9.999 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [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)) 0.035 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.037 * * [simplify]: iteration 1 : 48 enodes (cost 9 ) 0.038 * * [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 ) 0.088 * * [simplify]: iteration 6 : 4493 enodes (cost 5 ) 0.183 * * [simplify]: iteration 7 : 5002 enodes (cost 5 ) 0.183 * [simplify]: Simplified to: (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) 0.187 * * [progress]: iteration 1 / 4 0.187 * * * [progress]: picking best candidate 0.190 * * * * [pick]: Picked # 0.190 * * * [progress]: localizing error 0.201 * * * [progress]: generating rewritten candidates 0.201 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.206 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.215 * * * [progress]: generating series expansions 0.215 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.215 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.im x.re) around 0 0.215 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.215 * [taylor]: Taking taylor expansion of x.im 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 0.215 * [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 (* 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 0 in x.re 0.216 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.216 * [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 0.219 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.219 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.219 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.219 * [taylor]: Taking taylor expansion of x.im in x.re 0.219 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.219 * [taylor]: Taking taylor expansion of x.re in x.re 0.219 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.219 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.219 * [taylor]: Taking taylor expansion of x.im in x.im 0.219 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.219 * [taylor]: Taking taylor expansion of x.re in x.im 0.220 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.220 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.220 * [taylor]: Taking taylor expansion of x.im in x.im 0.220 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.220 * [taylor]: Taking taylor expansion of x.re in x.im 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.221 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.221 * [taylor]: Taking taylor expansion of x.re in x.re 0.222 * [taylor]: Taking taylor expansion of 0 in x.re 0.225 * [taylor]: Taking taylor expansion of 0 in x.re 0.228 * [taylor]: Taking taylor expansion of 0 in x.re 0.231 * [taylor]: Taking taylor expansion of 0 in x.re 0.231 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.231 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (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 (* x.im (pow x.re 2)) in x.re 0.231 * [taylor]: Taking taylor expansion of x.im 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 (/ -1 (* x.im (pow x.re 2))) in x.im 0.232 * [taylor]: Taking taylor expansion of -1 in x.im 0.232 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.232 * [taylor]: Taking taylor expansion of x.im in x.im 0.232 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.232 * [taylor]: Taking taylor expansion of x.re in x.im 0.232 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.232 * [taylor]: Taking taylor expansion of -1 in x.im 0.232 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.232 * [taylor]: Taking taylor expansion of x.im in x.im 0.232 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.232 * [taylor]: Taking taylor expansion of x.re in x.im 0.233 * [taylor]: Taking taylor expansion of (/ -1 (pow x.re 2)) in x.re 0.233 * [taylor]: Taking taylor expansion of -1 in x.re 0.233 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.233 * [taylor]: Taking taylor expansion of x.re in x.re 0.235 * [taylor]: Taking taylor expansion of 0 in x.re 0.237 * [taylor]: Taking taylor expansion of 0 in x.re 0.240 * [taylor]: Taking taylor expansion of 0 in x.re 0.244 * [taylor]: Taking taylor expansion of 0 in x.re 0.244 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.244 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.244 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.244 * [taylor]: Taking taylor expansion of 3 in x.re 0.244 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.244 * [taylor]: Taking taylor expansion of x.im in x.re 0.244 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.244 * [taylor]: Taking taylor expansion of x.re in x.re 0.244 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.244 * [taylor]: Taking taylor expansion of 3 in x.im 0.244 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.244 * [taylor]: Taking taylor expansion of x.im in x.im 0.244 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.244 * [taylor]: Taking taylor expansion of x.re in x.im 0.244 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.244 * [taylor]: Taking taylor expansion of 3 in x.im 0.244 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.244 * [taylor]: Taking taylor expansion of x.im in x.im 0.244 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.244 * [taylor]: Taking taylor expansion of x.re in x.im 0.245 * [taylor]: Taking taylor expansion of 0 in x.re 0.245 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.245 * [taylor]: Taking taylor expansion of 3 in x.re 0.245 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.245 * [taylor]: Taking taylor expansion of x.re in x.re 0.247 * [taylor]: Taking taylor expansion of 0 in x.re 0.250 * [taylor]: Taking taylor expansion of 0 in x.re 0.250 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.250 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (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 (* x.im (pow x.re 2)) in x.re 0.250 * [taylor]: Taking taylor expansion of x.im 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 (/ 3 (* x.im (pow x.re 2))) in x.im 0.251 * [taylor]: Taking taylor expansion of 3 in x.im 0.251 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.251 * [taylor]: Taking taylor expansion of x.im in x.im 0.251 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.251 * [taylor]: Taking taylor expansion of x.re in x.im 0.251 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.252 * [taylor]: Taking taylor expansion of 3 in x.im 0.252 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.252 * [taylor]: Taking taylor expansion of x.im in x.im 0.252 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.252 * [taylor]: Taking taylor expansion of x.re in x.im 0.252 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.252 * [taylor]: Taking taylor expansion of 3 in x.re 0.252 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.252 * [taylor]: Taking taylor expansion of x.re in x.re 0.254 * [taylor]: Taking taylor expansion of 0 in x.re 0.256 * [taylor]: Taking taylor expansion of 0 in x.re 0.259 * [taylor]: Taking taylor expansion of 0 in x.re 0.263 * [taylor]: Taking taylor expansion of 0 in x.re 0.263 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.263 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.263 * [taylor]: Taking taylor expansion of -3 in x.re 0.263 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.263 * [taylor]: Taking taylor expansion of x.im 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 0.263 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.263 * [taylor]: Taking taylor expansion of -3 in x.im 0.263 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.263 * [taylor]: Taking taylor expansion of x.im in x.im 0.263 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.263 * [taylor]: Taking taylor expansion of x.re in x.im 0.264 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.264 * [taylor]: Taking taylor expansion of -3 in x.im 0.264 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.264 * [taylor]: Taking taylor expansion of x.im in x.im 0.264 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.264 * [taylor]: Taking taylor expansion of x.re in x.im 0.265 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.265 * [taylor]: Taking taylor expansion of -3 in x.re 0.265 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.265 * [taylor]: Taking taylor expansion of x.re in x.re 0.266 * [taylor]: Taking taylor expansion of 0 in x.re 0.268 * [taylor]: Taking taylor expansion of 0 in x.re 0.271 * [taylor]: Taking taylor expansion of 0 in x.re 0.275 * [taylor]: Taking taylor expansion of 0 in x.re 0.275 * * * [progress]: simplifying candidates 0.276 * [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))) 0.280 * * [simplify]: iteration 0 : 152 enodes (cost 183 ) 0.283 * * [simplify]: iteration 1 : 589 enodes (cost 147 ) 0.296 * * [simplify]: iteration 2 : 2908 enodes (cost 147 ) 0.356 * * [simplify]: iteration 3 : 5003 enodes (cost 147 ) 0.358 * [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))) 0.358 * * * [progress]: adding candidates to table 0.429 * * [progress]: iteration 2 / 4 0.429 * * * [progress]: picking best candidate 0.437 * * * * [pick]: Picked # 0.437 * * * [progress]: localizing error 0.445 * * * [progress]: generating rewritten candidates 0.445 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.451 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.457 * * * [progress]: generating series expansions 0.458 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 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 0.458 * [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 0 in x.re 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 0.464 * [taylor]: Taking taylor expansion of 0 in x.re 0.464 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.464 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.464 * [taylor]: Taking taylor expansion of 3 in x.re 0.464 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.464 * [taylor]: Taking taylor expansion of x.im in x.re 0.464 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.464 * [taylor]: Taking taylor expansion of x.re in x.re 0.465 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.465 * [taylor]: Taking taylor expansion of 3 in x.im 0.465 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.465 * [taylor]: Taking taylor expansion of x.im in x.im 0.465 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.465 * [taylor]: Taking taylor expansion of x.re in x.im 0.465 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.465 * [taylor]: Taking taylor expansion of 3 in x.im 0.465 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.465 * [taylor]: Taking taylor expansion of x.im in x.im 0.465 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.465 * [taylor]: Taking taylor expansion of x.re in x.im 0.466 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.466 * [taylor]: Taking taylor expansion of 3 in x.re 0.466 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.466 * [taylor]: Taking taylor expansion of x.re in x.re 0.468 * [taylor]: Taking taylor expansion of 0 in x.re 0.470 * [taylor]: Taking taylor expansion of 0 in x.re 0.473 * [taylor]: Taking taylor expansion of 0 in x.re 0.477 * [taylor]: Taking taylor expansion of 0 in x.re 0.477 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.477 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.477 * [taylor]: Taking taylor expansion of -3 in x.re 0.477 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.477 * [taylor]: Taking taylor expansion of x.im in x.re 0.477 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.477 * [taylor]: Taking taylor expansion of x.re in x.re 0.477 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.477 * [taylor]: Taking taylor expansion of -3 in x.im 0.477 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.477 * [taylor]: Taking taylor expansion of x.im in x.im 0.477 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.477 * [taylor]: Taking taylor expansion of x.re in x.im 0.478 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.478 * [taylor]: Taking taylor expansion of -3 in x.im 0.478 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.478 * [taylor]: Taking taylor expansion of x.im in x.im 0.478 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.478 * [taylor]: Taking taylor expansion of x.re in x.im 0.479 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.479 * [taylor]: Taking taylor expansion of -3 in x.re 0.479 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.479 * [taylor]: Taking taylor expansion of x.re in x.re 0.480 * [taylor]: Taking taylor expansion of 0 in x.re 0.483 * [taylor]: Taking taylor expansion of 0 in x.re 0.486 * [taylor]: Taking taylor expansion of 0 in x.re 0.489 * [taylor]: Taking taylor expansion of 0 in x.re 0.489 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.489 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.im x.re) around 0 0.489 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.489 * [taylor]: Taking taylor expansion of x.im in x.re 0.489 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.489 * [taylor]: Taking taylor expansion of x.re in x.re 0.490 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.490 * [taylor]: Taking taylor expansion of x.im in x.im 0.490 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.490 * [taylor]: Taking taylor expansion of x.re in x.im 0.490 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.490 * [taylor]: Taking taylor expansion of x.im in x.im 0.490 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.490 * [taylor]: Taking taylor expansion of x.re in x.im 0.490 * [taylor]: Taking taylor expansion of 0 in x.re 0.490 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.490 * [taylor]: Taking taylor expansion of x.re in x.re 0.491 * [taylor]: Taking taylor expansion of 0 in x.re 0.493 * [taylor]: Taking taylor expansion of 0 in x.re 0.493 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.493 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.493 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.493 * [taylor]: Taking taylor expansion of x.im in x.re 0.493 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.493 * [taylor]: Taking taylor expansion of x.re in x.re 0.494 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.494 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.494 * [taylor]: Taking taylor expansion of x.im in x.im 0.494 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.494 * [taylor]: Taking taylor expansion of x.re in x.im 0.494 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.494 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.494 * [taylor]: Taking taylor expansion of x.im in x.im 0.494 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.494 * [taylor]: Taking taylor expansion of x.re in x.im 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.495 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.495 * [taylor]: Taking taylor expansion of x.re in x.re 0.496 * [taylor]: Taking taylor expansion of 0 in x.re 0.498 * [taylor]: Taking taylor expansion of 0 in x.re 0.501 * [taylor]: Taking taylor expansion of 0 in x.re 0.505 * [taylor]: Taking taylor expansion of 0 in x.re 0.505 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.505 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 0.505 * [taylor]: Taking taylor expansion of -1 in x.re 0.505 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.505 * [taylor]: Taking taylor expansion of x.im in x.re 0.505 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.505 * [taylor]: Taking taylor expansion of x.re in x.re 0.505 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.506 * [taylor]: Taking taylor expansion of -1 in x.im 0.506 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.506 * [taylor]: Taking taylor expansion of x.im in x.im 0.506 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.506 * [taylor]: Taking taylor expansion of x.re in x.im 0.506 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.506 * [taylor]: Taking taylor expansion of -1 in x.im 0.506 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.506 * [taylor]: Taking taylor expansion of x.im in x.im 0.506 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.506 * [taylor]: Taking taylor expansion of x.re in x.im 0.507 * [taylor]: Taking taylor expansion of (/ -1 (pow x.re 2)) in x.re 0.507 * [taylor]: Taking taylor expansion of -1 in x.re 0.507 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.507 * [taylor]: Taking taylor expansion of x.re in x.re 0.509 * [taylor]: Taking taylor expansion of 0 in x.re 0.516 * [taylor]: Taking taylor expansion of 0 in x.re 0.519 * [taylor]: Taking taylor expansion of 0 in x.re 0.522 * [taylor]: Taking taylor expansion of 0 in x.re 0.523 * * * [progress]: simplifying candidates 0.523 * [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)) 0.527 * * [simplify]: iteration 0 : 165 enodes (cost 181 ) 0.531 * * [simplify]: iteration 1 : 857 enodes (cost 145 ) 0.552 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.554 * [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) 0.554 * * * [progress]: adding candidates to table 0.603 * * [progress]: iteration 3 / 4 0.603 * * * [progress]: picking best candidate 0.613 * * * * [pick]: Picked # 0.613 * * * [progress]: localizing error 0.620 * * * [progress]: generating rewritten candidates 0.620 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.624 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.632 * * * [progress]: generating series expansions 0.632 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.632 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.632 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.632 * [taylor]: Taking taylor expansion of 3 in x.re 0.632 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.632 * [taylor]: Taking taylor expansion of x.im in x.re 0.632 * [taylor]: Taking taylor expansion of x.re in x.re 0.632 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.632 * [taylor]: Taking taylor expansion of 3 in x.im 0.632 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.632 * [taylor]: Taking taylor expansion of x.im in x.im 0.632 * [taylor]: Taking taylor expansion of x.re in x.im 0.632 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.632 * [taylor]: Taking taylor expansion of 3 in x.im 0.632 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.632 * [taylor]: Taking taylor expansion of x.im in x.im 0.632 * [taylor]: Taking taylor expansion of x.re in x.im 0.633 * [taylor]: Taking taylor expansion of 0 in x.re 0.633 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.633 * [taylor]: Taking taylor expansion of 3 in x.re 0.633 * [taylor]: Taking taylor expansion of x.re 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 0.639 * [taylor]: Taking taylor expansion of 0 in x.re 0.639 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.639 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.639 * [taylor]: Taking taylor expansion of 3 in x.re 0.639 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.639 * [taylor]: Taking taylor expansion of x.im in x.re 0.639 * [taylor]: Taking taylor expansion of x.re in x.re 0.640 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.640 * [taylor]: Taking taylor expansion of 3 in x.im 0.640 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.640 * [taylor]: Taking taylor expansion of x.im in x.im 0.640 * [taylor]: Taking taylor expansion of x.re in x.im 0.640 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.640 * [taylor]: Taking taylor expansion of 3 in x.im 0.640 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.640 * [taylor]: Taking taylor expansion of x.im in x.im 0.640 * [taylor]: Taking taylor expansion of x.re in x.im 0.640 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.640 * [taylor]: Taking taylor expansion of 3 in x.re 0.640 * [taylor]: Taking taylor expansion of x.re in x.re 0.641 * [taylor]: Taking taylor expansion of 0 in x.re 0.643 * [taylor]: Taking taylor expansion of 0 in x.re 0.644 * [taylor]: Taking taylor expansion of 0 in x.re 0.645 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.645 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.645 * [taylor]: Taking taylor expansion of 3 in x.re 0.645 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.645 * [taylor]: Taking taylor expansion of x.im in x.re 0.645 * [taylor]: Taking taylor expansion of x.re in x.re 0.646 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.646 * [taylor]: Taking taylor expansion of 3 in x.im 0.646 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.646 * [taylor]: Taking taylor expansion of x.im in x.im 0.646 * [taylor]: Taking taylor expansion of x.re in x.im 0.646 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.646 * [taylor]: Taking taylor expansion of 3 in x.im 0.646 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.646 * [taylor]: Taking taylor expansion of x.im in x.im 0.646 * [taylor]: Taking taylor expansion of x.re in x.im 0.646 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.646 * [taylor]: Taking taylor expansion of 3 in x.re 0.646 * [taylor]: Taking taylor expansion of x.re in x.re 0.647 * [taylor]: Taking taylor expansion of 0 in x.re 0.649 * [taylor]: Taking taylor expansion of 0 in x.re 0.650 * [taylor]: Taking taylor expansion of 0 in x.re 0.651 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.651 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.651 * [taylor]: Taking taylor expansion of (* 3 (* x.im (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 (* x.im (pow x.re 2)) in x.re 0.651 * [taylor]: Taking taylor expansion of x.im 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 0.651 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.651 * [taylor]: Taking taylor expansion of 3 in x.im 0.651 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.651 * [taylor]: Taking taylor expansion of x.im in x.im 0.651 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.651 * [taylor]: Taking taylor expansion of x.re in x.im 0.651 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.651 * [taylor]: Taking taylor expansion of 3 in x.im 0.651 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.651 * [taylor]: Taking taylor expansion of x.im in x.im 0.651 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.651 * [taylor]: Taking taylor expansion of x.re in x.im 0.652 * [taylor]: Taking taylor expansion of 0 in x.re 0.653 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.653 * [taylor]: Taking taylor expansion of 3 in x.re 0.653 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.653 * [taylor]: Taking taylor expansion of x.re in x.re 0.654 * [taylor]: Taking taylor expansion of 0 in x.re 0.657 * [taylor]: Taking taylor expansion of 0 in x.re 0.657 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.658 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.658 * [taylor]: Taking taylor expansion of 3 in x.re 0.658 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.658 * [taylor]: Taking taylor expansion of x.im in x.re 0.658 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.658 * [taylor]: Taking taylor expansion of x.re in x.re 0.658 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.658 * [taylor]: Taking taylor expansion of 3 in x.im 0.658 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.658 * [taylor]: Taking taylor expansion of x.im in x.im 0.658 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.658 * [taylor]: Taking taylor expansion of x.re in x.im 0.659 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.659 * [taylor]: Taking taylor expansion of 3 in x.im 0.659 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.659 * [taylor]: Taking taylor expansion of x.im in x.im 0.659 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.659 * [taylor]: Taking taylor expansion of x.re in x.im 0.659 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.659 * [taylor]: Taking taylor expansion of 3 in x.re 0.659 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.659 * [taylor]: Taking taylor expansion of x.re in x.re 0.661 * [taylor]: Taking taylor expansion of 0 in x.re 0.663 * [taylor]: Taking taylor expansion of 0 in x.re 0.666 * [taylor]: Taking taylor expansion of 0 in x.re 0.670 * [taylor]: Taking taylor expansion of 0 in x.re 0.670 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.670 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (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 (* x.im (pow x.re 2)) in x.re 0.670 * [taylor]: Taking taylor expansion of x.im 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 0.671 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.671 * [taylor]: Taking taylor expansion of -3 in x.im 0.671 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.671 * [taylor]: Taking taylor expansion of x.im in x.im 0.671 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.671 * [taylor]: Taking taylor expansion of x.re in x.im 0.671 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.671 * [taylor]: Taking taylor expansion of -3 in x.im 0.671 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.671 * [taylor]: Taking taylor expansion of x.im in x.im 0.671 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.671 * [taylor]: Taking taylor expansion of x.re in x.im 0.672 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.672 * [taylor]: Taking taylor expansion of -3 in x.re 0.672 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.672 * [taylor]: Taking taylor expansion of x.re in x.re 0.674 * [taylor]: Taking taylor expansion of 0 in x.re 0.676 * [taylor]: Taking taylor expansion of 0 in x.re 0.680 * [taylor]: Taking taylor expansion of 0 in x.re 0.684 * [taylor]: Taking taylor expansion of 0 in x.re 0.685 * * * [progress]: simplifying candidates 0.686 * [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))) 0.692 * * [simplify]: iteration 0 : 165 enodes (cost 177 ) 0.700 * * [simplify]: iteration 1 : 851 enodes (cost 145 ) 0.727 * * [simplify]: iteration 2 : 5002 enodes (cost 145 ) 0.728 * [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))) 0.728 * * * [progress]: adding candidates to table 0.777 * * [progress]: iteration 4 / 4 0.778 * * * [progress]: picking best candidate 0.785 * * * * [pick]: Picked # 0.785 * * * [progress]: localizing error 0.792 * * * [progress]: generating rewritten candidates 0.792 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.800 * * * [progress]: generating series expansions 0.800 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.800 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.800 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.803 * [taylor]: Taking taylor expansion of 3 in x.re 0.803 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.803 * [taylor]: Taking taylor expansion of x.im in x.re 0.803 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.803 * [taylor]: Taking taylor expansion of x.re in x.re 0.803 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.803 * [taylor]: Taking taylor expansion of 3 in x.im 0.803 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.803 * [taylor]: Taking taylor expansion of x.im in x.im 0.803 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.803 * [taylor]: Taking taylor expansion of x.re in x.im 0.803 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.803 * [taylor]: Taking taylor expansion of 3 in x.im 0.803 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.803 * [taylor]: Taking taylor expansion of x.im in x.im 0.803 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.803 * [taylor]: Taking taylor expansion of x.re in x.im 0.804 * [taylor]: Taking taylor expansion of 0 in x.re 0.805 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.805 * [taylor]: Taking taylor expansion of 3 in x.re 0.805 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.805 * [taylor]: Taking taylor expansion of x.re in x.re 0.807 * [taylor]: Taking taylor expansion of 0 in x.re 0.810 * [taylor]: Taking taylor expansion of 0 in x.re 0.810 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.810 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.810 * [taylor]: Taking taylor expansion of 3 in x.re 0.810 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.810 * [taylor]: Taking taylor expansion of x.im in x.re 0.810 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.810 * [taylor]: Taking taylor expansion of x.re in x.re 0.810 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.810 * [taylor]: Taking taylor expansion of 3 in x.im 0.810 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.810 * [taylor]: Taking taylor expansion of x.im in x.im 0.811 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.811 * [taylor]: Taking taylor expansion of x.re in x.im 0.811 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.811 * [taylor]: Taking taylor expansion of 3 in x.im 0.811 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.811 * [taylor]: Taking taylor expansion of x.im in x.im 0.811 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.811 * [taylor]: Taking taylor expansion of x.re in x.im 0.812 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.812 * [taylor]: Taking taylor expansion of 3 in x.re 0.812 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.812 * [taylor]: Taking taylor expansion of x.re in x.re 0.813 * [taylor]: Taking taylor expansion of 0 in x.re 0.816 * [taylor]: Taking taylor expansion of 0 in x.re 0.819 * [taylor]: Taking taylor expansion of 0 in x.re 0.822 * [taylor]: Taking taylor expansion of 0 in x.re 0.823 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.823 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.823 * [taylor]: Taking taylor expansion of -3 in x.re 0.823 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.823 * [taylor]: Taking taylor expansion of x.im in x.re 0.823 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.823 * [taylor]: Taking taylor expansion of x.re in x.re 0.823 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.823 * [taylor]: Taking taylor expansion of -3 in x.im 0.823 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.823 * [taylor]: Taking taylor expansion of x.im in x.im 0.823 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.823 * [taylor]: Taking taylor expansion of x.re in x.im 0.824 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.824 * [taylor]: Taking taylor expansion of -3 in x.im 0.824 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.824 * [taylor]: Taking taylor expansion of x.im in x.im 0.824 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.824 * [taylor]: Taking taylor expansion of x.re in x.im 0.824 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.824 * [taylor]: Taking taylor expansion of -3 in x.re 0.824 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.824 * [taylor]: Taking taylor expansion of x.re in x.re 0.826 * [taylor]: Taking taylor expansion of 0 in x.re 0.828 * [taylor]: Taking taylor expansion of 0 in x.re 0.831 * [taylor]: Taking taylor expansion of 0 in x.re 0.835 * [taylor]: Taking taylor expansion of 0 in x.re 0.835 * * * [progress]: simplifying candidates 0.836 * [simplify]: Simplifying using # : (* (* 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))) 0.839 * * [simplify]: iteration 0 : 132 enodes (cost 118 ) 0.842 * * [simplify]: iteration 1 : 548 enodes (cost 90 ) 0.855 * * [simplify]: iteration 2 : 3105 enodes (cost 90 ) 0.922 * * [simplify]: iteration 3 : 5001 enodes (cost 90 ) 0.923 * [simplify]: Simplified to: (* (* 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)) 0.923 * * * [progress]: adding candidates to table 0.942 * [progress]: [Phase 3 of 3] Extracting. 0.942 * * [regime]: Finding splitpoints for: (# # # # # #) 0.943 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 0.943 * * * * [regimes]: Trying to branch on x.im from (# # # # # #) 0.966 * * * * [regimes]: Trying to branch on x.re from (# # # # # #) 0.986 * * * [regime]: Found split indices: #