1.795 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.032 * * [simplify]: iteration 0 : 21 enodes (cost 9 ) 0.034 * * [simplify]: iteration 1 : 55 enodes (cost 9 ) 0.036 * * [simplify]: iteration 2 : 150 enodes (cost 9 ) 0.039 * * [simplify]: iteration 3 : 401 enodes (cost 6 ) 0.048 * * [simplify]: iteration 4 : 1088 enodes (cost 5 ) 0.067 * * [simplify]: iteration 5 : 2704 enodes (cost 5 ) 0.115 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.115 * [simplify]: Simplified to: (- (pow x.re 3) (* 3 (* x.im (* x.re x.im)))) 0.118 * * [progress]: iteration 1 / 4 0.118 * * * [progress]: picking best candidate 0.122 * * * * [pick]: Picked # 0.122 * * * [progress]: localizing error 0.129 * * * [progress]: generating rewritten candidates 0.129 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.144 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.151 * * * [progress]: generating series expansions 0.151 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.151 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.151 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.151 * [taylor]: Taking taylor expansion of 3 in x.re 0.151 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.151 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.151 * [taylor]: Taking taylor expansion of x.im in x.re 0.151 * [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 0.152 * [taylor]: Taking taylor expansion of 3 in x.im 0.152 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.152 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.152 * [taylor]: Taking taylor expansion of x.im in x.im 0.152 * [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 0.155 * [taylor]: Taking taylor expansion of 0 in x.re 0.158 * [taylor]: Taking taylor expansion of 0 in x.re 0.158 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.158 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.158 * [taylor]: Taking taylor expansion of 3 in x.re 0.158 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.158 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.158 * [taylor]: Taking taylor expansion of x.im in x.re 0.158 * [taylor]: Taking taylor expansion of x.re in x.re 0.159 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.159 * [taylor]: Taking taylor expansion of 3 in x.im 0.159 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.159 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.159 * [taylor]: Taking taylor expansion of x.im in x.im 0.159 * [taylor]: Taking taylor expansion of x.re in x.im 0.159 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.159 * [taylor]: Taking taylor expansion of 3 in x.im 0.159 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.160 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.160 * [taylor]: Taking taylor expansion of x.im in x.im 0.160 * [taylor]: Taking taylor expansion of x.re in x.im 0.160 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.160 * [taylor]: Taking taylor expansion of 3 in x.re 0.160 * [taylor]: Taking taylor expansion of x.re in x.re 0.161 * [taylor]: Taking taylor expansion of 0 in x.re 0.163 * [taylor]: Taking taylor expansion of 0 in x.re 0.165 * [taylor]: Taking taylor expansion of 0 in x.re 0.166 * [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 0.166 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.166 * [taylor]: Taking taylor expansion of -3 in x.im 0.166 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.166 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.166 * [taylor]: Taking taylor expansion of x.im in x.im 0.166 * [taylor]: Taking taylor expansion of x.re in x.im 0.167 * [taylor]: Taking taylor expansion of (/ -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 0.176 * [taylor]: Taking taylor expansion of 0 in x.re 0.177 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.177 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.im x.re) around 0 0.177 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.177 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.177 * [taylor]: Taking taylor expansion of x.im in x.re 0.177 * [taylor]: Taking taylor expansion of x.re in x.re 0.177 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.177 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.177 * [taylor]: Taking taylor expansion of x.im in x.im 0.177 * [taylor]: Taking taylor expansion of x.re in x.im 0.177 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.177 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.177 * [taylor]: Taking taylor expansion of x.im in x.im 0.177 * [taylor]: Taking taylor expansion of x.re in x.im 0.178 * [taylor]: Taking taylor expansion of x.re 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 0.181 * [taylor]: Taking taylor expansion of 0 in x.re 0.181 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.181 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.181 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.181 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.181 * [taylor]: Taking taylor expansion of x.im in x.re 0.181 * [taylor]: Taking taylor expansion of x.re in x.re 0.182 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.182 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.182 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.182 * [taylor]: Taking taylor expansion of x.im in x.im 0.182 * [taylor]: Taking taylor expansion of x.re in x.im 0.183 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.183 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.183 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.183 * [taylor]: Taking taylor expansion of x.im in x.im 0.183 * [taylor]: Taking taylor expansion of x.re in x.im 0.183 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.183 * [taylor]: Taking taylor expansion of x.re in x.re 0.184 * [taylor]: Taking taylor expansion of 0 in x.re 0.186 * [taylor]: Taking taylor expansion of 0 in x.re 0.188 * [taylor]: Taking taylor expansion of 0 in x.re 0.188 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.188 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.188 * [taylor]: Taking taylor expansion of -1 in x.re 0.189 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.189 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.189 * [taylor]: Taking taylor expansion of x.im in x.re 0.189 * [taylor]: Taking taylor expansion of x.re in x.re 0.189 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.189 * [taylor]: Taking taylor expansion of -1 in x.im 0.189 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.189 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.189 * [taylor]: Taking taylor expansion of x.im in x.im 0.189 * [taylor]: Taking taylor expansion of x.re in x.im 0.190 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.190 * [taylor]: Taking taylor expansion of -1 in x.im 0.190 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.190 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.190 * [taylor]: Taking taylor expansion of x.im in x.im 0.190 * [taylor]: Taking taylor expansion of x.re in x.im 0.190 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.190 * [taylor]: Taking taylor expansion of -1 in x.re 0.190 * [taylor]: Taking taylor expansion of x.re in x.re 0.191 * [taylor]: Taking taylor expansion of 0 in x.re 0.193 * [taylor]: Taking taylor expansion of 0 in x.re 0.195 * [taylor]: Taking taylor expansion of 0 in x.re 0.196 * * * [progress]: simplifying candidates 0.196 * [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) 0.200 * * [simplify]: iteration 0 : 151 enodes (cost 179 ) 0.203 * * [simplify]: iteration 1 : 581 enodes (cost 143 ) 0.218 * * [simplify]: iteration 2 : 3219 enodes (cost 143 ) 0.285 * * [simplify]: iteration 3 : 5001 enodes (cost 142 ) 0.286 * [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)) 0.286 * * * [progress]: adding candidates to table 0.349 * * [progress]: iteration 2 / 4 0.349 * * * [progress]: picking best candidate 0.359 * * * * [pick]: Picked # 0.359 * * * [progress]: localizing error 0.366 * * * [progress]: generating rewritten candidates 0.366 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.377 * * * [progress]: generating series expansions 0.377 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.377 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.377 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.377 * [taylor]: Taking taylor expansion of 3 in x.re 0.377 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.377 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.377 * [taylor]: Taking taylor expansion of x.im in x.re 0.377 * [taylor]: Taking taylor expansion of x.re in x.re 0.377 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.377 * [taylor]: Taking taylor expansion of 3 in x.im 0.377 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.377 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.377 * [taylor]: Taking taylor expansion of x.im in x.im 0.377 * [taylor]: Taking taylor expansion of x.re in x.im 0.377 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.377 * [taylor]: Taking taylor expansion of 3 in x.im 0.377 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.377 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.377 * [taylor]: Taking taylor expansion of x.im in x.im 0.377 * [taylor]: Taking taylor expansion of x.re in x.im 0.378 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.378 * [taylor]: Taking taylor expansion of 3 in x.re 0.378 * [taylor]: Taking taylor expansion of x.re in x.re 0.379 * [taylor]: Taking taylor expansion of 0 in x.re 0.381 * [taylor]: Taking taylor expansion of 0 in x.re 0.384 * [taylor]: Taking taylor expansion of 0 in x.re 0.384 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.384 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.384 * [taylor]: Taking taylor expansion of 3 in x.re 0.384 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.384 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.384 * [taylor]: Taking taylor expansion of x.im in x.re 0.384 * [taylor]: Taking taylor expansion of x.re in x.re 0.385 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.385 * [taylor]: Taking taylor expansion of 3 in x.im 0.385 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.385 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.385 * [taylor]: Taking taylor expansion of x.im in x.im 0.385 * [taylor]: Taking taylor expansion of x.re in x.im 0.385 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.385 * [taylor]: Taking taylor expansion of 3 in x.im 0.385 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.385 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.385 * [taylor]: Taking taylor expansion of x.im in x.im 0.385 * [taylor]: Taking taylor expansion of x.re in x.im 0.386 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.386 * [taylor]: Taking taylor expansion of 3 in x.re 0.386 * [taylor]: Taking taylor expansion of x.re in x.re 0.387 * [taylor]: Taking taylor expansion of 0 in x.re 0.389 * [taylor]: Taking taylor expansion of 0 in x.re 0.391 * [taylor]: Taking taylor expansion of 0 in x.re 0.392 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.392 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.392 * [taylor]: Taking taylor expansion of -3 in x.re 0.392 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.392 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.392 * [taylor]: Taking taylor expansion of x.im in x.re 0.392 * [taylor]: Taking taylor expansion of x.re in x.re 0.392 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.393 * [taylor]: Taking taylor expansion of -3 in x.im 0.393 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.393 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.393 * [taylor]: Taking taylor expansion of x.im in x.im 0.393 * [taylor]: Taking taylor expansion of x.re in x.im 0.393 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.393 * [taylor]: Taking taylor expansion of -3 in x.im 0.393 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.393 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.393 * [taylor]: Taking taylor expansion of x.im in x.im 0.393 * [taylor]: Taking taylor expansion of x.re in x.im 0.393 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.393 * [taylor]: Taking taylor expansion of -3 in x.re 0.393 * [taylor]: Taking taylor expansion of x.re in x.re 0.399 * [taylor]: Taking taylor expansion of 0 in x.re 0.400 * [taylor]: Taking taylor expansion of 0 in x.re 0.402 * [taylor]: Taking taylor expansion of 0 in x.re 0.403 * * * [progress]: simplifying candidates 0.403 * [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)) 0.407 * * [simplify]: iteration 0 : 135 enodes (cost 118 ) 0.410 * * [simplify]: iteration 1 : 621 enodes (cost 90 ) 0.427 * * [simplify]: iteration 2 : 3862 enodes (cost 90 ) 0.515 * * [simplify]: iteration 3 : 5001 enodes (cost 90 ) 0.516 * [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)) 0.516 * * * [progress]: adding candidates to table 0.543 * * [progress]: iteration 3 / 4 0.543 * * * [progress]: picking best candidate 0.554 * * * * [pick]: Picked # 0.554 * * * [progress]: localizing error 0.561 * * * [progress]: generating rewritten candidates 0.561 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.568 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.593 * * * [progress]: generating series expansions 0.593 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.593 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.593 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.593 * [taylor]: Taking taylor expansion of 3 in x.re 0.593 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.593 * [taylor]: Taking taylor expansion of x.im in x.re 0.593 * [taylor]: Taking taylor expansion of x.re in x.re 0.593 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.593 * [taylor]: Taking taylor expansion of 3 in x.im 0.593 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.593 * [taylor]: Taking taylor expansion of x.im in x.im 0.593 * [taylor]: Taking taylor expansion of x.re in x.im 0.593 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.593 * [taylor]: Taking taylor expansion of 3 in x.im 0.593 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.593 * [taylor]: Taking taylor expansion of x.im in x.im 0.593 * [taylor]: Taking taylor expansion of x.re in x.im 0.594 * [taylor]: Taking taylor expansion of 0 in x.re 0.595 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.595 * [taylor]: Taking taylor expansion of 3 in x.re 0.595 * [taylor]: Taking taylor expansion of x.re in x.re 0.596 * [taylor]: Taking taylor expansion of 0 in x.re 0.598 * [taylor]: Taking taylor expansion of 0 in x.re 0.600 * [taylor]: Taking taylor expansion of 0 in x.re 0.601 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.601 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.601 * [taylor]: Taking taylor expansion of 3 in x.re 0.601 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.601 * [taylor]: Taking taylor expansion of x.im in x.re 0.601 * [taylor]: Taking taylor expansion of x.re in x.re 0.601 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.601 * [taylor]: Taking taylor expansion of 3 in x.im 0.601 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.601 * [taylor]: Taking taylor expansion of x.im in x.im 0.601 * [taylor]: Taking taylor expansion of x.re in x.im 0.601 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.601 * [taylor]: Taking taylor expansion of 3 in x.im 0.601 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.601 * [taylor]: Taking taylor expansion of x.im in x.im 0.601 * [taylor]: Taking taylor expansion of x.re in x.im 0.602 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.602 * [taylor]: Taking taylor expansion of 3 in x.re 0.602 * [taylor]: Taking taylor expansion of x.re in x.re 0.603 * [taylor]: Taking taylor expansion of 0 in x.re 0.604 * [taylor]: Taking taylor expansion of 0 in x.re 0.606 * [taylor]: Taking taylor expansion of 0 in x.re 0.607 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.607 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.607 * [taylor]: Taking taylor expansion of 3 in x.re 0.607 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.607 * [taylor]: Taking taylor expansion of x.im in x.re 0.607 * [taylor]: Taking taylor expansion of x.re in x.re 0.607 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.607 * [taylor]: Taking taylor expansion of 3 in x.im 0.607 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.607 * [taylor]: Taking taylor expansion of x.im in x.im 0.607 * [taylor]: Taking taylor expansion of x.re in x.im 0.608 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.608 * [taylor]: Taking taylor expansion of 3 in x.im 0.608 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.608 * [taylor]: Taking taylor expansion of x.im in x.im 0.608 * [taylor]: Taking taylor expansion of x.re in x.im 0.608 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.608 * [taylor]: Taking taylor expansion of 3 in x.re 0.608 * [taylor]: Taking taylor expansion of x.re in x.re 0.609 * [taylor]: Taking taylor expansion of 0 in x.re 0.610 * [taylor]: Taking taylor expansion of 0 in x.re 0.612 * [taylor]: Taking taylor expansion of 0 in x.re 0.613 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.613 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.613 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.613 * [taylor]: Taking taylor expansion of 3 in x.re 0.613 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.613 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.613 * [taylor]: Taking taylor expansion of x.im in x.re 0.613 * [taylor]: Taking taylor expansion of x.re in x.re 0.613 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.613 * [taylor]: Taking taylor expansion of 3 in x.im 0.613 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.613 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.613 * [taylor]: Taking taylor expansion of x.im in x.im 0.613 * [taylor]: Taking taylor expansion of x.re in x.im 0.613 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.613 * [taylor]: Taking taylor expansion of 3 in x.im 0.613 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.613 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.613 * [taylor]: Taking taylor expansion of x.im in x.im 0.613 * [taylor]: Taking taylor expansion of x.re in x.im 0.613 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.613 * [taylor]: Taking taylor expansion of 3 in x.re 0.613 * [taylor]: Taking taylor expansion of x.re in x.re 0.615 * [taylor]: Taking taylor expansion of 0 in x.re 0.617 * [taylor]: Taking taylor expansion of 0 in x.re 0.619 * [taylor]: Taking taylor expansion of 0 in x.re 0.620 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.620 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.620 * [taylor]: Taking taylor expansion of 3 in x.re 0.620 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.620 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.620 * [taylor]: Taking taylor expansion of x.im in x.re 0.620 * [taylor]: Taking taylor expansion of x.re in x.re 0.620 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.620 * [taylor]: Taking taylor expansion of 3 in x.im 0.620 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.621 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.621 * [taylor]: Taking taylor expansion of x.im in x.im 0.621 * [taylor]: Taking taylor expansion of x.re in x.im 0.621 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.621 * [taylor]: Taking taylor expansion of 3 in x.im 0.621 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.621 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.621 * [taylor]: Taking taylor expansion of x.im in x.im 0.621 * [taylor]: Taking taylor expansion of x.re in x.im 0.621 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.621 * [taylor]: Taking taylor expansion of 3 in x.re 0.621 * [taylor]: Taking taylor expansion of x.re in x.re 0.622 * [taylor]: Taking taylor expansion of 0 in x.re 0.624 * [taylor]: Taking taylor expansion of 0 in x.re 0.626 * [taylor]: Taking taylor expansion of 0 in x.re 0.627 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.627 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.627 * [taylor]: Taking taylor expansion of -3 in x.re 0.627 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.627 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.627 * [taylor]: Taking taylor expansion of x.im in x.re 0.627 * [taylor]: Taking taylor expansion of x.re in x.re 0.628 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.628 * [taylor]: Taking taylor expansion of -3 in x.im 0.628 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.628 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.628 * [taylor]: Taking taylor expansion of x.im in x.im 0.628 * [taylor]: Taking taylor expansion of x.re in x.im 0.628 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.628 * [taylor]: Taking taylor expansion of -3 in x.im 0.628 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.628 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.628 * [taylor]: Taking taylor expansion of x.im in x.im 0.628 * [taylor]: Taking taylor expansion of x.re in x.im 0.629 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.629 * [taylor]: Taking taylor expansion of -3 in x.re 0.629 * [taylor]: Taking taylor expansion of x.re in x.re 0.630 * [taylor]: Taking taylor expansion of 0 in x.re 0.632 * [taylor]: Taking taylor expansion of 0 in x.re 0.634 * [taylor]: Taking taylor expansion of 0 in x.re 0.635 * * * [progress]: simplifying candidates 0.635 * [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)) 0.639 * * [simplify]: iteration 0 : 172 enodes (cost 179 ) 0.644 * * [simplify]: iteration 1 : 998 enodes (cost 145 ) 0.672 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.674 * [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) 0.674 * * * [progress]: adding candidates to table 0.739 * * [progress]: iteration 4 / 4 0.739 * * * [progress]: picking best candidate 0.752 * * * * [pick]: Picked # 0.752 * * * [progress]: localizing error 0.760 * * * [progress]: generating rewritten candidates 0.760 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.766 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.785 * * * [progress]: generating series expansions 0.785 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.785 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.785 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.785 * [taylor]: Taking taylor expansion of 3 in x.re 0.785 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.785 * [taylor]: Taking taylor expansion of x.im in x.re 0.785 * [taylor]: Taking taylor expansion of x.re in x.re 0.785 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.785 * [taylor]: Taking taylor expansion of 3 in x.im 0.785 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.785 * [taylor]: Taking taylor expansion of x.im in x.im 0.785 * [taylor]: Taking taylor expansion of x.re in x.im 0.785 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.785 * [taylor]: Taking taylor expansion of 3 in x.im 0.785 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.785 * [taylor]: Taking taylor expansion of x.im in x.im 0.785 * [taylor]: Taking taylor expansion of x.re in x.im 0.786 * [taylor]: Taking taylor expansion of 0 in x.re 0.786 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.786 * [taylor]: Taking taylor expansion of 3 in x.re 0.786 * [taylor]: Taking taylor expansion of x.re in x.re 0.788 * [taylor]: Taking taylor expansion of 0 in x.re 0.790 * [taylor]: Taking taylor expansion of 0 in x.re 0.792 * [taylor]: Taking taylor expansion of 0 in x.re 0.793 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.793 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.793 * [taylor]: Taking taylor expansion of 3 in x.re 0.793 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.793 * [taylor]: Taking taylor expansion of x.im in x.re 0.793 * [taylor]: Taking taylor expansion of x.re in x.re 0.793 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.793 * [taylor]: Taking taylor expansion of 3 in x.im 0.793 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.793 * [taylor]: Taking taylor expansion of x.im in x.im 0.793 * [taylor]: Taking taylor expansion of x.re in x.im 0.793 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.793 * [taylor]: Taking taylor expansion of 3 in x.im 0.793 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.793 * [taylor]: Taking taylor expansion of x.im in x.im 0.794 * [taylor]: Taking taylor expansion of x.re in x.im 0.794 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.794 * [taylor]: Taking taylor expansion of 3 in x.re 0.794 * [taylor]: Taking taylor expansion of x.re in x.re 0.795 * [taylor]: Taking taylor expansion of 0 in x.re 0.796 * [taylor]: Taking taylor expansion of 0 in x.re 0.798 * [taylor]: Taking taylor expansion of 0 in x.re 0.799 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.799 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.799 * [taylor]: Taking taylor expansion of 3 in x.re 0.799 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.799 * [taylor]: Taking taylor expansion of x.im in x.re 0.799 * [taylor]: Taking taylor expansion of x.re in x.re 0.800 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.800 * [taylor]: Taking taylor expansion of 3 in x.im 0.800 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.800 * [taylor]: Taking taylor expansion of x.im in x.im 0.800 * [taylor]: Taking taylor expansion of x.re in x.im 0.800 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.800 * [taylor]: Taking taylor expansion of 3 in x.im 0.800 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.800 * [taylor]: Taking taylor expansion of x.im in x.im 0.800 * [taylor]: Taking taylor expansion of x.re in x.im 0.800 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.800 * [taylor]: Taking taylor expansion of 3 in x.re 0.800 * [taylor]: Taking taylor expansion of x.re in x.re 0.801 * [taylor]: Taking taylor expansion of 0 in x.re 0.803 * [taylor]: Taking taylor expansion of 0 in x.re 0.804 * [taylor]: Taking taylor expansion of 0 in x.re 0.805 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.805 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.805 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.805 * [taylor]: Taking taylor expansion of 3 in x.re 0.805 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.805 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.805 * [taylor]: Taking taylor expansion of x.im in x.re 0.805 * [taylor]: Taking taylor expansion of x.re in x.re 0.805 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.805 * [taylor]: Taking taylor expansion of 3 in x.im 0.805 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.805 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.805 * [taylor]: Taking taylor expansion of x.im in x.im 0.805 * [taylor]: Taking taylor expansion of x.re in x.im 0.805 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.805 * [taylor]: Taking taylor expansion of 3 in x.im 0.805 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.805 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.805 * [taylor]: Taking taylor expansion of x.im in x.im 0.805 * [taylor]: Taking taylor expansion of x.re in x.im 0.806 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.806 * [taylor]: Taking taylor expansion of 3 in x.re 0.806 * [taylor]: Taking taylor expansion of x.re in x.re 0.807 * [taylor]: Taking taylor expansion of 0 in x.re 0.809 * [taylor]: Taking taylor expansion of 0 in x.re 0.811 * [taylor]: Taking taylor expansion of 0 in x.re 0.812 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.812 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.812 * [taylor]: Taking taylor expansion of 3 in x.re 0.812 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.812 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.812 * [taylor]: Taking taylor expansion of x.im in x.re 0.812 * [taylor]: Taking taylor expansion of x.re in x.re 0.812 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.812 * [taylor]: Taking taylor expansion of 3 in x.im 0.812 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.812 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.812 * [taylor]: Taking taylor expansion of x.im in x.im 0.812 * [taylor]: Taking taylor expansion of x.re in x.im 0.813 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.813 * [taylor]: Taking taylor expansion of 3 in x.im 0.813 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.813 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.813 * [taylor]: Taking taylor expansion of x.im in x.im 0.813 * [taylor]: Taking taylor expansion of x.re in x.im 0.813 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.813 * [taylor]: Taking taylor expansion of 3 in x.re 0.813 * [taylor]: Taking taylor expansion of x.re in x.re 0.814 * [taylor]: Taking taylor expansion of 0 in x.re 0.816 * [taylor]: Taking taylor expansion of 0 in x.re 0.818 * [taylor]: Taking taylor expansion of 0 in x.re 0.819 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.819 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.819 * [taylor]: Taking taylor expansion of -3 in x.re 0.819 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.819 * [taylor]: Taking taylor expansion of (pow x.im 2) 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 (* (pow x.im 2) x.re)) in x.im 0.819 * [taylor]: Taking taylor expansion of -3 in x.im 0.819 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.819 * [taylor]: Taking taylor expansion of (pow x.im 2) 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 (/ -3 (* (pow x.im 2) x.re)) in x.im 0.820 * [taylor]: Taking taylor expansion of -3 in x.im 0.820 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.820 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.820 * [taylor]: Taking taylor expansion of x.im in x.im 0.820 * [taylor]: Taking taylor expansion of x.re in x.im 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 0.821 * [taylor]: Taking taylor expansion of 0 in x.re 0.823 * [taylor]: Taking taylor expansion of 0 in x.re 0.825 * [taylor]: Taking taylor expansion of 0 in x.re 0.831 * * * [progress]: simplifying candidates 0.831 * [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)) 0.835 * * [simplify]: iteration 0 : 167 enodes (cost 177 ) 0.840 * * [simplify]: iteration 1 : 817 enodes (cost 145 ) 0.864 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.866 * [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) 0.866 * * * [progress]: adding candidates to table 0.929 * [progress]: [Phase 3 of 3] Extracting. 0.929 * * [regime]: Finding splitpoints for: (# # # # # # # #) 0.930 * * * [regime-changes]: Trying 3 branch expressions: ((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) x.im x.re) 0.930 * * * * [regimes]: Trying to branch on (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) from (# # # # # # # #) 0.954 * * * * [regimes]: Trying to branch on x.im from (# # # # # # # #) 0.983 * * * * [regimes]: Trying to branch on x.re from (# # # # # # # #) 1.011 * * * [regime]: Found split indices: #