3.554 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.029 * * [simplify]: iteration 0 : 11 enodes (cost 19 ) 0.030 * * [simplify]: iteration 1 : 21 enodes (cost 19 ) 0.034 * * [simplify]: iteration 2 : 54 enodes (cost 17 ) 0.047 * * [simplify]: iteration 3 : 136 enodes (cost 17 ) 0.075 * * [simplify]: iteration 4 : 326 enodes (cost 14 ) 0.167 * * [simplify]: iteration 5 : 695 enodes (cost 11 ) 0.430 * * [simplify]: iteration 6 : 1733 enodes (cost 11 ) 1.150 * * [simplify]: iteration done : 5000 enodes (cost 11 ) 1.150 * [simplify]: Simplified to: (- (pow x.re 3) (* 3 (* (* x.re x.im) x.im))) 1.153 * * [progress]: iteration 1 / 4 1.153 * * * [progress]: picking best candidate 1.156 * * * * [pick]: Picked # 1.156 * * * [progress]: localizing error 1.163 * * * [progress]: generating rewritten candidates 1.163 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.181 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 1.189 * * * [progress]: generating series expansions 1.190 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.190 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 1.190 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 1.190 * [taylor]: Taking taylor expansion of 3 in x.im 1.190 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.190 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.190 * [taylor]: Taking taylor expansion of x.im in x.im 1.190 * [taylor]: Taking taylor expansion of x.re in x.im 1.190 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 1.190 * [taylor]: Taking taylor expansion of 3 in x.re 1.190 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.190 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.190 * [taylor]: Taking taylor expansion of x.im in x.re 1.190 * [taylor]: Taking taylor expansion of x.re in x.re 1.190 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 1.190 * [taylor]: Taking taylor expansion of 3 in x.re 1.190 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.190 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.190 * [taylor]: Taking taylor expansion of x.im in x.re 1.190 * [taylor]: Taking taylor expansion of x.re in x.re 1.191 * [taylor]: Taking taylor expansion of 0 in x.im 1.191 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 1.191 * [taylor]: Taking taylor expansion of 3 in x.im 1.191 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.191 * [taylor]: Taking taylor expansion of x.im in x.im 1.194 * [taylor]: Taking taylor expansion of 0 in x.im 1.196 * [taylor]: Taking taylor expansion of 0 in x.im 1.197 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 1.197 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 1.197 * [taylor]: Taking taylor expansion of 3 in x.im 1.197 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.197 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.197 * [taylor]: Taking taylor expansion of x.im in x.im 1.197 * [taylor]: Taking taylor expansion of x.re in x.im 1.197 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 1.197 * [taylor]: Taking taylor expansion of 3 in x.re 1.197 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.197 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.197 * [taylor]: Taking taylor expansion of x.im in x.re 1.197 * [taylor]: Taking taylor expansion of x.re in x.re 1.198 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 1.198 * [taylor]: Taking taylor expansion of 3 in x.re 1.198 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.198 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.198 * [taylor]: Taking taylor expansion of x.im in x.re 1.198 * [taylor]: Taking taylor expansion of x.re in x.re 1.198 * [taylor]: Taking taylor expansion of (/ 3 (pow x.im 2)) in x.im 1.198 * [taylor]: Taking taylor expansion of 3 in x.im 1.198 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.198 * [taylor]: Taking taylor expansion of x.im in x.im 1.200 * [taylor]: Taking taylor expansion of 0 in x.im 1.203 * [taylor]: Taking taylor expansion of 0 in x.im 1.205 * [taylor]: Taking taylor expansion of 0 in x.im 1.208 * [taylor]: Taking taylor expansion of 0 in x.im 1.209 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 1.209 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 1.209 * [taylor]: Taking taylor expansion of -3 in x.im 1.209 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.209 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.209 * [taylor]: Taking taylor expansion of x.im in x.im 1.209 * [taylor]: Taking taylor expansion of x.re in x.im 1.209 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 1.209 * [taylor]: Taking taylor expansion of -3 in x.re 1.209 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.209 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.210 * [taylor]: Taking taylor expansion of x.im in x.re 1.210 * [taylor]: Taking taylor expansion of x.re in x.re 1.210 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 1.210 * [taylor]: Taking taylor expansion of -3 in x.re 1.210 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.210 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.210 * [taylor]: Taking taylor expansion of x.im in x.re 1.210 * [taylor]: Taking taylor expansion of x.re in x.re 1.211 * [taylor]: Taking taylor expansion of (/ -3 (pow x.im 2)) in x.im 1.211 * [taylor]: Taking taylor expansion of -3 in x.im 1.211 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.211 * [taylor]: Taking taylor expansion of x.im in x.im 1.212 * [taylor]: Taking taylor expansion of 0 in x.im 1.215 * [taylor]: Taking taylor expansion of 0 in x.im 1.220 * [taylor]: Taking taylor expansion of 0 in x.im 1.224 * [taylor]: Taking taylor expansion of 0 in x.im 1.224 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 1.224 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.re x.im) around 0 1.224 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.224 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.224 * [taylor]: Taking taylor expansion of x.im in x.im 1.224 * [taylor]: Taking taylor expansion of x.re in x.im 1.224 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.224 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.224 * [taylor]: Taking taylor expansion of x.im in x.re 1.224 * [taylor]: Taking taylor expansion of x.re in x.re 1.224 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.224 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.224 * [taylor]: Taking taylor expansion of x.im in x.re 1.224 * [taylor]: Taking taylor expansion of x.re in x.re 1.224 * [taylor]: Taking taylor expansion of 0 in x.im 1.225 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.225 * [taylor]: Taking taylor expansion of x.im in x.im 1.226 * [taylor]: Taking taylor expansion of 0 in x.im 1.227 * [taylor]: Taking taylor expansion of 0 in x.im 1.227 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 1.227 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 1.227 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.227 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.227 * [taylor]: Taking taylor expansion of x.im in x.im 1.227 * [taylor]: Taking taylor expansion of x.re in x.im 1.228 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 1.228 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.228 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.228 * [taylor]: Taking taylor expansion of x.im in x.re 1.228 * [taylor]: Taking taylor expansion of x.re in x.re 1.228 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 1.228 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.228 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.228 * [taylor]: Taking taylor expansion of x.im in x.re 1.228 * [taylor]: Taking taylor expansion of x.re in x.re 1.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.229 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.229 * [taylor]: Taking taylor expansion of x.im in x.im 1.230 * [taylor]: Taking taylor expansion of 0 in x.im 1.232 * [taylor]: Taking taylor expansion of 0 in x.im 1.235 * [taylor]: Taking taylor expansion of 0 in x.im 1.238 * [taylor]: Taking taylor expansion of 0 in x.im 1.239 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 1.239 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 1.239 * [taylor]: Taking taylor expansion of -1 in x.im 1.239 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.239 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.239 * [taylor]: Taking taylor expansion of x.im in x.im 1.239 * [taylor]: Taking taylor expansion of x.re in x.im 1.239 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 1.239 * [taylor]: Taking taylor expansion of -1 in x.re 1.239 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.239 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.239 * [taylor]: Taking taylor expansion of x.im in x.re 1.239 * [taylor]: Taking taylor expansion of x.re in x.re 1.240 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 1.240 * [taylor]: Taking taylor expansion of -1 in x.re 1.240 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.240 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.240 * [taylor]: Taking taylor expansion of x.im in x.re 1.240 * [taylor]: Taking taylor expansion of x.re in x.re 1.240 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 1.240 * [taylor]: Taking taylor expansion of -1 in x.im 1.240 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.240 * [taylor]: Taking taylor expansion of x.im in x.im 1.242 * [taylor]: Taking taylor expansion of 0 in x.im 1.244 * [taylor]: Taking taylor expansion of 0 in x.im 1.247 * [taylor]: Taking taylor expansion of 0 in x.im 1.250 * [taylor]: Taking taylor expansion of 0 in x.im 1.250 * * * [progress]: simplifying candidates 1.251 * [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) 1.253 * * [simplify]: iteration 0 : 60 enodes (cost 406 ) 1.265 * * [simplify]: iteration 1 : 170 enodes (cost 381 ) 1.314 * * [simplify]: iteration 2 : 775 enodes (cost 309 ) 1.747 * * [simplify]: iteration 3 : 4558 enodes (cost 309 ) 6.408 * * [simplify]: iteration done : 5000 enodes (cost 309 ) 6.409 * [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))) (* (pow (* (pow x.im 2) x.re) 3) 27) (* (pow (* (pow x.im 2) x.re) 3) 27) (* (pow (* (pow x.im 2) x.re) 3) 27) (* (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 (* (pow x.im 2) x.re) 3) 27) (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.im (* x.re x.im)) (* x.im (* x.re 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 (* (pow x.im 2) x.re) 3) (pow (* (pow x.im 2) x.re) 3) (* (cbrt (* (* x.re x.im) x.im)) (cbrt (* (* x.re x.im) x.im))) (cbrt (* (* x.re x.im) x.im)) (pow (* (pow x.im 2) x.re) 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.im x.re) (* 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.im (* x.re x.im)) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) 6.409 * * * [progress]: adding candidates to table 6.494 * * [progress]: iteration 2 / 4 6.494 * * * [progress]: picking best candidate 6.506 * * * * [pick]: Picked # 6.507 * * * [progress]: localizing error 6.516 * * * [progress]: generating rewritten candidates 6.516 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 6.523 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2 1) 6.530 * * * [progress]: generating series expansions 6.530 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 6.530 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 6.530 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 6.530 * [taylor]: Taking taylor expansion of 3 in x.re 6.530 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 6.530 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 6.530 * [taylor]: Taking taylor expansion of x.im in x.re 6.530 * [taylor]: Taking taylor expansion of x.re in x.re 6.530 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 6.530 * [taylor]: Taking taylor expansion of 3 in x.im 6.530 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.530 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.530 * [taylor]: Taking taylor expansion of x.im in x.im 6.530 * [taylor]: Taking taylor expansion of x.re in x.im 6.530 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 6.531 * [taylor]: Taking taylor expansion of 3 in x.im 6.531 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.531 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.531 * [taylor]: Taking taylor expansion of x.im in x.im 6.531 * [taylor]: Taking taylor expansion of x.re in x.im 6.531 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 6.531 * [taylor]: Taking taylor expansion of 3 in x.re 6.531 * [taylor]: Taking taylor expansion of x.re in x.re 6.533 * [taylor]: Taking taylor expansion of 0 in x.re 6.535 * [taylor]: Taking taylor expansion of 0 in x.re 6.537 * [taylor]: Taking taylor expansion of 0 in x.re 6.538 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 6.538 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 6.538 * [taylor]: Taking taylor expansion of 3 in x.re 6.538 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 6.538 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 6.538 * [taylor]: Taking taylor expansion of x.im in x.re 6.538 * [taylor]: Taking taylor expansion of x.re in x.re 6.539 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 6.539 * [taylor]: Taking taylor expansion of 3 in x.im 6.539 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.539 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.539 * [taylor]: Taking taylor expansion of x.im in x.im 6.539 * [taylor]: Taking taylor expansion of x.re in x.im 6.539 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 6.539 * [taylor]: Taking taylor expansion of 3 in x.im 6.539 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.539 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.539 * [taylor]: Taking taylor expansion of x.im in x.im 6.539 * [taylor]: Taking taylor expansion of x.re in x.im 6.540 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 6.540 * [taylor]: Taking taylor expansion of 3 in x.re 6.540 * [taylor]: Taking taylor expansion of x.re in x.re 6.541 * [taylor]: Taking taylor expansion of 0 in x.re 6.542 * [taylor]: Taking taylor expansion of 0 in x.re 6.544 * [taylor]: Taking taylor expansion of 0 in x.re 6.545 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 6.545 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 6.545 * [taylor]: Taking taylor expansion of -3 in x.re 6.546 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 6.546 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 6.546 * [taylor]: Taking taylor expansion of x.im in x.re 6.546 * [taylor]: Taking taylor expansion of x.re in x.re 6.546 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 6.546 * [taylor]: Taking taylor expansion of -3 in x.im 6.546 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.546 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.546 * [taylor]: Taking taylor expansion of x.im in x.im 6.546 * [taylor]: Taking taylor expansion of x.re in x.im 6.547 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 6.547 * [taylor]: Taking taylor expansion of -3 in x.im 6.547 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.547 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.547 * [taylor]: Taking taylor expansion of x.im in x.im 6.547 * [taylor]: Taking taylor expansion of x.re in x.im 6.547 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 6.547 * [taylor]: Taking taylor expansion of -3 in x.re 6.547 * [taylor]: Taking taylor expansion of x.re in x.re 6.548 * [taylor]: Taking taylor expansion of 0 in x.re 6.550 * [taylor]: Taking taylor expansion of 0 in x.re 6.552 * [taylor]: Taking taylor expansion of 0 in x.re 6.553 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2 1) 6.553 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.im x.re) around 0 6.553 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 6.553 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 6.553 * [taylor]: Taking taylor expansion of x.im in x.re 6.553 * [taylor]: Taking taylor expansion of x.re in x.re 6.553 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.553 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.553 * [taylor]: Taking taylor expansion of x.im in x.im 6.553 * [taylor]: Taking taylor expansion of x.re in x.im 6.553 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.553 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.553 * [taylor]: Taking taylor expansion of x.im in x.im 6.553 * [taylor]: Taking taylor expansion of x.re in x.im 6.553 * [taylor]: Taking taylor expansion of x.re in x.re 6.554 * [taylor]: Taking taylor expansion of 0 in x.re 6.555 * [taylor]: Taking taylor expansion of 0 in x.re 6.557 * [taylor]: Taking taylor expansion of 0 in x.re 6.557 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 6.557 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 6.557 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 6.557 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 6.557 * [taylor]: Taking taylor expansion of x.im in x.re 6.557 * [taylor]: Taking taylor expansion of x.re in x.re 6.558 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 6.558 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.558 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.558 * [taylor]: Taking taylor expansion of x.im in x.im 6.558 * [taylor]: Taking taylor expansion of x.re in x.im 6.558 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 6.558 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.558 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.558 * [taylor]: Taking taylor expansion of x.im in x.im 6.558 * [taylor]: Taking taylor expansion of x.re in x.im 6.559 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 6.559 * [taylor]: Taking taylor expansion of x.re in x.re 6.560 * [taylor]: Taking taylor expansion of 0 in x.re 6.561 * [taylor]: Taking taylor expansion of 0 in x.re 6.563 * [taylor]: Taking taylor expansion of 0 in x.re 6.564 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 6.564 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 6.564 * [taylor]: Taking taylor expansion of -1 in x.re 6.564 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 6.564 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 6.564 * [taylor]: Taking taylor expansion of x.im in x.re 6.564 * [taylor]: Taking taylor expansion of x.re in x.re 6.565 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 6.565 * [taylor]: Taking taylor expansion of -1 in x.im 6.565 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.565 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.565 * [taylor]: Taking taylor expansion of x.im in x.im 6.565 * [taylor]: Taking taylor expansion of x.re in x.im 6.565 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 6.565 * [taylor]: Taking taylor expansion of -1 in x.im 6.565 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.565 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.566 * [taylor]: Taking taylor expansion of x.im in x.im 6.566 * [taylor]: Taking taylor expansion of x.re in x.im 6.566 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 6.566 * [taylor]: Taking taylor expansion of -1 in x.re 6.566 * [taylor]: Taking taylor expansion of x.re in x.re 6.567 * [taylor]: Taking taylor expansion of 0 in x.re 6.569 * [taylor]: Taking taylor expansion of 0 in x.re 6.571 * [taylor]: Taking taylor expansion of 0 in x.re 6.572 * * * [progress]: simplifying candidates 6.572 * [simplify]: Simplifying using # : (* 3 (* x.im (* x.re x.im))) (+ (log 3) (* (+ (log x.im) (+ (log x.re) (log x.im))) 1)) (+ (log 3) (* (+ (log x.im) (log (* x.re x.im))) 1)) (+ (log 3) (* (log (* x.im (* x.re x.im))) 1)) (+ (log 3) (* (log (* x.im (* x.re x.im))) 1)) (+ (log 3) (log (pow (* x.im (* x.re x.im)) 1))) (log (* 3 (pow (* x.im (* x.re x.im)) 1))) (exp (* 3 (pow (* x.im (* x.re x.im)) 1))) (* (* (* 3 3) 3) (* (* (pow (* x.im (* x.re x.im)) 1) (pow (* x.im (* x.re x.im)) 1)) (pow (* x.im (* x.re x.im)) 1))) (* (cbrt (* 3 (pow (* x.im (* x.re x.im)) 1))) (cbrt (* 3 (pow (* x.im (* x.re x.im)) 1)))) (cbrt (* 3 (pow (* x.im (* x.re x.im)) 1))) (* (* (* 3 (pow (* x.im (* x.re x.im)) 1)) (* 3 (pow (* x.im (* x.re x.im)) 1))) (* 3 (pow (* x.im (* x.re x.im)) 1))) (sqrt (* 3 (pow (* x.im (* x.re x.im)) 1))) (sqrt (* 3 (pow (* x.im (* x.re x.im)) 1))) (* (sqrt 3) (sqrt (pow (* x.im (* x.re x.im)) 1))) (* (sqrt 3) (sqrt (pow (* x.im (* x.re x.im)) 1))) (* (sqrt 3) (pow (* x.im (* x.re x.im)) (/ 1 2))) (* (sqrt 3) (pow (* x.im (* x.re x.im)) (/ 1 2))) (* 3 (pow x.im 1)) (* 3 (* (cbrt (pow (* x.im (* x.re x.im)) 1)) (cbrt (pow (* x.im (* x.re x.im)) 1)))) (* 3 (sqrt (pow (* x.im (* x.re x.im)) 1))) (* 3 1) (* 3 (pow (* x.im (* x.re x.im)) (/ 1 2))) (* (cbrt 3) (pow (* x.im (* x.re x.im)) 1)) (* (sqrt 3) (pow (* x.im (* x.re x.im)) 1)) (* 3 (pow (* x.im (* x.re x.im)) 1)) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) (+ (log x.im) (+ (log x.re) (log x.im))) (+ (log x.im) (log (* x.re x.im))) (log (* x.im (* x.re x.im))) (exp (* x.im (* x.re x.im))) (* (* (* x.im 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))) (* (cbrt (* x.im (* x.re x.im))) (cbrt (* x.im (* x.re x.im)))) (cbrt (* x.im (* x.re x.im))) (* (* (* x.im (* x.re x.im)) (* x.im (* x.re x.im))) (* x.im (* x.re x.im))) (sqrt (* x.im (* x.re x.im))) (sqrt (* x.im (* x.re x.im))) (* x.im x.re) (* (cbrt x.im) (* x.re x.im)) (* (sqrt x.im) (* x.re x.im)) (* x.im (* 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)) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) 6.575 * * [simplify]: iteration 0 : 78 enodes (cost 492 ) 6.595 * * [simplify]: iteration 1 : 187 enodes (cost 401 ) 6.656 * * [simplify]: iteration 2 : 794 enodes (cost 358 ) 7.114 * * [simplify]: iteration 3 : 4388 enodes (cost 357 ) 10.488 * * [simplify]: iteration done : 5000 enodes (cost 357 ) 10.488 * [simplify]: Simplified to: (* 3 (* (pow x.im 2) x.re)) (log (* 3 (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (exp (* 3 (* x.im (* x.re x.im)))) (* (pow (* x.im (* x.re x.im)) 3) 27) (* (cbrt (* 3 (* x.im (* x.re x.im)))) (cbrt (* 3 (* x.im (* x.re x.im))))) (cbrt (* 3 (* x.im (* x.re x.im)))) (* (pow (* x.im (* x.re x.im)) 3) 27) (sqrt (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (* (sqrt 3) (sqrt (* x.im (* x.re x.im)))) (* (sqrt 3) (sqrt (* x.im (* x.re x.im)))) (* (sqrt 3) (sqrt (* x.im (* x.re x.im)))) (* (sqrt 3) (sqrt (* x.im (* x.re x.im)))) (* x.im 3) (* (* (cbrt (* x.im (* x.re x.im))) (cbrt (* x.im (* x.re x.im)))) 3) (* 3 (sqrt (* x.im (* x.re x.im)))) 3 (* 3 (sqrt (* x.im (* x.re x.im)))) (* (cbrt 3) (* x.im (* x.re x.im))) (* (* x.im (* x.re x.im)) (sqrt 3)) (* 3 (* (pow x.im 2) x.re)) (* (* x.im x.re) x.im) (* (* x.im x.re) x.im) (log (* x.im (* x.re x.im))) (log (* x.im (* x.re x.im))) (log (* x.im (* x.re x.im))) (exp (* x.im (* x.re x.im))) (pow (* (pow x.im 2) x.re) 3) (pow (* (pow x.im 2) x.re) 3) (* (cbrt (* x.im (* x.re x.im))) (cbrt (* x.im (* x.re x.im)))) (cbrt (* x.im (* x.re x.im))) (pow (* (pow x.im 2) x.re) 3) (sqrt (* x.im (* x.re x.im))) (sqrt (* x.im (* x.re x.im))) (* x.im x.re) (* (cbrt x.im) (* x.re x.im)) (* x.re (pow x.im 3/2)) (* (* x.im 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)) (* (* x.im x.re) x.im) (* (* x.im x.re) x.im) (* (* x.im x.re) x.im) 10.489 * * * [progress]: adding candidates to table 10.597 * * [progress]: iteration 3 / 4 10.598 * * * [progress]: picking best candidate 10.611 * * * * [pick]: Picked # 10.611 * * * [progress]: localizing error 10.621 * * * [progress]: generating rewritten candidates 10.621 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 10.632 * * * [progress]: generating series expansions 10.632 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 10.632 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 10.632 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 10.632 * [taylor]: Taking taylor expansion of 3 in x.re 10.632 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 10.632 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 10.632 * [taylor]: Taking taylor expansion of x.im in x.re 10.632 * [taylor]: Taking taylor expansion of x.re in x.re 10.632 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 10.632 * [taylor]: Taking taylor expansion of 3 in x.im 10.632 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 10.632 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 10.632 * [taylor]: Taking taylor expansion of x.im in x.im 10.632 * [taylor]: Taking taylor expansion of x.re in x.im 10.632 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 10.632 * [taylor]: Taking taylor expansion of 3 in x.im 10.632 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 10.632 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 10.632 * [taylor]: Taking taylor expansion of x.im in x.im 10.632 * [taylor]: Taking taylor expansion of x.re in x.im 10.633 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 10.633 * [taylor]: Taking taylor expansion of 3 in x.re 10.633 * [taylor]: Taking taylor expansion of x.re in x.re 10.635 * [taylor]: Taking taylor expansion of 0 in x.re 10.637 * [taylor]: Taking taylor expansion of 0 in x.re 10.640 * [taylor]: Taking taylor expansion of 0 in x.re 10.640 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 10.640 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 10.640 * [taylor]: Taking taylor expansion of 3 in x.re 10.640 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 10.640 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 10.640 * [taylor]: Taking taylor expansion of x.im in x.re 10.640 * [taylor]: Taking taylor expansion of x.re in x.re 10.641 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 10.641 * [taylor]: Taking taylor expansion of 3 in x.im 10.641 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 10.641 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 10.641 * [taylor]: Taking taylor expansion of x.im in x.im 10.641 * [taylor]: Taking taylor expansion of x.re in x.im 10.641 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 10.641 * [taylor]: Taking taylor expansion of 3 in x.im 10.642 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 10.642 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 10.642 * [taylor]: Taking taylor expansion of x.im in x.im 10.642 * [taylor]: Taking taylor expansion of x.re in x.im 10.642 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 10.642 * [taylor]: Taking taylor expansion of 3 in x.re 10.642 * [taylor]: Taking taylor expansion of x.re in x.re 10.643 * [taylor]: Taking taylor expansion of 0 in x.re 10.645 * [taylor]: Taking taylor expansion of 0 in x.re 10.647 * [taylor]: Taking taylor expansion of 0 in x.re 10.648 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 10.648 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 10.648 * [taylor]: Taking taylor expansion of -3 in x.re 10.649 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 10.649 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 10.649 * [taylor]: Taking taylor expansion of x.im in x.re 10.649 * [taylor]: Taking taylor expansion of x.re in x.re 10.649 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 10.649 * [taylor]: Taking taylor expansion of -3 in x.im 10.649 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 10.649 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 10.649 * [taylor]: Taking taylor expansion of x.im in x.im 10.649 * [taylor]: Taking taylor expansion of x.re in x.im 10.650 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 10.650 * [taylor]: Taking taylor expansion of -3 in x.im 10.650 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 10.650 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 10.650 * [taylor]: Taking taylor expansion of x.im in x.im 10.650 * [taylor]: Taking taylor expansion of x.re in x.im 10.650 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 10.650 * [taylor]: Taking taylor expansion of -3 in x.re 10.650 * [taylor]: Taking taylor expansion of x.re in x.re 10.651 * [taylor]: Taking taylor expansion of 0 in x.re 10.653 * [taylor]: Taking taylor expansion of 0 in x.re 10.655 * [taylor]: Taking taylor expansion of 0 in x.re 10.656 * * * [progress]: simplifying candidates 10.656 * [simplify]: Simplifying using # : (* (* x.im 3) (* x.re x.im)) (* (* x.im 3) (* x.re x.im)) (+ (+ (log x.im) (log 3)) (* (+ (log x.re) (log x.im)) 1)) (+ (+ (log x.im) (log 3)) (* (log (* x.re x.im)) 1)) (+ (+ (log x.im) (log 3)) (* (log (* x.re x.im)) 1)) (+ (+ (log x.im) (log 3)) (log (pow (* x.re x.im) 1))) (+ (log (* x.im 3)) (* (+ (log x.re) (log x.im)) 1)) (+ (log (* x.im 3)) (* (log (* x.re x.im)) 1)) (+ (log (* x.im 3)) (* (log (* x.re x.im)) 1)) (+ (log (* x.im 3)) (log (pow (* x.re x.im) 1))) (log (* (* x.im 3) (pow (* x.re x.im) 1))) (exp (* (* x.im 3) (pow (* x.re x.im) 1))) (* (* (* (* x.im x.im) x.im) (* (* 3 3) 3)) (* (* (pow (* x.re x.im) 1) (pow (* x.re x.im) 1)) (pow (* x.re x.im) 1))) (* (* (* (* x.im 3) (* x.im 3)) (* x.im 3)) (* (* (pow (* x.re x.im) 1) (pow (* x.re x.im) 1)) (pow (* x.re x.im) 1))) (* (cbrt (* (* x.im 3) (pow (* x.re x.im) 1))) (cbrt (* (* x.im 3) (pow (* x.re x.im) 1)))) (cbrt (* (* x.im 3) (pow (* x.re x.im) 1))) (* (* (* (* x.im 3) (pow (* x.re x.im) 1)) (* (* x.im 3) (pow (* x.re x.im) 1))) (* (* x.im 3) (pow (* x.re x.im) 1))) (sqrt (* (* x.im 3) (pow (* x.re x.im) 1))) (sqrt (* (* x.im 3) (pow (* x.re x.im) 1))) (* (* x.im 3) (pow x.re 1)) (* (* x.im 3) (* (cbrt (pow (* x.re x.im) 1)) (cbrt (pow (* x.re x.im) 1)))) (* (* x.im 3) (sqrt (pow (* x.re x.im) 1))) (* (* x.im 3) 1) (* (* x.im 3) (pow (* x.re x.im) (/ 1 2))) (* 3 (pow (* x.re x.im) 1)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) 10.658 * * [simplify]: iteration 0 : 59 enodes (cost 344 ) 10.671 * * [simplify]: iteration 1 : 164 enodes (cost 254 ) 10.724 * * [simplify]: iteration 2 : 761 enodes (cost 225 ) 11.187 * * [simplify]: iteration 3 : 4748 enodes (cost 225 ) 15.659 * * [simplify]: iteration done : 5000 enodes (cost 225 ) 15.659 * [simplify]: Simplified to: (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (log (* (* x.im 3) (* x.re x.im))) (log (* (* x.im 3) (* x.re x.im))) (log (* (* x.im 3) (* x.re x.im))) (log (* (* x.im 3) (* x.re x.im))) (log (* (* x.im 3) (* x.re x.im))) (log (* (* x.im 3) (* x.re x.im))) (log (* (* x.im 3) (* x.re x.im))) (log (* (* x.im 3) (* x.re x.im))) (log (* (* x.im 3) (* x.re x.im))) (exp (* (* x.im 3) (* x.re x.im))) (pow (* (* x.re x.im) (* x.im 3)) 3) (pow (* (* x.re x.im) (* x.im 3)) 3) (* (cbrt (* (* x.im 3) (* x.re x.im))) (cbrt (* (* x.im 3) (* x.re x.im)))) (cbrt (* (* x.im 3) (* x.re x.im))) (pow (* (* x.re x.im) (* x.im 3)) 3) (sqrt (* (* x.im 3) (* x.re x.im))) (sqrt (* (* x.im 3) (* x.re x.im))) (* (* x.im 3) x.re) (* (* (* x.im 3) (cbrt (* x.re x.im))) (cbrt (* x.re x.im))) (* x.im (* 3 (sqrt (* x.re x.im)))) (* x.im 3) (* x.im (* 3 (sqrt (* x.re x.im)))) (* (* x.im 3) x.re) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) 15.661 * * * [progress]: adding candidates to table 15.715 * * [progress]: iteration 4 / 4 15.715 * * * [progress]: picking best candidate 15.722 * * * * [pick]: Picked # 15.722 * * * [progress]: localizing error 15.729 * * * [progress]: generating rewritten candidates 15.729 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 15.735 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 15.755 * * * [progress]: generating series expansions 15.755 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 15.755 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.re x.im) around 0 15.755 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 15.755 * [taylor]: Taking taylor expansion of 3 in x.im 15.755 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 15.755 * [taylor]: Taking taylor expansion of x.im in x.im 15.755 * [taylor]: Taking taylor expansion of x.re in x.im 15.755 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 15.755 * [taylor]: Taking taylor expansion of 3 in x.re 15.755 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 15.755 * [taylor]: Taking taylor expansion of x.im in x.re 15.755 * [taylor]: Taking taylor expansion of x.re in x.re 15.755 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 15.755 * [taylor]: Taking taylor expansion of 3 in x.re 15.755 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 15.755 * [taylor]: Taking taylor expansion of x.im in x.re 15.755 * [taylor]: Taking taylor expansion of x.re in x.re 15.756 * [taylor]: Taking taylor expansion of 0 in x.im 15.756 * [taylor]: Taking taylor expansion of (* 3 x.im) in x.im 15.756 * [taylor]: Taking taylor expansion of 3 in x.im 15.756 * [taylor]: Taking taylor expansion of x.im in x.im 15.758 * [taylor]: Taking taylor expansion of 0 in x.im 15.759 * [taylor]: Taking taylor expansion of 0 in x.im 15.761 * [taylor]: Taking taylor expansion of 0 in x.im 15.762 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.re x.im) around 0 15.762 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 15.762 * [taylor]: Taking taylor expansion of 3 in x.im 15.762 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 15.762 * [taylor]: Taking taylor expansion of x.im in x.im 15.762 * [taylor]: Taking taylor expansion of x.re in x.im 15.762 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 15.762 * [taylor]: Taking taylor expansion of 3 in x.re 15.762 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 15.762 * [taylor]: Taking taylor expansion of x.im in x.re 15.762 * [taylor]: Taking taylor expansion of x.re in x.re 15.975 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 15.975 * [taylor]: Taking taylor expansion of 3 in x.re 15.975 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 15.975 * [taylor]: Taking taylor expansion of x.im in x.re 15.975 * [taylor]: Taking taylor expansion of x.re in x.re 15.976 * [taylor]: Taking taylor expansion of (/ 3 x.im) in x.im 15.976 * [taylor]: Taking taylor expansion of 3 in x.im 15.976 * [taylor]: Taking taylor expansion of x.im in x.im 15.977 * [taylor]: Taking taylor expansion of 0 in x.im 15.978 * [taylor]: Taking taylor expansion of 0 in x.im 15.980 * [taylor]: Taking taylor expansion of 0 in x.im 15.981 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.re x.im) around 0 15.981 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 15.981 * [taylor]: Taking taylor expansion of 3 in x.im 15.981 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 15.981 * [taylor]: Taking taylor expansion of x.im in x.im 15.981 * [taylor]: Taking taylor expansion of x.re in x.im 15.981 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 15.981 * [taylor]: Taking taylor expansion of 3 in x.re 15.981 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 15.982 * [taylor]: Taking taylor expansion of x.im in x.re 15.982 * [taylor]: Taking taylor expansion of x.re in x.re 15.982 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 15.982 * [taylor]: Taking taylor expansion of 3 in x.re 15.982 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 15.982 * [taylor]: Taking taylor expansion of x.im in x.re 15.982 * [taylor]: Taking taylor expansion of x.re in x.re 15.982 * [taylor]: Taking taylor expansion of (/ 3 x.im) in x.im 15.982 * [taylor]: Taking taylor expansion of 3 in x.im 15.982 * [taylor]: Taking taylor expansion of x.im in x.im 15.983 * [taylor]: Taking taylor expansion of 0 in x.im 15.985 * [taylor]: Taking taylor expansion of 0 in x.im 15.986 * [taylor]: Taking taylor expansion of 0 in x.im 15.987 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 15.987 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 15.987 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 15.987 * [taylor]: Taking taylor expansion of 3 in x.im 15.987 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 15.987 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 15.987 * [taylor]: Taking taylor expansion of x.im in x.im 15.987 * [taylor]: Taking taylor expansion of x.re in x.im 15.987 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 15.987 * [taylor]: Taking taylor expansion of 3 in x.re 15.987 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 15.987 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 15.987 * [taylor]: Taking taylor expansion of x.im in x.re 15.987 * [taylor]: Taking taylor expansion of x.re in x.re 15.987 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 15.987 * [taylor]: Taking taylor expansion of 3 in x.re 15.988 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 15.988 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 15.988 * [taylor]: Taking taylor expansion of x.im in x.re 15.988 * [taylor]: Taking taylor expansion of x.re in x.re 15.988 * [taylor]: Taking taylor expansion of 0 in x.im 15.989 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 15.990 * [taylor]: Taking taylor expansion of 3 in x.im 15.990 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 15.990 * [taylor]: Taking taylor expansion of x.im in x.im 15.992 * [taylor]: Taking taylor expansion of 0 in x.im 15.995 * [taylor]: Taking taylor expansion of 0 in x.im 15.995 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 15.995 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 15.995 * [taylor]: Taking taylor expansion of 3 in x.im 15.995 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 15.995 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 15.996 * [taylor]: Taking taylor expansion of x.im in x.im 15.996 * [taylor]: Taking taylor expansion of x.re in x.im 15.996 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 15.996 * [taylor]: Taking taylor expansion of 3 in x.re 15.996 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 15.996 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 15.996 * [taylor]: Taking taylor expansion of x.im in x.re 15.996 * [taylor]: Taking taylor expansion of x.re in x.re 15.997 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 15.997 * [taylor]: Taking taylor expansion of 3 in x.re 15.997 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 15.997 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 15.997 * [taylor]: Taking taylor expansion of x.im in x.re 15.997 * [taylor]: Taking taylor expansion of x.re in x.re 15.998 * [taylor]: Taking taylor expansion of (/ 3 (pow x.im 2)) in x.im 15.998 * [taylor]: Taking taylor expansion of 3 in x.im 15.998 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 15.998 * [taylor]: Taking taylor expansion of x.im in x.im 15.999 * [taylor]: Taking taylor expansion of 0 in x.im 16.002 * [taylor]: Taking taylor expansion of 0 in x.im 16.004 * [taylor]: Taking taylor expansion of 0 in x.im 16.008 * [taylor]: Taking taylor expansion of 0 in x.im 16.008 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 16.008 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 16.008 * [taylor]: Taking taylor expansion of -3 in x.im 16.008 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 16.008 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 16.008 * [taylor]: Taking taylor expansion of x.im in x.im 16.008 * [taylor]: Taking taylor expansion of x.re in x.im 16.008 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 16.008 * [taylor]: Taking taylor expansion of -3 in x.re 16.008 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 16.008 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 16.008 * [taylor]: Taking taylor expansion of x.im in x.re 16.008 * [taylor]: Taking taylor expansion of x.re in x.re 16.009 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 16.009 * [taylor]: Taking taylor expansion of -3 in x.re 16.009 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 16.009 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 16.009 * [taylor]: Taking taylor expansion of x.im in x.re 16.009 * [taylor]: Taking taylor expansion of x.re in x.re 16.010 * [taylor]: Taking taylor expansion of (/ -3 (pow x.im 2)) in x.im 16.010 * [taylor]: Taking taylor expansion of -3 in x.im 16.010 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 16.010 * [taylor]: Taking taylor expansion of x.im in x.im 16.011 * [taylor]: Taking taylor expansion of 0 in x.im 16.013 * [taylor]: Taking taylor expansion of 0 in x.im 16.016 * [taylor]: Taking taylor expansion of 0 in x.im 16.019 * [taylor]: Taking taylor expansion of 0 in x.im 16.019 * * * [progress]: simplifying candidates 16.020 * [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)) 16.022 * * [simplify]: iteration 0 : 63 enodes (cost 406 ) 16.034 * * [simplify]: iteration 1 : 175 enodes (cost 373 ) 16.082 * * [simplify]: iteration 2 : 843 enodes (cost 309 ) 16.550 * * [simplify]: iteration done : 5001 enodes (cost 309 ) 16.550 * [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))) (* x.re 3) (* (cbrt 3) (* x.re x.im)) (* (sqrt 3) (* x.re x.im)) (* 3 (* x.im x.re)) (* (* 3 (* x.re x.im)) x.im) (* (* 3 (* x.re x.im)) x.im) (* (* 3 (* x.re x.im)) x.im) (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 (* x.re x.im)) x.im) 3) (pow (* (* 3 (* x.re x.im)) x.im) 3) (pow (* (* 3 (* 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)) (pow (* (* 3 (* 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 x.im) (cbrt x.im))) (* (* 3 (* x.re x.im)) (sqrt x.im)) (* 3 (* x.im x.re)) (* (pow x.im 2) x.re) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* (* 3 (* x.re x.im)) x.im) (* (* 3 (* x.re x.im)) x.im) (* (* 3 (* x.re x.im)) x.im) 16.550 * * * [progress]: adding candidates to table 16.621 * [progress]: [Phase 3 of 3] Extracting. 16.621 * * [regime]: Finding splitpoints for: (# # # # #) 16.622 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 16.622 * * * * [regimes]: Trying to branch on x.im from (# # # # #) 16.644 * * * * [regimes]: Trying to branch on x.re from (# # # # #) 16.666 * * * [regime]: Found split indices: #