 of 3] Extracting. 5.406 * * [regime]: Finding splitpoints for: (# # # # # # # #) 5.407 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 5.407 * * * * [regimes]: Trying to branch on x.im from (# # # # # # # #) 5.461 * * * * [regimes]: Trying to branch on x.re from (# # # # # # # #) 5.513 * * * [regime]: Found split indices: #