14.376 * [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 : 20 enodes (cost 9 ) 0.037 * * [simplify]: iteration 1 : 48 enodes (cost 9 ) 0.039 * * [simplify]: iteration 2 : 113 enodes (cost 9 ) 0.041 * * [simplify]: iteration 3 : 277 enodes (cost 5 ) 0.046 * * [simplify]: iteration 4 : 705 enodes (cost 5 ) 0.057 * * [simplify]: iteration 5 : 1571 enodes (cost 5 ) 0.087 * * [simplify]: iteration 6 : 4493 enodes (cost 5 ) 0.182 * * [simplify]: iteration 7 : 5002 enodes (cost 5 ) 0.182 * [simplify]: Simplified to: (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) 0.185 * * [progress]: iteration 1 / 4 0.185 * * * [progress]: picking best candidate 0.188 * * * * [pick]: Picked # 0.189 * * * [progress]: localizing error 0.196 * * * [progress]: generating rewritten candidates 0.196 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.201 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.209 * * * [progress]: generating series expansions 0.209 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.210 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.im x.re) around 0 0.210 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.210 * [taylor]: Taking taylor expansion of x.im in x.re 0.210 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.210 * [taylor]: Taking taylor expansion of x.re in x.re 0.210 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.210 * [taylor]: Taking taylor expansion of x.im in x.im 0.210 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.210 * [taylor]: Taking taylor expansion of x.re in x.im 0.210 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.210 * [taylor]: Taking taylor expansion of x.im in x.im 0.210 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.210 * [taylor]: Taking taylor expansion of x.re in x.im 0.210 * [taylor]: Taking taylor expansion of 0 in x.re 0.211 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.211 * [taylor]: Taking taylor expansion of x.re in x.re 0.212 * [taylor]: Taking taylor expansion of 0 in x.re 0.213 * [taylor]: Taking taylor expansion of 0 in x.re 0.214 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.214 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.214 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.214 * [taylor]: Taking taylor expansion of x.im in x.re 0.214 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.214 * [taylor]: Taking taylor expansion of x.re in x.re 0.214 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.214 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.214 * [taylor]: Taking taylor expansion of x.im in x.im 0.214 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.214 * [taylor]: Taking taylor expansion of x.re in x.im 0.215 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.215 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.215 * [taylor]: Taking taylor expansion of x.im in x.im 0.215 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.215 * [taylor]: Taking taylor expansion of x.re in x.im 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.215 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.215 * [taylor]: Taking taylor expansion of x.re in x.re 0.217 * [taylor]: Taking taylor expansion of 0 in x.re 0.219 * [taylor]: Taking taylor expansion of 0 in x.re 0.222 * [taylor]: Taking taylor expansion of 0 in x.re 0.229 * [taylor]: Taking taylor expansion of 0 in x.re 0.229 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.229 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 0.229 * [taylor]: Taking taylor expansion of -1 in x.re 0.229 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.229 * [taylor]: Taking taylor expansion of x.im in x.re 0.229 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.229 * [taylor]: Taking taylor expansion of x.re in x.re 0.229 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.229 * [taylor]: Taking taylor expansion of -1 in x.im 0.229 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.229 * [taylor]: Taking taylor expansion of x.im in x.im 0.229 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.229 * [taylor]: Taking taylor expansion of x.re in x.im 0.230 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.230 * [taylor]: Taking taylor expansion of -1 in x.im 0.230 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.230 * [taylor]: Taking taylor expansion of x.im in x.im 0.230 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.230 * [taylor]: Taking taylor expansion of x.re in x.im 0.231 * [taylor]: Taking taylor expansion of (/ -1 (pow x.re 2)) in x.re 0.231 * [taylor]: Taking taylor expansion of -1 in x.re 0.231 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.231 * [taylor]: Taking taylor expansion of x.re in x.re 0.232 * [taylor]: Taking taylor expansion of 0 in x.re 0.235 * [taylor]: Taking taylor expansion of 0 in x.re 0.238 * [taylor]: Taking taylor expansion of 0 in x.re 0.241 * [taylor]: Taking taylor expansion of 0 in x.re 0.241 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.242 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.242 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.242 * [taylor]: Taking taylor expansion of 3 in x.re 0.242 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.242 * [taylor]: Taking taylor expansion of x.im in x.re 0.242 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.242 * [taylor]: Taking taylor expansion of x.re in x.re 0.242 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.242 * [taylor]: Taking taylor expansion of 3 in x.im 0.242 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.242 * [taylor]: Taking taylor expansion of x.im in x.im 0.242 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.242 * [taylor]: Taking taylor expansion of x.re in x.im 0.242 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.242 * [taylor]: Taking taylor expansion of 3 in x.im 0.242 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.242 * [taylor]: Taking taylor expansion of x.im in x.im 0.242 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.242 * [taylor]: Taking taylor expansion of x.re in x.im 0.243 * [taylor]: Taking taylor expansion of 0 in x.re 0.243 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.243 * [taylor]: Taking taylor expansion of 3 in x.re 0.243 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.243 * [taylor]: Taking taylor expansion of x.re in x.re 0.245 * [taylor]: Taking taylor expansion of 0 in x.re 0.248 * [taylor]: Taking taylor expansion of 0 in x.re 0.248 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.248 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.248 * [taylor]: Taking taylor expansion of 3 in x.re 0.248 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.248 * [taylor]: Taking taylor expansion of x.im in x.re 0.248 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.248 * [taylor]: Taking taylor expansion of x.re in x.re 0.249 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.249 * [taylor]: Taking taylor expansion of 3 in x.im 0.249 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.249 * [taylor]: Taking taylor expansion of x.im in x.im 0.249 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.249 * [taylor]: Taking taylor expansion of x.re in x.im 0.249 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.249 * [taylor]: Taking taylor expansion of 3 in x.im 0.249 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.249 * [taylor]: Taking taylor expansion of x.im in x.im 0.249 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.249 * [taylor]: Taking taylor expansion of x.re in x.im 0.250 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.250 * [taylor]: Taking taylor expansion of 3 in x.re 0.250 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.250 * [taylor]: Taking taylor expansion of x.re in x.re 0.251 * [taylor]: Taking taylor expansion of 0 in x.re 0.254 * [taylor]: Taking taylor expansion of 0 in x.re 0.257 * [taylor]: Taking taylor expansion of 0 in x.re 0.260 * [taylor]: Taking taylor expansion of 0 in x.re 0.261 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.261 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.261 * [taylor]: Taking taylor expansion of -3 in x.re 0.261 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.261 * [taylor]: Taking taylor expansion of x.im in x.re 0.261 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.261 * [taylor]: Taking taylor expansion of x.re in x.re 0.261 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.261 * [taylor]: Taking taylor expansion of -3 in x.im 0.261 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.261 * [taylor]: Taking taylor expansion of x.im in x.im 0.261 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.261 * [taylor]: Taking taylor expansion of x.re in x.im 0.262 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.262 * [taylor]: Taking taylor expansion of -3 in x.im 0.262 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.262 * [taylor]: Taking taylor expansion of x.im in x.im 0.262 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.262 * [taylor]: Taking taylor expansion of x.re in x.im 0.262 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.262 * [taylor]: Taking taylor expansion of -3 in x.re 0.263 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.263 * [taylor]: Taking taylor expansion of x.re in x.re 0.264 * [taylor]: Taking taylor expansion of 0 in x.re 0.266 * [taylor]: Taking taylor expansion of 0 in x.re 0.269 * [taylor]: Taking taylor expansion of 0 in x.re 0.273 * [taylor]: Taking taylor expansion of 0 in x.re 0.273 * * * [progress]: simplifying candidates 0.274 * [simplify]: Simplifying using # : (* 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)) (* 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))) 0.277 * * [simplify]: iteration 0 : 152 enodes (cost 183 ) 0.281 * * [simplify]: iteration 1 : 589 enodes (cost 147 ) 0.294 * * [simplify]: iteration 2 : 2908 enodes (cost 147 ) 0.354 * * [simplify]: iteration 3 : 5003 enodes (cost 147 ) 0.355 * [simplify]: Simplified to: (* 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)) (* 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))) 0.355 * * * [progress]: adding candidates to table 0.420 * * [progress]: iteration 2 / 4 0.420 * * * [progress]: picking best candidate 0.429 * * * * [pick]: Picked # 0.429 * * * [progress]: localizing error 0.438 * * * [progress]: generating rewritten candidates 0.438 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.445 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.451 * * * [progress]: generating series expansions 0.451 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.451 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.451 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.451 * [taylor]: Taking taylor expansion of 3 in x.re 0.451 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.451 * [taylor]: Taking taylor expansion of x.im in x.re 0.451 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.451 * [taylor]: Taking taylor expansion of x.re in x.re 0.451 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.451 * [taylor]: Taking taylor expansion of 3 in x.im 0.451 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.451 * [taylor]: Taking taylor expansion of x.im in x.im 0.451 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.451 * [taylor]: Taking taylor expansion of x.re in x.im 0.451 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.451 * [taylor]: Taking taylor expansion of 3 in x.im 0.451 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.451 * [taylor]: Taking taylor expansion of x.im in x.im 0.451 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.451 * [taylor]: Taking taylor expansion of x.re in x.im 0.452 * [taylor]: Taking taylor expansion of 0 in x.re 0.452 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.452 * [taylor]: Taking taylor expansion of 3 in x.re 0.452 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.453 * [taylor]: Taking taylor expansion of x.re in x.re 0.455 * [taylor]: Taking taylor expansion of 0 in x.re 0.457 * [taylor]: Taking taylor expansion of 0 in x.re 0.458 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.458 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.458 * [taylor]: Taking taylor expansion of 3 in x.re 0.458 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.458 * [taylor]: Taking taylor expansion of x.im in x.re 0.458 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.458 * [taylor]: Taking taylor expansion of x.re in x.re 0.458 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.458 * [taylor]: Taking taylor expansion of 3 in x.im 0.458 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.458 * [taylor]: Taking taylor expansion of x.im in x.im 0.458 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.458 * [taylor]: Taking taylor expansion of x.re in x.im 0.459 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.459 * [taylor]: Taking taylor expansion of 3 in x.im 0.459 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.459 * [taylor]: Taking taylor expansion of x.im in x.im 0.459 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.459 * [taylor]: Taking taylor expansion of x.re in x.im 0.459 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.459 * [taylor]: Taking taylor expansion of 3 in x.re 0.459 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.459 * [taylor]: Taking taylor expansion of x.re in x.re 0.461 * [taylor]: Taking taylor expansion of 0 in x.re 0.463 * [taylor]: Taking taylor expansion of 0 in x.re 0.466 * [taylor]: Taking taylor expansion of 0 in x.re 0.470 * [taylor]: Taking taylor expansion of 0 in x.re 0.470 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.470 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.470 * [taylor]: Taking taylor expansion of -3 in x.re 0.470 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.470 * [taylor]: Taking taylor expansion of x.im in x.re 0.470 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.470 * [taylor]: Taking taylor expansion of x.re in x.re 0.470 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.470 * [taylor]: Taking taylor expansion of -3 in x.im 0.470 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.471 * [taylor]: Taking taylor expansion of x.im in x.im 0.471 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.471 * [taylor]: Taking taylor expansion of x.re in x.im 0.471 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.471 * [taylor]: Taking taylor expansion of -3 in x.im 0.471 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.471 * [taylor]: Taking taylor expansion of x.im in x.im 0.471 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.471 * [taylor]: Taking taylor expansion of x.re in x.im 0.472 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.472 * [taylor]: Taking taylor expansion of -3 in x.re 0.472 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.472 * [taylor]: Taking taylor expansion of x.re in x.re 0.473 * [taylor]: Taking taylor expansion of 0 in x.re 0.476 * [taylor]: Taking taylor expansion of 0 in x.re 0.479 * [taylor]: Taking taylor expansion of 0 in x.re 0.482 * [taylor]: Taking taylor expansion of 0 in x.re 0.482 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.482 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.im x.re) around 0 0.483 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.483 * [taylor]: Taking taylor expansion of x.im in x.re 0.483 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.483 * [taylor]: Taking taylor expansion of x.re in x.re 0.483 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.483 * [taylor]: Taking taylor expansion of x.im in x.im 0.483 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.483 * [taylor]: Taking taylor expansion of x.re in x.im 0.483 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.483 * [taylor]: Taking taylor expansion of x.im in x.im 0.483 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.483 * [taylor]: Taking taylor expansion of x.re in x.im 0.483 * [taylor]: Taking taylor expansion of 0 in x.re 0.483 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.483 * [taylor]: Taking taylor expansion of x.re in x.re 0.484 * [taylor]: Taking taylor expansion of 0 in x.re 0.486 * [taylor]: Taking taylor expansion of 0 in x.re 0.486 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.486 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.486 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.486 * [taylor]: Taking taylor expansion of x.im in x.re 0.486 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.486 * [taylor]: Taking taylor expansion of x.re in x.re 0.487 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.487 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.487 * [taylor]: Taking taylor expansion of x.im in x.im 0.487 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.487 * [taylor]: Taking taylor expansion of x.re in x.im 0.487 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.487 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.487 * [taylor]: Taking taylor expansion of x.im in x.im 0.487 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.487 * [taylor]: Taking taylor expansion of x.re in x.im 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.488 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.488 * [taylor]: Taking taylor expansion of x.re in x.re 0.489 * [taylor]: Taking taylor expansion of 0 in x.re 0.491 * [taylor]: Taking taylor expansion of 0 in x.re 0.494 * [taylor]: Taking taylor expansion of 0 in x.re 0.498 * [taylor]: Taking taylor expansion of 0 in x.re 0.498 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.498 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 0.498 * [taylor]: Taking taylor expansion of -1 in x.re 0.498 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.498 * [taylor]: Taking taylor expansion of x.im in x.re 0.498 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.498 * [taylor]: Taking taylor expansion of x.re in x.re 0.499 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.499 * [taylor]: Taking taylor expansion of -1 in x.im 0.499 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.499 * [taylor]: Taking taylor expansion of x.im in x.im 0.499 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.499 * [taylor]: Taking taylor expansion of x.re in x.im 0.499 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.499 * [taylor]: Taking taylor expansion of -1 in x.im 0.499 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.499 * [taylor]: Taking taylor expansion of x.im in x.im 0.499 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.499 * [taylor]: Taking taylor expansion of x.re in x.im 0.500 * [taylor]: Taking taylor expansion of (/ -1 (pow x.re 2)) in x.re 0.500 * [taylor]: Taking taylor expansion of -1 in x.re 0.500 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.500 * [taylor]: Taking taylor expansion of x.re in x.re 0.501 * [taylor]: Taking taylor expansion of 0 in x.re 0.504 * [taylor]: Taking taylor expansion of 0 in x.re 0.507 * [taylor]: Taking taylor expansion of 0 in x.re 0.511 * [taylor]: Taking taylor expansion of 0 in x.re 0.511 * * * [progress]: simplifying candidates 0.511 * [simplify]: Simplifying using # : (* 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)) (* (* 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)) 0.515 * * [simplify]: iteration 0 : 165 enodes (cost 181 ) 0.519 * * [simplify]: iteration 1 : 857 enodes (cost 145 ) 0.541 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.543 * [simplify]: Simplified to: (* 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))) (* (* 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) 0.543 * * * [progress]: adding candidates to table 0.597 * * [progress]: iteration 3 / 4 0.597 * * * [progress]: picking best candidate 0.607 * * * * [pick]: Picked # 0.607 * * * [progress]: localizing error 0.618 * * * [progress]: generating rewritten candidates 0.618 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.623 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.630 * * * [progress]: generating series expansions 0.630 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.630 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.630 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.630 * [taylor]: Taking taylor expansion of 3 in x.re 0.630 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.630 * [taylor]: Taking taylor expansion of x.im in x.re 0.630 * [taylor]: Taking taylor expansion of x.re in x.re 0.630 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.630 * [taylor]: Taking taylor expansion of 3 in x.im 0.630 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.630 * [taylor]: Taking taylor expansion of x.im in x.im 0.630 * [taylor]: Taking taylor expansion of x.re in x.im 0.630 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.630 * [taylor]: Taking taylor expansion of 3 in x.im 0.630 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.630 * [taylor]: Taking taylor expansion of x.im in x.im 0.630 * [taylor]: Taking taylor expansion of x.re in x.im 0.631 * [taylor]: Taking taylor expansion of 0 in x.re 0.632 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.632 * [taylor]: Taking taylor expansion of 3 in x.re 0.632 * [taylor]: Taking taylor expansion of x.re in x.re 0.633 * [taylor]: Taking taylor expansion of 0 in x.re 0.635 * [taylor]: Taking taylor expansion of 0 in x.re 0.637 * [taylor]: Taking taylor expansion of 0 in x.re 0.637 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.637 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.637 * [taylor]: Taking taylor expansion of 3 in x.re 0.637 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.637 * [taylor]: Taking taylor expansion of x.im in x.re 0.637 * [taylor]: Taking taylor expansion of x.re in x.re 0.638 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.638 * [taylor]: Taking taylor expansion of 3 in x.im 0.638 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.638 * [taylor]: Taking taylor expansion of x.im in x.im 0.638 * [taylor]: Taking taylor expansion of x.re in x.im 0.638 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.638 * [taylor]: Taking taylor expansion of 3 in x.im 0.638 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.638 * [taylor]: Taking taylor expansion of x.im in x.im 0.638 * [taylor]: Taking taylor expansion of x.re in x.im 0.639 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.639 * [taylor]: Taking taylor expansion of 3 in x.re 0.639 * [taylor]: Taking taylor expansion of x.re in x.re 0.640 * [taylor]: Taking taylor expansion of 0 in x.re 0.641 * [taylor]: Taking taylor expansion of 0 in x.re 0.642 * [taylor]: Taking taylor expansion of 0 in x.re 0.643 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.643 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.643 * [taylor]: Taking taylor expansion of 3 in x.re 0.643 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.643 * [taylor]: Taking taylor expansion of x.im in x.re 0.643 * [taylor]: Taking taylor expansion of x.re in x.re 0.644 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.644 * [taylor]: Taking taylor expansion of 3 in x.im 0.644 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.644 * [taylor]: Taking taylor expansion of x.im in x.im 0.644 * [taylor]: Taking taylor expansion of x.re in x.im 0.644 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.644 * [taylor]: Taking taylor expansion of 3 in x.im 0.644 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.644 * [taylor]: Taking taylor expansion of x.im in x.im 0.644 * [taylor]: Taking taylor expansion of x.re in x.im 0.644 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.644 * [taylor]: Taking taylor expansion of 3 in x.re 0.644 * [taylor]: Taking taylor expansion of x.re in x.re 0.645 * [taylor]: Taking taylor expansion of 0 in x.re 0.647 * [taylor]: Taking taylor expansion of 0 in x.re 0.648 * [taylor]: Taking taylor expansion of 0 in x.re 0.649 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.649 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.649 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.649 * [taylor]: Taking taylor expansion of 3 in x.re 0.649 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.649 * [taylor]: Taking taylor expansion of x.im in x.re 0.649 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.649 * [taylor]: Taking taylor expansion of x.re in x.re 0.649 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.649 * [taylor]: Taking taylor expansion of 3 in x.im 0.649 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.649 * [taylor]: Taking taylor expansion of x.im in x.im 0.649 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.649 * [taylor]: Taking taylor expansion of x.re in x.im 0.649 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.649 * [taylor]: Taking taylor expansion of 3 in x.im 0.649 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.649 * [taylor]: Taking taylor expansion of x.im in x.im 0.649 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.649 * [taylor]: Taking taylor expansion of x.re in x.im 0.650 * [taylor]: Taking taylor expansion of 0 in x.re 0.651 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.651 * [taylor]: Taking taylor expansion of 3 in x.re 0.651 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.651 * [taylor]: Taking taylor expansion of x.re in x.re 0.653 * [taylor]: Taking taylor expansion of 0 in x.re 0.655 * [taylor]: Taking taylor expansion of 0 in x.re 0.656 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.656 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.656 * [taylor]: Taking taylor expansion of 3 in x.re 0.656 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.656 * [taylor]: Taking taylor expansion of x.im in x.re 0.656 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.656 * [taylor]: Taking taylor expansion of x.re in x.re 0.656 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.656 * [taylor]: Taking taylor expansion of 3 in x.im 0.656 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.656 * [taylor]: Taking taylor expansion of x.im in x.im 0.656 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.656 * [taylor]: Taking taylor expansion of x.re in x.im 0.657 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.657 * [taylor]: Taking taylor expansion of 3 in x.im 0.657 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.657 * [taylor]: Taking taylor expansion of x.im in x.im 0.657 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.657 * [taylor]: Taking taylor expansion of x.re in x.im 0.657 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.657 * [taylor]: Taking taylor expansion of 3 in x.re 0.657 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.657 * [taylor]: Taking taylor expansion of x.re in x.re 0.659 * [taylor]: Taking taylor expansion of 0 in x.re 0.661 * [taylor]: Taking taylor expansion of 0 in x.re 0.664 * [taylor]: Taking taylor expansion of 0 in x.re 0.668 * [taylor]: Taking taylor expansion of 0 in x.re 0.668 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.668 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.668 * [taylor]: Taking taylor expansion of -3 in x.re 0.668 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.669 * [taylor]: Taking taylor expansion of x.im in x.re 0.669 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.669 * [taylor]: Taking taylor expansion of x.re in x.re 0.669 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.669 * [taylor]: Taking taylor expansion of -3 in x.im 0.669 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.669 * [taylor]: Taking taylor expansion of x.im in x.im 0.669 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.669 * [taylor]: Taking taylor expansion of x.re in x.im 0.669 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.669 * [taylor]: Taking taylor expansion of -3 in x.im 0.669 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.670 * [taylor]: Taking taylor expansion of x.im in x.im 0.670 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.670 * [taylor]: Taking taylor expansion of x.re in x.im 0.670 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.670 * [taylor]: Taking taylor expansion of -3 in x.re 0.670 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.670 * [taylor]: Taking taylor expansion of x.re in x.re 0.672 * [taylor]: Taking taylor expansion of 0 in x.re 0.674 * [taylor]: Taking taylor expansion of 0 in x.re 0.677 * [taylor]: Taking taylor expansion of 0 in x.re 0.681 * [taylor]: Taking taylor expansion of 0 in x.re 0.681 * * * [progress]: simplifying candidates 0.681 * [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.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))) 0.685 * * [simplify]: iteration 0 : 165 enodes (cost 177 ) 0.689 * * [simplify]: iteration 1 : 851 enodes (cost 145 ) 0.714 * * [simplify]: iteration 2 : 5002 enodes (cost 145 ) 0.715 * [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 (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))) 0.715 * * * [progress]: adding candidates to table 0.766 * * [progress]: iteration 4 / 4 0.766 * * * [progress]: picking best candidate 0.774 * * * * [pick]: Picked # 0.774 * * * [progress]: localizing error 0.784 * * * [progress]: generating rewritten candidates 0.784 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.795 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.806 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 2) 0.813 * * * [progress]: generating series expansions 0.813 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.814 * [approximate]: Taking taylor expansion of (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.814 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.re 0.814 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 0.814 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 0.814 * [taylor]: Taking taylor expansion of 3 in x.re 0.815 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.815 * [taylor]: Taking taylor expansion of x.im in x.re 0.815 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.815 * [taylor]: Taking taylor expansion of x.re in x.re 0.815 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.im 0.815 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 0.815 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 0.815 * [taylor]: Taking taylor expansion of 3 in x.im 0.816 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.816 * [taylor]: Taking taylor expansion of x.im in x.im 0.816 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.816 * [taylor]: Taking taylor expansion of x.re in x.im 0.816 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.im 0.816 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 0.816 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 0.816 * [taylor]: Taking taylor expansion of 3 in x.im 0.817 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.817 * [taylor]: Taking taylor expansion of x.im in x.im 0.817 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.817 * [taylor]: Taking taylor expansion of x.re in x.im 0.818 * [taylor]: Taking taylor expansion of 0 in x.re 0.820 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow x.re 2)) in x.re 0.820 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 0.820 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 0.820 * [taylor]: Taking taylor expansion of 3 in x.re 0.821 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.821 * [taylor]: Taking taylor expansion of x.re in x.re 0.826 * [taylor]: Taking taylor expansion of 0 in x.re 0.831 * [taylor]: Taking taylor expansion of 0 in x.re 0.832 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.832 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.re 0.832 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 0.832 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 0.832 * [taylor]: Taking taylor expansion of 3 in x.re 0.833 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.833 * [taylor]: Taking taylor expansion of x.im in x.re 0.833 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.833 * [taylor]: Taking taylor expansion of x.re in x.re 0.834 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.im 0.834 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 0.834 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 0.835 * [taylor]: Taking taylor expansion of 3 in x.im 0.835 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.835 * [taylor]: Taking taylor expansion of x.im in x.im 0.835 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.835 * [taylor]: Taking taylor expansion of x.re in x.im 0.837 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.im 0.837 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 0.837 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 0.837 * [taylor]: Taking taylor expansion of 3 in x.im 0.838 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.838 * [taylor]: Taking taylor expansion of x.im in x.im 0.838 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.838 * [taylor]: Taking taylor expansion of x.re in x.im 0.840 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow x.re 2)) in x.re 0.840 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 0.840 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 0.840 * [taylor]: Taking taylor expansion of 3 in x.re 0.840 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.840 * [taylor]: Taking taylor expansion of x.re in x.re 0.845 * [taylor]: Taking taylor expansion of 0 in x.re 0.850 * [taylor]: Taking taylor expansion of 0 in x.re 0.856 * [taylor]: Taking taylor expansion of 0 in x.re 0.863 * [taylor]: Taking taylor expansion of 0 in x.re 0.865 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2)))) in (x.im x.re) around 0 0.865 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2)))) in x.re 0.865 * [taylor]: Taking taylor expansion of -1 in x.re 0.865 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.re 0.865 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 0.865 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 0.865 * [taylor]: Taking taylor expansion of 3 in x.re 0.865 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.865 * [taylor]: Taking taylor expansion of x.im in x.re 0.865 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.865 * [taylor]: Taking taylor expansion of x.re in x.re 0.867 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2)))) in x.im 0.867 * [taylor]: Taking taylor expansion of -1 in x.im 0.867 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.im 0.867 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 0.867 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 0.867 * [taylor]: Taking taylor expansion of 3 in x.im 0.868 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.868 * [taylor]: Taking taylor expansion of x.im in x.im 0.868 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.868 * [taylor]: Taking taylor expansion of x.re in x.im 0.870 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2)))) in x.im 0.870 * [taylor]: Taking taylor expansion of -1 in x.im 0.870 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.im 0.870 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 0.870 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 0.870 * [taylor]: Taking taylor expansion of 3 in x.im 0.870 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.871 * [taylor]: Taking taylor expansion of x.im in x.im 0.871 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.871 * [taylor]: Taking taylor expansion of x.re in x.im 0.873 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (pow x.re 2))) in x.re 0.873 * [taylor]: Taking taylor expansion of -1 in x.re 0.873 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow x.re 2)) in x.re 0.873 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 0.873 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 0.873 * [taylor]: Taking taylor expansion of 3 in x.re 0.874 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.874 * [taylor]: Taking taylor expansion of x.re in x.re 0.881 * [taylor]: Taking taylor expansion of 0 in x.re 0.892 * [taylor]: Taking taylor expansion of 0 in x.re 0.900 * [taylor]: Taking taylor expansion of 0 in x.re 0.909 * [taylor]: Taking taylor expansion of 0 in x.re 0.911 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.911 * [approximate]: Taking taylor expansion of (* (sqrt 3) (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.911 * [taylor]: Taking taylor expansion of (* (sqrt 3) (* x.im (pow x.re 2))) in x.re 0.911 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 0.911 * [taylor]: Taking taylor expansion of 3 in x.re 0.912 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.912 * [taylor]: Taking taylor expansion of x.im in x.re 0.912 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.912 * [taylor]: Taking taylor expansion of x.re in x.re 0.912 * [taylor]: Taking taylor expansion of (* (sqrt 3) (* x.im (pow x.re 2))) in x.im 0.912 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 0.912 * [taylor]: Taking taylor expansion of 3 in x.im 0.912 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.912 * [taylor]: Taking taylor expansion of x.im in x.im 0.912 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.913 * [taylor]: Taking taylor expansion of x.re in x.im 0.913 * [taylor]: Taking taylor expansion of (* (sqrt 3) (* x.im (pow x.re 2))) in x.im 0.913 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 0.913 * [taylor]: Taking taylor expansion of 3 in x.im 0.913 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.913 * [taylor]: Taking taylor expansion of x.im in x.im 0.913 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.913 * [taylor]: Taking taylor expansion of x.re in x.im 0.914 * [taylor]: Taking taylor expansion of 0 in x.re 0.915 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x.re 2)) in x.re 0.915 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 0.915 * [taylor]: Taking taylor expansion of 3 in x.re 0.916 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.916 * [taylor]: Taking taylor expansion of x.re in x.re 0.919 * [taylor]: Taking taylor expansion of 0 in x.re 0.922 * [taylor]: Taking taylor expansion of 0 in x.re 0.923 * [approximate]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.923 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.re 0.923 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 0.923 * [taylor]: Taking taylor expansion of 3 in x.re 0.924 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.924 * [taylor]: Taking taylor expansion of x.im in x.re 0.924 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.924 * [taylor]: Taking taylor expansion of x.re in x.re 0.924 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.im 0.924 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 0.924 * [taylor]: Taking taylor expansion of 3 in x.im 0.925 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.925 * [taylor]: Taking taylor expansion of x.im in x.im 0.925 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.925 * [taylor]: Taking taylor expansion of x.re in x.im 0.926 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.im 0.926 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 0.926 * [taylor]: Taking taylor expansion of 3 in x.im 0.926 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.927 * [taylor]: Taking taylor expansion of x.im in x.im 0.927 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.927 * [taylor]: Taking taylor expansion of x.re in x.im 0.927 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow x.re 2)) in x.re 0.927 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 0.927 * [taylor]: Taking taylor expansion of 3 in x.re 0.928 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.928 * [taylor]: Taking taylor expansion of x.re in x.re 0.930 * [taylor]: Taking taylor expansion of 0 in x.re 0.934 * [taylor]: Taking taylor expansion of 0 in x.re 0.938 * [taylor]: Taking taylor expansion of 0 in x.re 0.943 * [taylor]: Taking taylor expansion of 0 in x.re 0.944 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 3) (* x.im (pow x.re 2)))) in (x.im x.re) around 0 0.944 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) (* x.im (pow x.re 2)))) in x.re 0.944 * [taylor]: Taking taylor expansion of -1 in x.re 0.944 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.re 0.944 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 0.944 * [taylor]: Taking taylor expansion of 3 in x.re 0.945 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.945 * [taylor]: Taking taylor expansion of x.im in x.re 0.945 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.945 * [taylor]: Taking taylor expansion of x.re in x.re 0.946 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) (* x.im (pow x.re 2)))) in x.im 0.946 * [taylor]: Taking taylor expansion of -1 in x.im 0.946 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.im 0.946 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 0.946 * [taylor]: Taking taylor expansion of 3 in x.im 0.946 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.946 * [taylor]: Taking taylor expansion of x.im in x.im 0.946 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.946 * [taylor]: Taking taylor expansion of x.re in x.im 0.947 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) (* x.im (pow x.re 2)))) in x.im 0.947 * [taylor]: Taking taylor expansion of -1 in x.im 0.947 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.im 0.947 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 0.947 * [taylor]: Taking taylor expansion of 3 in x.im 0.948 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.948 * [taylor]: Taking taylor expansion of x.im in x.im 0.948 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.948 * [taylor]: Taking taylor expansion of x.re in x.im 0.949 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) (pow x.re 2))) in x.re 0.949 * [taylor]: Taking taylor expansion of -1 in x.re 0.949 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow x.re 2)) in x.re 0.949 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 0.949 * [taylor]: Taking taylor expansion of 3 in x.re 0.950 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.950 * [taylor]: Taking taylor expansion of x.re in x.re 0.954 * [taylor]: Taking taylor expansion of 0 in x.re 0.958 * [taylor]: Taking taylor expansion of 0 in x.re 0.964 * [taylor]: Taking taylor expansion of 0 in x.re 0.975 * [taylor]: Taking taylor expansion of 0 in x.re 0.976 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 2) 0.976 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.im x.re) around 0 0.976 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.976 * [taylor]: Taking taylor expansion of x.im in x.re 0.976 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.976 * [taylor]: Taking taylor expansion of x.re in x.re 0.976 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.976 * [taylor]: Taking taylor expansion of x.im in x.im 0.976 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.976 * [taylor]: Taking taylor expansion of x.re in x.im 0.976 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.976 * [taylor]: Taking taylor expansion of x.im in x.im 0.976 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.976 * [taylor]: Taking taylor expansion of x.re in x.im 0.976 * [taylor]: Taking taylor expansion of 0 in x.re 0.976 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.976 * [taylor]: Taking taylor expansion of x.re in x.re 0.977 * [taylor]: Taking taylor expansion of 0 in x.re 0.979 * [taylor]: Taking taylor expansion of 0 in x.re 0.979 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.979 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.979 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.979 * [taylor]: Taking taylor expansion of x.im in x.re 0.979 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.979 * [taylor]: Taking taylor expansion of x.re in x.re 0.980 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.980 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.980 * [taylor]: Taking taylor expansion of x.im in x.im 0.980 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.980 * [taylor]: Taking taylor expansion of x.re in x.im 0.980 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.980 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.980 * [taylor]: Taking taylor expansion of x.im in x.im 0.980 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.980 * [taylor]: Taking taylor expansion of x.re in x.im 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.981 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.981 * [taylor]: Taking taylor expansion of x.re in x.re 0.982 * [taylor]: Taking taylor expansion of 0 in x.re 0.985 * [taylor]: Taking taylor expansion of 0 in x.re 0.988 * [taylor]: Taking taylor expansion of 0 in x.re 0.991 * [taylor]: Taking taylor expansion of 0 in x.re 0.991 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.991 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 0.991 * [taylor]: Taking taylor expansion of -1 in x.re 0.991 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.991 * [taylor]: Taking taylor expansion of x.im in x.re 0.991 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.991 * [taylor]: Taking taylor expansion of x.re in x.re 0.992 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.992 * [taylor]: Taking taylor expansion of -1 in x.im 0.992 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.992 * [taylor]: Taking taylor expansion of x.im in x.im 0.992 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.992 * [taylor]: Taking taylor expansion of x.re in x.im 0.992 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.992 * [taylor]: Taking taylor expansion of -1 in x.im 0.992 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.992 * [taylor]: Taking taylor expansion of x.im in x.im 0.992 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.992 * [taylor]: Taking taylor expansion of x.re in x.im 0.993 * [taylor]: Taking taylor expansion of (/ -1 (pow x.re 2)) in x.re 0.993 * [taylor]: Taking taylor expansion of -1 in x.re 0.993 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.993 * [taylor]: Taking taylor expansion of x.re in x.re 0.995 * [taylor]: Taking taylor expansion of 0 in x.re 0.997 * [taylor]: Taking taylor expansion of 0 in x.re 1.000 * [taylor]: Taking taylor expansion of 0 in x.re 1.004 * [taylor]: Taking taylor expansion of 0 in x.re 1.004 * * * [progress]: simplifying candidates 1.005 * [simplify]: Simplifying using # : (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (+ (+ (log x.im) (log x.re)) (log x.re)))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (+ (log (* x.im x.re)) (log x.re)))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (log (* (* x.im x.re) x.re)))) (+ (log (sqrt 3)) (log (* (sqrt 3) (* (* x.im x.re) x.re)))) (log (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (exp (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re)) (* (* x.re x.re) x.re)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re)) (* (* x.re x.re) x.re)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.im x.re) x.re) (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (* x.im x.re) x.re)))) (* (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))))) (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (* (* (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (* (sqrt 3) (sqrt 3)) (* (cbrt (sqrt 3)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt (cbrt 3)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re)) (+ (log (sqrt 3)) (+ (+ (log x.im) (log x.re)) (log x.re))) (+ (log (sqrt 3)) (+ (log (* x.im x.re)) (log x.re))) (+ (log (sqrt 3)) (log (* (* x.im x.re) x.re))) (log (* (sqrt 3) (* (* x.im x.re) x.re))) (exp (* (sqrt 3) (* (* x.im x.re) x.re))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re)) (* (* x.re x.re) x.re))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re)) (* (* x.re x.re) x.re))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.im x.re) x.re) (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re))) (* (cbrt (* (sqrt 3) (* (* x.im x.re) x.re))) (cbrt (* (sqrt 3) (* (* x.im x.re) x.re)))) (cbrt (* (sqrt 3) (* (* x.im x.re) x.re))) (* (* (* (sqrt 3) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (* x.im x.re) x.re))) (sqrt (* (sqrt 3) (* (* x.im x.re) x.re))) (sqrt (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* x.im x.re)) (* (cbrt (sqrt 3)) (* (* x.im x.re) x.re)) (* (sqrt (cbrt 3)) (* (* x.im x.re) x.re)) (* (sqrt (sqrt 3)) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re)) (* (sqrt (sqrt 3)) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* 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) (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) (* (sqrt 3) (* x.im (pow x.re 2))) (* (sqrt 3) (* x.im (pow x.re 2))) (* (sqrt 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)) 1.009 * * [simplify]: iteration 0 : 244 enodes (cost 422 ) 1.016 * * [simplify]: iteration 1 : 1343 enodes (cost 323 ) 1.047 * * [simplify]: iteration 2 : 5001 enodes (cost 323 ) 1.050 * [simplify]: Simplified to: (* (* 3 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)) (+ (log 3) (log (* (* x.im x.re) x.re))) (+ (log 3) (log (* (* x.im x.re) x.re))) (+ (log 3) (log (* (* x.im x.re) x.re))) (+ (log 3) (log (* (* x.im x.re) x.re))) (+ (log 3) (log (* (* x.im x.re) x.re))) (pow (exp 3) (* (* x.im x.re) x.re)) (* (pow (* (* x.im x.re) x.re) 3) 27) (* (pow (* (* x.im x.re) x.re) 3) 27) (* (pow (* (* x.im x.re) x.re) 3) 27) (* (pow (* (* x.im x.re) x.re) 3) 27) (* (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))))) (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (* (pow (* (* x.im x.re) x.re) 3) 27) (sqrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) 3 (* (cbrt (sqrt 3)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt (cbrt 3)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (* 3 x.im) (pow x.re 2)) (* (sqrt (sqrt 3)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (* 3 x.im) (pow x.re 2)) (* (sqrt 3) (* x.im (pow x.re 2))) (* (sqrt 3) (* x.im (pow x.re 2))) (* (sqrt 3) (* x.im (pow x.re 2))) (log (* (sqrt 3) (* (* x.im x.re) x.re))) (log (* (sqrt 3) (* (* x.im x.re) x.re))) (log (* (sqrt 3) (* (* x.im x.re) x.re))) (log (* (sqrt 3) (* (* x.im x.re) x.re))) (exp (* (sqrt 3) (* (* x.im x.re) x.re))) (pow (* (sqrt 3) (* x.im (pow x.re 2))) 3) (pow (* (sqrt 3) (* x.im (pow x.re 2))) 3) (pow (* (sqrt 3) (* x.im (pow x.re 2))) 3) (* (cbrt (* (sqrt 3) (* (* x.im x.re) x.re))) (cbrt (* (sqrt 3) (* (* x.im x.re) x.re)))) (cbrt (* (sqrt 3) (* (* x.im x.re) x.re))) (pow (* (sqrt 3) (* x.im (pow x.re 2))) 3) (sqrt (* (sqrt 3) (* (* x.im x.re) x.re))) (sqrt (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* x.im x.re)) (* (cbrt (sqrt 3)) (* (* x.im x.re) x.re)) (* (sqrt (cbrt 3)) (* (* x.im x.re) x.re)) (* (sqrt (sqrt 3)) (* (* x.im x.re) x.re)) (* (sqrt 3) (* x.im (pow x.re 2))) (* (sqrt (sqrt 3)) (* (* x.im x.re) x.re)) (* (sqrt 3) (* x.im (pow x.re 2))) (* (* 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)) (* (sqrt 3) (* x.im (pow x.re 2))) (* (sqrt 3) (* x.im (pow x.re 2))) (* (sqrt 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) 1.050 * * * [progress]: adding candidates to table 1.155 * [progress]: [Phase 3 of 3] Extracting. 1.155 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.156 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 1.156 * * * * [regimes]: Trying to branch on x.im from (# # # # # # #) 1.179 * * * * [regimes]: Trying to branch on x.re from (# # # # # # #) 1.205 * * * [regime]: Found split indices: #