1.714 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.029 * * [simplify]: iteration 0 : 21 enodes (cost 9 ) 0.030 * * [simplify]: iteration 1 : 55 enodes (cost 9 ) 0.032 * * [simplify]: iteration 2 : 150 enodes (cost 9 ) 0.036 * * [simplify]: iteration 3 : 401 enodes (cost 6 ) 0.044 * * [simplify]: iteration 4 : 1088 enodes (cost 5 ) 0.063 * * [simplify]: iteration 5 : 2704 enodes (cost 5 ) 0.111 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.111 * [simplify]: Simplified to: (- (pow x.re 3) (* 3 (* x.im (* x.re x.im)))) 0.114 * * [progress]: iteration 1 / 4 0.114 * * * [progress]: picking best candidate 0.117 * * * * [pick]: Picked # 0.117 * * * [progress]: localizing error 0.124 * * * [progress]: generating rewritten candidates 0.124 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.131 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.137 * * * [progress]: generating series expansions 0.137 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.137 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.137 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.137 * [taylor]: Taking taylor expansion of 3 in x.re 0.137 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.137 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.137 * [taylor]: Taking taylor expansion of x.im in x.re 0.137 * [taylor]: Taking taylor expansion of x.re in x.re 0.137 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.137 * [taylor]: Taking taylor expansion of 3 in x.im 0.137 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.137 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.137 * [taylor]: Taking taylor expansion of x.im in x.im 0.137 * [taylor]: Taking taylor expansion of x.re in x.im 0.137 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.137 * [taylor]: Taking taylor expansion of 3 in x.im 0.137 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.137 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.137 * [taylor]: Taking taylor expansion of x.im in x.im 0.137 * [taylor]: Taking taylor expansion of x.re in x.im 0.138 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.138 * [taylor]: Taking taylor expansion of 3 in x.re 0.138 * [taylor]: Taking taylor expansion of x.re in x.re 0.139 * [taylor]: Taking taylor expansion of 0 in x.re 0.141 * [taylor]: Taking taylor expansion of 0 in x.re 0.143 * [taylor]: Taking taylor expansion of 0 in x.re 0.144 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.144 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.144 * [taylor]: Taking taylor expansion of 3 in x.re 0.144 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.144 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.144 * [taylor]: Taking taylor expansion of x.im in x.re 0.144 * [taylor]: Taking taylor expansion of x.re in x.re 0.144 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.144 * [taylor]: Taking taylor expansion of 3 in x.im 0.144 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.144 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.144 * [taylor]: Taking taylor expansion of x.im in x.im 0.144 * [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 0.145 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.145 * [taylor]: Taking taylor expansion of 3 in x.re 0.145 * [taylor]: Taking taylor expansion of x.re in x.re 0.146 * [taylor]: Taking taylor expansion of 0 in x.re 0.148 * [taylor]: Taking taylor expansion of 0 in x.re 0.149 * [taylor]: Taking taylor expansion of 0 in x.re 0.150 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.150 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.150 * [taylor]: Taking taylor expansion of -3 in x.re 0.150 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.150 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.150 * [taylor]: Taking taylor expansion of x.im in x.re 0.150 * [taylor]: Taking taylor expansion of x.re in x.re 0.151 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.151 * [taylor]: Taking taylor expansion of -3 in x.im 0.151 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.151 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.151 * [taylor]: Taking taylor expansion of x.im in x.im 0.151 * [taylor]: Taking taylor expansion of x.re in x.im 0.151 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.151 * [taylor]: Taking taylor expansion of -3 in x.im 0.151 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.151 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.151 * [taylor]: Taking taylor expansion of x.im in x.im 0.151 * [taylor]: Taking taylor expansion of x.re in x.im 0.152 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.152 * [taylor]: Taking taylor expansion of -3 in x.re 0.152 * [taylor]: Taking taylor expansion of x.re in x.re 0.153 * [taylor]: Taking taylor expansion of 0 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 0.157 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.157 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.im x.re) around 0 0.157 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.157 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.157 * [taylor]: Taking taylor expansion of x.im in x.re 0.157 * [taylor]: Taking taylor expansion of x.re in x.re 0.157 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.157 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.157 * [taylor]: Taking taylor expansion of x.im in x.im 0.157 * [taylor]: Taking taylor expansion of x.re in x.im 0.157 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.157 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.157 * [taylor]: Taking taylor expansion of x.im in x.im 0.157 * [taylor]: Taking taylor expansion of x.re in x.im 0.158 * [taylor]: Taking taylor expansion of x.re in x.re 0.158 * [taylor]: Taking taylor expansion of 0 in x.re 0.159 * [taylor]: Taking taylor expansion of 0 in x.re 0.161 * [taylor]: Taking taylor expansion of 0 in x.re 0.161 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.161 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.161 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.161 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.161 * [taylor]: Taking taylor expansion of x.im in x.re 0.161 * [taylor]: Taking taylor expansion of x.re in x.re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.161 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.161 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.161 * [taylor]: Taking taylor expansion of x.im in x.im 0.161 * [taylor]: Taking taylor expansion of x.re in x.im 0.162 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.162 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.162 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.162 * [taylor]: Taking taylor expansion of x.im in x.im 0.162 * [taylor]: Taking taylor expansion of x.re in x.im 0.162 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.162 * [taylor]: Taking taylor expansion of x.re 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 * [taylor]: Taking taylor expansion of 0 in x.re 0.167 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.167 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.167 * [taylor]: Taking taylor expansion of -1 in x.re 0.167 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.167 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.167 * [taylor]: Taking taylor expansion of x.im in x.re 0.167 * [taylor]: Taking taylor expansion of x.re in x.re 0.168 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.168 * [taylor]: Taking taylor expansion of -1 in x.im 0.168 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.168 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.168 * [taylor]: Taking taylor expansion of x.im in x.im 0.168 * [taylor]: Taking taylor expansion of x.re in x.im 0.168 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.168 * [taylor]: Taking taylor expansion of -1 in x.im 0.168 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.168 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.168 * [taylor]: Taking taylor expansion of x.im in x.im 0.168 * [taylor]: Taking taylor expansion of x.re in x.im 0.169 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.169 * [taylor]: Taking taylor expansion of -1 in x.re 0.169 * [taylor]: Taking taylor expansion of x.re in x.re 0.170 * [taylor]: Taking taylor expansion of 0 in x.re 0.175 * [taylor]: Taking taylor expansion of 0 in x.re 0.177 * [taylor]: Taking taylor expansion of 0 in x.re 0.178 * * * [progress]: simplifying candidates 0.179 * [simplify]: Simplifying using # : (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (+ (log 3) (+ (log x.im) (+ (log x.re) (log x.im)))) (+ (log 3) (+ (log x.im) (log (* x.re x.im)))) (+ (log 3) (log (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (exp (* 3 (* x.im (* x.re x.im)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)))) (* (* (* 3 3) 3) (* (* (* x.im (* x.re x.im)) (* x.im (* x.re x.im))) (* x.im (* x.re x.im)))) (* (cbrt (* 3 (* x.im (* x.re x.im)))) (cbrt (* 3 (* x.im (* x.re x.im))))) (cbrt (* 3 (* x.im (* x.re x.im)))) (* (* (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im)))) (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.im))) (* (sqrt 3) (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) (+ (log x.im) (+ (log x.re) (log x.im))) (+ (log x.im) (log (* x.re x.im))) (log (* x.im (* x.re x.im))) (exp (* x.im (* x.re x.im))) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* (* x.im x.im) x.im) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (cbrt (* x.im (* x.re x.im))) (cbrt (* x.im (* x.re x.im)))) (cbrt (* x.im (* x.re x.im))) (* (* (* x.im (* x.re x.im)) (* x.im (* x.re x.im))) (* x.im (* x.re x.im))) (sqrt (* x.im (* x.re x.im))) (sqrt (* x.im (* x.re x.im))) (* x.im x.re) (* (cbrt x.im) (* x.re x.im)) (* (sqrt x.im) (* x.re x.im)) (* x.im (* x.re x.im)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) 0.182 * * [simplify]: iteration 0 : 151 enodes (cost 179 ) 0.186 * * [simplify]: iteration 1 : 581 enodes (cost 143 ) 0.201 * * [simplify]: iteration 2 : 3219 enodes (cost 143 ) 0.267 * * [simplify]: iteration 3 : 5001 enodes (cost 142 ) 0.268 * [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)) 0.268 * * * [progress]: adding candidates to table 0.325 * * [progress]: iteration 2 / 4 0.325 * * * [progress]: picking best candidate 0.334 * * * * [pick]: Picked # 0.334 * * * [progress]: localizing error 0.341 * * * [progress]: generating rewritten candidates 0.341 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.348 * * * [progress]: generating series expansions 0.348 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.348 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.348 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.348 * [taylor]: Taking taylor expansion of 3 in x.re 0.348 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.348 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.348 * [taylor]: Taking taylor expansion of x.im in x.re 0.348 * [taylor]: Taking taylor expansion of x.re in x.re 0.348 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.348 * [taylor]: Taking taylor expansion of 3 in x.im 0.348 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.348 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.348 * [taylor]: Taking taylor expansion of x.im in x.im 0.348 * [taylor]: Taking taylor expansion of x.re in x.im 0.348 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.348 * [taylor]: Taking taylor expansion of 3 in x.im 0.348 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.349 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.349 * [taylor]: Taking taylor expansion of x.im in x.im 0.349 * [taylor]: Taking taylor expansion of x.re in x.im 0.349 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.349 * [taylor]: Taking taylor expansion of 3 in x.re 0.349 * [taylor]: Taking taylor expansion of x.re in x.re 0.350 * [taylor]: Taking taylor expansion of 0 in x.re 0.352 * [taylor]: Taking taylor expansion of 0 in x.re 0.355 * [taylor]: Taking taylor expansion of 0 in x.re 0.355 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.355 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.355 * [taylor]: Taking taylor expansion of 3 in x.re 0.355 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.355 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.355 * [taylor]: Taking taylor expansion of x.im in x.re 0.355 * [taylor]: Taking taylor expansion of x.re in x.re 0.356 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.356 * [taylor]: Taking taylor expansion of 3 in x.im 0.356 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.356 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.356 * [taylor]: Taking taylor expansion of x.im in x.im 0.356 * [taylor]: Taking taylor expansion of x.re in x.im 0.356 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.356 * [taylor]: Taking taylor expansion of 3 in x.im 0.356 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.356 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.356 * [taylor]: Taking taylor expansion of x.im in x.im 0.356 * [taylor]: Taking taylor expansion of x.re in x.im 0.357 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.357 * [taylor]: Taking taylor expansion of 3 in x.re 0.357 * [taylor]: Taking taylor expansion of x.re in x.re 0.358 * [taylor]: Taking taylor expansion of 0 in x.re 0.359 * [taylor]: Taking taylor expansion of 0 in x.re 0.361 * [taylor]: Taking taylor expansion of 0 in x.re 0.362 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.362 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.362 * [taylor]: Taking taylor expansion of -3 in x.re 0.362 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.362 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.362 * [taylor]: Taking taylor expansion of x.im in x.re 0.362 * [taylor]: Taking taylor expansion of x.re in x.re 0.363 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.363 * [taylor]: Taking taylor expansion of -3 in x.im 0.363 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.363 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.363 * [taylor]: Taking taylor expansion of x.im in x.im 0.363 * [taylor]: Taking taylor expansion of x.re in x.im 0.363 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.363 * [taylor]: Taking taylor expansion of -3 in x.im 0.363 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.363 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.363 * [taylor]: Taking taylor expansion of x.im in x.im 0.363 * [taylor]: Taking taylor expansion of x.re in x.im 0.364 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.364 * [taylor]: Taking taylor expansion of -3 in x.re 0.364 * [taylor]: Taking taylor expansion of x.re in x.re 0.365 * [taylor]: Taking taylor expansion of 0 in x.re 0.366 * [taylor]: Taking taylor expansion of 0 in x.re 0.368 * [taylor]: Taking taylor expansion of 0 in x.re 0.369 * * * [progress]: simplifying candidates 0.370 * [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)) 0.373 * * [simplify]: iteration 0 : 135 enodes (cost 118 ) 0.376 * * [simplify]: iteration 1 : 621 enodes (cost 90 ) 0.392 * * [simplify]: iteration 2 : 3862 enodes (cost 90 ) 0.480 * * [simplify]: iteration 3 : 5001 enodes (cost 90 ) 0.481 * [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)) 0.482 * * * [progress]: adding candidates to table 0.508 * * [progress]: iteration 3 / 4 0.508 * * * [progress]: picking best candidate 0.517 * * * * [pick]: Picked # 0.517 * * * [progress]: localizing error 0.524 * * * [progress]: generating rewritten candidates 0.524 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.529 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.537 * * * [progress]: generating series expansions 0.537 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.537 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.537 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.537 * [taylor]: Taking taylor expansion of 3 in x.re 0.537 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.537 * [taylor]: Taking taylor expansion of x.im in x.re 0.537 * [taylor]: Taking taylor expansion of x.re in x.re 0.537 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.537 * [taylor]: Taking taylor expansion of 3 in x.im 0.537 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.537 * [taylor]: Taking taylor expansion of x.im in x.im 0.537 * [taylor]: Taking taylor expansion of x.re in x.im 0.537 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.537 * [taylor]: Taking taylor expansion of 3 in x.im 0.537 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.537 * [taylor]: Taking taylor expansion of x.im in x.im 0.537 * [taylor]: Taking taylor expansion of x.re in x.im 0.538 * [taylor]: Taking taylor expansion of 0 in x.re 0.538 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.538 * [taylor]: Taking taylor expansion of 3 in x.re 0.538 * [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 0.544 * [taylor]: Taking taylor expansion of 0 in x.re 0.544 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.544 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.544 * [taylor]: Taking taylor expansion of 3 in x.re 0.544 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.544 * [taylor]: Taking taylor expansion of x.im in x.re 0.544 * [taylor]: Taking taylor expansion of x.re in x.re 0.544 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.545 * [taylor]: Taking taylor expansion of 3 in x.im 0.545 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.545 * [taylor]: Taking taylor expansion of x.im in x.im 0.545 * [taylor]: Taking taylor expansion of x.re in x.im 0.545 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.545 * [taylor]: Taking taylor expansion of 3 in x.im 0.545 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.545 * [taylor]: Taking taylor expansion of x.im in x.im 0.545 * [taylor]: Taking taylor expansion of x.re in x.im 0.545 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.545 * [taylor]: Taking taylor expansion of 3 in x.re 0.545 * [taylor]: Taking taylor expansion of x.re in x.re 0.546 * [taylor]: Taking taylor expansion of 0 in x.re 0.547 * [taylor]: Taking taylor expansion of 0 in x.re 0.549 * [taylor]: Taking taylor expansion of 0 in x.re 0.550 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.550 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.550 * [taylor]: Taking taylor expansion of 3 in x.re 0.550 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.550 * [taylor]: Taking taylor expansion of x.im in x.re 0.550 * [taylor]: Taking taylor expansion of x.re in x.re 0.550 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.550 * [taylor]: Taking taylor expansion of 3 in x.im 0.550 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.550 * [taylor]: Taking taylor expansion of x.im in x.im 0.550 * [taylor]: Taking taylor expansion of x.re in x.im 0.551 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.551 * [taylor]: Taking taylor expansion of 3 in x.im 0.551 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.551 * [taylor]: Taking taylor expansion of x.im in x.im 0.551 * [taylor]: Taking taylor expansion of x.re in x.im 0.551 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.551 * [taylor]: Taking taylor expansion of 3 in x.re 0.551 * [taylor]: Taking taylor expansion of x.re in x.re 0.552 * [taylor]: Taking taylor expansion of 0 in x.re 0.553 * [taylor]: Taking taylor expansion of 0 in x.re 0.555 * [taylor]: Taking taylor expansion of 0 in x.re 0.555 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.555 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.555 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.556 * [taylor]: Taking taylor expansion of 3 in x.re 0.556 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.556 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.556 * [taylor]: Taking taylor expansion of x.im in x.re 0.556 * [taylor]: Taking taylor expansion of x.re in x.re 0.556 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.556 * [taylor]: Taking taylor expansion of 3 in x.im 0.556 * [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 (* (pow x.im 2) x.re)) in x.im 0.556 * [taylor]: Taking taylor expansion of 3 in x.im 0.556 * [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 0.559 * [taylor]: Taking taylor expansion of 0 in x.re 0.562 * [taylor]: Taking taylor expansion of 0 in x.re 0.562 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.562 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.562 * [taylor]: Taking taylor expansion of 3 in x.re 0.562 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.562 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.562 * [taylor]: Taking taylor expansion of x.im in x.re 0.562 * [taylor]: Taking taylor expansion of x.re in x.re 0.562 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.563 * [taylor]: Taking taylor expansion of 3 in x.im 0.563 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.563 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.563 * [taylor]: Taking taylor expansion of x.im in x.im 0.563 * [taylor]: Taking taylor expansion of x.re in x.im 0.756 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.756 * [taylor]: Taking taylor expansion of 3 in x.im 0.756 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.756 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.756 * [taylor]: Taking taylor expansion of x.im in x.im 0.756 * [taylor]: Taking taylor expansion of x.re in x.im 0.756 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.756 * [taylor]: Taking taylor expansion of 3 in x.re 0.756 * [taylor]: Taking taylor expansion of x.re in x.re 0.757 * [taylor]: Taking taylor expansion of 0 in x.re 0.759 * [taylor]: Taking taylor expansion of 0 in x.re 0.761 * [taylor]: Taking taylor expansion of 0 in x.re 0.762 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.762 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.762 * [taylor]: Taking taylor expansion of -3 in x.re 0.762 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.762 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.762 * [taylor]: Taking taylor expansion of x.im in x.re 0.762 * [taylor]: Taking taylor expansion of x.re in x.re 0.762 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.762 * [taylor]: Taking taylor expansion of -3 in x.im 0.762 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.762 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.762 * [taylor]: Taking taylor expansion of x.im in x.im 0.762 * [taylor]: Taking taylor expansion of x.re in x.im 0.763 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.763 * [taylor]: Taking taylor expansion of -3 in x.im 0.763 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.763 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.763 * [taylor]: Taking taylor expansion of x.im in x.im 0.763 * [taylor]: Taking taylor expansion of x.re in x.im 0.763 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.763 * [taylor]: Taking taylor expansion of -3 in x.re 0.763 * [taylor]: Taking taylor expansion of x.re in x.re 0.764 * [taylor]: Taking taylor expansion of 0 in x.re 0.766 * [taylor]: Taking taylor expansion of 0 in x.re 0.768 * [taylor]: Taking taylor expansion of 0 in x.re 0.769 * * * [progress]: simplifying candidates 0.770 * [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)) 0.773 * * [simplify]: iteration 0 : 172 enodes (cost 179 ) 0.779 * * [simplify]: iteration 1 : 998 enodes (cost 145 ) 0.807 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.808 * [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) 0.808 * * * [progress]: adding candidates to table 0.868 * * [progress]: iteration 4 / 4 0.868 * * * [progress]: picking best candidate 0.875 * * * * [pick]: Picked # 0.875 * * * [progress]: localizing error 0.882 * * * [progress]: generating rewritten candidates 0.882 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.887 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.894 * * * [progress]: generating series expansions 0.894 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.895 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.895 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.895 * [taylor]: Taking taylor expansion of 3 in x.re 0.895 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.895 * [taylor]: Taking taylor expansion of x.im in x.re 0.895 * [taylor]: Taking taylor expansion of x.re in x.re 0.895 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.895 * [taylor]: Taking taylor expansion of 3 in x.im 0.895 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.895 * [taylor]: Taking taylor expansion of x.im in x.im 0.895 * [taylor]: Taking taylor expansion of x.re in x.im 0.895 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.895 * [taylor]: Taking taylor expansion of 3 in x.im 0.895 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.895 * [taylor]: Taking taylor expansion of x.im in x.im 0.895 * [taylor]: Taking taylor expansion of x.re in x.im 0.895 * [taylor]: Taking taylor expansion of 0 in x.re 0.896 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.896 * [taylor]: Taking taylor expansion of 3 in x.re 0.896 * [taylor]: Taking taylor expansion of x.re in x.re 0.897 * [taylor]: Taking taylor expansion of 0 in x.re 0.899 * [taylor]: Taking taylor expansion of 0 in x.re 0.901 * [taylor]: Taking taylor expansion of 0 in x.re 0.902 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.902 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.902 * [taylor]: Taking taylor expansion of 3 in x.re 0.902 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.902 * [taylor]: Taking taylor expansion of x.im in x.re 0.902 * [taylor]: Taking taylor expansion of x.re in x.re 0.902 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.902 * [taylor]: Taking taylor expansion of 3 in x.im 0.902 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.902 * [taylor]: Taking taylor expansion of x.im in x.im 0.902 * [taylor]: Taking taylor expansion of x.re in x.im 0.902 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.902 * [taylor]: Taking taylor expansion of 3 in x.im 0.902 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.902 * [taylor]: Taking taylor expansion of x.im in x.im 0.902 * [taylor]: Taking taylor expansion of x.re in x.im 0.903 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.903 * [taylor]: Taking taylor expansion of 3 in x.re 0.903 * [taylor]: Taking taylor expansion of x.re in x.re 0.904 * [taylor]: Taking taylor expansion of 0 in x.re 0.905 * [taylor]: Taking taylor expansion of 0 in x.re 0.907 * [taylor]: Taking taylor expansion of 0 in x.re 0.907 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.907 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.907 * [taylor]: Taking taylor expansion of 3 in x.re 0.907 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.907 * [taylor]: Taking taylor expansion of x.im in x.re 0.907 * [taylor]: Taking taylor expansion of x.re in x.re 0.908 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.908 * [taylor]: Taking taylor expansion of 3 in x.im 0.908 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.908 * [taylor]: Taking taylor expansion of x.im in x.im 0.908 * [taylor]: Taking taylor expansion of x.re in x.im 0.908 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.908 * [taylor]: Taking taylor expansion of 3 in x.im 0.908 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.908 * [taylor]: Taking taylor expansion of x.im in x.im 0.908 * [taylor]: Taking taylor expansion of x.re in x.im 0.908 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.908 * [taylor]: Taking taylor expansion of 3 in x.re 0.908 * [taylor]: Taking taylor expansion of x.re in x.re 0.909 * [taylor]: Taking taylor expansion of 0 in x.re 0.911 * [taylor]: Taking taylor expansion of 0 in x.re 0.912 * [taylor]: Taking taylor expansion of 0 in x.re 0.913 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.913 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.913 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.913 * [taylor]: Taking taylor expansion of 3 in x.re 0.913 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.913 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.913 * [taylor]: Taking taylor expansion of x.im in x.re 0.913 * [taylor]: Taking taylor expansion of x.re in x.re 0.913 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.913 * [taylor]: Taking taylor expansion of 3 in x.im 0.913 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.913 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.913 * [taylor]: Taking taylor expansion of x.im in x.im 0.913 * [taylor]: Taking taylor expansion of x.re in x.im 0.913 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.913 * [taylor]: Taking taylor expansion of 3 in x.im 0.913 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.913 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.913 * [taylor]: Taking taylor expansion of x.im in x.im 0.913 * [taylor]: Taking taylor expansion of x.re in x.im 0.914 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.914 * [taylor]: Taking taylor expansion of 3 in x.re 0.914 * [taylor]: Taking taylor expansion of x.re in x.re 0.915 * [taylor]: Taking taylor expansion of 0 in x.re 0.919 * [taylor]: Taking taylor expansion of 0 in x.re 0.922 * [taylor]: Taking taylor expansion of 0 in x.re 0.922 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.922 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.922 * [taylor]: Taking taylor expansion of 3 in x.re 0.922 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.922 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.922 * [taylor]: Taking taylor expansion of x.im in x.re 0.922 * [taylor]: Taking taylor expansion of x.re in x.re 0.923 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.923 * [taylor]: Taking taylor expansion of 3 in x.im 0.923 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.923 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.923 * [taylor]: Taking taylor expansion of x.im in x.im 0.923 * [taylor]: Taking taylor expansion of x.re in x.im 0.923 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.923 * [taylor]: Taking taylor expansion of 3 in x.im 0.923 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.923 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.923 * [taylor]: Taking taylor expansion of x.im in x.im 0.923 * [taylor]: Taking taylor expansion of x.re in x.im 0.924 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.924 * [taylor]: Taking taylor expansion of 3 in x.re 0.924 * [taylor]: Taking taylor expansion of x.re in x.re 0.925 * [taylor]: Taking taylor expansion of 0 in x.re 0.926 * [taylor]: Taking taylor expansion of 0 in x.re 0.928 * [taylor]: Taking taylor expansion of 0 in x.re 0.929 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.929 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.929 * [taylor]: Taking taylor expansion of -3 in x.re 0.929 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.929 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.929 * [taylor]: Taking taylor expansion of x.im in x.re 0.929 * [taylor]: Taking taylor expansion of x.re in x.re 0.929 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.930 * [taylor]: Taking taylor expansion of -3 in x.im 0.930 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.930 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.930 * [taylor]: Taking taylor expansion of x.im in x.im 0.930 * [taylor]: Taking taylor expansion of x.re in x.im 0.930 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.930 * [taylor]: Taking taylor expansion of -3 in x.im 0.930 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.930 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.930 * [taylor]: Taking taylor expansion of x.im in x.im 0.930 * [taylor]: Taking taylor expansion of x.re in x.im 0.930 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.930 * [taylor]: Taking taylor expansion of -3 in x.re 0.930 * [taylor]: Taking taylor expansion of x.re in x.re 0.931 * [taylor]: Taking taylor expansion of 0 in x.re 0.933 * [taylor]: Taking taylor expansion of 0 in x.re 0.935 * [taylor]: Taking taylor expansion of 0 in x.re 0.936 * * * [progress]: simplifying candidates 0.936 * [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)) 0.940 * * [simplify]: iteration 0 : 167 enodes (cost 177 ) 0.945 * * [simplify]: iteration 1 : 817 enodes (cost 145 ) 0.970 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.971 * [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) 0.972 * * * [progress]: adding candidates to table 1.031 * [progress]: [Phase 3 of 3] Extracting. 1.031 * * [regime]: Finding splitpoints for: (# # # # # #) 1.032 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 1.032 * * * * [regimes]: Trying to branch on x.im from (# # # # # #) 1.054 * * * * [regimes]: Trying to branch on x.re from (# # # # # #) 1.074 * * * [regime]: Found split indices: #