3.533 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.035 * * [simplify]: iteration 0 : 21 enodes (cost 9 ) 0.037 * * [simplify]: iteration 1 : 55 enodes (cost 9 ) 0.039 * * [simplify]: iteration 2 : 150 enodes (cost 9 ) 0.042 * * [simplify]: iteration 3 : 401 enodes (cost 6 ) 0.050 * * [simplify]: iteration 4 : 1088 enodes (cost 5 ) 0.070 * * [simplify]: iteration 5 : 2704 enodes (cost 5 ) 0.116 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.117 * [simplify]: Simplified to: (- (pow x.re 3) (* 3 (* x.im (* x.re x.im)))) 0.120 * * [progress]: iteration 1 / 4 0.120 * * * [progress]: picking best candidate 0.123 * * * * [pick]: Picked # 0.123 * * * [progress]: localizing error 0.130 * * * [progress]: generating rewritten candidates 0.130 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.137 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.145 * * * [progress]: generating series expansions 0.145 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.145 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.145 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.145 * [taylor]: Taking taylor expansion of 3 in x.re 0.145 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.145 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.145 * [taylor]: Taking taylor expansion of x.im in x.re 0.145 * [taylor]: Taking taylor expansion of x.re in x.re 0.145 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.145 * [taylor]: Taking taylor expansion of 3 in x.im 0.145 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.145 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.145 * [taylor]: Taking taylor expansion of x.im in x.im 0.145 * [taylor]: Taking taylor expansion of x.re in x.im 0.145 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.145 * [taylor]: Taking taylor expansion of 3 in x.im 0.145 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.145 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.145 * [taylor]: Taking taylor expansion of x.im in x.im 0.145 * [taylor]: Taking taylor expansion of x.re in x.im 0.146 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.146 * [taylor]: Taking taylor expansion of 3 in x.re 0.146 * [taylor]: Taking taylor expansion of x.re in x.re 0.147 * [taylor]: Taking taylor expansion of 0 in x.re 0.149 * [taylor]: Taking taylor expansion of 0 in x.re 0.152 * [taylor]: Taking taylor expansion of 0 in x.re 0.152 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.152 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.152 * [taylor]: Taking taylor expansion of 3 in x.re 0.152 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.152 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.152 * [taylor]: Taking taylor expansion of x.im in x.re 0.152 * [taylor]: Taking taylor expansion of x.re in x.re 0.152 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.153 * [taylor]: Taking taylor expansion of 3 in x.im 0.153 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.153 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.153 * [taylor]: Taking taylor expansion of x.im in x.im 0.153 * [taylor]: Taking taylor expansion of x.re in x.im 0.153 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.153 * [taylor]: Taking taylor expansion of 3 in x.im 0.153 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.153 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.153 * [taylor]: Taking taylor expansion of x.im in x.im 0.153 * [taylor]: Taking taylor expansion of x.re in x.im 0.153 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.153 * [taylor]: Taking taylor expansion of 3 in x.re 0.153 * [taylor]: Taking taylor expansion of x.re in x.re 0.154 * [taylor]: Taking taylor expansion of 0 in x.re 0.156 * [taylor]: Taking taylor expansion of 0 in x.re 0.158 * [taylor]: Taking taylor expansion of 0 in x.re 0.159 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.159 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.159 * [taylor]: Taking taylor expansion of -3 in x.re 0.159 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.159 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.159 * [taylor]: Taking taylor expansion of x.im in x.re 0.159 * [taylor]: Taking taylor expansion of x.re in x.re 0.159 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.159 * [taylor]: Taking taylor expansion of -3 in x.im 0.159 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.159 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.159 * [taylor]: Taking taylor expansion of x.im in x.im 0.159 * [taylor]: Taking taylor expansion of x.re in x.im 0.160 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.160 * [taylor]: Taking taylor expansion of -3 in x.im 0.160 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.160 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.160 * [taylor]: Taking taylor expansion of x.im in x.im 0.160 * [taylor]: Taking taylor expansion of x.re in x.im 0.160 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.160 * [taylor]: Taking taylor expansion of -3 in x.re 0.160 * [taylor]: Taking taylor expansion of x.re in x.re 0.161 * [taylor]: Taking taylor expansion of 0 in x.re 0.163 * [taylor]: Taking taylor expansion of 0 in x.re 0.165 * [taylor]: Taking taylor expansion of 0 in x.re 0.166 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.166 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.im x.re) around 0 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 (* (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 0.166 * [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 0.166 * [taylor]: Taking taylor expansion of x.re in x.re 0.167 * [taylor]: Taking taylor expansion of 0 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 0.169 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.169 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.169 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.169 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.169 * [taylor]: Taking taylor expansion of x.im in x.re 0.170 * [taylor]: Taking taylor expansion of x.re in x.re 0.170 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.170 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.170 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.170 * [taylor]: Taking taylor expansion of x.im in x.im 0.170 * [taylor]: Taking taylor expansion of x.re in x.im 0.170 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.170 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.170 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.171 * [taylor]: Taking taylor expansion of x.im in x.im 0.171 * [taylor]: Taking taylor expansion of x.re in x.im 0.171 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.171 * [taylor]: Taking taylor expansion of x.re in x.re 0.172 * [taylor]: Taking taylor expansion of 0 in x.re 0.174 * [taylor]: Taking taylor expansion of 0 in x.re 0.175 * [taylor]: Taking taylor expansion of 0 in x.re 0.176 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.176 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.176 * [taylor]: Taking taylor expansion of -1 in x.re 0.176 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.176 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.176 * [taylor]: Taking taylor expansion of x.im in x.re 0.176 * [taylor]: Taking taylor expansion of x.re in x.re 0.177 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.177 * [taylor]: Taking taylor expansion of -1 in x.im 0.177 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.177 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.177 * [taylor]: Taking taylor expansion of x.im in x.im 0.177 * [taylor]: Taking taylor expansion of x.re in x.im 0.178 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.178 * [taylor]: Taking taylor expansion of -1 in x.im 0.178 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.178 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.178 * [taylor]: Taking taylor expansion of x.im in x.im 0.178 * [taylor]: Taking taylor expansion of x.re in x.im 0.178 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.178 * [taylor]: Taking taylor expansion of -1 in x.re 0.178 * [taylor]: Taking taylor expansion of x.re in x.re 0.179 * [taylor]: Taking taylor expansion of 0 in x.re 0.181 * [taylor]: Taking taylor expansion of 0 in x.re 0.183 * [taylor]: Taking taylor expansion of 0 in x.re 0.183 * * * [progress]: simplifying candidates 0.184 * [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) 0.187 * * [simplify]: iteration 0 : 151 enodes (cost 179 ) 0.191 * * [simplify]: iteration 1 : 581 enodes (cost 143 ) 0.204 * * [simplify]: iteration 2 : 3219 enodes (cost 143 ) 0.269 * * [simplify]: iteration 3 : 5001 enodes (cost 142 ) 0.270 * [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)) 0.270 * * * [progress]: adding candidates to table 0.320 * * [progress]: iteration 2 / 4 0.320 * * * [progress]: picking best candidate 0.329 * * * * [pick]: Picked # 0.329 * * * [progress]: localizing error 0.336 * * * [progress]: generating rewritten candidates 0.336 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.344 * * * [progress]: generating series expansions 0.344 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.344 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.344 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.344 * [taylor]: Taking taylor expansion of 3 in x.re 0.344 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.344 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.344 * [taylor]: Taking taylor expansion of x.im in x.re 0.344 * [taylor]: Taking taylor expansion of x.re in x.re 0.344 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.344 * [taylor]: Taking taylor expansion of 3 in x.im 0.344 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.344 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.344 * [taylor]: Taking taylor expansion of x.im in x.im 0.344 * [taylor]: Taking taylor expansion of x.re in x.im 0.344 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.344 * [taylor]: Taking taylor expansion of 3 in x.im 0.344 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.344 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.344 * [taylor]: Taking taylor expansion of x.im in x.im 0.344 * [taylor]: Taking taylor expansion of x.re in x.im 0.345 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.345 * [taylor]: Taking taylor expansion of 3 in x.re 0.345 * [taylor]: Taking taylor expansion of x.re in x.re 0.346 * [taylor]: Taking taylor expansion of 0 in x.re 0.348 * [taylor]: Taking taylor expansion of 0 in x.re 0.350 * [taylor]: Taking taylor expansion of 0 in x.re 0.350 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.350 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.350 * [taylor]: Taking taylor expansion of 3 in x.re 0.350 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.350 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.350 * [taylor]: Taking taylor expansion of x.im in x.re 0.351 * [taylor]: Taking taylor expansion of x.re in x.re 0.351 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.351 * [taylor]: Taking taylor expansion of 3 in x.im 0.351 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.351 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.351 * [taylor]: Taking taylor expansion of x.im in x.im 0.351 * [taylor]: Taking taylor expansion of x.re in x.im 0.351 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.351 * [taylor]: Taking taylor expansion of 3 in x.im 0.351 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.351 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.351 * [taylor]: Taking taylor expansion of x.im in x.im 0.351 * [taylor]: Taking taylor expansion of x.re in x.im 0.352 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.352 * [taylor]: Taking taylor expansion of 3 in x.re 0.352 * [taylor]: Taking taylor expansion of x.re in x.re 0.353 * [taylor]: Taking taylor expansion of 0 in x.re 0.354 * [taylor]: Taking taylor expansion of 0 in x.re 0.356 * [taylor]: Taking taylor expansion of 0 in x.re 0.357 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.357 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.357 * [taylor]: Taking taylor expansion of -3 in x.re 0.357 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.357 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.357 * [taylor]: Taking taylor expansion of x.im in x.re 0.357 * [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 0.359 * [taylor]: Taking taylor expansion of -3 in x.re 0.359 * [taylor]: Taking taylor expansion of x.re in x.re 0.360 * [taylor]: Taking taylor expansion of 0 in x.re 0.361 * [taylor]: Taking taylor expansion of 0 in x.re 0.363 * [taylor]: Taking taylor expansion of 0 in x.re 0.364 * * * [progress]: simplifying candidates 0.364 * [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)) 0.370 * * [simplify]: iteration 0 : 135 enodes (cost 118 ) 0.373 * * [simplify]: iteration 1 : 621 enodes (cost 90 ) 0.389 * * [simplify]: iteration 2 : 3862 enodes (cost 90 ) 0.474 * * [simplify]: iteration 3 : 5001 enodes (cost 90 ) 0.475 * [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)) 0.475 * * * [progress]: adding candidates to table 0.495 * * [progress]: iteration 3 / 4 0.495 * * * [progress]: picking best candidate 0.500 * * * * [pick]: Picked # 0.500 * * * [progress]: localizing error 0.507 * * * [progress]: generating rewritten candidates 0.507 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.512 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.520 * * * [progress]: generating series expansions 0.520 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.520 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.520 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.520 * [taylor]: Taking taylor expansion of 3 in x.re 0.520 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.520 * [taylor]: Taking taylor expansion of x.im in x.re 0.520 * [taylor]: Taking taylor expansion of x.re in x.re 0.520 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.520 * [taylor]: Taking taylor expansion of 3 in x.im 0.520 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.520 * [taylor]: Taking taylor expansion of x.im in x.im 0.520 * [taylor]: Taking taylor expansion of x.re in x.im 0.520 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.520 * [taylor]: Taking taylor expansion of 3 in x.im 0.520 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.520 * [taylor]: Taking taylor expansion of x.im in x.im 0.520 * [taylor]: Taking taylor expansion of x.re in x.im 0.521 * [taylor]: Taking taylor expansion of 0 in x.re 0.521 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.521 * [taylor]: Taking taylor expansion of 3 in x.re 0.521 * [taylor]: Taking taylor expansion of x.re in x.re 0.522 * [taylor]: Taking taylor expansion of 0 in x.re 0.524 * [taylor]: Taking taylor expansion of 0 in x.re 0.527 * [taylor]: Taking taylor expansion of 0 in x.re 0.527 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.527 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.527 * [taylor]: Taking taylor expansion of 3 in x.re 0.527 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.527 * [taylor]: Taking taylor expansion of x.im in x.re 0.527 * [taylor]: Taking taylor expansion of x.re in x.re 0.527 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.527 * [taylor]: Taking taylor expansion of 3 in x.im 0.527 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.528 * [taylor]: Taking taylor expansion of x.im in x.im 0.528 * [taylor]: Taking taylor expansion of x.re in x.im 0.528 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.528 * [taylor]: Taking taylor expansion of 3 in x.im 0.528 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.528 * [taylor]: Taking taylor expansion of x.im in x.im 0.528 * [taylor]: Taking taylor expansion of x.re in x.im 0.528 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.528 * [taylor]: Taking taylor expansion of 3 in x.re 0.528 * [taylor]: Taking taylor expansion of x.re in x.re 0.529 * [taylor]: Taking taylor expansion of 0 in x.re 0.530 * [taylor]: Taking taylor expansion of 0 in x.re 0.532 * [taylor]: Taking taylor expansion of 0 in x.re 0.533 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.533 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.533 * [taylor]: Taking taylor expansion of 3 in x.re 0.533 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.533 * [taylor]: Taking taylor expansion of x.im in x.re 0.533 * [taylor]: Taking taylor expansion of x.re in x.re 0.533 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.533 * [taylor]: Taking taylor expansion of 3 in x.im 0.533 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.533 * [taylor]: Taking taylor expansion of x.im in x.im 0.533 * [taylor]: Taking taylor expansion of x.re in x.im 0.533 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.534 * [taylor]: Taking taylor expansion of 3 in x.im 0.534 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.534 * [taylor]: Taking taylor expansion of x.im in x.im 0.534 * [taylor]: Taking taylor expansion of x.re in x.im 0.534 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.534 * [taylor]: Taking taylor expansion of 3 in x.re 0.534 * [taylor]: Taking taylor expansion of x.re in x.re 0.535 * [taylor]: Taking taylor expansion of 0 in x.re 0.536 * [taylor]: Taking taylor expansion of 0 in x.re 0.538 * [taylor]: Taking taylor expansion of 0 in x.re 0.538 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.538 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.538 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.539 * [taylor]: Taking taylor expansion of 3 in x.re 0.539 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.539 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.539 * [taylor]: Taking taylor expansion of x.im in x.re 0.539 * [taylor]: Taking taylor expansion of x.re in x.re 0.539 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.539 * [taylor]: Taking taylor expansion of 3 in x.im 0.539 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.539 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.539 * [taylor]: Taking taylor expansion of x.im in x.im 0.539 * [taylor]: Taking taylor expansion of x.re in x.im 0.539 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.539 * [taylor]: Taking taylor expansion of 3 in x.im 0.539 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.539 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.539 * [taylor]: Taking taylor expansion of x.im in x.im 0.539 * [taylor]: Taking taylor expansion of x.re in x.im 0.539 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.539 * [taylor]: Taking taylor expansion of 3 in x.re 0.539 * [taylor]: Taking taylor expansion of x.re in x.re 0.540 * [taylor]: Taking taylor expansion of 0 in x.re 0.542 * [taylor]: Taking taylor expansion of 0 in x.re 0.545 * [taylor]: Taking taylor expansion of 0 in x.re 0.545 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.545 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.545 * [taylor]: Taking taylor expansion of 3 in x.re 0.545 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.545 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.545 * [taylor]: Taking taylor expansion of x.im in x.re 0.545 * [taylor]: Taking taylor expansion of x.re in x.re 0.546 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.546 * [taylor]: Taking taylor expansion of 3 in x.im 0.546 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.546 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.546 * [taylor]: Taking taylor expansion of x.im in x.im 0.546 * [taylor]: Taking taylor expansion of x.re in x.im 0.546 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.546 * [taylor]: Taking taylor expansion of 3 in x.im 0.546 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.546 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.546 * [taylor]: Taking taylor expansion of x.im in x.im 0.546 * [taylor]: Taking taylor expansion of x.re in x.im 0.547 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.547 * [taylor]: Taking taylor expansion of 3 in x.re 0.547 * [taylor]: Taking taylor expansion of x.re in x.re 0.550 * [taylor]: Taking taylor expansion of 0 in x.re 0.552 * [taylor]: Taking taylor expansion of 0 in x.re 0.554 * [taylor]: Taking taylor expansion of 0 in x.re 0.554 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.554 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.554 * [taylor]: Taking taylor expansion of -3 in x.re 0.555 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.555 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.555 * [taylor]: Taking taylor expansion of x.im in x.re 0.555 * [taylor]: Taking taylor expansion of x.re in x.re 0.555 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.555 * [taylor]: Taking taylor expansion of -3 in x.im 0.555 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.555 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.555 * [taylor]: Taking taylor expansion of x.im in x.im 0.555 * [taylor]: Taking taylor expansion of x.re in x.im 0.555 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.555 * [taylor]: Taking taylor expansion of -3 in x.im 0.555 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.556 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.556 * [taylor]: Taking taylor expansion of x.im in x.im 0.556 * [taylor]: Taking taylor expansion of x.re in x.im 0.556 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.556 * [taylor]: Taking taylor expansion of -3 in x.re 0.556 * [taylor]: Taking taylor expansion of x.re in x.re 0.557 * [taylor]: Taking taylor expansion of 0 in x.re 0.558 * [taylor]: Taking taylor expansion of 0 in x.re 0.560 * [taylor]: Taking taylor expansion of 0 in x.re 0.561 * * * [progress]: simplifying candidates 0.562 * [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)) 0.565 * * [simplify]: iteration 0 : 172 enodes (cost 179 ) 0.570 * * [simplify]: iteration 1 : 998 enodes (cost 145 ) 0.595 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.597 * [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) 0.597 * * * [progress]: adding candidates to table 0.640 * * [progress]: iteration 4 / 4 0.640 * * * [progress]: picking best candidate 0.648 * * * * [pick]: Picked # 0.648 * * * [progress]: localizing error 0.655 * * * [progress]: generating rewritten candidates 0.655 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.659 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.666 * * * [progress]: generating series expansions 0.666 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.667 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.667 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.667 * [taylor]: Taking taylor expansion of 3 in x.re 0.667 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.667 * [taylor]: Taking taylor expansion of x.im in x.re 0.667 * [taylor]: Taking taylor expansion of x.re in x.re 0.667 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.667 * [taylor]: Taking taylor expansion of 3 in x.im 0.667 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.667 * [taylor]: Taking taylor expansion of x.im in x.im 0.667 * [taylor]: Taking taylor expansion of x.re in x.im 0.667 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.667 * [taylor]: Taking taylor expansion of 3 in x.im 0.667 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.667 * [taylor]: Taking taylor expansion of x.im in x.im 0.667 * [taylor]: Taking taylor expansion of x.re in x.im 0.667 * [taylor]: Taking taylor expansion of 0 in x.re 0.668 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.668 * [taylor]: Taking taylor expansion of 3 in x.re 0.668 * [taylor]: Taking taylor expansion of x.re in x.re 0.669 * [taylor]: Taking taylor expansion of 0 in x.re 0.671 * [taylor]: Taking taylor expansion of 0 in x.re 0.673 * [taylor]: Taking taylor expansion of 0 in x.re 0.674 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.674 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.674 * [taylor]: Taking taylor expansion of 3 in x.re 0.674 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.674 * [taylor]: Taking taylor expansion of x.im in x.re 0.674 * [taylor]: Taking taylor expansion of x.re in x.re 0.674 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.674 * [taylor]: Taking taylor expansion of 3 in x.im 0.674 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.674 * [taylor]: Taking taylor expansion of x.im in x.im 0.674 * [taylor]: Taking taylor expansion of x.re in x.im 0.674 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.674 * [taylor]: Taking taylor expansion of 3 in x.im 0.674 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.674 * [taylor]: Taking taylor expansion of x.im in x.im 0.674 * [taylor]: Taking taylor expansion of x.re in x.im 0.675 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.675 * [taylor]: Taking taylor expansion of 3 in x.re 0.675 * [taylor]: Taking taylor expansion of x.re in x.re 0.676 * [taylor]: Taking taylor expansion of 0 in x.re 0.677 * [taylor]: Taking taylor expansion of 0 in x.re 0.678 * [taylor]: Taking taylor expansion of 0 in x.re 0.679 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.679 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.679 * [taylor]: Taking taylor expansion of 3 in x.re 0.679 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.679 * [taylor]: Taking taylor expansion of x.im in x.re 0.679 * [taylor]: Taking taylor expansion of x.re in x.re 0.680 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.680 * [taylor]: Taking taylor expansion of 3 in x.im 0.680 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.680 * [taylor]: Taking taylor expansion of x.im in x.im 0.680 * [taylor]: Taking taylor expansion of x.re in x.im 0.680 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.680 * [taylor]: Taking taylor expansion of 3 in x.im 0.680 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.680 * [taylor]: Taking taylor expansion of x.im in x.im 0.680 * [taylor]: Taking taylor expansion of x.re in x.im 0.680 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.680 * [taylor]: Taking taylor expansion of 3 in x.re 0.680 * [taylor]: Taking taylor expansion of x.re in x.re 0.681 * [taylor]: Taking taylor expansion of 0 in x.re 0.683 * [taylor]: Taking taylor expansion of 0 in x.re 0.684 * [taylor]: Taking taylor expansion of 0 in x.re 0.685 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.685 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.685 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.685 * [taylor]: Taking taylor expansion of 3 in x.re 0.685 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.685 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.685 * [taylor]: Taking taylor expansion of x.im in x.re 0.685 * [taylor]: Taking taylor expansion of x.re in x.re 0.685 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.685 * [taylor]: Taking taylor expansion of 3 in x.im 0.685 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.685 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.685 * [taylor]: Taking taylor expansion of x.im in x.im 0.685 * [taylor]: Taking taylor expansion of x.re in x.im 0.685 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.685 * [taylor]: Taking taylor expansion of 3 in x.im 0.685 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.685 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.685 * [taylor]: Taking taylor expansion of x.im in x.im 0.685 * [taylor]: Taking taylor expansion of x.re in x.im 0.686 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.686 * [taylor]: Taking taylor expansion of 3 in x.re 0.686 * [taylor]: Taking taylor expansion of x.re in x.re 0.687 * [taylor]: Taking taylor expansion of 0 in x.re 0.689 * [taylor]: Taking taylor expansion of 0 in x.re 0.691 * [taylor]: Taking taylor expansion of 0 in x.re 0.692 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.692 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.692 * [taylor]: Taking taylor expansion of 3 in x.re 0.692 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.692 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.692 * [taylor]: Taking taylor expansion of x.im in x.re 0.692 * [taylor]: Taking taylor expansion of x.re in x.re 0.692 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.692 * [taylor]: Taking taylor expansion of 3 in x.im 0.692 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.692 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.692 * [taylor]: Taking taylor expansion of x.im in x.im 0.692 * [taylor]: Taking taylor expansion of x.re in x.im 0.693 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.693 * [taylor]: Taking taylor expansion of 3 in x.im 0.693 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.693 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.693 * [taylor]: Taking taylor expansion of x.im in x.im 0.693 * [taylor]: Taking taylor expansion of x.re in x.im 0.693 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.693 * [taylor]: Taking taylor expansion of 3 in x.re 0.693 * [taylor]: Taking taylor expansion of x.re in x.re 0.694 * [taylor]: Taking taylor expansion of 0 in x.re 0.695 * [taylor]: Taking taylor expansion of 0 in x.re 0.697 * [taylor]: Taking taylor expansion of 0 in x.re 0.698 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.698 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.698 * [taylor]: Taking taylor expansion of -3 in x.re 0.698 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.698 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.698 * [taylor]: Taking taylor expansion of x.im in x.re 0.698 * [taylor]: Taking taylor expansion of x.re in x.re 0.699 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.699 * [taylor]: Taking taylor expansion of -3 in x.im 0.699 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.699 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.699 * [taylor]: Taking taylor expansion of x.im in x.im 0.699 * [taylor]: Taking taylor expansion of x.re in x.im 0.699 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.699 * [taylor]: Taking taylor expansion of -3 in x.im 0.699 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.699 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.699 * [taylor]: Taking taylor expansion of x.im in x.im 0.699 * [taylor]: Taking taylor expansion of x.re in x.im 0.700 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.700 * [taylor]: Taking taylor expansion of -3 in x.re 0.700 * [taylor]: Taking taylor expansion of x.re in x.re 0.701 * [taylor]: Taking taylor expansion of 0 in x.re 0.702 * [taylor]: Taking taylor expansion of 0 in x.re 0.704 * [taylor]: Taking taylor expansion of 0 in x.re 0.705 * * * [progress]: simplifying candidates 0.705 * [simplify]: Simplifying using # : (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (+ (log 3) (+ (log x.im) (log x.re))) (+ (log 3) (log (* x.im 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 3) 3) (* (* (* x.im x.re) (* x.im x.re)) (* x.im 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 3) (* x.im x.re)) (* (sqrt 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) (+ (+ (log 3) (+ (log x.im) (log x.re))) (log x.im)) (+ (+ (log 3) (log (* x.im 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 3) 3) (* (* (* x.im x.re) (* x.im x.re)) (* x.im 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.im 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)) 0.709 * * [simplify]: iteration 0 : 167 enodes (cost 177 ) 0.713 * * [simplify]: iteration 1 : 817 enodes (cost 145 ) 0.737 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.738 * [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 3) (* x.im x.re)) (* (sqrt 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) (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) x.im) (* 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) 0.738 * * * [progress]: adding candidates to table 0.781 * [progress]: [Phase 3 of 3] Extracting. 0.781 * * [regime]: Finding splitpoints for: (# # # # # #) 0.782 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 0.782 * * * * [regimes]: Trying to branch on x.im from (# # # # # #) 0.801 * * * * [regimes]: Trying to branch on x.re from (# # # # # #) 0.824 * * * [regime]: Found split indices: #