1.768 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.033 * * [simplify]: iteration 0 : 21 enodes (cost 9 ) 0.034 * * [simplify]: iteration 1 : 55 enodes (cost 9 ) 0.036 * * [simplify]: iteration 2 : 150 enodes (cost 9 ) 0.039 * * [simplify]: iteration 3 : 401 enodes (cost 6 ) 0.048 * * [simplify]: iteration 4 : 1088 enodes (cost 5 ) 0.068 * * [simplify]: iteration 5 : 2704 enodes (cost 5 ) 0.117 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.117 * [simplify]: Simplified to: (- (pow x.re 3) (* 3 (* x.im (* x.re x.im)))) 0.120 * * [progress]: iteration 1 / 4 0.120 * * * [progress]: picking best candidate 0.123 * * * * [pick]: Picked # 0.123 * * * [progress]: localizing error 0.131 * * * [progress]: generating rewritten candidates 0.131 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.173 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.191 * * * [progress]: generating series expansions 0.191 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.191 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.191 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.191 * [taylor]: Taking taylor expansion of 3 in x.re 0.191 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.191 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.191 * [taylor]: Taking taylor expansion of x.im in x.re 0.191 * [taylor]: Taking taylor expansion of x.re in x.re 0.191 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.191 * [taylor]: Taking taylor expansion of 3 in x.im 0.191 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.191 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.191 * [taylor]: Taking taylor expansion of x.im in x.im 0.191 * [taylor]: Taking taylor expansion of x.re in x.im 0.191 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.191 * [taylor]: Taking taylor expansion of 3 in x.im 0.191 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.191 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.191 * [taylor]: Taking taylor expansion of x.im in x.im 0.191 * [taylor]: Taking taylor expansion of x.re in x.im 0.192 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.192 * [taylor]: Taking taylor expansion of 3 in x.re 0.192 * [taylor]: Taking taylor expansion of x.re in x.re 0.193 * [taylor]: Taking taylor expansion of 0 in x.re 0.195 * [taylor]: Taking taylor expansion of 0 in x.re 0.197 * [taylor]: Taking taylor expansion of 0 in x.re 0.197 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.198 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.198 * [taylor]: Taking taylor expansion of 3 in x.re 0.198 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.198 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.198 * [taylor]: Taking taylor expansion of x.im in x.re 0.198 * [taylor]: Taking taylor expansion of x.re in x.re 0.198 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.198 * [taylor]: Taking taylor expansion of 3 in x.im 0.198 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.198 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.198 * [taylor]: Taking taylor expansion of x.im in x.im 0.198 * [taylor]: Taking taylor expansion of x.re in x.im 0.199 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.199 * [taylor]: Taking taylor expansion of 3 in x.im 0.199 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.199 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.199 * [taylor]: Taking taylor expansion of x.im in x.im 0.199 * [taylor]: Taking taylor expansion of x.re in x.im 0.199 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.199 * [taylor]: Taking taylor expansion of 3 in x.re 0.199 * [taylor]: Taking taylor expansion of x.re in x.re 0.200 * [taylor]: Taking taylor expansion of 0 in x.re 0.201 * [taylor]: Taking taylor expansion of 0 in x.re 0.203 * [taylor]: Taking taylor expansion of 0 in x.re 0.204 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.204 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.204 * [taylor]: Taking taylor expansion of -3 in x.re 0.204 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.204 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.204 * [taylor]: Taking taylor expansion of x.im in x.re 0.204 * [taylor]: Taking taylor expansion of x.re in x.re 0.205 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.205 * [taylor]: Taking taylor expansion of -3 in x.im 0.205 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.205 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.205 * [taylor]: Taking taylor expansion of x.im in x.im 0.205 * [taylor]: Taking taylor expansion of x.re in x.im 0.205 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.205 * [taylor]: Taking taylor expansion of -3 in x.im 0.205 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.205 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.205 * [taylor]: Taking taylor expansion of x.im in x.im 0.205 * [taylor]: Taking taylor expansion of x.re in x.im 0.206 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.206 * [taylor]: Taking taylor expansion of -3 in x.re 0.206 * [taylor]: Taking taylor expansion of x.re in x.re 0.207 * [taylor]: Taking taylor expansion of 0 in x.re 0.211 * [taylor]: Taking taylor expansion of 0 in x.re 0.213 * [taylor]: Taking taylor expansion of 0 in x.re 0.213 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.213 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.im x.re) around 0 0.214 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.214 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.214 * [taylor]: Taking taylor expansion of x.im in x.re 0.214 * [taylor]: Taking taylor expansion of x.re in x.re 0.214 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.214 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.214 * [taylor]: Taking taylor expansion of x.im in x.im 0.214 * [taylor]: Taking taylor expansion of x.re in x.im 0.214 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.214 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.214 * [taylor]: Taking taylor expansion of x.im in x.im 0.214 * [taylor]: Taking taylor expansion of x.re in x.im 0.214 * [taylor]: Taking taylor expansion of x.re in x.re 0.215 * [taylor]: Taking taylor expansion of 0 in x.re 0.216 * [taylor]: Taking taylor expansion of 0 in x.re 0.217 * [taylor]: Taking taylor expansion of 0 in x.re 0.217 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.217 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.217 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.217 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.217 * [taylor]: Taking taylor expansion of x.im in x.re 0.217 * [taylor]: Taking taylor expansion of x.re in x.re 0.218 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.218 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.218 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.218 * [taylor]: Taking taylor expansion of x.im in x.im 0.218 * [taylor]: Taking taylor expansion of x.re in x.im 0.218 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.218 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.218 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.218 * [taylor]: Taking taylor expansion of x.im in x.im 0.218 * [taylor]: Taking taylor expansion of x.re in x.im 0.219 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.219 * [taylor]: Taking taylor expansion of x.re in x.re 0.219 * [taylor]: Taking taylor expansion of 0 in x.re 0.221 * [taylor]: Taking taylor expansion of 0 in x.re 0.223 * [taylor]: Taking taylor expansion of 0 in x.re 0.223 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.223 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.223 * [taylor]: Taking taylor expansion of -1 in x.re 0.224 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.224 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.224 * [taylor]: Taking taylor expansion of x.im in x.re 0.224 * [taylor]: Taking taylor expansion of x.re in x.re 0.224 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.224 * [taylor]: Taking taylor expansion of -1 in x.im 0.224 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.224 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.224 * [taylor]: Taking taylor expansion of x.im in x.im 0.224 * [taylor]: Taking taylor expansion of x.re in x.im 0.224 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.225 * [taylor]: Taking taylor expansion of -1 in x.im 0.225 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.225 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.225 * [taylor]: Taking taylor expansion of x.im in x.im 0.225 * [taylor]: Taking taylor expansion of x.re in x.im 0.225 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.225 * [taylor]: Taking taylor expansion of -1 in x.re 0.225 * [taylor]: Taking taylor expansion of x.re in x.re 0.226 * [taylor]: Taking taylor expansion of 0 in x.re 0.228 * [taylor]: Taking taylor expansion of 0 in x.re 0.229 * [taylor]: Taking taylor expansion of 0 in x.re 0.230 * * * [progress]: simplifying candidates 0.231 * [simplify]: Simplifying using # : (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (+ (log 3) (+ (log x.im) (+ (log x.re) (log x.im)))) (+ (log 3) (+ (log x.im) (log (* x.re x.im)))) (+ (log 3) (log (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (exp (* 3 (* x.im (* x.re x.im)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)))) (* (* (* 3 3) 3) (* (* (* x.im (* x.re x.im)) (* x.im (* x.re x.im))) (* x.im (* x.re x.im)))) (* (cbrt (* 3 (* x.im (* x.re x.im)))) (cbrt (* 3 (* x.im (* x.re x.im))))) (cbrt (* 3 (* x.im (* x.re x.im)))) (* (* (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im)))) (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.im))) (* (sqrt 3) (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) (+ (log x.im) (+ (log x.re) (log x.im))) (+ (log x.im) (log (* x.re x.im))) (log (* x.im (* x.re x.im))) (exp (* x.im (* x.re x.im))) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* (* x.im x.im) x.im) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (cbrt (* x.im (* x.re x.im))) (cbrt (* x.im (* x.re x.im)))) (cbrt (* x.im (* x.re x.im))) (* (* (* x.im (* x.re x.im)) (* x.im (* x.re x.im))) (* x.im (* x.re x.im))) (sqrt (* x.im (* x.re x.im))) (sqrt (* x.im (* x.re x.im))) (* x.im x.re) (* (cbrt x.im) (* x.re x.im)) (* (sqrt x.im) (* x.re x.im)) (* x.im (* x.re x.im)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) 0.235 * * [simplify]: iteration 0 : 151 enodes (cost 179 ) 0.239 * * [simplify]: iteration 1 : 581 enodes (cost 143 ) 0.254 * * [simplify]: iteration 2 : 3219 enodes (cost 143 ) 0.323 * * [simplify]: iteration 3 : 5001 enodes (cost 142 ) 0.324 * [simplify]: Simplified to: (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (log (* 3 (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (exp (* 3 (* x.im (* x.re x.im)))) (pow (* 3 (* x.im (* x.re x.im))) 3) (pow (* 3 (* x.im (* x.re x.im))) 3) (pow (* 3 (* x.im (* x.re x.im))) 3) (* (cbrt (* 3 (* x.im (* x.re x.im)))) (cbrt (* 3 (* x.im (* x.re x.im))))) (cbrt (* 3 (* x.im (* x.re x.im)))) (pow (* 3 (* x.im (* x.re x.im))) 3) (sqrt (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.im))) (* (sqrt 3) (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) (log (* x.im (* x.re x.im))) (log (* x.im (* x.re x.im))) (log (* x.im (* x.re x.im))) (exp (* x.im (* x.re x.im))) (pow (* x.im (* x.re x.im)) 3) (pow (* x.im (* x.re x.im)) 3) (* (cbrt (* x.im (* x.re x.im))) (cbrt (* x.im (* x.re x.im)))) (cbrt (* x.im (* x.re x.im))) (pow (* x.im (* x.re x.im)) 3) (sqrt (* x.im (* x.re x.im))) (sqrt (* x.im (* x.re x.im))) (* x.re x.im) (* (cbrt x.im) (* x.re x.im)) (* (pow x.im 3/2) x.re) (* x.im (* x.re x.im)) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) 0.324 * * * [progress]: adding candidates to table 0.381 * * [progress]: iteration 2 / 4 0.381 * * * [progress]: picking best candidate 0.393 * * * * [pick]: Picked # 0.394 * * * [progress]: localizing error 0.401 * * * [progress]: generating rewritten candidates 0.401 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.430 * * * [progress]: generating series expansions 0.431 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.431 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.431 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.431 * [taylor]: Taking taylor expansion of 3 in x.re 0.431 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.431 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.431 * [taylor]: Taking taylor expansion of x.im in x.re 0.431 * [taylor]: Taking taylor expansion of x.re in x.re 0.431 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.431 * [taylor]: Taking taylor expansion of 3 in x.im 0.431 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.431 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.431 * [taylor]: Taking taylor expansion of x.im in x.im 0.431 * [taylor]: Taking taylor expansion of x.re in x.im 0.431 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.431 * [taylor]: Taking taylor expansion of 3 in x.im 0.431 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.431 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.431 * [taylor]: Taking taylor expansion of x.im in x.im 0.431 * [taylor]: Taking taylor expansion of x.re in x.im 0.432 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.432 * [taylor]: Taking taylor expansion of 3 in x.re 0.432 * [taylor]: Taking taylor expansion of x.re in x.re 0.433 * [taylor]: Taking taylor expansion of 0 in x.re 0.435 * [taylor]: Taking taylor expansion of 0 in x.re 0.437 * [taylor]: Taking taylor expansion of 0 in x.re 0.438 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.438 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.438 * [taylor]: Taking taylor expansion of 3 in x.re 0.438 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.438 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.438 * [taylor]: Taking taylor expansion of x.im in x.re 0.438 * [taylor]: Taking taylor expansion of x.re in x.re 0.438 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.438 * [taylor]: Taking taylor expansion of 3 in x.im 0.438 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.438 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.438 * [taylor]: Taking taylor expansion of x.im in x.im 0.439 * [taylor]: Taking taylor expansion of x.re in x.im 0.439 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.439 * [taylor]: Taking taylor expansion of 3 in x.im 0.439 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.439 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.439 * [taylor]: Taking taylor expansion of x.im in x.im 0.439 * [taylor]: Taking taylor expansion of x.re in x.im 0.439 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.439 * [taylor]: Taking taylor expansion of 3 in x.re 0.439 * [taylor]: Taking taylor expansion of x.re in x.re 0.440 * [taylor]: Taking taylor expansion of 0 in x.re 0.442 * [taylor]: Taking taylor expansion of 0 in x.re 0.443 * [taylor]: Taking taylor expansion of 0 in x.re 0.444 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.444 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.444 * [taylor]: Taking taylor expansion of -3 in x.re 0.444 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.444 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.445 * [taylor]: Taking taylor expansion of x.im in x.re 0.445 * [taylor]: Taking taylor expansion of x.re in x.re 0.445 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.445 * [taylor]: Taking taylor expansion of -3 in x.im 0.445 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.445 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.445 * [taylor]: Taking taylor expansion of x.im in x.im 0.445 * [taylor]: Taking taylor expansion of x.re in x.im 0.445 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.445 * [taylor]: Taking taylor expansion of -3 in x.im 0.445 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.445 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.446 * [taylor]: Taking taylor expansion of x.im in x.im 0.446 * [taylor]: Taking taylor expansion of x.re in x.im 0.446 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.446 * [taylor]: Taking taylor expansion of -3 in x.re 0.446 * [taylor]: Taking taylor expansion of x.re in x.re 0.447 * [taylor]: Taking taylor expansion of 0 in x.re 0.448 * [taylor]: Taking taylor expansion of 0 in x.re 0.450 * [taylor]: Taking taylor expansion of 0 in x.re 0.451 * * * [progress]: simplifying candidates 0.451 * [simplify]: Simplifying using # : (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (+ (+ (log 3) (log x.im)) (+ (log x.re) (log x.im))) (+ (+ (log 3) (log x.im)) (log (* x.re x.im))) (+ (log (* 3 x.im)) (+ (log x.re) (log x.im))) (+ (log (* 3 x.im)) (log (* x.re x.im))) (log (* (* 3 x.im) (* x.re x.im))) (exp (* (* 3 x.im) (* x.re x.im))) (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (cbrt (* (* 3 x.im) (* x.re x.im))) (cbrt (* (* 3 x.im) (* x.re x.im)))) (cbrt (* (* 3 x.im) (* x.re x.im))) (* (* (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im))) (* (* 3 x.im) (* x.re x.im))) (sqrt (* (* 3 x.im) (* x.re x.im))) (sqrt (* (* 3 x.im) (* x.re x.im))) (* (* 3 x.im) x.re) (* x.im (* x.re x.im)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) 0.455 * * [simplify]: iteration 0 : 135 enodes (cost 118 ) 0.458 * * [simplify]: iteration 1 : 621 enodes (cost 90 ) 0.475 * * [simplify]: iteration 2 : 3862 enodes (cost 90 ) 0.562 * * [simplify]: iteration 3 : 5001 enodes (cost 90 ) 0.563 * [simplify]: Simplified to: (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (log (* (* 3 x.im) (* x.re x.im))) (log (* (* 3 x.im) (* x.re x.im))) (log (* (* 3 x.im) (* x.re x.im))) (log (* (* 3 x.im) (* x.re x.im))) (log (* (* 3 x.im) (* x.re x.im))) (exp (* (* 3 x.im) (* x.re x.im))) (pow (* (* 3 x.im) (* x.re x.im)) 3) (pow (* (* 3 x.im) (* x.re x.im)) 3) (pow (* (* 3 x.im) (* x.re x.im)) 3) (pow (* (* 3 x.im) (* x.re x.im)) 3) (* (cbrt (* (* 3 x.im) (* x.re x.im))) (cbrt (* (* 3 x.im) (* x.re x.im)))) (cbrt (* (* 3 x.im) (* x.re x.im))) (pow (* (* 3 x.im) (* x.re x.im)) 3) (sqrt (* (* 3 x.im) (* x.re x.im))) (sqrt (* (* 3 x.im) (* x.re x.im))) (* (* 3 x.im) x.re) (* x.im (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) 0.563 * * * [progress]: adding candidates to table 0.588 * * [progress]: iteration 3 / 4 0.588 * * * [progress]: picking best candidate 0.599 * * * * [pick]: Picked # 0.599 * * * [progress]: localizing error 0.606 * * * [progress]: generating rewritten candidates 0.606 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.624 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.679 * * * [progress]: generating series expansions 0.679 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.679 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.679 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.679 * [taylor]: Taking taylor expansion of 3 in x.re 0.679 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.679 * [taylor]: Taking taylor expansion of x.im in x.re 0.679 * [taylor]: Taking taylor expansion of x.re in x.re 0.679 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.679 * [taylor]: Taking taylor expansion of 3 in x.im 0.679 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.679 * [taylor]: Taking taylor expansion of x.im in x.im 0.679 * [taylor]: Taking taylor expansion of x.re in x.im 0.679 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.679 * [taylor]: Taking taylor expansion of 3 in x.im 0.679 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.679 * [taylor]: Taking taylor expansion of x.im in x.im 0.680 * [taylor]: Taking taylor expansion of x.re in x.im 0.680 * [taylor]: Taking taylor expansion of 0 in x.re 0.681 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.681 * [taylor]: Taking taylor expansion of 3 in x.re 0.681 * [taylor]: Taking taylor expansion of x.re in x.re 0.682 * [taylor]: Taking taylor expansion of 0 in x.re 0.683 * [taylor]: Taking taylor expansion of 0 in x.re 0.686 * [taylor]: Taking taylor expansion of 0 in x.re 0.686 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.686 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.686 * [taylor]: Taking taylor expansion of 3 in x.re 0.686 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.686 * [taylor]: Taking taylor expansion of x.im in x.re 0.686 * [taylor]: Taking taylor expansion of x.re in x.re 0.686 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.686 * [taylor]: Taking taylor expansion of 3 in x.im 0.686 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.686 * [taylor]: Taking taylor expansion of x.im in x.im 0.686 * [taylor]: Taking taylor expansion of x.re in x.im 0.686 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.687 * [taylor]: Taking taylor expansion of 3 in x.im 0.687 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.687 * [taylor]: Taking taylor expansion of x.im in x.im 0.687 * [taylor]: Taking taylor expansion of x.re in x.im 0.687 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.687 * [taylor]: Taking taylor expansion of 3 in x.re 0.687 * [taylor]: Taking taylor expansion of x.re in x.re 0.688 * [taylor]: Taking taylor expansion of 0 in x.re 0.689 * [taylor]: Taking taylor expansion of 0 in x.re 0.690 * [taylor]: Taking taylor expansion of 0 in x.re 0.691 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.691 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.691 * [taylor]: Taking taylor expansion of 3 in x.re 0.691 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.691 * [taylor]: Taking taylor expansion of x.im in x.re 0.691 * [taylor]: Taking taylor expansion of x.re in x.re 0.692 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.692 * [taylor]: Taking taylor expansion of 3 in x.im 0.692 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.692 * [taylor]: Taking taylor expansion of x.im in x.im 0.692 * [taylor]: Taking taylor expansion of x.re in x.im 0.692 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.692 * [taylor]: Taking taylor expansion of 3 in x.im 0.692 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.692 * [taylor]: Taking taylor expansion of x.im in x.im 0.692 * [taylor]: Taking taylor expansion of x.re in x.im 0.692 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.692 * [taylor]: Taking taylor expansion of 3 in x.re 0.692 * [taylor]: Taking taylor expansion of x.re in x.re 0.693 * [taylor]: Taking taylor expansion of 0 in x.re 0.694 * [taylor]: Taking taylor expansion of 0 in x.re 0.696 * [taylor]: Taking taylor expansion of 0 in x.re 0.697 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.697 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.697 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.697 * [taylor]: Taking taylor expansion of 3 in x.re 0.697 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.697 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.697 * [taylor]: Taking taylor expansion of x.im in x.re 0.697 * [taylor]: Taking taylor expansion of x.re in x.re 0.697 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.697 * [taylor]: Taking taylor expansion of 3 in x.im 0.697 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.697 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.697 * [taylor]: Taking taylor expansion of x.im in x.im 0.697 * [taylor]: Taking taylor expansion of x.re in x.im 0.697 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.697 * [taylor]: Taking taylor expansion of 3 in x.im 0.697 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.697 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.697 * [taylor]: Taking taylor expansion of x.im in x.im 0.697 * [taylor]: Taking taylor expansion of x.re in x.im 0.697 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.697 * [taylor]: Taking taylor expansion of 3 in x.re 0.697 * [taylor]: Taking taylor expansion of x.re in x.re 0.698 * [taylor]: Taking taylor expansion of 0 in x.re 0.700 * [taylor]: Taking taylor expansion of 0 in x.re 0.702 * [taylor]: Taking taylor expansion of 0 in x.re 0.703 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.703 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.703 * [taylor]: Taking taylor expansion of 3 in x.re 0.703 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.703 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.703 * [taylor]: Taking taylor expansion of x.im in x.re 0.703 * [taylor]: Taking taylor expansion of x.re in x.re 0.703 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.703 * [taylor]: Taking taylor expansion of 3 in x.im 0.703 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.703 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.703 * [taylor]: Taking taylor expansion of x.im in x.im 0.703 * [taylor]: Taking taylor expansion of x.re in x.im 0.704 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.704 * [taylor]: Taking taylor expansion of 3 in x.im 0.704 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.704 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.704 * [taylor]: Taking taylor expansion of x.im in x.im 0.704 * [taylor]: Taking taylor expansion of x.re in x.im 0.704 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.704 * [taylor]: Taking taylor expansion of 3 in x.re 0.704 * [taylor]: Taking taylor expansion of x.re in x.re 0.705 * [taylor]: Taking taylor expansion of 0 in x.re 0.706 * [taylor]: Taking taylor expansion of 0 in x.re 0.708 * [taylor]: Taking taylor expansion of 0 in x.re 0.709 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.709 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.709 * [taylor]: Taking taylor expansion of -3 in x.re 0.709 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.709 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.709 * [taylor]: Taking taylor expansion of x.im in x.re 0.709 * [taylor]: Taking taylor expansion of x.re in x.re 0.710 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.710 * [taylor]: Taking taylor expansion of -3 in x.im 0.710 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.710 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.710 * [taylor]: Taking taylor expansion of x.im in x.im 0.710 * [taylor]: Taking taylor expansion of x.re in x.im 0.710 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.710 * [taylor]: Taking taylor expansion of -3 in x.im 0.710 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.710 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.710 * [taylor]: Taking taylor expansion of x.im in x.im 0.710 * [taylor]: Taking taylor expansion of x.re in x.im 0.711 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.711 * [taylor]: Taking taylor expansion of -3 in x.re 0.711 * [taylor]: Taking taylor expansion of x.re in x.re 0.712 * [taylor]: Taking taylor expansion of 0 in x.re 0.713 * [taylor]: Taking taylor expansion of 0 in x.re 0.715 * [taylor]: Taking taylor expansion of 0 in x.re 0.716 * * * [progress]: simplifying candidates 0.717 * [simplify]: Simplifying using # : (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (+ (+ (log 3) (log x.im)) (log x.re)) (+ (log (* 3 x.im)) (log x.re)) (log (* (* 3 x.im) x.re)) (exp (* (* 3 x.im) x.re)) (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re)) (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* x.re x.re) x.re)) (* (cbrt (* (* 3 x.im) x.re)) (cbrt (* (* 3 x.im) x.re))) (cbrt (* (* 3 x.im) x.re)) (* (* (* (* 3 x.im) x.re) (* (* 3 x.im) x.re)) (* (* 3 x.im) x.re)) (sqrt (* (* 3 x.im) x.re)) (sqrt (* (* 3 x.im) x.re)) (* (* 3 x.im) (* (cbrt x.re) (cbrt x.re))) (* (* 3 x.im) (sqrt x.re)) (* (* 3 x.im) 1) (* x.im x.re) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (+ (+ (+ (log 3) (log x.im)) (log x.re)) (log x.im)) (+ (+ (log (* 3 x.im)) (log x.re)) (log x.im)) (+ (log (* (* 3 x.im) x.re)) (log x.im)) (log (* (* (* 3 x.im) x.re) x.im)) (exp (* (* (* 3 x.im) x.re) x.im)) (* (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re)) (* (* x.im x.im) x.im)) (* (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* x.re x.re) x.re)) (* (* x.im x.im) x.im)) (* (* (* (* (* 3 x.im) x.re) (* (* 3 x.im) x.re)) (* (* 3 x.im) x.re)) (* (* x.im x.im) x.im)) (* (cbrt (* (* (* 3 x.im) x.re) x.im)) (cbrt (* (* (* 3 x.im) x.re) x.im))) (cbrt (* (* (* 3 x.im) x.re) x.im)) (* (* (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im)) (* (* (* 3 x.im) x.re) x.im)) (sqrt (* (* (* 3 x.im) x.re) x.im)) (sqrt (* (* (* 3 x.im) x.re) x.im)) (* (* (* 3 x.im) x.re) (* (cbrt x.im) (cbrt x.im))) (* (* (* 3 x.im) x.re) (sqrt x.im)) (* (* (* 3 x.im) x.re) 1) (* x.re x.im) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) 0.720 * * [simplify]: iteration 0 : 172 enodes (cost 179 ) 0.724 * * [simplify]: iteration 1 : 998 enodes (cost 145 ) 0.751 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.752 * [simplify]: Simplified to: (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (log (* (* 3 x.im) x.re)) (log (* (* 3 x.im) x.re)) (log (* (* 3 x.im) x.re)) (exp (* (* 3 x.im) x.re)) (pow (* (* 3 x.im) x.re) 3) (pow (* (* 3 x.im) x.re) 3) (* (cbrt (* (* 3 x.im) x.re)) (cbrt (* (* 3 x.im) x.re))) (cbrt (* (* 3 x.im) x.re)) (pow (* (* 3 x.im) x.re) 3) (sqrt (* (* 3 x.im) x.re)) (sqrt (* (* 3 x.im) x.re)) (* (* 3 x.im) (* (cbrt x.re) (cbrt x.re))) (* (* 3 x.im) (sqrt x.re)) (* 3 x.im) (* x.im x.re) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (log (* (* (* 3 x.im) x.re) x.im)) (log (* (* (* 3 x.im) x.re) x.im)) (log (* (* (* 3 x.im) x.re) x.im)) (log (* (* (* 3 x.im) x.re) x.im)) (exp (* (* (* 3 x.im) x.re) x.im)) (pow (* (* (* 3 x.im) x.re) x.im) 3) (pow (* (* (* 3 x.im) x.re) x.im) 3) (pow (* (* (* 3 x.im) x.re) x.im) 3) (* (cbrt (* (* (* 3 x.im) x.re) x.im)) (cbrt (* (* (* 3 x.im) x.re) x.im))) (cbrt (* (* (* 3 x.im) x.re) x.im)) (pow (* (* (* 3 x.im) x.re) x.im) 3) (sqrt (* (* (* 3 x.im) x.re) x.im)) (sqrt (* (* (* 3 x.im) x.re) x.im)) (* (* (* 3 x.im) x.re) (* (cbrt x.im) (cbrt x.im))) (* (* (* 3 x.im) x.re) (sqrt x.im)) (* (* 3 x.im) x.re) (* x.im x.re) (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) 0.753 * * * [progress]: adding candidates to table 0.814 * * [progress]: iteration 4 / 4 0.814 * * * [progress]: picking best candidate 0.821 * * * * [pick]: Picked # 0.821 * * * [progress]: localizing error 0.828 * * * [progress]: generating rewritten candidates 0.828 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.844 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.892 * * * [progress]: generating series expansions 0.892 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.893 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.893 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.893 * [taylor]: Taking taylor expansion of 3 in x.re 0.893 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.893 * [taylor]: Taking taylor expansion of x.im in x.re 0.893 * [taylor]: Taking taylor expansion of x.re in x.re 0.893 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.893 * [taylor]: Taking taylor expansion of 3 in x.im 0.893 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.893 * [taylor]: Taking taylor expansion of x.im in x.im 0.893 * [taylor]: Taking taylor expansion of x.re in x.im 0.893 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.893 * [taylor]: Taking taylor expansion of 3 in x.im 0.893 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.893 * [taylor]: Taking taylor expansion of x.im in x.im 0.893 * [taylor]: Taking taylor expansion of x.re in x.im 0.893 * [taylor]: Taking taylor expansion of 0 in x.re 0.894 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.894 * [taylor]: Taking taylor expansion of 3 in x.re 0.894 * [taylor]: Taking taylor expansion of x.re in x.re 0.895 * [taylor]: Taking taylor expansion of 0 in x.re 0.897 * [taylor]: Taking taylor expansion of 0 in x.re 0.899 * [taylor]: Taking taylor expansion of 0 in x.re 0.899 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.899 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.899 * [taylor]: Taking taylor expansion of 3 in x.re 0.899 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.899 * [taylor]: Taking taylor expansion of x.im in x.re 0.899 * [taylor]: Taking taylor expansion of x.re in x.re 0.900 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.900 * [taylor]: Taking taylor expansion of 3 in x.im 0.900 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.900 * [taylor]: Taking taylor expansion of x.im in x.im 0.900 * [taylor]: Taking taylor expansion of x.re in x.im 0.900 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.900 * [taylor]: Taking taylor expansion of 3 in x.im 0.900 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.900 * [taylor]: Taking taylor expansion of x.im in x.im 0.900 * [taylor]: Taking taylor expansion of x.re in x.im 0.900 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.900 * [taylor]: Taking taylor expansion of 3 in x.re 0.900 * [taylor]: Taking taylor expansion of x.re in x.re 0.901 * [taylor]: Taking taylor expansion of 0 in x.re 0.902 * [taylor]: Taking taylor expansion of 0 in x.re 0.904 * [taylor]: Taking taylor expansion of 0 in x.re 0.905 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.905 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.905 * [taylor]: Taking taylor expansion of 3 in x.re 0.905 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.905 * [taylor]: Taking taylor expansion of x.im in x.re 0.905 * [taylor]: Taking taylor expansion of x.re in x.re 0.905 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.905 * [taylor]: Taking taylor expansion of 3 in x.im 0.905 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.905 * [taylor]: Taking taylor expansion of x.im in x.im 0.905 * [taylor]: Taking taylor expansion of x.re in x.im 0.905 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.905 * [taylor]: Taking taylor expansion of 3 in x.im 0.906 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.906 * [taylor]: Taking taylor expansion of x.im in x.im 0.906 * [taylor]: Taking taylor expansion of x.re in x.im 0.906 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.906 * [taylor]: Taking taylor expansion of 3 in x.re 0.906 * [taylor]: Taking taylor expansion of x.re in x.re 0.907 * [taylor]: Taking taylor expansion of 0 in x.re 0.908 * [taylor]: Taking taylor expansion of 0 in x.re 0.909 * [taylor]: Taking taylor expansion of 0 in x.re 0.910 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.910 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.910 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.910 * [taylor]: Taking taylor expansion of 3 in x.re 0.910 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.910 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.910 * [taylor]: Taking taylor expansion of x.im in x.re 0.910 * [taylor]: Taking taylor expansion of x.re in x.re 0.910 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.910 * [taylor]: Taking taylor expansion of 3 in x.im 0.910 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.910 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.910 * [taylor]: Taking taylor expansion of x.im in x.im 0.910 * [taylor]: Taking taylor expansion of x.re in x.im 0.910 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.910 * [taylor]: Taking taylor expansion of 3 in x.im 0.910 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.910 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.910 * [taylor]: Taking taylor expansion of x.im in x.im 0.910 * [taylor]: Taking taylor expansion of x.re in x.im 0.911 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.911 * [taylor]: Taking taylor expansion of 3 in x.re 0.911 * [taylor]: Taking taylor expansion of x.re in x.re 0.912 * [taylor]: Taking taylor expansion of 0 in x.re 0.914 * [taylor]: Taking taylor expansion of 0 in x.re 0.916 * [taylor]: Taking taylor expansion of 0 in x.re 0.916 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.916 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.916 * [taylor]: Taking taylor expansion of 3 in x.re 0.916 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.916 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.916 * [taylor]: Taking taylor expansion of x.im in x.re 0.916 * [taylor]: Taking taylor expansion of x.re in x.re 0.917 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.917 * [taylor]: Taking taylor expansion of 3 in x.im 0.917 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.917 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.917 * [taylor]: Taking taylor expansion of x.im in x.im 0.917 * [taylor]: Taking taylor expansion of x.re in x.im 0.917 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.917 * [taylor]: Taking taylor expansion of 3 in x.im 0.917 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.917 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.917 * [taylor]: Taking taylor expansion of x.im in x.im 0.917 * [taylor]: Taking taylor expansion of x.re in x.im 0.918 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.918 * [taylor]: Taking taylor expansion of 3 in x.re 0.918 * [taylor]: Taking taylor expansion of x.re in x.re 0.919 * [taylor]: Taking taylor expansion of 0 in x.re 0.920 * [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 (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.923 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.923 * [taylor]: Taking taylor expansion of -3 in x.re 0.923 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.923 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.923 * [taylor]: Taking taylor expansion of x.im in x.re 0.923 * [taylor]: Taking taylor expansion of x.re in x.re 0.924 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.924 * [taylor]: Taking taylor expansion of -3 in x.im 0.924 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.924 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.924 * [taylor]: Taking taylor expansion of x.im in x.im 0.924 * [taylor]: Taking taylor expansion of x.re in x.im 0.924 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.924 * [taylor]: Taking taylor expansion of -3 in x.im 0.924 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.924 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.924 * [taylor]: Taking taylor expansion of x.im in x.im 0.924 * [taylor]: Taking taylor expansion of x.re in x.im 0.924 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.924 * [taylor]: Taking taylor expansion of -3 in x.re 0.924 * [taylor]: Taking taylor expansion of x.re in x.re 0.925 * [taylor]: Taking taylor expansion of 0 in x.re 0.927 * [taylor]: Taking taylor expansion of 0 in x.re 0.929 * [taylor]: Taking taylor expansion of 0 in x.re 0.929 * * * [progress]: simplifying candidates 0.930 * [simplify]: Simplifying using # : (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (+ (log 3) (+ (log x.im) (log x.re))) (+ (log 3) (log (* x.im x.re))) (log (* 3 (* x.im x.re))) (exp (* 3 (* x.im x.re))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re))) (* (* (* 3 3) 3) (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re))) (* (cbrt (* 3 (* x.im x.re))) (cbrt (* 3 (* x.im x.re)))) (cbrt (* 3 (* x.im x.re))) (* (* (* 3 (* x.im x.re)) (* 3 (* x.im x.re))) (* 3 (* x.im x.re))) (sqrt (* 3 (* x.im x.re))) (sqrt (* 3 (* x.im x.re))) (* 3 x.im) (* (cbrt 3) (* x.im x.re)) (* (sqrt 3) (* x.im x.re)) (* 3 (* x.im x.re)) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) (+ (+ (log 3) (+ (log x.im) (log x.re))) (log x.im)) (+ (+ (log 3) (log (* x.im x.re))) (log x.im)) (+ (log (* 3 (* x.im x.re))) (log x.im)) (log (* (* 3 (* x.im x.re)) x.im)) (exp (* (* 3 (* x.im x.re)) x.im)) (* (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re))) (* (* x.im x.im) x.im)) (* (* (* (* 3 3) 3) (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re))) (* (* x.im x.im) x.im)) (* (* (* (* 3 (* x.im x.re)) (* 3 (* x.im x.re))) (* 3 (* x.im x.re))) (* (* x.im x.im) x.im)) (* (cbrt (* (* 3 (* x.im x.re)) x.im)) (cbrt (* (* 3 (* x.im x.re)) x.im))) (cbrt (* (* 3 (* x.im x.re)) x.im)) (* (* (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im)) (* (* 3 (* x.im x.re)) x.im)) (sqrt (* (* 3 (* x.im x.re)) x.im)) (sqrt (* (* 3 (* x.im x.re)) x.im)) (* (* 3 (* x.im x.re)) (* (cbrt x.im) (cbrt x.im))) (* (* 3 (* x.im x.re)) (sqrt x.im)) (* (* 3 (* x.im x.re)) 1) (* (* x.im x.re) x.im) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) 0.933 * * [simplify]: iteration 0 : 167 enodes (cost 177 ) 0.938 * * [simplify]: iteration 1 : 817 enodes (cost 145 ) 0.962 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.963 * [simplify]: Simplified to: (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (log (* 3 (* x.im x.re))) (log (* 3 (* x.im x.re))) (log (* 3 (* x.im x.re))) (exp (* 3 (* x.im x.re))) (pow (* 3 (* x.im x.re)) 3) (pow (* 3 (* x.im x.re)) 3) (* (cbrt (* 3 (* x.im x.re))) (cbrt (* 3 (* x.im x.re)))) (cbrt (* 3 (* x.im x.re))) (pow (* 3 (* x.im x.re)) 3) (sqrt (* 3 (* x.im x.re))) (sqrt (* 3 (* x.im x.re))) (* 3 x.im) (* (cbrt 3) (* x.im x.re)) (* (sqrt 3) (* x.im x.re)) (* 3 (* x.im x.re)) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) (log (* (* 3 (* x.im x.re)) x.im)) (log (* (* 3 (* x.im x.re)) x.im)) (log (* (* 3 (* x.im x.re)) x.im)) (log (* (* 3 (* x.im x.re)) x.im)) (exp (* (* 3 (* x.im x.re)) x.im)) (pow (* (* 3 (* x.im x.re)) x.im) 3) (pow (* (* 3 (* x.im x.re)) x.im) 3) (pow (* (* 3 (* x.im x.re)) x.im) 3) (* (cbrt (* (* 3 (* x.im x.re)) x.im)) (cbrt (* (* 3 (* x.im x.re)) x.im))) (cbrt (* (* 3 (* x.im x.re)) x.im)) (pow (* (* 3 (* x.im x.re)) x.im) 3) (sqrt (* (* 3 (* x.im x.re)) x.im)) (sqrt (* (* 3 (* x.im x.re)) x.im)) (* (* 3 (* x.im x.re)) (* (cbrt x.im) (cbrt x.im))) (* (* 3 (* x.im x.re)) (sqrt x.im)) (* 3 (* x.im x.re)) (* (* x.im x.re) x.im) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) 0.964 * * * [progress]: adding candidates to table 1.020 * [progress]: [Phase 3 of 3] Extracting. 1.020 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.021 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 1.021 * * * * [regimes]: Trying to branch on x.im from (# # # # # # #) 1.045 * * * * [regimes]: Trying to branch on x.re from (# # # # # # #) 1.068 * * * [regime]: Found split indices: #