9.423 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) 0.036 * * [simplify]: iteration 0 : 23 enodes (cost 8 ) 0.037 * * [simplify]: iteration 1 : 56 enodes (cost 7 ) 0.039 * * [simplify]: iteration 2 : 129 enodes (cost 7 ) 0.042 * * [simplify]: iteration 3 : 353 enodes (cost 5 ) 0.048 * * [simplify]: iteration 4 : 948 enodes (cost 5 ) 0.061 * * [simplify]: iteration 5 : 2260 enodes (cost 5 ) 0.096 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.097 * [simplify]: Simplified to: (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) 0.100 * * [progress]: iteration 1 / 4 0.100 * * * [progress]: picking best candidate 0.103 * * * * [pick]: Picked # 0.103 * * * [progress]: localizing error 0.110 * * * [progress]: generating rewritten candidates 0.110 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.115 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.123 * * * [progress]: generating series expansions 0.123 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.123 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.im x.re) around 0 0.123 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.123 * [taylor]: Taking taylor expansion of x.im in x.re 0.123 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.123 * [taylor]: Taking taylor expansion of x.re in x.re 0.123 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.123 * [taylor]: Taking taylor expansion of x.im in x.im 0.123 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.123 * [taylor]: Taking taylor expansion of x.re in x.im 0.123 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.123 * [taylor]: Taking taylor expansion of x.im in x.im 0.123 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.123 * [taylor]: Taking taylor expansion of x.re in x.im 0.124 * [taylor]: Taking taylor expansion of 0 in x.re 0.124 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.124 * [taylor]: Taking taylor expansion of x.re in x.re 0.125 * [taylor]: Taking taylor expansion of 0 in x.re 0.127 * [taylor]: Taking taylor expansion of 0 in x.re 0.127 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.127 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.127 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.127 * [taylor]: Taking taylor expansion of x.im in x.re 0.128 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.128 * [taylor]: Taking taylor expansion of x.re in x.re 0.128 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.128 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.128 * [taylor]: Taking taylor expansion of x.im in x.im 0.128 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.128 * [taylor]: Taking taylor expansion of x.re in x.im 0.128 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.128 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.129 * [taylor]: Taking taylor expansion of x.im in x.im 0.129 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.129 * [taylor]: Taking taylor expansion of x.re in x.im 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.129 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.129 * [taylor]: Taking taylor expansion of x.re in x.re 0.131 * [taylor]: Taking taylor expansion of 0 in x.re 0.133 * [taylor]: Taking taylor expansion of 0 in x.re 0.137 * [taylor]: Taking taylor expansion of 0 in x.re 0.140 * [taylor]: Taking taylor expansion of 0 in x.re 0.141 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.141 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 0.141 * [taylor]: Taking taylor expansion of -1 in x.re 0.141 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.141 * [taylor]: Taking taylor expansion of x.im in x.re 0.141 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.141 * [taylor]: Taking taylor expansion of x.re in x.re 0.141 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.141 * [taylor]: Taking taylor expansion of -1 in x.im 0.141 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.141 * [taylor]: Taking taylor expansion of x.im in x.im 0.141 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.141 * [taylor]: Taking taylor expansion of x.re in x.im 0.142 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.142 * [taylor]: Taking taylor expansion of -1 in x.im 0.142 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.142 * [taylor]: Taking taylor expansion of x.im in x.im 0.142 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.142 * [taylor]: Taking taylor expansion of x.re in x.im 0.142 * [taylor]: Taking taylor expansion of (/ -1 (pow x.re 2)) in x.re 0.143 * [taylor]: Taking taylor expansion of -1 in x.re 0.143 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.143 * [taylor]: Taking taylor expansion of x.re in x.re 0.144 * [taylor]: Taking taylor expansion of 0 in x.re 0.147 * [taylor]: Taking taylor expansion of 0 in x.re 0.150 * [taylor]: Taking taylor expansion of 0 in x.re 0.157 * [taylor]: Taking taylor expansion of 0 in x.re 0.158 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.158 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.158 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.158 * [taylor]: Taking taylor expansion of 3 in x.re 0.158 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.158 * [taylor]: Taking taylor expansion of x.im in x.re 0.158 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.158 * [taylor]: Taking taylor expansion of x.re in x.re 0.158 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.158 * [taylor]: Taking taylor expansion of 3 in x.im 0.158 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.158 * [taylor]: Taking taylor expansion of x.im in x.im 0.158 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.158 * [taylor]: Taking taylor expansion of x.re in x.im 0.158 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.158 * [taylor]: Taking taylor expansion of 3 in x.im 0.158 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.158 * [taylor]: Taking taylor expansion of x.im in x.im 0.158 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.158 * [taylor]: Taking taylor expansion of x.re in x.im 0.159 * [taylor]: Taking taylor expansion of 0 in x.re 0.160 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.160 * [taylor]: Taking taylor expansion of 3 in x.re 0.160 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.160 * [taylor]: Taking taylor expansion of x.re in x.re 0.162 * [taylor]: Taking taylor expansion of 0 in x.re 0.165 * [taylor]: Taking taylor expansion of 0 in x.re 0.165 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.165 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.165 * [taylor]: Taking taylor expansion of 3 in x.re 0.165 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.165 * [taylor]: Taking taylor expansion of x.im in x.re 0.165 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.165 * [taylor]: Taking taylor expansion of x.re in x.re 0.166 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.166 * [taylor]: Taking taylor expansion of 3 in x.im 0.166 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.166 * [taylor]: Taking taylor expansion of x.im in x.im 0.166 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.166 * [taylor]: Taking taylor expansion of x.re in x.im 0.166 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.166 * [taylor]: Taking taylor expansion of 3 in x.im 0.166 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.166 * [taylor]: Taking taylor expansion of x.im in x.im 0.166 * [taylor]: Taking taylor expansion of (pow x.re 2) 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.re 2)) in x.re 0.167 * [taylor]: Taking taylor expansion of 3 in x.re 0.167 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.167 * [taylor]: Taking taylor expansion of x.re in x.re 0.169 * [taylor]: Taking taylor expansion of 0 in x.re 0.171 * [taylor]: Taking taylor expansion of 0 in x.re 0.175 * [taylor]: Taking taylor expansion of 0 in x.re 0.179 * [taylor]: Taking taylor expansion of 0 in x.re 0.179 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.179 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.179 * [taylor]: Taking taylor expansion of -3 in x.re 0.179 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.179 * [taylor]: Taking taylor expansion of x.im in x.re 0.179 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.179 * [taylor]: Taking taylor expansion of x.re in x.re 0.179 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.179 * [taylor]: Taking taylor expansion of -3 in x.im 0.179 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.179 * [taylor]: Taking taylor expansion of x.im in x.im 0.179 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.179 * [taylor]: Taking taylor expansion of x.re in x.im 0.180 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.180 * [taylor]: Taking taylor expansion of -3 in x.im 0.180 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.180 * [taylor]: Taking taylor expansion of x.im in x.im 0.180 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.180 * [taylor]: Taking taylor expansion of x.re in x.im 0.181 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.181 * [taylor]: Taking taylor expansion of -3 in x.re 0.181 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.181 * [taylor]: Taking taylor expansion of x.re in x.re 0.182 * [taylor]: Taking taylor expansion of 0 in x.re 0.185 * [taylor]: Taking taylor expansion of 0 in x.re 0.188 * [taylor]: Taking taylor expansion of 0 in x.re 0.192 * [taylor]: Taking taylor expansion of 0 in x.re 0.192 * * * [progress]: simplifying candidates 0.193 * [simplify]: Simplifying using # : (expm1 (* x.im (* x.re x.re))) (log1p (* x.im (* x.re x.re))) (* x.im (* x.re x.re)) (* x.im (* x.re x.re)) (+ (log x.im) (+ (log x.re) (log x.re))) (+ (log x.im) (log (* x.re x.re))) (log (* x.im (* x.re x.re))) (exp (* x.im (* x.re x.re))) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) x.re) (* (* x.re x.re) x.re))) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) (* x.re x.re)) (* x.re x.re))) (* (cbrt (* x.im (* x.re x.re))) (cbrt (* x.im (* x.re x.re)))) (cbrt (* x.im (* x.re x.re))) (* (* (* x.im (* x.re x.re)) (* x.im (* x.re x.re))) (* x.im (* x.re x.re))) (sqrt (* x.im (* x.re x.re))) (sqrt (* x.im (* x.re x.re))) (* (sqrt x.im) x.re) (* (sqrt x.im) x.re) (* x.im x.re) (* (cbrt x.im) (* x.re x.re)) (* (sqrt x.im) (* x.re x.re)) (* x.im (* x.re x.re)) (expm1 (* 3 (* x.im (* x.re x.re)))) (log1p (* 3 (* x.im (* x.re x.re)))) (* 3 (* x.im (* x.re x.re))) (* 3 (* x.im (* x.re x.re))) (* 3 (* x.im (* x.re x.re))) (+ (log 3) (+ (log x.im) (+ (log x.re) (log x.re)))) (+ (log 3) (+ (log x.im) (log (* x.re x.re)))) (+ (log 3) (log (* x.im (* x.re x.re)))) (log (* 3 (* x.im (* x.re x.re)))) (exp (* 3 (* x.im (* x.re x.re)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) x.re) (* (* x.re x.re) x.re)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) (* x.re x.re)) (* x.re x.re)))) (* (* (* 3 3) 3) (* (* (* x.im (* x.re x.re)) (* x.im (* x.re x.re))) (* x.im (* x.re x.re)))) (* (cbrt (* 3 (* x.im (* x.re x.re)))) (cbrt (* 3 (* x.im (* x.re x.re))))) (cbrt (* 3 (* x.im (* x.re x.re)))) (* (* (* 3 (* x.im (* x.re x.re))) (* 3 (* x.im (* x.re x.re)))) (* 3 (* x.im (* x.re x.re)))) (sqrt (* 3 (* x.im (* x.re x.re)))) (sqrt (* 3 (* x.im (* x.re x.re)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.re))) (* (sqrt 3) (* x.im (* x.re x.re))) (* 3 (* x.im (* x.re x.re))) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.197 * * [simplify]: iteration 0 : 156 enodes (cost 197 ) 0.201 * * [simplify]: iteration 1 : 594 enodes (cost 161 ) 0.214 * * [simplify]: iteration 2 : 2921 enodes (cost 161 ) 0.276 * * [simplify]: iteration 3 : 5001 enodes (cost 161 ) 0.278 * [simplify]: Simplified to: (expm1 (* x.im (* x.re x.re))) (log1p (* x.im (* x.re x.re))) (* x.im (* x.re x.re)) (* x.im (* x.re x.re)) (log (* x.im (* x.re x.re))) (log (* x.im (* x.re x.re))) (log (* x.im (* x.re x.re))) (exp (* x.im (* x.re x.re))) (pow (* x.im (* x.re x.re)) 3) (pow (* x.im (* x.re x.re)) 3) (* (cbrt (* x.im (* x.re x.re))) (cbrt (* x.im (* x.re x.re)))) (cbrt (* x.im (* x.re x.re))) (pow (* x.im (* x.re x.re)) 3) (sqrt (* x.im (* x.re x.re))) (sqrt (* x.im (* x.re x.re))) (* (sqrt x.im) x.re) (* (sqrt x.im) x.re) (* x.im x.re) (* (cbrt x.im) (* x.re x.re)) (* (sqrt x.im) (* x.re x.re)) (* x.im (* x.re x.re)) (expm1 (* 3 (* x.im (* x.re x.re)))) (log1p (* 3 (* x.im (* x.re x.re)))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (log (* 3 (* x.im (* x.re x.re)))) (log (* 3 (* x.im (* x.re x.re)))) (log (* 3 (* x.im (* x.re x.re)))) (log (* 3 (* x.im (* x.re x.re)))) (exp (* 3 (* x.im (* x.re x.re)))) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (* (cbrt (* 3 (* x.im (* x.re x.re)))) (cbrt (* 3 (* x.im (* x.re x.re))))) (cbrt (* 3 (* x.im (* x.re x.re)))) (pow (* 3 (* x.im (pow x.re 2))) 3) (sqrt (* 3 (* x.im (* x.re x.re)))) (sqrt (* 3 (* x.im (* x.re x.re)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.re))) (* (sqrt 3) (* x.im (* x.re x.re))) (* 3 (* x.im (pow x.re 2))) (* x.im (* x.re x.re)) (* x.im (* x.re x.re)) (* x.im (* x.re x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.278 * * * [progress]: adding candidates to table 0.355 * * [progress]: iteration 2 / 4 0.355 * * * [progress]: picking best candidate 0.364 * * * * [pick]: Picked # 0.364 * * * [progress]: localizing error 0.371 * * * [progress]: generating rewritten candidates 0.371 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.377 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.386 * * * [progress]: generating series expansions 0.386 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.386 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.386 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.386 * [taylor]: Taking taylor expansion of 3 in x.re 0.386 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.386 * [taylor]: Taking taylor expansion of x.im in x.re 0.386 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.386 * [taylor]: Taking taylor expansion of x.re in x.re 0.386 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.386 * [taylor]: Taking taylor expansion of 3 in x.im 0.386 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.386 * [taylor]: Taking taylor expansion of x.im in x.im 0.386 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.386 * [taylor]: Taking taylor expansion of x.re in x.im 0.386 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.386 * [taylor]: Taking taylor expansion of 3 in x.im 0.386 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.386 * [taylor]: Taking taylor expansion of x.im in x.im 0.386 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.386 * [taylor]: Taking taylor expansion of x.re in x.im 0.387 * [taylor]: Taking taylor expansion of 0 in x.re 0.388 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.388 * [taylor]: Taking taylor expansion of 3 in x.re 0.388 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.388 * [taylor]: Taking taylor expansion of x.re in x.re 0.390 * [taylor]: Taking taylor expansion of 0 in x.re 0.393 * [taylor]: Taking taylor expansion of 0 in x.re 0.393 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.393 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.393 * [taylor]: Taking taylor expansion of 3 in x.re 0.393 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.394 * [taylor]: Taking taylor expansion of x.im in x.re 0.394 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.394 * [taylor]: Taking taylor expansion of x.re in x.re 0.394 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.394 * [taylor]: Taking taylor expansion of 3 in x.im 0.394 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.394 * [taylor]: Taking taylor expansion of x.im in x.im 0.394 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.394 * [taylor]: Taking taylor expansion of x.re in x.im 0.395 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.395 * [taylor]: Taking taylor expansion of 3 in x.im 0.395 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.395 * [taylor]: Taking taylor expansion of x.im in x.im 0.395 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.395 * [taylor]: Taking taylor expansion of x.re in x.im 0.395 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.395 * [taylor]: Taking taylor expansion of 3 in x.re 0.395 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.395 * [taylor]: Taking taylor expansion of x.re in x.re 0.397 * [taylor]: Taking taylor expansion of 0 in x.re 0.399 * [taylor]: Taking taylor expansion of 0 in x.re 0.403 * [taylor]: Taking taylor expansion of 0 in x.re 0.407 * [taylor]: Taking taylor expansion of 0 in x.re 0.407 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.407 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.407 * [taylor]: Taking taylor expansion of -3 in x.re 0.407 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.407 * [taylor]: Taking taylor expansion of x.im in x.re 0.407 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.407 * [taylor]: Taking taylor expansion of x.re in x.re 0.407 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.407 * [taylor]: Taking taylor expansion of -3 in x.im 0.407 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.407 * [taylor]: Taking taylor expansion of x.im in x.im 0.407 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.407 * [taylor]: Taking taylor expansion of x.re in x.im 0.408 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.408 * [taylor]: Taking taylor expansion of -3 in x.im 0.408 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.408 * [taylor]: Taking taylor expansion of x.im in x.im 0.408 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.408 * [taylor]: Taking taylor expansion of x.re in x.im 0.409 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.409 * [taylor]: Taking taylor expansion of -3 in x.re 0.409 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.409 * [taylor]: Taking taylor expansion of x.re in x.re 0.410 * [taylor]: Taking taylor expansion of 0 in x.re 0.413 * [taylor]: Taking taylor expansion of 0 in x.re 0.416 * [taylor]: Taking taylor expansion of 0 in x.re 0.420 * [taylor]: Taking taylor expansion of 0 in x.re 0.420 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.420 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.im x.re) around 0 0.420 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.420 * [taylor]: Taking taylor expansion of x.im in x.re 0.420 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.420 * [taylor]: Taking taylor expansion of x.re in x.re 0.421 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.421 * [taylor]: Taking taylor expansion of x.im in x.im 0.421 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.421 * [taylor]: Taking taylor expansion of x.re in x.im 0.421 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.421 * [taylor]: Taking taylor expansion of x.im in x.im 0.421 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.421 * [taylor]: Taking taylor expansion of x.re in x.im 0.421 * [taylor]: Taking taylor expansion of 0 in x.re 0.421 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.421 * [taylor]: Taking taylor expansion of x.re in x.re 0.422 * [taylor]: Taking taylor expansion of 0 in x.re 0.424 * [taylor]: Taking taylor expansion of 0 in x.re 0.424 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.424 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.424 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.425 * [taylor]: Taking taylor expansion of x.im in x.re 0.425 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.425 * [taylor]: Taking taylor expansion of x.re in x.re 0.425 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.425 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.425 * [taylor]: Taking taylor expansion of x.im in x.im 0.425 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.425 * [taylor]: Taking taylor expansion of x.re in x.im 0.425 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.426 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.426 * [taylor]: Taking taylor expansion of x.im in x.im 0.426 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.426 * [taylor]: Taking taylor expansion of x.re in x.im 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.426 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.426 * [taylor]: Taking taylor expansion of x.re in x.re 0.428 * [taylor]: Taking taylor expansion of 0 in x.re 0.430 * [taylor]: Taking taylor expansion of 0 in x.re 0.434 * [taylor]: Taking taylor expansion of 0 in x.re 0.437 * [taylor]: Taking taylor expansion of 0 in x.re 0.438 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.438 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 0.438 * [taylor]: Taking taylor expansion of -1 in x.re 0.438 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.438 * [taylor]: Taking taylor expansion of x.im in x.re 0.438 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.438 * [taylor]: Taking taylor expansion of x.re in x.re 0.438 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.438 * [taylor]: Taking taylor expansion of -1 in x.im 0.438 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.438 * [taylor]: Taking taylor expansion of x.im in x.im 0.438 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.438 * [taylor]: Taking taylor expansion of x.re in x.im 0.439 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.439 * [taylor]: Taking taylor expansion of -1 in x.im 0.439 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.439 * [taylor]: Taking taylor expansion of x.im in x.im 0.439 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.439 * [taylor]: Taking taylor expansion of x.re in x.im 0.439 * [taylor]: Taking taylor expansion of (/ -1 (pow x.re 2)) in x.re 0.439 * [taylor]: Taking taylor expansion of -1 in x.re 0.440 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.440 * [taylor]: Taking taylor expansion of x.re in x.re 0.441 * [taylor]: Taking taylor expansion of 0 in x.re 0.444 * [taylor]: Taking taylor expansion of 0 in x.re 0.447 * [taylor]: Taking taylor expansion of 0 in x.re 0.451 * [taylor]: Taking taylor expansion of 0 in x.re 0.451 * * * [progress]: simplifying candidates 0.452 * [simplify]: Simplifying using # : (expm1 (* 3 (* (* x.im x.re) x.re))) (log1p (* 3 (* (* x.im x.re) x.re))) (* 3 (* (* x.im x.re) x.re)) (* 3 (* (* x.im x.re) x.re)) (* 3 (* (* x.im x.re) x.re)) (+ (log 3) (+ (+ (log x.im) (log x.re)) (log x.re))) (+ (log 3) (+ (log (* x.im x.re)) (log x.re))) (+ (log 3) (log (* (* x.im x.re) x.re))) (log (* 3 (* (* x.im x.re) x.re))) (exp (* 3 (* (* x.im x.re) x.re))) (* (* (* 3 3) 3) (* (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re)) (* (* x.re x.re) x.re))) (* (* (* 3 3) 3) (* (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re)) (* (* x.re x.re) x.re))) (* (* (* 3 3) 3) (* (* (* (* x.im x.re) x.re) (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re))) (* (cbrt (* 3 (* (* x.im x.re) x.re))) (cbrt (* 3 (* (* x.im x.re) x.re)))) (cbrt (* 3 (* (* x.im x.re) x.re))) (* (* (* 3 (* (* x.im x.re) x.re)) (* 3 (* (* x.im x.re) x.re))) (* 3 (* (* x.im x.re) x.re))) (sqrt (* 3 (* (* x.im x.re) x.re))) (sqrt (* 3 (* (* x.im x.re) x.re))) (* 3 (* x.im x.re)) (* (cbrt 3) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re)) (* 3 (* (* x.im x.re) x.re)) (expm1 (* (* x.im x.re) x.re)) (log1p (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) (+ (+ (log x.im) (log x.re)) (log x.re)) (+ (log (* x.im x.re)) (log x.re)) (log (* (* x.im x.re) x.re)) (exp (* (* x.im x.re) x.re)) (* (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re)) (* (* x.re x.re) x.re)) (* (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re)) (* (* x.re x.re) x.re)) (* (cbrt (* (* x.im x.re) x.re)) (cbrt (* (* x.im x.re) x.re))) (cbrt (* (* x.im x.re) x.re)) (* (* (* (* x.im x.re) x.re) (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re)) (sqrt (* (* x.im x.re) x.re)) (sqrt (* (* x.im x.re) x.re)) (* (* x.im x.re) (* (cbrt x.re) (cbrt x.re))) (* (* x.im x.re) (sqrt x.re)) (* (* x.im x.re) 1) (* x.re x.re) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) 0.456 * * [simplify]: iteration 0 : 169 enodes (cost 195 ) 0.461 * * [simplify]: iteration 1 : 861 enodes (cost 159 ) 0.485 * * [simplify]: iteration 2 : 5002 enodes (cost 159 ) 0.486 * [simplify]: Simplified to: (expm1 (* 3 (* (* x.im x.re) x.re))) (log1p (* 3 (* (* x.im x.re) x.re))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (log (* 3 (* (* x.im x.re) x.re))) (log (* 3 (* (* x.im x.re) x.re))) (log (* 3 (* (* x.im x.re) x.re))) (log (* 3 (* (* x.im x.re) x.re))) (exp (* 3 (* (* x.im x.re) x.re))) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (* (cbrt (* 3 (* (* x.im x.re) x.re))) (cbrt (* 3 (* (* x.im x.re) x.re)))) (cbrt (* 3 (* (* x.im x.re) x.re))) (pow (* 3 (* x.im (pow x.re 2))) 3) (sqrt (* 3 (* (* x.im x.re) x.re))) (sqrt (* 3 (* (* x.im x.re) x.re))) (* 3 (* x.im x.re)) (* (cbrt 3) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re)) (* 3 (* x.im (pow x.re 2))) (expm1 (* (* x.im x.re) x.re)) (log1p (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) (log (* (* x.im x.re) x.re)) (log (* (* x.im x.re) x.re)) (log (* (* x.im x.re) x.re)) (exp (* (* x.im x.re) x.re)) (pow (* (* x.im x.re) x.re) 3) (pow (* (* x.im x.re) x.re) 3) (* (cbrt (* (* x.im x.re) x.re)) (cbrt (* (* x.im x.re) x.re))) (cbrt (* (* x.im x.re) x.re)) (pow (* (* x.im x.re) x.re) 3) (sqrt (* (* x.im x.re) x.re)) (sqrt (* (* x.im x.re) x.re)) (* (* x.im x.re) (* (cbrt x.re) (cbrt x.re))) (* (* x.im x.re) (sqrt x.re)) (* x.im x.re) (pow x.re 2) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) 0.487 * * * [progress]: adding candidates to table 0.551 * * [progress]: iteration 3 / 4 0.551 * * * [progress]: picking best candidate 0.558 * * * * [pick]: Picked # 0.558 * * * [progress]: localizing error 0.564 * * * [progress]: generating rewritten candidates 0.565 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.572 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.580 * * * [progress]: generating series expansions 0.580 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.580 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.580 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.580 * [taylor]: Taking taylor expansion of 3 in x.re 0.580 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.580 * [taylor]: Taking taylor expansion of x.im in x.re 0.580 * [taylor]: Taking taylor expansion of x.re in x.re 0.580 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.580 * [taylor]: Taking taylor expansion of 3 in x.im 0.580 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.580 * [taylor]: Taking taylor expansion of x.im in x.im 0.580 * [taylor]: Taking taylor expansion of x.re in x.im 0.580 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.580 * [taylor]: Taking taylor expansion of 3 in x.im 0.580 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.580 * [taylor]: Taking taylor expansion of x.im in x.im 0.580 * [taylor]: Taking taylor expansion of x.re in x.im 0.581 * [taylor]: Taking taylor expansion of 0 in x.re 0.581 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.581 * [taylor]: Taking taylor expansion of 3 in x.re 0.581 * [taylor]: Taking taylor expansion of x.re in x.re 0.583 * [taylor]: Taking taylor expansion of 0 in x.re 0.585 * [taylor]: Taking taylor expansion of 0 in x.re 0.588 * [taylor]: Taking taylor expansion of 0 in x.re 0.588 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.588 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.588 * [taylor]: Taking taylor expansion of 3 in x.re 0.588 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.588 * [taylor]: Taking taylor expansion of x.im in x.re 0.588 * [taylor]: Taking taylor expansion of x.re in x.re 0.588 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.588 * [taylor]: Taking taylor expansion of 3 in x.im 0.588 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.588 * [taylor]: Taking taylor expansion of x.im in x.im 0.588 * [taylor]: Taking taylor expansion of x.re in x.im 0.589 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.589 * [taylor]: Taking taylor expansion of 3 in x.im 0.589 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.589 * [taylor]: Taking taylor expansion of x.im in x.im 0.589 * [taylor]: Taking taylor expansion of x.re in x.im 0.589 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.589 * [taylor]: Taking taylor expansion of 3 in x.re 0.589 * [taylor]: Taking taylor expansion of x.re in x.re 0.590 * [taylor]: Taking taylor expansion of 0 in x.re 0.592 * [taylor]: Taking taylor expansion of 0 in x.re 0.593 * [taylor]: Taking taylor expansion of 0 in x.re 0.594 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.594 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.594 * [taylor]: Taking taylor expansion of 3 in x.re 0.594 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.594 * [taylor]: Taking taylor expansion of x.im in x.re 0.594 * [taylor]: Taking taylor expansion of x.re in x.re 0.595 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.595 * [taylor]: Taking taylor expansion of 3 in x.im 0.595 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.595 * [taylor]: Taking taylor expansion of x.im in x.im 0.595 * [taylor]: Taking taylor expansion of x.re in x.im 0.595 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.595 * [taylor]: Taking taylor expansion of 3 in x.im 0.595 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.595 * [taylor]: Taking taylor expansion of x.im in x.im 0.595 * [taylor]: Taking taylor expansion of x.re in x.im 0.595 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.596 * [taylor]: Taking taylor expansion of 3 in x.re 0.596 * [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 0.600 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.600 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.600 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.600 * [taylor]: Taking taylor expansion of 3 in x.re 0.600 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.601 * [taylor]: Taking taylor expansion of x.im in x.re 0.601 * [taylor]: Taking taylor expansion of (pow x.re 2) 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 (pow x.re 2))) in x.im 0.601 * [taylor]: Taking taylor expansion of 3 in x.im 0.601 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.601 * [taylor]: Taking taylor expansion of x.im in x.im 0.601 * [taylor]: Taking taylor expansion of (pow x.re 2) 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 (pow x.re 2))) in x.im 0.601 * [taylor]: Taking taylor expansion of 3 in x.im 0.601 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.601 * [taylor]: Taking taylor expansion of x.im in x.im 0.601 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.601 * [taylor]: Taking taylor expansion of x.re in x.im 0.601 * [taylor]: Taking taylor expansion of 0 in x.re 0.602 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.602 * [taylor]: Taking taylor expansion of 3 in x.re 0.602 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.602 * [taylor]: Taking taylor expansion of x.re in x.re 0.604 * [taylor]: Taking taylor expansion of 0 in x.re 0.607 * [taylor]: Taking taylor expansion of 0 in x.re 0.607 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.607 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.607 * [taylor]: Taking taylor expansion of 3 in x.re 0.607 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.608 * [taylor]: Taking taylor expansion of x.im in x.re 0.608 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.608 * [taylor]: Taking taylor expansion of x.re in x.re 0.608 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.608 * [taylor]: Taking taylor expansion of 3 in x.im 0.608 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.608 * [taylor]: Taking taylor expansion of x.im in x.im 0.608 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.608 * [taylor]: Taking taylor expansion of x.re in x.im 0.608 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.609 * [taylor]: Taking taylor expansion of 3 in x.im 0.609 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.609 * [taylor]: Taking taylor expansion of x.im in x.im 0.609 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.609 * [taylor]: Taking taylor expansion of x.re in x.im 0.609 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.609 * [taylor]: Taking taylor expansion of 3 in x.re 0.609 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.609 * [taylor]: Taking taylor expansion of x.re in x.re 0.611 * [taylor]: Taking taylor expansion of 0 in x.re 0.613 * [taylor]: Taking taylor expansion of 0 in x.re 0.617 * [taylor]: Taking taylor expansion of 0 in x.re 0.621 * [taylor]: Taking taylor expansion of 0 in x.re 0.621 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.621 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.621 * [taylor]: Taking taylor expansion of -3 in x.re 0.621 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.621 * [taylor]: Taking taylor expansion of x.im in x.re 0.621 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.621 * [taylor]: Taking taylor expansion of x.re in x.re 0.621 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.621 * [taylor]: Taking taylor expansion of -3 in x.im 0.621 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.621 * [taylor]: Taking taylor expansion of x.im in x.im 0.621 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.621 * [taylor]: Taking taylor expansion of x.re in x.im 0.622 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.622 * [taylor]: Taking taylor expansion of -3 in x.im 0.622 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.622 * [taylor]: Taking taylor expansion of x.im in x.im 0.622 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.622 * [taylor]: Taking taylor expansion of x.re in x.im 0.623 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.623 * [taylor]: Taking taylor expansion of -3 in x.re 0.623 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.623 * [taylor]: Taking taylor expansion of x.re in x.re 0.624 * [taylor]: Taking taylor expansion of 0 in x.re 0.627 * [taylor]: Taking taylor expansion of 0 in x.re 0.630 * [taylor]: Taking taylor expansion of 0 in x.re 0.634 * [taylor]: Taking taylor expansion of 0 in x.re 0.634 * * * [progress]: simplifying candidates 0.635 * [simplify]: Simplifying using # : (expm1 (* 3 (* x.im x.re))) (log1p (* 3 (* x.im x.re))) (* 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)) (expm1 (* (* 3 (* x.im x.re)) x.re)) (log1p (* (* 3 (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) x.re) (* (* 3 (* x.im x.re)) x.re) (* (* 3 (* x.im x.re)) x.re) (+ (+ (log 3) (+ (log x.im) (log x.re))) (log x.re)) (+ (+ (log 3) (log (* x.im x.re))) (log x.re)) (+ (log (* 3 (* x.im x.re))) (log x.re)) (log (* (* 3 (* x.im x.re)) x.re)) (exp (* (* 3 (* x.im x.re)) x.re)) (* (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re))) (* (* x.re x.re) x.re)) (* (* (* (* 3 3) 3) (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re))) (* (* x.re x.re) x.re)) (* (* (* (* 3 (* x.im x.re)) (* 3 (* x.im x.re))) (* 3 (* x.im x.re))) (* (* x.re x.re) x.re)) (* (cbrt (* (* 3 (* x.im x.re)) x.re)) (cbrt (* (* 3 (* x.im x.re)) x.re))) (cbrt (* (* 3 (* x.im x.re)) x.re)) (* (* (* (* 3 (* x.im x.re)) x.re) (* (* 3 (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) x.re)) (sqrt (* (* 3 (* x.im x.re)) x.re)) (sqrt (* (* 3 (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) (* (cbrt x.re) (cbrt x.re))) (* (* 3 (* x.im x.re)) (sqrt x.re)) (* (* 3 (* x.im x.re)) 1) (* (* x.im x.re) x.re) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.639 * * [simplify]: iteration 0 : 169 enodes (cost 191 ) 0.644 * * [simplify]: iteration 1 : 855 enodes (cost 159 ) 0.669 * * [simplify]: iteration 2 : 5001 enodes (cost 159 ) 0.671 * [simplify]: Simplified to: (expm1 (* 3 (* x.im x.re))) (log1p (* 3 (* x.im x.re))) (* 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)) (expm1 (* (* 3 (* x.im x.re)) x.re)) (log1p (* (* 3 (* x.im x.re)) x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (log (* (* 3 (* x.im x.re)) x.re)) (log (* (* 3 (* x.im x.re)) x.re)) (log (* (* 3 (* x.im x.re)) x.re)) (log (* (* 3 (* x.im x.re)) x.re)) (exp (* (* 3 (* x.im x.re)) x.re)) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (* (cbrt (* (* 3 (* x.im x.re)) x.re)) (cbrt (* (* 3 (* x.im x.re)) x.re))) (cbrt (* (* 3 (* x.im x.re)) x.re)) (pow (* 3 (* x.im (pow x.re 2))) 3) (sqrt (* (* 3 (* x.im x.re)) x.re)) (sqrt (* (* 3 (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) (* (cbrt x.re) (cbrt x.re))) (* (* 3 (* x.im x.re)) (sqrt x.re)) (* 3 (* x.im x.re)) (* (* x.im x.re) x.re) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.671 * * * [progress]: adding candidates to table 0.731 * * [progress]: iteration 4 / 4 0.731 * * * [progress]: picking best candidate 0.739 * * * * [pick]: Picked # 0.739 * * * [progress]: localizing error 0.745 * * * [progress]: generating rewritten candidates 0.745 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.753 * * * [progress]: generating series expansions 0.753 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.753 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.753 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.753 * [taylor]: Taking taylor expansion of 3 in x.re 0.753 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.753 * [taylor]: Taking taylor expansion of x.im in x.re 0.753 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.753 * [taylor]: Taking taylor expansion of x.re in x.re 0.753 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.753 * [taylor]: Taking taylor expansion of 3 in x.im 0.753 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.753 * [taylor]: Taking taylor expansion of x.im in x.im 0.753 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.753 * [taylor]: Taking taylor expansion of x.re in x.im 0.753 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.753 * [taylor]: Taking taylor expansion of 3 in x.im 0.753 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.753 * [taylor]: Taking taylor expansion of x.im in x.im 0.753 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.753 * [taylor]: Taking taylor expansion of x.re in x.im 0.754 * [taylor]: Taking taylor expansion of 0 in x.re 0.755 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.755 * [taylor]: Taking taylor expansion of 3 in x.re 0.755 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.755 * [taylor]: Taking taylor expansion of x.re in x.re 0.757 * [taylor]: Taking taylor expansion of 0 in x.re 0.760 * [taylor]: Taking taylor expansion of 0 in x.re 0.763 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.763 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.763 * [taylor]: Taking taylor expansion of 3 in x.re 0.763 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.763 * [taylor]: Taking taylor expansion of x.im in x.re 0.763 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.763 * [taylor]: Taking taylor expansion of x.re in x.re 0.763 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.763 * [taylor]: Taking taylor expansion of 3 in x.im 0.763 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.763 * [taylor]: Taking taylor expansion of x.im in x.im 0.763 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.763 * [taylor]: Taking taylor expansion of x.re in x.im 0.764 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.764 * [taylor]: Taking taylor expansion of 3 in x.im 0.764 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.764 * [taylor]: Taking taylor expansion of x.im in x.im 0.764 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.764 * [taylor]: Taking taylor expansion of x.re in x.im 0.765 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.765 * [taylor]: Taking taylor expansion of 3 in x.re 0.765 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.765 * [taylor]: Taking taylor expansion of x.re in x.re 0.766 * [taylor]: Taking taylor expansion of 0 in x.re 0.769 * [taylor]: Taking taylor expansion of 0 in x.re 0.772 * [taylor]: Taking taylor expansion of 0 in x.re 0.776 * [taylor]: Taking taylor expansion of 0 in x.re 0.776 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.776 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.776 * [taylor]: Taking taylor expansion of -3 in x.re 0.776 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.776 * [taylor]: Taking taylor expansion of x.im in x.re 0.776 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.776 * [taylor]: Taking taylor expansion of x.re in x.re 0.777 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.777 * [taylor]: Taking taylor expansion of -3 in x.im 0.777 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.777 * [taylor]: Taking taylor expansion of x.im in x.im 0.777 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.777 * [taylor]: Taking taylor expansion of x.re in x.im 0.777 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.777 * [taylor]: Taking taylor expansion of -3 in x.im 0.777 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.777 * [taylor]: Taking taylor expansion of x.im in x.im 0.777 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.777 * [taylor]: Taking taylor expansion of x.re in x.im 0.778 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.778 * [taylor]: Taking taylor expansion of -3 in x.re 0.778 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.778 * [taylor]: Taking taylor expansion of x.re in x.re 0.780 * [taylor]: Taking taylor expansion of 0 in x.re 0.782 * [taylor]: Taking taylor expansion of 0 in x.re 0.786 * [taylor]: Taking taylor expansion of 0 in x.re 0.790 * [taylor]: Taking taylor expansion of 0 in x.re 0.790 * * * [progress]: simplifying candidates 0.790 * [simplify]: Simplifying using # : (expm1 (* (* 3 x.im) (* x.re x.re))) (log1p (* (* 3 x.im) (* x.re x.re))) (* (* 3 x.im) (* x.re x.re)) (* (* 3 x.im) (* x.re x.re)) (* (* 3 x.im) (* x.re x.re)) (* (* 3 x.im) (* x.re x.re)) (+ (+ (log 3) (log x.im)) (+ (log x.re) (log x.re))) (+ (+ (log 3) (log x.im)) (log (* x.re x.re))) (+ (log (* 3 x.im)) (+ (log x.re) (log x.re))) (+ (log (* 3 x.im)) (log (* x.re x.re))) (log (* (* 3 x.im) (* x.re x.re))) (exp (* (* 3 x.im) (* x.re x.re))) (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* (* x.re x.re) x.re) (* (* x.re x.re) x.re))) (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* (* x.re x.re) (* x.re x.re)) (* x.re x.re))) (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* (* x.re x.re) x.re) (* (* x.re x.re) x.re))) (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* (* x.re x.re) (* x.re x.re)) (* x.re x.re))) (* (cbrt (* (* 3 x.im) (* x.re x.re))) (cbrt (* (* 3 x.im) (* x.re x.re)))) (cbrt (* (* 3 x.im) (* x.re x.re))) (* (* (* (* 3 x.im) (* x.re x.re)) (* (* 3 x.im) (* x.re x.re))) (* (* 3 x.im) (* x.re x.re))) (sqrt (* (* 3 x.im) (* x.re x.re))) (sqrt (* (* 3 x.im) (* x.re x.re))) (* (* 3 x.im) x.re) (* x.im (* x.re x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.794 * * [simplify]: iteration 0 : 134 enodes (cost 126 ) 0.797 * * [simplify]: iteration 1 : 551 enodes (cost 98 ) 0.810 * * [simplify]: iteration 2 : 3116 enodes (cost 98 ) 0.878 * * [simplify]: iteration 3 : 5001 enodes (cost 98 ) 0.879 * [simplify]: Simplified to: (expm1 (* (* 3 x.im) (* x.re x.re))) (log1p (* (* 3 x.im) (* x.re x.re))) (* (* 3 x.im) (* x.re x.re)) (* (* 3 x.im) (* x.re x.re)) (* (* 3 x.im) (* x.re x.re)) (* (* 3 x.im) (* x.re x.re)) (log (* (* 3 x.im) (* x.re x.re))) (log (* (* 3 x.im) (* x.re x.re))) (log (* (* 3 x.im) (* x.re x.re))) (log (* (* 3 x.im) (* x.re x.re))) (log (* (* 3 x.im) (* x.re x.re))) (exp (* (* 3 x.im) (* x.re x.re))) (pow (* (* 3 x.im) (* x.re x.re)) 3) (pow (* (* 3 x.im) (* x.re x.re)) 3) (pow (* (* 3 x.im) (* x.re x.re)) 3) (pow (* (* 3 x.im) (* x.re x.re)) 3) (* (cbrt (* (* 3 x.im) (* x.re x.re))) (cbrt (* (* 3 x.im) (* x.re x.re)))) (cbrt (* (* 3 x.im) (* x.re x.re))) (pow (* (* 3 x.im) (* x.re x.re)) 3) (sqrt (* (* 3 x.im) (* x.re x.re))) (sqrt (* (* 3 x.im) (* x.re x.re))) (* (* 3 x.im) x.re) (* x.im (* x.re x.re)) (* (* 3 x.im) (* x.re x.re)) (* (* 3 x.im) (* x.re x.re)) (* (* 3 x.im) (* x.re x.re)) 0.879 * * * [progress]: adding candidates to table 0.903 * [progress]: [Phase 3 of 3] Extracting. 0.903 * * [regime]: Finding splitpoints for: (# # # # # #) 0.904 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 0.904 * * * * [regimes]: Trying to branch on x.im from (# # # # # #) 0.927 * * * * [regimes]: Trying to branch on x.re from (# # # # # #) 0.948 * * * [regime]: Found split indices: #