1.945 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.061 * * * [progress]: [2/2] Setting up program. 0.063 * [progress]: [Phase 2 of 3] Improving. 0.063 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.066 * * [simplify]: iteration 0 : 21 enodes (cost 9 ) 0.068 * * [simplify]: iteration 1 : 55 enodes (cost 9 ) 0.069 * * [simplify]: iteration 2 : 150 enodes (cost 9 ) 0.073 * * [simplify]: iteration 3 : 401 enodes (cost 6 ) 0.081 * * [simplify]: iteration 4 : 1088 enodes (cost 5 ) 0.100 * * [simplify]: iteration 5 : 2704 enodes (cost 5 ) 0.147 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.148 * [simplify]: Simplified to: (- (pow x.re 3) (* 3 (* x.im (* x.re x.im)))) 0.150 * * [progress]: iteration 1 / 4 0.150 * * * [progress]: picking best candidate 0.153 * * * * [pick]: Picked # 0.154 * * * [progress]: localizing error 0.161 * * * [progress]: generating rewritten candidates 0.161 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.175 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.182 * * * [progress]: generating series expansions 0.182 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.182 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.182 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.182 * [taylor]: Taking taylor expansion of 3 in x.re 0.182 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.182 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.182 * [taylor]: Taking taylor expansion of x.im in x.re 0.182 * [taylor]: Taking taylor expansion of x.re in x.re 0.182 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.182 * [taylor]: Taking taylor expansion of 3 in x.im 0.182 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.182 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.182 * [taylor]: Taking taylor expansion of x.im in x.im 0.182 * [taylor]: Taking taylor expansion of x.re in x.im 0.182 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.182 * [taylor]: Taking taylor expansion of 3 in x.im 0.182 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.182 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.182 * [taylor]: Taking taylor expansion of x.im in x.im 0.182 * [taylor]: Taking taylor expansion of x.re in x.im 0.183 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.183 * [taylor]: Taking taylor expansion of 3 in x.re 0.183 * [taylor]: Taking taylor expansion of x.re in x.re 0.184 * [taylor]: Taking taylor expansion of 0 in x.re 0.186 * [taylor]: Taking taylor expansion of 0 in x.re 0.189 * [taylor]: Taking taylor expansion of 0 in x.re 0.189 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.189 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.189 * [taylor]: Taking taylor expansion of 3 in x.re 0.189 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.189 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.189 * [taylor]: Taking taylor expansion of x.im in x.re 0.189 * [taylor]: Taking taylor expansion of x.re in x.re 0.190 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.190 * [taylor]: Taking taylor expansion of 3 in x.im 0.190 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.190 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.190 * [taylor]: Taking taylor expansion of x.im in x.im 0.190 * [taylor]: Taking taylor expansion of x.re in x.im 0.190 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.190 * [taylor]: Taking taylor expansion of 3 in x.im 0.190 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.190 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.190 * [taylor]: Taking taylor expansion of x.im in x.im 0.190 * [taylor]: Taking taylor expansion of x.re in x.im 0.190 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.190 * [taylor]: Taking taylor expansion of 3 in x.re 0.190 * [taylor]: Taking taylor expansion of x.re in x.re 0.192 * [taylor]: Taking taylor expansion of 0 in x.re 0.193 * [taylor]: Taking taylor expansion of 0 in x.re 0.195 * [taylor]: Taking taylor expansion of 0 in x.re 0.196 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.196 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.196 * [taylor]: Taking taylor expansion of -3 in x.re 0.196 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.196 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.196 * [taylor]: Taking taylor expansion of x.im in x.re 0.196 * [taylor]: Taking taylor expansion of x.re in x.re 0.197 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.197 * [taylor]: Taking taylor expansion of -3 in x.im 0.197 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.197 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.197 * [taylor]: Taking taylor expansion of x.im in x.im 0.197 * [taylor]: Taking taylor expansion of x.re in x.im 0.197 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.197 * [taylor]: Taking taylor expansion of -3 in x.im 0.197 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.197 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.197 * [taylor]: Taking taylor expansion of x.im in x.im 0.197 * [taylor]: Taking taylor expansion of x.re in x.im 0.198 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.198 * [taylor]: Taking taylor expansion of -3 in x.re 0.198 * [taylor]: Taking taylor expansion of x.re in x.re 0.199 * [taylor]: Taking taylor expansion of 0 in x.re 0.200 * [taylor]: Taking taylor expansion of 0 in x.re 0.202 * [taylor]: Taking taylor expansion of 0 in x.re 0.203 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.203 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.im x.re) around 0 0.203 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.203 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.203 * [taylor]: Taking taylor expansion of x.im in x.re 0.203 * [taylor]: Taking taylor expansion of x.re in x.re 0.203 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.203 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.203 * [taylor]: Taking taylor expansion of x.im in x.im 0.203 * [taylor]: Taking taylor expansion of x.re in x.im 0.203 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.204 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.204 * [taylor]: Taking taylor expansion of x.im in x.im 0.204 * [taylor]: Taking taylor expansion of x.re in x.im 0.204 * [taylor]: Taking taylor expansion of x.re in x.re 0.205 * [taylor]: Taking taylor expansion of 0 in x.re 0.206 * [taylor]: Taking taylor expansion of 0 in x.re 0.207 * [taylor]: Taking taylor expansion of 0 in x.re 0.207 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.207 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.207 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.207 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.207 * [taylor]: Taking taylor expansion of x.im in x.re 0.207 * [taylor]: Taking taylor expansion of x.re in x.re 0.208 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.208 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.208 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.208 * [taylor]: Taking taylor expansion of x.im in x.im 0.208 * [taylor]: Taking taylor expansion of x.re in x.im 0.208 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.208 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.208 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.208 * [taylor]: Taking taylor expansion of x.im in x.im 0.208 * [taylor]: Taking taylor expansion of x.re in x.im 0.209 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.209 * [taylor]: Taking taylor expansion of x.re in x.re 0.212 * [taylor]: Taking taylor expansion of 0 in x.re 0.214 * [taylor]: Taking taylor expansion of 0 in x.re 0.216 * [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 -1 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 0.217 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.217 * [taylor]: Taking taylor expansion of -1 in x.im 0.217 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.217 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.217 * [taylor]: Taking taylor expansion of x.im in x.im 0.217 * [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 -1 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 x.re) in x.re 0.218 * [taylor]: Taking taylor expansion of -1 in x.re 0.218 * [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 0.224 * * * [progress]: simplifying candidates 0.224 * [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) 0.228 * * [simplify]: iteration 0 : 151 enodes (cost 179 ) 0.231 * * [simplify]: iteration 1 : 581 enodes (cost 143 ) 0.245 * * [simplify]: iteration 2 : 3219 enodes (cost 143 ) 0.310 * * [simplify]: iteration 3 : 5001 enodes (cost 142 ) 0.312 * [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)) 0.312 * * * [progress]: adding candidates to table 0.368 * * [progress]: iteration 2 / 4 0.368 * * * [progress]: picking best candidate 0.379 * * * * [pick]: Picked # 0.379 * * * [progress]: localizing error 0.386 * * * [progress]: generating rewritten candidates 0.386 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.396 * * * [progress]: generating series expansions 0.396 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.396 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.396 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.396 * [taylor]: Taking taylor expansion of 3 in x.re 0.396 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.396 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.396 * [taylor]: Taking taylor expansion of x.im in x.re 0.396 * [taylor]: Taking taylor expansion of x.re in x.re 0.396 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.396 * [taylor]: Taking taylor expansion of 3 in x.im 0.396 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.396 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.396 * [taylor]: Taking taylor expansion of x.im in x.im 0.396 * [taylor]: Taking taylor expansion of x.re in x.im 0.396 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.396 * [taylor]: Taking taylor expansion of 3 in x.im 0.397 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.397 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.397 * [taylor]: Taking taylor expansion of x.im in x.im 0.397 * [taylor]: Taking taylor expansion of x.re in x.im 0.397 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.397 * [taylor]: Taking taylor expansion of 3 in x.re 0.397 * [taylor]: Taking taylor expansion of x.re in x.re 0.398 * [taylor]: Taking taylor expansion of 0 in x.re 0.400 * [taylor]: Taking taylor expansion of 0 in x.re 0.403 * [taylor]: Taking taylor expansion of 0 in x.re 0.403 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.403 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.403 * [taylor]: Taking taylor expansion of 3 in x.re 0.403 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.403 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.403 * [taylor]: Taking taylor expansion of x.im in x.re 0.403 * [taylor]: Taking taylor expansion of x.re in x.re 0.404 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.404 * [taylor]: Taking taylor expansion of 3 in x.im 0.404 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.404 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.404 * [taylor]: Taking taylor expansion of x.im in x.im 0.404 * [taylor]: Taking taylor expansion of x.re in x.im 0.404 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.404 * [taylor]: Taking taylor expansion of 3 in x.im 0.404 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.404 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.404 * [taylor]: Taking taylor expansion of x.im in x.im 0.404 * [taylor]: Taking taylor expansion of x.re in x.im 0.405 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.405 * [taylor]: Taking taylor expansion of 3 in x.re 0.405 * [taylor]: Taking taylor expansion of x.re in x.re 0.406 * [taylor]: Taking taylor expansion of 0 in x.re 0.407 * [taylor]: Taking taylor expansion of 0 in x.re 0.409 * [taylor]: Taking taylor expansion of 0 in x.re 0.410 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.410 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.410 * [taylor]: Taking taylor expansion of -3 in x.re 0.410 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.410 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.410 * [taylor]: Taking taylor expansion of x.im in x.re 0.411 * [taylor]: Taking taylor expansion of x.re in x.re 0.411 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.411 * [taylor]: Taking taylor expansion of -3 in x.im 0.411 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.411 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.411 * [taylor]: Taking taylor expansion of x.im in x.im 0.411 * [taylor]: Taking taylor expansion of x.re in x.im 0.412 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.412 * [taylor]: Taking taylor expansion of -3 in x.im 0.412 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.412 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.412 * [taylor]: Taking taylor expansion of x.im in x.im 0.412 * [taylor]: Taking taylor expansion of x.re in x.im 0.412 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.412 * [taylor]: Taking taylor expansion of -3 in x.re 0.412 * [taylor]: Taking taylor expansion of x.re in x.re 0.413 * [taylor]: Taking taylor expansion of 0 in x.re 0.415 * [taylor]: Taking taylor expansion of 0 in x.re 0.417 * [taylor]: Taking taylor expansion of 0 in x.re 0.417 * * * [progress]: simplifying candidates 0.418 * [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)) 0.421 * * [simplify]: iteration 0 : 135 enodes (cost 118 ) 0.424 * * [simplify]: iteration 1 : 621 enodes (cost 90 ) 0.441 * * [simplify]: iteration 2 : 3862 enodes (cost 90 ) 0.527 * * [simplify]: iteration 3 : 5001 enodes (cost 90 ) 0.530 * [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)) 0.530 * * * [progress]: adding candidates to table 0.553 * * [progress]: iteration 3 / 4 0.553 * * * [progress]: picking best candidate 0.564 * * * * [pick]: Picked # 0.564 * * * [progress]: localizing error 0.571 * * * [progress]: generating rewritten candidates 0.571 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.577 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.601 * * * [progress]: generating series expansions 0.601 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.601 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.601 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.601 * [taylor]: Taking taylor expansion of 3 in x.re 0.601 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.601 * [taylor]: Taking taylor expansion of x.im in x.re 0.601 * [taylor]: Taking taylor expansion of x.re in x.re 0.601 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.601 * [taylor]: Taking taylor expansion of 3 in x.im 0.601 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.601 * [taylor]: Taking taylor expansion of x.im in x.im 0.601 * [taylor]: Taking taylor expansion of x.re in x.im 0.601 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.601 * [taylor]: Taking taylor expansion of 3 in x.im 0.602 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.602 * [taylor]: Taking taylor expansion of x.im in x.im 0.602 * [taylor]: Taking taylor expansion of x.re in x.im 0.602 * [taylor]: Taking taylor expansion of 0 in x.re 0.603 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.603 * [taylor]: Taking taylor expansion of 3 in x.re 0.603 * [taylor]: Taking taylor expansion of x.re in x.re 0.604 * [taylor]: Taking taylor expansion of 0 in x.re 0.606 * [taylor]: Taking taylor expansion of 0 in x.re 0.609 * [taylor]: Taking taylor expansion of 0 in x.re 0.609 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.609 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.609 * [taylor]: Taking taylor expansion of 3 in x.re 0.609 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.609 * [taylor]: Taking taylor expansion of x.im in x.re 0.609 * [taylor]: Taking taylor expansion of x.re in x.re 0.609 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.609 * [taylor]: Taking taylor expansion of 3 in x.im 0.609 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.609 * [taylor]: Taking taylor expansion of x.im in x.im 0.609 * [taylor]: Taking taylor expansion of x.re in x.im 0.610 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.610 * [taylor]: Taking taylor expansion of 3 in x.im 0.610 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.610 * [taylor]: Taking taylor expansion of x.im in x.im 0.610 * [taylor]: Taking taylor expansion of x.re in x.im 0.610 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.610 * [taylor]: Taking taylor expansion of 3 in x.re 0.610 * [taylor]: Taking taylor expansion of x.re in x.re 0.611 * [taylor]: Taking taylor expansion of 0 in x.re 0.612 * [taylor]: Taking taylor expansion of 0 in x.re 0.614 * [taylor]: Taking taylor expansion of 0 in x.re 0.615 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.615 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.615 * [taylor]: Taking taylor expansion of 3 in x.re 0.615 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.615 * [taylor]: Taking taylor expansion of x.im in x.re 0.615 * [taylor]: Taking taylor expansion of x.re in x.re 0.615 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.615 * [taylor]: Taking taylor expansion of 3 in x.im 0.615 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.615 * [taylor]: Taking taylor expansion of x.im in x.im 0.615 * [taylor]: Taking taylor expansion of x.re in x.im 0.616 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.616 * [taylor]: Taking taylor expansion of 3 in x.im 0.616 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.616 * [taylor]: Taking taylor expansion of x.im in x.im 0.616 * [taylor]: Taking taylor expansion of x.re in x.im 0.616 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.616 * [taylor]: Taking taylor expansion of 3 in x.re 0.616 * [taylor]: Taking taylor expansion of x.re in x.re 0.617 * [taylor]: Taking taylor expansion of 0 in x.re 0.618 * [taylor]: Taking taylor expansion of 0 in x.re 0.620 * [taylor]: Taking taylor expansion of 0 in x.re 0.621 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.621 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.621 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.621 * [taylor]: Taking taylor expansion of 3 in x.re 0.621 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.621 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.621 * [taylor]: Taking taylor expansion of x.im in x.re 0.621 * [taylor]: Taking taylor expansion of x.re in x.re 0.621 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.621 * [taylor]: Taking taylor expansion of 3 in x.im 0.621 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.621 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.621 * [taylor]: Taking taylor expansion of x.im in x.im 0.621 * [taylor]: Taking taylor expansion of x.re in x.im 0.621 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.621 * [taylor]: Taking taylor expansion of 3 in x.im 0.621 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.621 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.621 * [taylor]: Taking taylor expansion of x.im in x.im 0.621 * [taylor]: Taking taylor expansion of x.re in x.im 0.621 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.621 * [taylor]: Taking taylor expansion of 3 in x.re 0.621 * [taylor]: Taking taylor expansion of x.re in x.re 0.623 * [taylor]: Taking taylor expansion of 0 in x.re 0.625 * [taylor]: Taking taylor expansion of 0 in x.re 0.627 * [taylor]: Taking taylor expansion of 0 in x.re 0.628 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.628 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.628 * [taylor]: Taking taylor expansion of 3 in x.re 0.628 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.628 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.628 * [taylor]: Taking taylor expansion of x.im in x.re 0.628 * [taylor]: Taking taylor expansion of x.re in x.re 0.628 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.628 * [taylor]: Taking taylor expansion of 3 in x.im 0.628 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.628 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.628 * [taylor]: Taking taylor expansion of x.im in x.im 0.628 * [taylor]: Taking taylor expansion of x.re in x.im 0.629 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.629 * [taylor]: Taking taylor expansion of 3 in x.im 0.629 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.629 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.629 * [taylor]: Taking taylor expansion of x.im in x.im 0.629 * [taylor]: Taking taylor expansion of x.re in x.im 0.629 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.629 * [taylor]: Taking taylor expansion of 3 in x.re 0.629 * [taylor]: Taking taylor expansion of x.re in x.re 0.630 * [taylor]: Taking taylor expansion of 0 in x.re 0.632 * [taylor]: Taking taylor expansion of 0 in x.re 0.634 * [taylor]: Taking taylor expansion of 0 in x.re 0.635 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.635 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.635 * [taylor]: Taking taylor expansion of -3 in x.re 0.635 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.635 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.635 * [taylor]: Taking taylor expansion of x.im in x.re 0.635 * [taylor]: Taking taylor expansion of x.re in x.re 0.635 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.635 * [taylor]: Taking taylor expansion of -3 in x.im 0.635 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.635 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.636 * [taylor]: Taking taylor expansion of x.im in x.im 0.636 * [taylor]: Taking taylor expansion of x.re in x.im 0.636 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.636 * [taylor]: Taking taylor expansion of -3 in x.im 0.636 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.636 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.636 * [taylor]: Taking taylor expansion of x.im in x.im 0.636 * [taylor]: Taking taylor expansion of x.re in x.im 0.636 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.636 * [taylor]: Taking taylor expansion of -3 in x.re 0.636 * [taylor]: Taking taylor expansion of x.re 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 0.641 * [taylor]: Taking taylor expansion of 0 in x.re 0.642 * * * [progress]: simplifying candidates 0.642 * [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)) 0.646 * * [simplify]: iteration 0 : 172 enodes (cost 179 ) 0.651 * * [simplify]: iteration 1 : 998 enodes (cost 145 ) 0.677 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.678 * [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) 0.679 * * * [progress]: adding candidates to table 0.738 * * [progress]: iteration 4 / 4 0.738 * * * [progress]: picking best candidate 0.749 * * * * [pick]: Picked # 0.749 * * * [progress]: localizing error 0.759 * * * [progress]: generating rewritten candidates 0.759 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.765 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.783 * * * [progress]: generating series expansions 0.783 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.783 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.783 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.783 * [taylor]: Taking taylor expansion of 3 in x.re 0.783 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.783 * [taylor]: Taking taylor expansion of x.im in x.re 0.783 * [taylor]: Taking taylor expansion of x.re in x.re 0.783 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.783 * [taylor]: Taking taylor expansion of 3 in x.im 0.783 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.783 * [taylor]: Taking taylor expansion of x.im in x.im 0.783 * [taylor]: Taking taylor expansion of x.re in x.im 0.783 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.783 * [taylor]: Taking taylor expansion of 3 in x.im 0.783 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.783 * [taylor]: Taking taylor expansion of x.im in x.im 0.783 * [taylor]: Taking taylor expansion of x.re in x.im 0.784 * [taylor]: Taking taylor expansion of 0 in x.re 0.785 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.785 * [taylor]: Taking taylor expansion of 3 in x.re 0.785 * [taylor]: Taking taylor expansion of x.re in x.re 0.786 * [taylor]: Taking taylor expansion of 0 in x.re 0.788 * [taylor]: Taking taylor expansion of 0 in x.re 0.791 * [taylor]: Taking taylor expansion of 0 in x.re 0.791 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.791 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.791 * [taylor]: Taking taylor expansion of 3 in x.re 0.791 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.791 * [taylor]: Taking taylor expansion of x.im in x.re 0.791 * [taylor]: Taking taylor expansion of x.re in x.re 0.791 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.791 * [taylor]: Taking taylor expansion of 3 in x.im 0.791 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.791 * [taylor]: Taking taylor expansion of x.im in x.im 0.791 * [taylor]: Taking taylor expansion of x.re in x.im 0.792 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.792 * [taylor]: Taking taylor expansion of 3 in x.im 0.792 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.792 * [taylor]: Taking taylor expansion of x.im in x.im 0.792 * [taylor]: Taking taylor expansion of x.re in x.im 0.792 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.792 * [taylor]: Taking taylor expansion of 3 in x.re 0.792 * [taylor]: Taking taylor expansion of x.re in x.re 0.793 * [taylor]: Taking taylor expansion of 0 in x.re 0.794 * [taylor]: Taking taylor expansion of 0 in x.re 0.796 * [taylor]: Taking taylor expansion of 0 in x.re 0.797 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.797 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.797 * [taylor]: Taking taylor expansion of 3 in x.re 0.797 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.797 * [taylor]: Taking taylor expansion of x.im in x.re 0.797 * [taylor]: Taking taylor expansion of x.re in x.re 0.797 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.797 * [taylor]: Taking taylor expansion of 3 in x.im 0.797 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.797 * [taylor]: Taking taylor expansion of x.im in x.im 0.797 * [taylor]: Taking taylor expansion of x.re in x.im 0.798 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.798 * [taylor]: Taking taylor expansion of 3 in x.im 0.798 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.798 * [taylor]: Taking taylor expansion of x.im in x.im 0.798 * [taylor]: Taking taylor expansion of x.re in x.im 0.798 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.798 * [taylor]: Taking taylor expansion of 3 in x.re 0.798 * [taylor]: Taking taylor expansion of x.re in x.re 0.799 * [taylor]: Taking taylor expansion of 0 in x.re 0.800 * [taylor]: Taking taylor expansion of 0 in x.re 0.802 * [taylor]: Taking taylor expansion of 0 in x.re 0.803 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.803 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.803 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.803 * [taylor]: Taking taylor expansion of 3 in x.re 0.803 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.803 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.803 * [taylor]: Taking taylor expansion of x.im in x.re 0.803 * [taylor]: Taking taylor expansion of x.re in x.re 0.803 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.803 * [taylor]: Taking taylor expansion of 3 in x.im 0.803 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.803 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.803 * [taylor]: Taking taylor expansion of x.im in x.im 0.803 * [taylor]: Taking taylor expansion of x.re in x.im 0.803 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.803 * [taylor]: Taking taylor expansion of 3 in x.im 0.803 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.803 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.803 * [taylor]: Taking taylor expansion of x.im in x.im 0.803 * [taylor]: Taking taylor expansion of x.re in x.im 0.803 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.804 * [taylor]: Taking taylor expansion of 3 in x.re 0.804 * [taylor]: Taking taylor expansion of x.re in x.re 0.805 * [taylor]: Taking taylor expansion of 0 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 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.810 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.810 * [taylor]: Taking taylor expansion of 3 in x.re 0.810 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.810 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.810 * [taylor]: Taking taylor expansion of x.im in x.re 0.810 * [taylor]: Taking taylor expansion of x.re in x.re 0.811 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.811 * [taylor]: Taking taylor expansion of 3 in x.im 0.811 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.811 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.811 * [taylor]: Taking taylor expansion of x.im in x.im 0.811 * [taylor]: Taking taylor expansion of x.re in x.im 0.811 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.811 * [taylor]: Taking taylor expansion of 3 in x.im 0.811 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.811 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.811 * [taylor]: Taking taylor expansion of x.im in x.im 0.811 * [taylor]: Taking taylor expansion of x.re in x.im 0.812 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.812 * [taylor]: Taking taylor expansion of 3 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 0.814 * [taylor]: Taking taylor expansion of 0 in x.re 0.816 * [taylor]: Taking taylor expansion of 0 in x.re 0.817 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.817 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.817 * [taylor]: Taking taylor expansion of -3 in x.re 0.817 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.817 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.817 * [taylor]: Taking taylor expansion of x.im in x.re 0.817 * [taylor]: Taking taylor expansion of x.re in x.re 0.818 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.818 * [taylor]: Taking taylor expansion of -3 in x.im 0.818 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.818 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.818 * [taylor]: Taking taylor expansion of x.im in x.im 0.818 * [taylor]: Taking taylor expansion of x.re in x.im 0.818 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.818 * [taylor]: Taking taylor expansion of -3 in x.im 0.818 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.818 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.818 * [taylor]: Taking taylor expansion of x.im in x.im 0.818 * [taylor]: Taking taylor expansion of x.re in x.im 0.819 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.819 * [taylor]: Taking taylor expansion of -3 in x.re 0.819 * [taylor]: Taking taylor expansion of x.re in x.re 0.820 * [taylor]: Taking taylor expansion of 0 in x.re 0.821 * [taylor]: Taking taylor expansion of 0 in x.re 0.823 * [taylor]: Taking taylor expansion of 0 in x.re 0.824 * * * [progress]: simplifying candidates 0.825 * [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)) 0.828 * * [simplify]: iteration 0 : 167 enodes (cost 177 ) 0.832 * * [simplify]: iteration 1 : 817 enodes (cost 145 ) 0.857 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.858 * [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) 0.858 * * * [progress]: adding candidates to table 0.920 * [progress]: [Phase 3 of 3] Extracting. 0.920 * * [regime]: Finding splitpoints for: (# # # # # # # #) 0.921 * * * [regime-changes]: Trying 3 branch expressions: ((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) x.im x.re) 0.921 * * * * [regimes]: Trying to branch on (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) from (# # # # # # # #) 0.945 * * * * [regimes]: Trying to branch on x.im from (# # # # # # # #) 0.972 * * * * [regimes]: Trying to branch on x.re from (# # # # # # # #) 0.998 * * * [regime]: Found split indices: #