3.399 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.040 * * [simplify]: iteration 0 : 21 enodes (cost 9 ) 0.041 * * [simplify]: iteration 1 : 55 enodes (cost 9 ) 0.043 * * [simplify]: iteration 2 : 150 enodes (cost 9 ) 0.046 * * [simplify]: iteration 3 : 401 enodes (cost 6 ) 0.054 * * [simplify]: iteration 4 : 1088 enodes (cost 5 ) 0.073 * * [simplify]: iteration 5 : 2704 enodes (cost 5 ) 0.122 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.123 * [simplify]: Simplified to: (- (pow x.re 3) (* 3 (* x.im (* x.re x.im)))) 0.127 * * [progress]: iteration 1 / 4 0.127 * * * [progress]: picking best candidate 0.133 * * * * [pick]: Picked # 0.134 * * * [progress]: localizing error 0.140 * * * [progress]: generating rewritten candidates 0.141 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.147 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.152 * * * [progress]: generating series expansions 0.153 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.153 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.153 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.153 * [taylor]: Taking taylor expansion of 3 in x.re 0.153 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.153 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.153 * [taylor]: Taking taylor expansion of x.im in x.re 0.153 * [taylor]: Taking taylor expansion of x.re in x.re 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 (* (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 0.154 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.154 * [taylor]: Taking taylor expansion of 3 in x.re 0.154 * [taylor]: Taking taylor expansion of x.re in x.re 0.155 * [taylor]: Taking taylor expansion of 0 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 0.159 * [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 0.160 * [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 (* (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 0.161 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.161 * [taylor]: Taking taylor expansion of 3 in x.re 0.161 * [taylor]: Taking taylor expansion of x.re in x.re 0.162 * [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 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.166 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.166 * [taylor]: Taking taylor expansion of -3 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 0.167 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.167 * [taylor]: Taking taylor expansion of -3 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 (/ -3 (* (pow x.im 2) x.re)) in x.im 0.167 * [taylor]: Taking taylor expansion of -3 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 (/ -3 x.re) in x.re 0.167 * [taylor]: Taking taylor expansion of -3 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 0.173 * [taylor]: Taking taylor expansion of 0 in x.re 0.175 * [taylor]: Taking taylor expansion of 0 in x.re 0.176 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.176 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.im x.re) around 0 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 0.176 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.176 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.176 * [taylor]: Taking taylor expansion of x.im in x.im 0.176 * [taylor]: Taking taylor expansion of x.re in x.im 0.176 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.176 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.176 * [taylor]: Taking taylor expansion of x.im in x.im 0.176 * [taylor]: Taking taylor expansion of x.re in x.im 0.177 * [taylor]: Taking taylor expansion of x.re in x.re 0.177 * [taylor]: Taking taylor expansion of 0 in x.re 0.178 * [taylor]: Taking taylor expansion of 0 in x.re 0.179 * [taylor]: Taking taylor expansion of 0 in x.re 0.180 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.180 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.180 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.180 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.180 * [taylor]: Taking taylor expansion of x.im in x.re 0.180 * [taylor]: Taking taylor expansion of x.re in x.re 0.180 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.180 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.180 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.180 * [taylor]: Taking taylor expansion of x.im in x.im 0.180 * [taylor]: Taking taylor expansion of x.re in x.im 0.181 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.181 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.181 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.181 * [taylor]: Taking taylor expansion of x.im in x.im 0.181 * [taylor]: Taking taylor expansion of x.re in x.im 0.181 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.181 * [taylor]: Taking taylor expansion of x.re in x.re 0.182 * [taylor]: Taking taylor expansion of 0 in x.re 0.184 * [taylor]: Taking taylor expansion of 0 in x.re 0.185 * [taylor]: Taking taylor expansion of 0 in x.re 0.186 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.186 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.186 * [taylor]: Taking taylor expansion of -1 in x.re 0.186 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.186 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.186 * [taylor]: Taking taylor expansion of x.im in x.re 0.186 * [taylor]: Taking taylor expansion of x.re in x.re 0.187 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.187 * [taylor]: Taking taylor expansion of -1 in x.im 0.187 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.187 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.187 * [taylor]: Taking taylor expansion of x.im in x.im 0.187 * [taylor]: Taking taylor expansion of x.re in x.im 0.187 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.187 * [taylor]: Taking taylor expansion of -1 in x.im 0.187 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.187 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.187 * [taylor]: Taking taylor expansion of x.im in x.im 0.187 * [taylor]: Taking taylor expansion of x.re in x.im 0.188 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.188 * [taylor]: Taking taylor expansion of -1 in x.re 0.188 * [taylor]: Taking taylor expansion of x.re in x.re 0.189 * [taylor]: Taking taylor expansion of 0 in x.re 0.190 * [taylor]: Taking taylor expansion of 0 in x.re 0.192 * [taylor]: Taking taylor expansion of 0 in x.re 0.193 * * * [progress]: simplifying candidates 0.193 * [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) 0.196 * * [simplify]: iteration 0 : 151 enodes (cost 179 ) 0.199 * * [simplify]: iteration 1 : 581 enodes (cost 143 ) 0.213 * * [simplify]: iteration 2 : 3219 enodes (cost 143 ) 0.279 * * [simplify]: iteration 3 : 5001 enodes (cost 142 ) 0.280 * [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)) 0.280 * * * [progress]: adding candidates to table 0.363 * * [progress]: iteration 2 / 4 0.363 * * * [progress]: picking best candidate 0.393 * * * * [pick]: Picked # 0.393 * * * [progress]: localizing error 0.400 * * * [progress]: generating rewritten candidates 0.400 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.407 * * * [progress]: generating series expansions 0.407 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.407 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.407 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.407 * [taylor]: Taking taylor expansion of 3 in x.re 0.407 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.407 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.407 * [taylor]: Taking taylor expansion of x.im in x.re 0.407 * [taylor]: Taking taylor expansion of x.re in x.re 0.408 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.408 * [taylor]: Taking taylor expansion of 3 in x.im 0.408 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.408 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.408 * [taylor]: Taking taylor expansion of x.im in x.im 0.408 * [taylor]: Taking taylor expansion of x.re in x.im 0.408 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.408 * [taylor]: Taking taylor expansion of 3 in x.im 0.408 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.408 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.408 * [taylor]: Taking taylor expansion of x.im in x.im 0.408 * [taylor]: Taking taylor expansion of x.re in x.im 0.408 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.408 * [taylor]: Taking taylor expansion of 3 in x.re 0.408 * [taylor]: Taking taylor expansion of x.re in x.re 0.413 * [taylor]: Taking taylor expansion of 0 in x.re 0.415 * [taylor]: Taking taylor expansion of 0 in x.re 0.417 * [taylor]: Taking taylor expansion of 0 in x.re 0.418 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.418 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.418 * [taylor]: Taking taylor expansion of 3 in x.re 0.418 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.418 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.418 * [taylor]: Taking taylor expansion of x.im in x.re 0.418 * [taylor]: Taking taylor expansion of x.re in x.re 0.418 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.418 * [taylor]: Taking taylor expansion of 3 in x.im 0.418 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.418 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.418 * [taylor]: Taking taylor expansion of x.im in x.im 0.418 * [taylor]: Taking taylor expansion of x.re in x.im 0.419 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.419 * [taylor]: Taking taylor expansion of 3 in x.im 0.419 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.419 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.419 * [taylor]: Taking taylor expansion of x.im in x.im 0.419 * [taylor]: Taking taylor expansion of x.re in x.im 0.419 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.419 * [taylor]: Taking taylor expansion of 3 in x.re 0.419 * [taylor]: Taking taylor expansion of x.re in x.re 0.420 * [taylor]: Taking taylor expansion of 0 in x.re 0.422 * [taylor]: Taking taylor expansion of 0 in x.re 0.424 * [taylor]: Taking taylor expansion of 0 in x.re 0.425 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.425 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.425 * [taylor]: Taking taylor expansion of -3 in x.re 0.425 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.425 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.425 * [taylor]: Taking taylor expansion of x.im in x.re 0.425 * [taylor]: Taking taylor expansion of x.re in x.re 0.425 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.425 * [taylor]: Taking taylor expansion of -3 in x.im 0.425 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.425 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.425 * [taylor]: Taking taylor expansion of x.im in x.im 0.425 * [taylor]: Taking taylor expansion of x.re in x.im 0.426 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.426 * [taylor]: Taking taylor expansion of -3 in x.im 0.426 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.426 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.426 * [taylor]: Taking taylor expansion of x.im in x.im 0.426 * [taylor]: Taking taylor expansion of x.re in x.im 0.426 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.426 * [taylor]: Taking taylor expansion of -3 in x.re 0.426 * [taylor]: Taking taylor expansion of x.re in x.re 0.427 * [taylor]: Taking taylor expansion of 0 in x.re 0.428 * [taylor]: Taking taylor expansion of 0 in x.re 0.430 * [taylor]: Taking taylor expansion of 0 in x.re 0.431 * * * [progress]: simplifying candidates 0.432 * [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)) 0.435 * * [simplify]: iteration 0 : 135 enodes (cost 118 ) 0.438 * * [simplify]: iteration 1 : 621 enodes (cost 90 ) 0.455 * * [simplify]: iteration 2 : 3862 enodes (cost 90 ) 0.541 * * [simplify]: iteration 3 : 5001 enodes (cost 90 ) 0.541 * [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)) 0.542 * * * [progress]: adding candidates to table 0.577 * * [progress]: iteration 3 / 4 0.577 * * * [progress]: picking best candidate 0.599 * * * * [pick]: Picked # 0.599 * * * [progress]: localizing error 0.606 * * * [progress]: generating rewritten candidates 0.606 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.611 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.618 * * * [progress]: generating series expansions 0.618 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.618 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.618 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.618 * [taylor]: Taking taylor expansion of 3 in x.re 0.618 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.618 * [taylor]: Taking taylor expansion of x.im in x.re 0.618 * [taylor]: Taking taylor expansion of x.re in x.re 0.618 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.618 * [taylor]: Taking taylor expansion of 3 in x.im 0.618 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.618 * [taylor]: Taking taylor expansion of x.im in x.im 0.619 * [taylor]: Taking taylor expansion of x.re in x.im 0.619 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.619 * [taylor]: Taking taylor expansion of 3 in x.im 0.619 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.619 * [taylor]: Taking taylor expansion of x.im in x.im 0.619 * [taylor]: Taking taylor expansion of x.re in x.im 0.619 * [taylor]: Taking taylor expansion of 0 in x.re 0.620 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.620 * [taylor]: Taking taylor expansion of 3 in x.re 0.620 * [taylor]: Taking taylor expansion of x.re in x.re 0.621 * [taylor]: Taking taylor expansion of 0 in x.re 0.623 * [taylor]: Taking taylor expansion of 0 in x.re 0.625 * [taylor]: Taking taylor expansion of 0 in x.re 0.626 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.626 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.626 * [taylor]: Taking taylor expansion of 3 in x.re 0.626 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.626 * [taylor]: Taking taylor expansion of x.im in x.re 0.626 * [taylor]: Taking taylor expansion of x.re in x.re 0.626 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.626 * [taylor]: Taking taylor expansion of 3 in x.im 0.626 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.626 * [taylor]: Taking taylor expansion of x.im in x.im 0.626 * [taylor]: Taking taylor expansion of x.re in x.im 0.626 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.626 * [taylor]: Taking taylor expansion of 3 in x.im 0.626 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.626 * [taylor]: Taking taylor expansion of x.im in x.im 0.626 * [taylor]: Taking taylor expansion of x.re in x.im 0.627 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.627 * [taylor]: Taking taylor expansion of 3 in x.re 0.627 * [taylor]: Taking taylor expansion of x.re in x.re 0.628 * [taylor]: Taking taylor expansion of 0 in x.re 0.629 * [taylor]: Taking taylor expansion of 0 in x.re 0.631 * [taylor]: Taking taylor expansion of 0 in x.re 0.631 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.631 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.631 * [taylor]: Taking taylor expansion of 3 in x.re 0.631 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.631 * [taylor]: Taking taylor expansion of x.im in x.re 0.631 * [taylor]: Taking taylor expansion of x.re in x.re 0.632 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.632 * [taylor]: Taking taylor expansion of 3 in x.im 0.632 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.632 * [taylor]: Taking taylor expansion of x.im in x.im 0.632 * [taylor]: Taking taylor expansion of x.re in x.im 0.632 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.632 * [taylor]: Taking taylor expansion of 3 in x.im 0.632 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.632 * [taylor]: Taking taylor expansion of x.im in x.im 0.632 * [taylor]: Taking taylor expansion of x.re in x.im 0.632 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.632 * [taylor]: Taking taylor expansion of 3 in x.re 0.632 * [taylor]: Taking taylor expansion of x.re in x.re 0.633 * [taylor]: Taking taylor expansion of 0 in x.re 0.634 * [taylor]: Taking taylor expansion of 0 in x.re 0.636 * [taylor]: Taking taylor expansion of 0 in x.re 0.637 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.637 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.637 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.637 * [taylor]: Taking taylor expansion of 3 in x.re 0.637 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.637 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.637 * [taylor]: Taking taylor expansion of x.im in x.re 0.637 * [taylor]: Taking taylor expansion of x.re in x.re 0.637 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.637 * [taylor]: Taking taylor expansion of 3 in x.im 0.637 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.637 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.637 * [taylor]: Taking taylor expansion of x.im in x.im 0.637 * [taylor]: Taking taylor expansion of x.re in x.im 0.637 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.637 * [taylor]: Taking taylor expansion of 3 in x.im 0.637 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.637 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.637 * [taylor]: Taking taylor expansion of x.im in x.im 0.637 * [taylor]: Taking taylor expansion of x.re in x.im 0.637 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.637 * [taylor]: Taking taylor expansion of 3 in x.re 0.637 * [taylor]: Taking taylor expansion of x.re in x.re 0.639 * [taylor]: Taking taylor expansion of 0 in x.re 0.640 * [taylor]: Taking taylor expansion of 0 in x.re 0.643 * [taylor]: Taking taylor expansion of 0 in x.re 0.643 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.643 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.643 * [taylor]: Taking taylor expansion of 3 in x.re 0.643 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.643 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.643 * [taylor]: Taking taylor expansion of x.im in x.re 0.643 * [taylor]: Taking taylor expansion of x.re in x.re 0.644 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.644 * [taylor]: Taking taylor expansion of 3 in x.im 0.644 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.644 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.644 * [taylor]: Taking taylor expansion of x.im in x.im 0.644 * [taylor]: Taking taylor expansion of x.re in x.im 0.644 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.644 * [taylor]: Taking taylor expansion of 3 in x.im 0.644 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.644 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.644 * [taylor]: Taking taylor expansion of x.im in x.im 0.644 * [taylor]: Taking taylor expansion of x.re in x.im 0.645 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.645 * [taylor]: Taking taylor expansion of 3 in x.re 0.645 * [taylor]: Taking taylor expansion of x.re in x.re 0.646 * [taylor]: Taking taylor expansion of 0 in x.re 0.647 * [taylor]: Taking taylor expansion of 0 in x.re 0.649 * [taylor]: Taking taylor expansion of 0 in x.re 0.650 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.650 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.650 * [taylor]: Taking taylor expansion of -3 in x.re 0.650 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.650 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.650 * [taylor]: Taking taylor expansion of x.im in x.re 0.650 * [taylor]: Taking taylor expansion of x.re in x.re 0.650 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.650 * [taylor]: Taking taylor expansion of -3 in x.im 0.650 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.650 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.650 * [taylor]: Taking taylor expansion of x.im in x.im 0.651 * [taylor]: Taking taylor expansion of x.re in x.im 0.651 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.651 * [taylor]: Taking taylor expansion of -3 in x.im 0.651 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.651 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.651 * [taylor]: Taking taylor expansion of x.im in x.im 0.651 * [taylor]: Taking taylor expansion of x.re in x.im 0.651 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.651 * [taylor]: Taking taylor expansion of -3 in x.re 0.651 * [taylor]: Taking taylor expansion of x.re in x.re 0.652 * [taylor]: Taking taylor expansion of 0 in x.re 0.654 * [taylor]: Taking taylor expansion of 0 in x.re 0.656 * [taylor]: Taking taylor expansion of 0 in x.re 0.656 * * * [progress]: simplifying candidates 0.657 * [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)) 0.660 * * [simplify]: iteration 0 : 172 enodes (cost 179 ) 0.664 * * [simplify]: iteration 1 : 998 enodes (cost 145 ) 0.689 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.691 * [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) 0.691 * * * [progress]: adding candidates to table 0.772 * * [progress]: iteration 4 / 4 0.772 * * * [progress]: picking best candidate 0.800 * * * * [pick]: Picked # 0.800 * * * [progress]: localizing error 0.807 * * * [progress]: generating rewritten candidates 0.807 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.812 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.819 * * * [progress]: generating series expansions 0.819 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.819 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.819 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.819 * [taylor]: Taking taylor expansion of 3 in x.re 0.819 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.819 * [taylor]: Taking taylor expansion of x.im in x.re 0.819 * [taylor]: Taking taylor expansion of x.re in x.re 0.819 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.819 * [taylor]: Taking taylor expansion of 3 in x.im 0.819 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.819 * [taylor]: Taking taylor expansion of x.im in x.im 0.819 * [taylor]: Taking taylor expansion of x.re in x.im 0.819 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.819 * [taylor]: Taking taylor expansion of 3 in x.im 0.819 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.819 * [taylor]: Taking taylor expansion of x.im in x.im 0.819 * [taylor]: Taking taylor expansion of x.re in x.im 0.820 * [taylor]: Taking taylor expansion of 0 in x.re 0.820 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.820 * [taylor]: Taking taylor expansion of 3 in x.re 0.820 * [taylor]: Taking taylor expansion of x.re in x.re 0.822 * [taylor]: Taking taylor expansion of 0 in x.re 0.823 * [taylor]: Taking taylor expansion of 0 in x.re 0.826 * [taylor]: Taking taylor expansion of 0 in x.re 0.826 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.826 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.826 * [taylor]: Taking taylor expansion of 3 in x.re 0.826 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.826 * [taylor]: Taking taylor expansion of x.im in x.re 0.826 * [taylor]: Taking taylor expansion of x.re in x.re 0.827 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.827 * [taylor]: Taking taylor expansion of 3 in x.im 0.827 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.827 * [taylor]: Taking taylor expansion of x.im in x.im 0.827 * [taylor]: Taking taylor expansion of x.re in x.im 0.827 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.827 * [taylor]: Taking taylor expansion of 3 in x.im 0.827 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.827 * [taylor]: Taking taylor expansion of x.im in x.im 0.827 * [taylor]: Taking taylor expansion of x.re in x.im 0.827 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.827 * [taylor]: Taking taylor expansion of 3 in x.re 0.827 * [taylor]: Taking taylor expansion of x.re in x.re 0.828 * [taylor]: Taking taylor expansion of 0 in x.re 0.830 * [taylor]: Taking taylor expansion of 0 in x.re 0.831 * [taylor]: Taking taylor expansion of 0 in x.re 0.832 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.832 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.832 * [taylor]: Taking taylor expansion of 3 in x.re 0.832 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.832 * [taylor]: Taking taylor expansion of x.im in x.re 0.832 * [taylor]: Taking taylor expansion of x.re in x.re 0.832 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.832 * [taylor]: Taking taylor expansion of 3 in x.im 0.832 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.832 * [taylor]: Taking taylor expansion of x.im in x.im 0.832 * [taylor]: Taking taylor expansion of x.re in x.im 0.833 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.833 * [taylor]: Taking taylor expansion of 3 in x.im 0.833 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.833 * [taylor]: Taking taylor expansion of x.im in x.im 0.833 * [taylor]: Taking taylor expansion of x.re in x.im 0.833 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.833 * [taylor]: Taking taylor expansion of 3 in x.re 0.833 * [taylor]: Taking taylor expansion of x.re in x.re 0.834 * [taylor]: Taking taylor expansion of 0 in x.re 0.835 * [taylor]: Taking taylor expansion of 0 in x.re 0.837 * [taylor]: Taking taylor expansion of 0 in x.re 0.837 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.837 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.837 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.838 * [taylor]: Taking taylor expansion of 3 in x.re 0.838 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.838 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.838 * [taylor]: Taking taylor expansion of x.im in x.re 0.838 * [taylor]: Taking taylor expansion of x.re in x.re 0.838 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.838 * [taylor]: Taking taylor expansion of 3 in x.im 0.838 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.838 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.838 * [taylor]: Taking taylor expansion of x.im in x.im 0.838 * [taylor]: Taking taylor expansion of x.re in x.im 0.838 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.838 * [taylor]: Taking taylor expansion of 3 in x.im 0.838 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.838 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.838 * [taylor]: Taking taylor expansion of x.im in x.im 0.838 * [taylor]: Taking taylor expansion of x.re in x.im 0.838 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.838 * [taylor]: Taking taylor expansion of 3 in x.re 0.838 * [taylor]: Taking taylor expansion of x.re in x.re 0.839 * [taylor]: Taking taylor expansion of 0 in x.re 0.841 * [taylor]: Taking taylor expansion of 0 in x.re 0.844 * [taylor]: Taking taylor expansion of 0 in x.re 0.844 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.844 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.844 * [taylor]: Taking taylor expansion of 3 in x.re 0.844 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.844 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.844 * [taylor]: Taking taylor expansion of x.im in x.re 0.844 * [taylor]: Taking taylor expansion of x.re in x.re 0.844 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.844 * [taylor]: Taking taylor expansion of 3 in x.im 0.844 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.845 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.845 * [taylor]: Taking taylor expansion of x.im in x.im 0.845 * [taylor]: Taking taylor expansion of x.re in x.im 0.845 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.845 * [taylor]: Taking taylor expansion of 3 in x.im 0.845 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.845 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.845 * [taylor]: Taking taylor expansion of x.im in x.im 0.845 * [taylor]: Taking taylor expansion of x.re in x.im 0.845 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.845 * [taylor]: Taking taylor expansion of 3 in x.re 0.845 * [taylor]: Taking taylor expansion of x.re in x.re 0.846 * [taylor]: Taking taylor expansion of 0 in x.re 0.848 * [taylor]: Taking taylor expansion of 0 in x.re 0.850 * [taylor]: Taking taylor expansion of 0 in x.re 0.851 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.851 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.851 * [taylor]: Taking taylor expansion of -3 in x.re 0.851 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.851 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.851 * [taylor]: Taking taylor expansion of x.im in x.re 0.851 * [taylor]: Taking taylor expansion of x.re in x.re 0.851 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.851 * [taylor]: Taking taylor expansion of -3 in x.im 0.851 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.851 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.851 * [taylor]: Taking taylor expansion of x.im in x.im 0.851 * [taylor]: Taking taylor expansion of x.re in x.im 0.852 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.852 * [taylor]: Taking taylor expansion of -3 in x.im 0.852 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.852 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.852 * [taylor]: Taking taylor expansion of x.im in x.im 0.852 * [taylor]: Taking taylor expansion of x.re in x.im 0.852 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.852 * [taylor]: Taking taylor expansion of -3 in x.re 0.852 * [taylor]: Taking taylor expansion of x.re in x.re 0.853 * [taylor]: Taking taylor expansion of 0 in x.re 0.855 * [taylor]: Taking taylor expansion of 0 in x.re 0.856 * [taylor]: Taking taylor expansion of 0 in x.re 0.857 * * * [progress]: simplifying candidates 0.858 * [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)) 0.861 * * [simplify]: iteration 0 : 167 enodes (cost 177 ) 0.865 * * [simplify]: iteration 1 : 817 enodes (cost 145 ) 0.889 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.890 * [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) 0.890 * * * [progress]: adding candidates to table 0.973 * [progress]: [Phase 3 of 3] Extracting. 0.973 * * [regime]: Finding splitpoints for: (# # # # # # # #) 0.975 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 0.975 * * * * [regimes]: Trying to branch on x.im from (# # # # # # # #) 1.034 * * * * [regimes]: Trying to branch on x.re from (# # # # # # # #) 1.092 * * * [regime]: Found split indices: #