2.217 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [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)) 0.031 * * [simplify]: iteration 0 : 21 enodes (cost 9 ) 0.032 * * [simplify]: iteration 1 : 55 enodes (cost 9 ) 0.034 * * [simplify]: iteration 2 : 150 enodes (cost 9 ) 0.037 * * [simplify]: iteration 3 : 401 enodes (cost 6 ) 0.046 * * [simplify]: iteration 4 : 1088 enodes (cost 5 ) 0.065 * * [simplify]: iteration 5 : 2704 enodes (cost 5 ) 0.112 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.113 * [simplify]: Simplified to: (- (pow x.re 3) (* 3 (* x.im (* x.re x.im)))) 0.116 * * [progress]: iteration 1 / 4 0.116 * * * [progress]: picking best candidate 0.119 * * * * [pick]: Picked # 0.119 * * * [progress]: localizing error 0.128 * * * [progress]: generating rewritten candidates 0.128 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.135 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.141 * * * [progress]: generating series expansions 0.141 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.141 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.141 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.141 * [taylor]: Taking taylor expansion of 3 in x.re 0.141 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.141 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.141 * [taylor]: Taking taylor expansion of x.im in x.re 0.141 * [taylor]: Taking taylor expansion of x.re in x.re 0.141 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.141 * [taylor]: Taking taylor expansion of 3 in x.im 0.141 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.141 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.141 * [taylor]: Taking taylor expansion of x.im in x.im 0.141 * [taylor]: Taking taylor expansion of x.re in x.im 0.141 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.141 * [taylor]: Taking taylor expansion of 3 in x.im 0.141 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.141 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.141 * [taylor]: Taking taylor expansion of x.im in x.im 0.141 * [taylor]: Taking taylor expansion of x.re in x.im 0.142 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.142 * [taylor]: Taking taylor expansion of 3 in x.re 0.142 * [taylor]: Taking taylor expansion of x.re in x.re 0.143 * [taylor]: Taking taylor expansion of 0 in x.re 0.145 * [taylor]: Taking taylor expansion of 0 in x.re 0.148 * [taylor]: Taking taylor expansion of 0 in x.re 0.148 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.148 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.148 * [taylor]: Taking taylor expansion of 3 in x.re 0.148 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.148 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.148 * [taylor]: Taking taylor expansion of x.im in x.re 0.148 * [taylor]: Taking taylor expansion of x.re in x.re 0.149 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.149 * [taylor]: Taking taylor expansion of 3 in x.im 0.149 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.149 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.149 * [taylor]: Taking taylor expansion of x.im in x.im 0.149 * [taylor]: Taking taylor expansion of x.re in x.im 0.149 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.149 * [taylor]: Taking taylor expansion of 3 in x.im 0.149 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.149 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.149 * [taylor]: Taking taylor expansion of x.im in x.im 0.149 * [taylor]: Taking taylor expansion of x.re in x.im 0.150 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.150 * [taylor]: Taking taylor expansion of 3 in x.re 0.150 * [taylor]: Taking taylor expansion of x.re in x.re 0.151 * [taylor]: Taking taylor expansion of 0 in x.re 0.152 * [taylor]: Taking taylor expansion of 0 in x.re 0.154 * [taylor]: Taking taylor expansion of 0 in x.re 0.155 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.155 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.155 * [taylor]: Taking taylor expansion of -3 in x.re 0.155 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.155 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.155 * [taylor]: Taking taylor expansion of x.im in x.re 0.155 * [taylor]: Taking taylor expansion of x.re in x.re 0.155 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.156 * [taylor]: Taking taylor expansion of -3 in x.im 0.156 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.156 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.156 * [taylor]: Taking taylor expansion of x.im in x.im 0.156 * [taylor]: Taking taylor expansion of x.re in x.im 0.156 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.156 * [taylor]: Taking taylor expansion of -3 in x.im 0.156 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.156 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.156 * [taylor]: Taking taylor expansion of x.im in x.im 0.156 * [taylor]: Taking taylor expansion of x.re in x.im 0.156 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.156 * [taylor]: Taking taylor expansion of -3 in x.re 0.156 * [taylor]: Taking taylor expansion of x.re in x.re 0.157 * [taylor]: Taking taylor expansion of 0 in x.re 0.159 * [taylor]: Taking taylor expansion of 0 in x.re 0.161 * [taylor]: Taking taylor expansion of 0 in x.re 0.162 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.162 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.im x.re) around 0 0.162 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.162 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.162 * [taylor]: Taking taylor expansion of x.im in x.re 0.162 * [taylor]: Taking taylor expansion of x.re in x.re 0.162 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.162 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.162 * [taylor]: Taking taylor expansion of x.im in x.im 0.162 * [taylor]: Taking taylor expansion of x.re in x.im 0.162 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.162 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.162 * [taylor]: Taking taylor expansion of x.im in x.im 0.162 * [taylor]: Taking taylor expansion of x.re in x.im 0.162 * [taylor]: Taking taylor expansion of x.re in x.re 0.163 * [taylor]: Taking taylor expansion of 0 in x.re 0.164 * [taylor]: Taking taylor expansion of 0 in x.re 0.165 * [taylor]: Taking taylor expansion of 0 in x.re 0.166 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.166 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.166 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.166 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.166 * [taylor]: Taking taylor expansion of x.im in x.re 0.166 * [taylor]: Taking taylor expansion of x.re in x.re 0.166 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.166 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.166 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.166 * [taylor]: Taking taylor expansion of x.im in x.im 0.166 * [taylor]: Taking taylor expansion of x.re in x.im 0.167 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.167 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.167 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.167 * [taylor]: Taking taylor expansion of x.im in x.im 0.167 * [taylor]: Taking taylor expansion of x.re in x.im 0.167 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.167 * [taylor]: Taking taylor expansion of x.re in x.re 0.168 * [taylor]: Taking taylor expansion of 0 in x.re 0.169 * [taylor]: Taking taylor expansion of 0 in x.re 0.171 * [taylor]: Taking taylor expansion of 0 in x.re 0.172 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.172 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.172 * [taylor]: Taking taylor expansion of -1 in x.re 0.172 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.172 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.172 * [taylor]: Taking taylor expansion of x.im in x.re 0.172 * [taylor]: Taking taylor expansion of x.re in x.re 0.173 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.173 * [taylor]: Taking taylor expansion of -1 in x.im 0.173 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.173 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.173 * [taylor]: Taking taylor expansion of x.im in x.im 0.173 * [taylor]: Taking taylor expansion of x.re in x.im 0.173 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.173 * [taylor]: Taking taylor expansion of -1 in x.im 0.173 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.173 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.173 * [taylor]: Taking taylor expansion of x.im in x.im 0.173 * [taylor]: Taking taylor expansion of x.re in x.im 0.173 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.173 * [taylor]: Taking taylor expansion of -1 in x.re 0.174 * [taylor]: Taking taylor expansion of x.re in x.re 0.174 * [taylor]: Taking taylor expansion of 0 in x.re 0.176 * [taylor]: Taking taylor expansion of 0 in x.re 0.178 * [taylor]: Taking taylor expansion of 0 in x.re 0.179 * * * [progress]: simplifying candidates 0.179 * [simplify]: Simplifying using # : (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (+ (log 3) (+ (log x.im) (+ (log x.re) (log x.im)))) (+ (log 3) (+ (log x.im) (log (* x.re x.im)))) (+ (log 3) (log (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (exp (* 3 (* x.im (* x.re x.im)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)))) (* (* (* 3 3) 3) (* (* (* x.im (* x.re x.im)) (* x.im (* x.re x.im))) (* x.im (* x.re x.im)))) (* (cbrt (* 3 (* x.im (* x.re x.im)))) (cbrt (* 3 (* x.im (* x.re x.im))))) (cbrt (* 3 (* x.im (* x.re x.im)))) (* (* (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im)))) (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.im))) (* (sqrt 3) (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 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) 0.183 * * [simplify]: iteration 0 : 151 enodes (cost 179 ) 0.186 * * [simplify]: iteration 1 : 581 enodes (cost 143 ) 0.201 * * [simplify]: iteration 2 : 3219 enodes (cost 143 ) 0.267 * * [simplify]: iteration 3 : 5001 enodes (cost 142 ) 0.269 * [simplify]: Simplified to: (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 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 (* 3 (* x.im (* x.re x.im))) 3) (pow (* 3 (* x.im (* x.re x.im))) 3) (pow (* 3 (* x.im (* x.re x.im))) 3) (* (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 (* 3 (* x.im (* x.re x.im))) 3) (sqrt (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.im))) (* (sqrt 3) (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 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 (* x.im (* x.re x.im)) 3) (pow (* x.im (* x.re x.im)) 3) (* (cbrt (* x.im (* x.re x.im))) (cbrt (* x.im (* x.re x.im)))) (cbrt (* x.im (* x.re x.im))) (pow (* x.im (* x.re x.im)) 3) (sqrt (* x.im (* x.re x.im))) (sqrt (* x.im (* x.re x.im))) (* x.re x.im) (* (cbrt x.im) (* x.re x.im)) (* (pow x.im 3/2) x.re) (* x.im (* x.re x.im)) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) 0.269 * * * [progress]: adding candidates to table 0.328 * * [progress]: iteration 2 / 4 0.328 * * * [progress]: picking best candidate 0.343 * * * * [pick]: Picked # 0.343 * * * [progress]: localizing error 0.350 * * * [progress]: generating rewritten candidates 0.350 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.357 * * * [progress]: generating series expansions 0.357 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.358 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.358 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.358 * [taylor]: Taking taylor expansion of 3 in x.re 0.358 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.358 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.358 * [taylor]: Taking taylor expansion of x.im in x.re 0.358 * [taylor]: Taking taylor expansion of x.re in x.re 0.358 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.358 * [taylor]: Taking taylor expansion of 3 in x.im 0.358 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.358 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.358 * [taylor]: Taking taylor expansion of x.im in x.im 0.358 * [taylor]: Taking taylor expansion of x.re in x.im 0.358 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.358 * [taylor]: Taking taylor expansion of 3 in x.im 0.358 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.358 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.358 * [taylor]: Taking taylor expansion of x.im in x.im 0.358 * [taylor]: Taking taylor expansion of x.re in x.im 0.358 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.358 * [taylor]: Taking taylor expansion of 3 in x.re 0.358 * [taylor]: Taking taylor expansion of x.re in x.re 0.360 * [taylor]: Taking taylor expansion of 0 in x.re 0.362 * [taylor]: Taking taylor expansion of 0 in x.re 0.364 * [taylor]: Taking taylor expansion of 0 in x.re 0.364 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.364 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.364 * [taylor]: Taking taylor expansion of 3 in x.re 0.364 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.364 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.364 * [taylor]: Taking taylor expansion of x.im in x.re 0.364 * [taylor]: Taking taylor expansion of x.re in x.re 0.365 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.365 * [taylor]: Taking taylor expansion of 3 in x.im 0.365 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.365 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.365 * [taylor]: Taking taylor expansion of x.im in x.im 0.365 * [taylor]: Taking taylor expansion of x.re in x.im 0.365 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.365 * [taylor]: Taking taylor expansion of 3 in x.im 0.365 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.365 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.365 * [taylor]: Taking taylor expansion of x.im in x.im 0.365 * [taylor]: Taking taylor expansion of x.re in x.im 0.366 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.366 * [taylor]: Taking taylor expansion of 3 in x.re 0.366 * [taylor]: Taking taylor expansion of x.re in x.re 0.367 * [taylor]: Taking taylor expansion of 0 in x.re 0.369 * [taylor]: Taking taylor expansion of 0 in x.re 0.370 * [taylor]: Taking taylor expansion of 0 in x.re 0.371 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.371 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.371 * [taylor]: Taking taylor expansion of -3 in x.re 0.371 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.371 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.371 * [taylor]: Taking taylor expansion of x.im in x.re 0.371 * [taylor]: Taking taylor expansion of x.re in x.re 0.372 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.372 * [taylor]: Taking taylor expansion of -3 in x.im 0.372 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.372 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.372 * [taylor]: Taking taylor expansion of x.im in x.im 0.372 * [taylor]: Taking taylor expansion of x.re in x.im 0.372 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.372 * [taylor]: Taking taylor expansion of -3 in x.im 0.372 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.372 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.372 * [taylor]: Taking taylor expansion of x.im in x.im 0.372 * [taylor]: Taking taylor expansion of x.re in x.im 0.373 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.373 * [taylor]: Taking taylor expansion of -3 in x.re 0.373 * [taylor]: Taking taylor expansion of x.re in x.re 0.374 * [taylor]: Taking taylor expansion of 0 in x.re 0.375 * [taylor]: Taking taylor expansion of 0 in x.re 0.377 * [taylor]: Taking taylor expansion of 0 in x.re 0.378 * * * [progress]: simplifying candidates 0.378 * [simplify]: Simplifying using # : (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (+ (+ (log 3) (log x.im)) (+ (log x.re) (log x.im))) (+ (+ (log 3) (log x.im)) (log (* x.re x.im))) (+ (log (* 3 x.im)) (+ (log x.re) (log x.im))) (+ (log (* 3 x.im)) (log (* x.re x.im))) (log (* (* 3 x.im) (* x.re x.im))) (exp (* (* 3 x.im) (* x.re x.im))) (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (cbrt (* (* 3 x.im) (* x.re x.im))) (cbrt (* (* 3 x.im) (* x.re x.im)))) (cbrt (* (* 3 x.im) (* x.re x.im))) (* (* (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im))) (* (* 3 x.im) (* x.re x.im))) (sqrt (* (* 3 x.im) (* x.re x.im))) (sqrt (* (* 3 x.im) (* x.re x.im))) (* (* 3 x.im) x.re) (* 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)) 0.382 * * [simplify]: iteration 0 : 135 enodes (cost 118 ) 0.385 * * [simplify]: iteration 1 : 621 enodes (cost 90 ) 0.402 * * [simplify]: iteration 2 : 3862 enodes (cost 90 ) 0.489 * * [simplify]: iteration 3 : 5001 enodes (cost 90 ) 0.490 * [simplify]: Simplified to: (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 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 (* (* 3 x.im) (* x.re x.im)) 3) (pow (* (* 3 x.im) (* x.re x.im)) 3) (pow (* (* 3 x.im) (* x.re x.im)) 3) (pow (* (* 3 x.im) (* x.re x.im)) 3) (* (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 (* (* 3 x.im) (* x.re x.im)) 3) (sqrt (* (* 3 x.im) (* x.re x.im))) (sqrt (* (* 3 x.im) (* x.re x.im))) (* (* 3 x.im) x.re) (* x.im (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) 0.490 * * * [progress]: adding candidates to table 0.520 * * [progress]: iteration 3 / 4 0.520 * * * [progress]: picking best candidate 0.533 * * * * [pick]: Picked # 0.533 * * * [progress]: localizing error 0.540 * * * [progress]: generating rewritten candidates 0.540 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.547 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.553 * * * [progress]: generating series expansions 0.553 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.553 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.553 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.553 * [taylor]: Taking taylor expansion of 3 in x.re 0.553 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.553 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.553 * [taylor]: Taking taylor expansion of x.im in x.re 0.553 * [taylor]: Taking taylor expansion of x.re in x.re 0.553 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.553 * [taylor]: Taking taylor expansion of 3 in x.im 0.553 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.553 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.553 * [taylor]: Taking taylor expansion of x.im in x.im 0.553 * [taylor]: Taking taylor expansion of x.re in x.im 0.553 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.553 * [taylor]: Taking taylor expansion of 3 in x.im 0.553 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.553 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.553 * [taylor]: Taking taylor expansion of x.im in x.im 0.553 * [taylor]: Taking taylor expansion of x.re in x.im 0.554 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.554 * [taylor]: Taking taylor expansion of 3 in x.re 0.554 * [taylor]: Taking taylor expansion of x.re in x.re 0.555 * [taylor]: Taking taylor expansion of 0 in x.re 0.557 * [taylor]: Taking taylor expansion of 0 in x.re 0.559 * [taylor]: Taking taylor expansion of 0 in x.re 0.560 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.560 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.560 * [taylor]: Taking taylor expansion of 3 in x.re 0.560 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.560 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.560 * [taylor]: Taking taylor expansion of x.im in x.re 0.560 * [taylor]: Taking taylor expansion of x.re in x.re 0.560 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.560 * [taylor]: Taking taylor expansion of 3 in x.im 0.560 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.560 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.560 * [taylor]: Taking taylor expansion of x.im in x.im 0.560 * [taylor]: Taking taylor expansion of x.re in x.im 0.561 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.561 * [taylor]: Taking taylor expansion of 3 in x.im 0.561 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.561 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.561 * [taylor]: Taking taylor expansion of x.im in x.im 0.561 * [taylor]: Taking taylor expansion of x.re in x.im 0.561 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.561 * [taylor]: Taking taylor expansion of 3 in x.re 0.561 * [taylor]: Taking taylor expansion of x.re in x.re 0.562 * [taylor]: Taking taylor expansion of 0 in x.re 0.564 * [taylor]: Taking taylor expansion of 0 in x.re 0.566 * [taylor]: Taking taylor expansion of 0 in x.re 0.566 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.566 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.566 * [taylor]: Taking taylor expansion of -3 in x.re 0.566 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.567 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.567 * [taylor]: Taking taylor expansion of x.im in x.re 0.567 * [taylor]: Taking taylor expansion of x.re in x.re 0.567 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.567 * [taylor]: Taking taylor expansion of -3 in x.im 0.567 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.567 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.567 * [taylor]: Taking taylor expansion of x.im in x.im 0.567 * [taylor]: Taking taylor expansion of x.re in x.im 0.567 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.567 * [taylor]: Taking taylor expansion of -3 in x.im 0.567 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.568 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.568 * [taylor]: Taking taylor expansion of x.im in x.im 0.568 * [taylor]: Taking taylor expansion of x.re in x.im 0.568 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.568 * [taylor]: Taking taylor expansion of -3 in x.re 0.568 * [taylor]: Taking taylor expansion of x.re in x.re 0.569 * [taylor]: Taking taylor expansion of 0 in x.re 0.570 * [taylor]: Taking taylor expansion of 0 in x.re 0.572 * [taylor]: Taking taylor expansion of 0 in x.re 0.573 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.573 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.im x.re) around 0 0.573 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.573 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.573 * [taylor]: Taking taylor expansion of x.im in x.re 0.573 * [taylor]: Taking taylor expansion of x.re in x.re 0.573 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.573 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.573 * [taylor]: Taking taylor expansion of x.im in x.im 0.573 * [taylor]: Taking taylor expansion of x.re in x.im 0.573 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.573 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.573 * [taylor]: Taking taylor expansion of x.im in x.im 0.573 * [taylor]: Taking taylor expansion of x.re in x.im 0.574 * [taylor]: Taking taylor expansion of x.re in x.re 0.574 * [taylor]: Taking taylor expansion of 0 in x.re 0.575 * [taylor]: Taking taylor expansion of 0 in x.re 0.577 * [taylor]: Taking taylor expansion of 0 in x.re 0.577 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.577 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.577 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.577 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.577 * [taylor]: Taking taylor expansion of x.im in x.re 0.577 * [taylor]: Taking taylor expansion of x.re in x.re 0.578 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.578 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.578 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.578 * [taylor]: Taking taylor expansion of x.im in x.im 0.578 * [taylor]: Taking taylor expansion of x.re in x.im 0.578 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.578 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.578 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.578 * [taylor]: Taking taylor expansion of x.im in x.im 0.578 * [taylor]: Taking taylor expansion of x.re in x.im 0.578 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.578 * [taylor]: Taking taylor expansion of x.re in x.re 0.579 * [taylor]: Taking taylor expansion of 0 in x.re 0.581 * [taylor]: Taking taylor expansion of 0 in x.re 0.583 * [taylor]: Taking taylor expansion of 0 in x.re 0.583 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.583 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.583 * [taylor]: Taking taylor expansion of -1 in x.re 0.584 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.584 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.584 * [taylor]: Taking taylor expansion of x.im in x.re 0.584 * [taylor]: Taking taylor expansion of x.re in x.re 0.584 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.584 * [taylor]: Taking taylor expansion of -1 in x.im 0.584 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.584 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.584 * [taylor]: Taking taylor expansion of x.im in x.im 0.584 * [taylor]: Taking taylor expansion of x.re in x.im 0.584 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.584 * [taylor]: Taking taylor expansion of -1 in x.im 0.584 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.585 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.585 * [taylor]: Taking taylor expansion of x.im in x.im 0.585 * [taylor]: Taking taylor expansion of x.re in x.im 0.585 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.585 * [taylor]: Taking taylor expansion of -1 in x.re 0.585 * [taylor]: Taking taylor expansion of x.re in x.re 0.586 * [taylor]: Taking taylor expansion of 0 in x.re 0.587 * [taylor]: Taking taylor expansion of 0 in x.re 0.589 * [taylor]: Taking taylor expansion of 0 in x.re 0.590 * * * [progress]: simplifying candidates 0.591 * [simplify]: Simplifying using # : (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (+ (log 3) (+ (log x.im) (+ (log x.re) (log x.im)))) (+ (log 3) (+ (log x.im) (log (* x.re x.im)))) (+ (log 3) (log (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (exp (* 3 (* x.im (* x.re x.im)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)))) (* (* (* 3 3) 3) (* (* (* x.im (* x.re x.im)) (* x.im (* x.re x.im))) (* x.im (* x.re x.im)))) (* (cbrt (* 3 (* x.im (* x.re x.im)))) (cbrt (* 3 (* x.im (* x.re x.im))))) (cbrt (* 3 (* x.im (* x.re x.im)))) (* (* (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im)))) (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.im))) (* (sqrt 3) (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 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) 0.597 * * [simplify]: iteration 0 : 151 enodes (cost 179 ) 0.601 * * [simplify]: iteration 1 : 581 enodes (cost 143 ) 0.615 * * [simplify]: iteration 2 : 3219 enodes (cost 143 ) 0.682 * * [simplify]: iteration 3 : 5001 enodes (cost 142 ) 0.684 * [simplify]: Simplified to: (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 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 (* 3 (* x.im (* x.re x.im))) 3) (pow (* 3 (* x.im (* x.re x.im))) 3) (pow (* 3 (* x.im (* x.re x.im))) 3) (* (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 (* 3 (* x.im (* x.re x.im))) 3) (sqrt (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.im))) (* (sqrt 3) (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 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 (* x.im (* x.re x.im)) 3) (pow (* x.im (* x.re x.im)) 3) (* (cbrt (* x.im (* x.re x.im))) (cbrt (* x.im (* x.re x.im)))) (cbrt (* x.im (* x.re x.im))) (pow (* x.im (* x.re x.im)) 3) (sqrt (* x.im (* x.re x.im))) (sqrt (* x.im (* x.re x.im))) (* x.re x.im) (* (cbrt x.im) (* x.re x.im)) (* (pow x.im 3/2) x.re) (* x.im (* x.re x.im)) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) 0.684 * * * [progress]: adding candidates to table 0.726 * * [progress]: iteration 4 / 4 0.726 * * * [progress]: picking best candidate 0.741 * * * * [pick]: Picked # 0.741 * * * [progress]: localizing error 0.748 * * * [progress]: generating rewritten candidates 0.748 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.753 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.761 * * * [progress]: generating series expansions 0.761 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.761 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.761 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.761 * [taylor]: Taking taylor expansion of 3 in x.re 0.761 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.761 * [taylor]: Taking taylor expansion of x.im in x.re 0.761 * [taylor]: Taking taylor expansion of x.re in x.re 0.761 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.761 * [taylor]: Taking taylor expansion of 3 in x.im 0.761 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.761 * [taylor]: Taking taylor expansion of x.im in x.im 0.761 * [taylor]: Taking taylor expansion of x.re in x.im 0.761 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.761 * [taylor]: Taking taylor expansion of 3 in x.im 0.761 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.761 * [taylor]: Taking taylor expansion of x.im in x.im 0.761 * [taylor]: Taking taylor expansion of x.re in x.im 0.762 * [taylor]: Taking taylor expansion of 0 in x.re 0.762 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.762 * [taylor]: Taking taylor expansion of 3 in x.re 0.762 * [taylor]: Taking taylor expansion of x.re in x.re 0.764 * [taylor]: Taking taylor expansion of 0 in x.re 0.765 * [taylor]: Taking taylor expansion of 0 in x.re 0.768 * [taylor]: Taking taylor expansion of 0 in x.re 0.768 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.768 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.768 * [taylor]: Taking taylor expansion of 3 in x.re 0.768 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.768 * [taylor]: Taking taylor expansion of x.im in x.re 0.768 * [taylor]: Taking taylor expansion of x.re in x.re 0.768 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.768 * [taylor]: Taking taylor expansion of 3 in x.im 0.768 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.768 * [taylor]: Taking taylor expansion of x.im in x.im 0.768 * [taylor]: Taking taylor expansion of x.re in x.im 0.769 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.769 * [taylor]: Taking taylor expansion of 3 in x.im 0.769 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.769 * [taylor]: Taking taylor expansion of x.im in x.im 0.769 * [taylor]: Taking taylor expansion of x.re in x.im 0.769 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.769 * [taylor]: Taking taylor expansion of 3 in x.re 0.769 * [taylor]: Taking taylor expansion of x.re in x.re 0.770 * [taylor]: Taking taylor expansion of 0 in x.re 0.771 * [taylor]: Taking taylor expansion of 0 in x.re 0.773 * [taylor]: Taking taylor expansion of 0 in x.re 0.774 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.774 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.774 * [taylor]: Taking taylor expansion of 3 in x.re 0.774 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.774 * [taylor]: Taking taylor expansion of x.im in x.re 0.774 * [taylor]: Taking taylor expansion of x.re in x.re 0.774 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.774 * [taylor]: Taking taylor expansion of 3 in x.im 0.774 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.774 * [taylor]: Taking taylor expansion of x.im in x.im 0.774 * [taylor]: Taking taylor expansion of x.re in x.im 0.774 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.774 * [taylor]: Taking taylor expansion of 3 in x.im 0.774 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.774 * [taylor]: Taking taylor expansion of x.im in x.im 0.774 * [taylor]: Taking taylor expansion of x.re in x.im 0.775 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.775 * [taylor]: Taking taylor expansion of 3 in x.re 0.775 * [taylor]: Taking taylor expansion of x.re in x.re 0.776 * [taylor]: Taking taylor expansion of 0 in x.re 0.777 * [taylor]: Taking taylor expansion of 0 in x.re 0.779 * [taylor]: Taking taylor expansion of 0 in x.re 0.779 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.779 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.779 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.779 * [taylor]: Taking taylor expansion of 3 in x.re 0.779 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.780 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.780 * [taylor]: Taking taylor expansion of x.im in x.re 0.780 * [taylor]: Taking taylor expansion of x.re in x.re 0.780 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.780 * [taylor]: Taking taylor expansion of 3 in x.im 0.780 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.780 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.780 * [taylor]: Taking taylor expansion of x.im in x.im 0.780 * [taylor]: Taking taylor expansion of x.re in x.im 0.780 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.780 * [taylor]: Taking taylor expansion of 3 in x.im 0.780 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.780 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.780 * [taylor]: Taking taylor expansion of x.im in x.im 0.780 * [taylor]: Taking taylor expansion of x.re in x.im 0.780 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.780 * [taylor]: Taking taylor expansion of 3 in x.re 0.780 * [taylor]: Taking taylor expansion of x.re in x.re 0.781 * [taylor]: Taking taylor expansion of 0 in x.re 0.783 * [taylor]: Taking taylor expansion of 0 in x.re 0.786 * [taylor]: Taking taylor expansion of 0 in x.re 0.786 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.786 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.786 * [taylor]: Taking taylor expansion of 3 in x.re 0.786 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.786 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.786 * [taylor]: Taking taylor expansion of x.im in x.re 0.786 * [taylor]: Taking taylor expansion of x.re in x.re 0.787 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.787 * [taylor]: Taking taylor expansion of 3 in x.im 0.787 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.787 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.787 * [taylor]: Taking taylor expansion of x.im in x.im 0.787 * [taylor]: Taking taylor expansion of x.re in x.im 0.787 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.787 * [taylor]: Taking taylor expansion of 3 in x.im 0.787 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.787 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.787 * [taylor]: Taking taylor expansion of x.im in x.im 0.787 * [taylor]: Taking taylor expansion of x.re in x.im 0.788 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.788 * [taylor]: Taking taylor expansion of 3 in x.re 0.788 * [taylor]: Taking taylor expansion of x.re in x.re 0.789 * [taylor]: Taking taylor expansion of 0 in x.re 0.790 * [taylor]: Taking taylor expansion of 0 in x.re 0.792 * [taylor]: Taking taylor expansion of 0 in x.re 0.793 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.793 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.793 * [taylor]: Taking taylor expansion of -3 in x.re 0.793 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.793 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.793 * [taylor]: Taking taylor expansion of x.im in x.re 0.793 * [taylor]: Taking taylor expansion of x.re in x.re 0.793 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.793 * [taylor]: Taking taylor expansion of -3 in x.im 0.794 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.794 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.794 * [taylor]: Taking taylor expansion of x.im in x.im 0.794 * [taylor]: Taking taylor expansion of x.re in x.im 0.794 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.794 * [taylor]: Taking taylor expansion of -3 in x.im 0.794 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.794 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.794 * [taylor]: Taking taylor expansion of x.im in x.im 0.794 * [taylor]: Taking taylor expansion of x.re in x.im 0.794 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.794 * [taylor]: Taking taylor expansion of -3 in x.re 0.794 * [taylor]: Taking taylor expansion of x.re in x.re 0.795 * [taylor]: Taking taylor expansion of 0 in x.re 0.797 * [taylor]: Taking taylor expansion of 0 in x.re 0.799 * [taylor]: Taking taylor expansion of 0 in x.re 0.800 * * * [progress]: simplifying candidates 0.800 * [simplify]: Simplifying using # : (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (+ (+ (log 3) (log x.im)) (log x.re)) (+ (log (* 3 x.im)) (log x.re)) (log (* (* 3 x.im) x.re)) (exp (* (* 3 x.im) x.re)) (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re)) (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* x.re x.re) x.re)) (* (cbrt (* (* 3 x.im) x.re)) (cbrt (* (* 3 x.im) x.re))) (cbrt (* (* 3 x.im) x.re)) (* (* (* (* 3 x.im) x.re) (* (* 3 x.im) x.re)) (* (* 3 x.im) x.re)) (sqrt (* (* 3 x.im) x.re)) (sqrt (* (* 3 x.im) x.re)) (* (* 3 x.im) (* (cbrt x.re) (cbrt x.re))) (* (* 3 x.im) (sqrt x.re)) (* (* 3 x.im) 1) (* x.im x.re) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (+ (+ (+ (log 3) (log x.im)) (log x.re)) (log x.im)) (+ (+ (log (* 3 x.im)) (log x.re)) (log x.im)) (+ (log (* (* 3 x.im) x.re)) (log x.im)) (log (* (* (* 3 x.im) x.re) x.im)) (exp (* (* (* 3 x.im) x.re) x.im)) (* (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re)) (* (* x.im x.im) x.im)) (* (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* x.re x.re) x.re)) (* (* x.im x.im) x.im)) (* (* (* (* (* 3 x.im) x.re) (* (* 3 x.im) x.re)) (* (* 3 x.im) x.re)) (* (* x.im x.im) x.im)) (* (cbrt (* (* (* 3 x.im) x.re) x.im)) (cbrt (* (* (* 3 x.im) x.re) x.im))) (cbrt (* (* (* 3 x.im) x.re) x.im)) (* (* (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im)) (* (* (* 3 x.im) x.re) x.im)) (sqrt (* (* (* 3 x.im) x.re) x.im)) (sqrt (* (* (* 3 x.im) x.re) x.im)) (* (* (* 3 x.im) x.re) (* (cbrt x.im) (cbrt x.im))) (* (* (* 3 x.im) x.re) (sqrt x.im)) (* (* (* 3 x.im) x.re) 1) (* x.re 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)) 0.804 * * [simplify]: iteration 0 : 172 enodes (cost 179 ) 0.808 * * [simplify]: iteration 1 : 998 enodes (cost 145 ) 0.836 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.838 * [simplify]: Simplified to: (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (log (* (* 3 x.im) x.re)) (log (* (* 3 x.im) x.re)) (log (* (* 3 x.im) x.re)) (exp (* (* 3 x.im) x.re)) (pow (* (* 3 x.im) x.re) 3) (pow (* (* 3 x.im) x.re) 3) (* (cbrt (* (* 3 x.im) x.re)) (cbrt (* (* 3 x.im) x.re))) (cbrt (* (* 3 x.im) x.re)) (pow (* (* 3 x.im) x.re) 3) (sqrt (* (* 3 x.im) x.re)) (sqrt (* (* 3 x.im) x.re)) (* (* 3 x.im) (* (cbrt x.re) (cbrt x.re))) (* (* 3 x.im) (sqrt x.re)) (* 3 x.im) (* x.im x.re) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (* (* (* 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 (* (* (* 3 x.im) x.re) x.im) 3) (pow (* (* (* 3 x.im) x.re) x.im) 3) (pow (* (* (* 3 x.im) x.re) x.im) 3) (* (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 (* (* (* 3 x.im) x.re) x.im) 3) (sqrt (* (* (* 3 x.im) x.re) x.im)) (sqrt (* (* (* 3 x.im) x.re) x.im)) (* (* (* 3 x.im) x.re) (* (cbrt x.im) (cbrt x.im))) (* (* (* 3 x.im) x.re) (sqrt x.im)) (* (* 3 x.im) x.re) (* x.im x.re) (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) 0.838 * * * [progress]: adding candidates to table 0.901 * [progress]: [Phase 3 of 3] Extracting. 0.901 * * [regime]: Finding splitpoints for: (# # # # # # # #) 0.902 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 0.903 * * * * [regimes]: Trying to branch on x.im from (# # # # # # # #) 0.927 * * * * [regimes]: Trying to branch on x.re from (# # # # # # # #) 0.955 * * * [regime]: Found split indices: #