2.690 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.027 * * [simplify]: iteration 0 : 11 enodes (cost 19 ) 0.029 * * [simplify]: iteration 1 : 24 enodes (cost 18 ) 0.033 * * [simplify]: iteration 2 : 59 enodes (cost 17 ) 0.043 * * [simplify]: iteration 3 : 152 enodes (cost 16 ) 0.075 * * [simplify]: iteration 4 : 397 enodes (cost 14 ) 0.179 * * [simplify]: iteration 5 : 935 enodes (cost 11 ) 0.451 * * [simplify]: iteration 6 : 2614 enodes (cost 10 ) 1.121 * * [simplify]: iteration done : 5000 enodes (cost 10 ) 1.121 * [simplify]: Simplified to: (fma x.im (* -3 (* x.re x.im)) (pow x.re 3)) 1.124 * * [progress]: iteration 1 / 4 1.124 * * * [progress]: picking best candidate 1.127 * * * * [pick]: Picked # 1.127 * * * [progress]: localizing error 1.134 * * * [progress]: generating rewritten candidates 1.134 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.140 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.141 * * * [progress]: generating series expansions 1.141 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.141 * [approximate]: Taking taylor expansion of (* -3 (* x.im x.re)) in (x.re x.im) around 0 1.141 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.im 1.141 * [taylor]: Taking taylor expansion of -3 in x.im 1.141 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.141 * [taylor]: Taking taylor expansion of x.im in x.im 1.141 * [taylor]: Taking taylor expansion of x.re in x.im 1.141 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 1.141 * [taylor]: Taking taylor expansion of -3 in x.re 1.141 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.141 * [taylor]: Taking taylor expansion of x.im in x.re 1.141 * [taylor]: Taking taylor expansion of x.re in x.re 1.141 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 1.141 * [taylor]: Taking taylor expansion of -3 in x.re 1.141 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.141 * [taylor]: Taking taylor expansion of x.im in x.re 1.141 * [taylor]: Taking taylor expansion of x.re in x.re 1.142 * [taylor]: Taking taylor expansion of 0 in x.im 1.142 * [taylor]: Taking taylor expansion of (- (* 3 x.im)) in x.im 1.142 * [taylor]: Taking taylor expansion of (* 3 x.im) in x.im 1.142 * [taylor]: Taking taylor expansion of 3 in x.im 1.143 * [taylor]: Taking taylor expansion of x.im in x.im 1.144 * [taylor]: Taking taylor expansion of 0 in x.im 1.150 * [taylor]: Taking taylor expansion of 0 in x.im 1.152 * [taylor]: Taking taylor expansion of 0 in x.im 1.153 * [approximate]: Taking taylor expansion of (/ -3 (* x.im x.re)) in (x.re x.im) around 0 1.153 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 1.153 * [taylor]: Taking taylor expansion of -3 in x.im 1.153 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.153 * [taylor]: Taking taylor expansion of x.im in x.im 1.153 * [taylor]: Taking taylor expansion of x.re in x.im 1.153 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 1.153 * [taylor]: Taking taylor expansion of -3 in x.re 1.153 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.153 * [taylor]: Taking taylor expansion of x.im in x.re 1.153 * [taylor]: Taking taylor expansion of x.re in x.re 1.153 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 1.153 * [taylor]: Taking taylor expansion of -3 in x.re 1.153 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.153 * [taylor]: Taking taylor expansion of x.im in x.re 1.153 * [taylor]: Taking taylor expansion of x.re in x.re 1.154 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 1.154 * [taylor]: Taking taylor expansion of -3 in x.im 1.154 * [taylor]: Taking taylor expansion of x.im in x.im 1.155 * [taylor]: Taking taylor expansion of 0 in x.im 1.156 * [taylor]: Taking taylor expansion of 0 in x.im 1.157 * [taylor]: Taking taylor expansion of 0 in x.im 1.158 * [approximate]: Taking taylor expansion of (/ -3 (* x.im x.re)) in (x.re x.im) around 0 1.158 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 1.158 * [taylor]: Taking taylor expansion of -3 in x.im 1.158 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.158 * [taylor]: Taking taylor expansion of x.im in x.im 1.158 * [taylor]: Taking taylor expansion of x.re in x.im 1.158 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 1.158 * [taylor]: Taking taylor expansion of -3 in x.re 1.158 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.158 * [taylor]: Taking taylor expansion of x.im in x.re 1.158 * [taylor]: Taking taylor expansion of x.re in x.re 1.159 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 1.159 * [taylor]: Taking taylor expansion of -3 in x.re 1.159 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.159 * [taylor]: Taking taylor expansion of x.im in x.re 1.159 * [taylor]: Taking taylor expansion of x.re in x.re 1.159 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 1.159 * [taylor]: Taking taylor expansion of -3 in x.im 1.159 * [taylor]: Taking taylor expansion of x.im in x.im 1.160 * [taylor]: Taking taylor expansion of 0 in x.im 1.161 * [taylor]: Taking taylor expansion of 0 in x.im 1.162 * [taylor]: Taking taylor expansion of 0 in x.im 1.163 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.163 * [approximate]: Taking taylor expansion of (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)) in (x.im x.re) around 0 1.163 * [taylor]: Taking taylor expansion of (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)) in x.re 1.163 * [taylor]: Rewrote expression to (+ (* x.im (* -3 (* x.im x.re))) (pow x.re 3)) 1.163 * [taylor]: Taking taylor expansion of (* x.im (* -3 (* x.im x.re))) in x.re 1.163 * [taylor]: Taking taylor expansion of x.im in x.re 1.164 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 1.164 * [taylor]: Taking taylor expansion of -3 in x.re 1.164 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.164 * [taylor]: Taking taylor expansion of x.im in x.re 1.164 * [taylor]: Taking taylor expansion of x.re in x.re 1.164 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 1.164 * [taylor]: Taking taylor expansion of x.re in x.re 1.164 * [taylor]: Taking taylor expansion of (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)) in x.im 1.164 * [taylor]: Rewrote expression to (+ (* x.im (* -3 (* x.im x.re))) (pow x.re 3)) 1.164 * [taylor]: Taking taylor expansion of (* x.im (* -3 (* x.im x.re))) in x.im 1.164 * [taylor]: Taking taylor expansion of x.im in x.im 1.164 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.im 1.164 * [taylor]: Taking taylor expansion of -3 in x.im 1.164 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.164 * [taylor]: Taking taylor expansion of x.im in x.im 1.164 * [taylor]: Taking taylor expansion of x.re in x.im 1.164 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 1.164 * [taylor]: Taking taylor expansion of x.re in x.im 1.164 * [taylor]: Taking taylor expansion of (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)) in x.im 1.164 * [taylor]: Rewrote expression to (+ (* x.im (* -3 (* x.im x.re))) (pow x.re 3)) 1.164 * [taylor]: Taking taylor expansion of (* x.im (* -3 (* x.im x.re))) in x.im 1.164 * [taylor]: Taking taylor expansion of x.im in x.im 1.164 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.im 1.164 * [taylor]: Taking taylor expansion of -3 in x.im 1.164 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.164 * [taylor]: Taking taylor expansion of x.im in x.im 1.164 * [taylor]: Taking taylor expansion of x.re in x.im 1.164 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 1.164 * [taylor]: Taking taylor expansion of x.re in x.im 1.165 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 1.165 * [taylor]: Taking taylor expansion of x.re in x.re 1.166 * [taylor]: Taking taylor expansion of 0 in x.re 1.169 * [taylor]: Taking taylor expansion of (- (* 3 x.re)) in x.re 1.169 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 1.169 * [taylor]: Taking taylor expansion of 3 in x.re 1.169 * [taylor]: Taking taylor expansion of x.re in x.re 1.173 * [taylor]: Taking taylor expansion of 0 in x.re 1.179 * [taylor]: Taking taylor expansion of 0 in x.re 1.186 * [taylor]: Taking taylor expansion of 0 in x.re 1.187 * [approximate]: Taking taylor expansion of (fma (/ 1 x.im) (/ -3 (* x.im x.re)) (pow (/ 1 x.re) 3)) in (x.im x.re) around 0 1.187 * [taylor]: Taking taylor expansion of (fma (/ 1 x.im) (/ -3 (* x.im x.re)) (pow (/ 1 x.re) 3)) in x.re 1.187 * [taylor]: Rewrote expression to (+ (* (/ 1 x.im) (/ -3 (* x.im x.re))) (pow (/ 1 x.re) 3)) 1.187 * [taylor]: Taking taylor expansion of (* (/ 1 x.im) (/ -3 (* x.im x.re))) in x.re 1.187 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.re 1.187 * [taylor]: Taking taylor expansion of x.im in x.re 1.187 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 1.187 * [taylor]: Taking taylor expansion of -3 in x.re 1.187 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.187 * [taylor]: Taking taylor expansion of x.im in x.re 1.187 * [taylor]: Taking taylor expansion of x.re in x.re 1.187 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 1.187 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 1.187 * [taylor]: Taking taylor expansion of x.re in x.re 1.188 * [taylor]: Taking taylor expansion of (fma (/ 1 x.im) (/ -3 (* x.im x.re)) (pow (/ 1 x.re) 3)) in x.im 1.188 * [taylor]: Rewrote expression to (+ (* (/ 1 x.im) (/ -3 (* x.im x.re))) (pow (/ 1 x.re) 3)) 1.188 * [taylor]: Taking taylor expansion of (* (/ 1 x.im) (/ -3 (* x.im x.re))) in x.im 1.188 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.188 * [taylor]: Taking taylor expansion of x.im in x.im 1.188 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 1.188 * [taylor]: Taking taylor expansion of -3 in x.im 1.188 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.188 * [taylor]: Taking taylor expansion of x.im in x.im 1.188 * [taylor]: Taking taylor expansion of x.re in x.im 1.188 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 1.188 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 1.188 * [taylor]: Taking taylor expansion of x.re in x.im 1.189 * [taylor]: Taking taylor expansion of (fma (/ 1 x.im) (/ -3 (* x.im x.re)) (pow (/ 1 x.re) 3)) in x.im 1.189 * [taylor]: Rewrote expression to (+ (* (/ 1 x.im) (/ -3 (* x.im x.re))) (pow (/ 1 x.re) 3)) 1.189 * [taylor]: Taking taylor expansion of (* (/ 1 x.im) (/ -3 (* x.im x.re))) in x.im 1.189 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.189 * [taylor]: Taking taylor expansion of x.im in x.im 1.189 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 1.189 * [taylor]: Taking taylor expansion of -3 in x.im 1.189 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.189 * [taylor]: Taking taylor expansion of x.im in x.im 1.189 * [taylor]: Taking taylor expansion of x.re in x.im 1.189 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 1.189 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 1.189 * [taylor]: Taking taylor expansion of x.re in x.im 1.190 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 x.re))) in x.re 1.190 * [taylor]: Taking taylor expansion of (* 3 (/ 1 x.re)) in x.re 1.190 * [taylor]: Taking taylor expansion of 3 in x.re 1.190 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 1.190 * [taylor]: Taking taylor expansion of x.re in x.re 1.191 * [taylor]: Taking taylor expansion of 0 in x.re 1.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 1.194 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 1.194 * [taylor]: Taking taylor expansion of x.re in x.re 1.198 * [taylor]: Taking taylor expansion of 0 in x.re 1.204 * [taylor]: Taking taylor expansion of 0 in x.re 1.212 * [taylor]: Taking taylor expansion of 0 in x.re 1.214 * [approximate]: Taking taylor expansion of (fma (/ -1 x.im) (/ -3 (* x.im x.re)) (pow (/ -1 x.re) 3)) in (x.im x.re) around 0 1.214 * [taylor]: Taking taylor expansion of (fma (/ -1 x.im) (/ -3 (* x.im x.re)) (pow (/ -1 x.re) 3)) in x.re 1.215 * [taylor]: Rewrote expression to (+ (* (/ -1 x.im) (/ -3 (* x.im x.re))) (pow (/ -1 x.re) 3)) 1.215 * [taylor]: Taking taylor expansion of (* (/ -1 x.im) (/ -3 (* x.im x.re))) in x.re 1.215 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.re 1.215 * [taylor]: Taking taylor expansion of -1 in x.re 1.215 * [taylor]: Taking taylor expansion of x.im in x.re 1.215 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 1.215 * [taylor]: Taking taylor expansion of -3 in x.re 1.215 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.215 * [taylor]: Taking taylor expansion of x.im in x.re 1.215 * [taylor]: Taking taylor expansion of x.re in x.re 1.215 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 1.215 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 1.215 * [taylor]: Taking taylor expansion of -1 in x.re 1.215 * [taylor]: Taking taylor expansion of x.re in x.re 1.215 * [taylor]: Taking taylor expansion of (fma (/ -1 x.im) (/ -3 (* x.im x.re)) (pow (/ -1 x.re) 3)) in x.im 1.216 * [taylor]: Rewrote expression to (+ (* (/ -1 x.im) (/ -3 (* x.im x.re))) (pow (/ -1 x.re) 3)) 1.216 * [taylor]: Taking taylor expansion of (* (/ -1 x.im) (/ -3 (* x.im x.re))) in x.im 1.216 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.im 1.216 * [taylor]: Taking taylor expansion of -1 in x.im 1.216 * [taylor]: Taking taylor expansion of x.im in x.im 1.216 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 1.216 * [taylor]: Taking taylor expansion of -3 in x.im 1.216 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.216 * [taylor]: Taking taylor expansion of x.im in x.im 1.216 * [taylor]: Taking taylor expansion of x.re in x.im 1.216 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 1.216 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 1.216 * [taylor]: Taking taylor expansion of -1 in x.im 1.216 * [taylor]: Taking taylor expansion of x.re in x.im 1.216 * [taylor]: Taking taylor expansion of (fma (/ -1 x.im) (/ -3 (* x.im x.re)) (pow (/ -1 x.re) 3)) in x.im 1.217 * [taylor]: Rewrote expression to (+ (* (/ -1 x.im) (/ -3 (* x.im x.re))) (pow (/ -1 x.re) 3)) 1.217 * [taylor]: Taking taylor expansion of (* (/ -1 x.im) (/ -3 (* x.im x.re))) in x.im 1.217 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.im 1.217 * [taylor]: Taking taylor expansion of -1 in x.im 1.217 * [taylor]: Taking taylor expansion of x.im in x.im 1.217 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 1.217 * [taylor]: Taking taylor expansion of -3 in x.im 1.217 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.217 * [taylor]: Taking taylor expansion of x.im in x.im 1.217 * [taylor]: Taking taylor expansion of x.re in x.im 1.217 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 1.217 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 1.217 * [taylor]: Taking taylor expansion of -1 in x.im 1.217 * [taylor]: Taking taylor expansion of x.re in x.im 1.218 * [taylor]: Taking taylor expansion of (* 3 (/ 1 x.re)) in x.re 1.218 * [taylor]: Taking taylor expansion of 3 in x.re 1.218 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 1.218 * [taylor]: Taking taylor expansion of x.re in x.re 1.219 * [taylor]: Taking taylor expansion of 0 in x.re 1.222 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3))) in x.re 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 1.222 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 1.222 * [taylor]: Taking taylor expansion of x.re in x.re 1.226 * [taylor]: Taking taylor expansion of 0 in x.re 1.232 * [taylor]: Taking taylor expansion of 0 in x.re 1.242 * [taylor]: Taking taylor expansion of 0 in x.re 1.245 * * * [progress]: simplifying candidates 1.245 * [simplify]: Simplifying using # : (expm1 (* -3 (* x.re x.im))) (log1p (* -3 (* x.re x.im))) (* -3 (* x.re x.im)) (* -3 (* x.re x.im)) (+ (log -3) (+ (log x.re) (log x.im))) (+ (log -3) (log (* x.re x.im))) (log (* -3 (* x.re x.im))) (exp (* -3 (* x.re x.im))) (* (* (* -3 -3) -3) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* (* -3 -3) -3) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (cbrt (* -3 (* x.re x.im))) (cbrt (* -3 (* x.re x.im)))) (cbrt (* -3 (* x.re x.im))) (* (* (* -3 (* x.re x.im)) (* -3 (* x.re x.im))) (* -3 (* x.re x.im))) (sqrt (* -3 (* x.re x.im))) (sqrt (* -3 (* x.re x.im))) (* -3 x.re) (* (cbrt -3) (* x.re x.im)) (* (sqrt -3) (* x.re x.im)) (* -3 (* x.re x.im)) (expm1 (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (log1p (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (* x.im (* -3 (* x.re x.im))) (log (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (exp (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (* (cbrt (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (cbrt (fma x.im (* -3 (* x.re x.im)) (pow x.re 3)))) (cbrt (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (* (* (fma x.im (* -3 (* x.re x.im)) (pow x.re 3)) (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (sqrt (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (sqrt (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (* -3 (* x.im x.re)) (* -3 (* x.im x.re)) (* -3 (* x.im x.re)) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) 1.247 * * [simplify]: iteration 0 : 57 enodes (cost 338 ) 1.258 * * [simplify]: iteration 1 : 136 enodes (cost 327 ) 1.289 * * [simplify]: iteration 2 : 457 enodes (cost 285 ) 1.412 * * [simplify]: iteration 3 : 1475 enodes (cost 282 ) 1.996 * * [simplify]: iteration 4 : 4940 enodes (cost 282 ) 4.275 * * [simplify]: iteration done : 5000 enodes (cost 282 ) 4.275 * [simplify]: Simplified to: (expm1 (* -3 (* x.re x.im))) (log1p (* -3 (* x.re x.im))) (* -3 (* x.re x.im)) (* -3 (* x.re x.im)) (log (* -3 (* x.re x.im))) (log (* -3 (* x.re x.im))) (log (* -3 (* x.re x.im))) (exp (* -3 (* x.re x.im))) (pow (* -3 (* x.re x.im)) 3) (pow (* -3 (* x.re x.im)) 3) (* (cbrt (* -3 (* x.re x.im))) (cbrt (* -3 (* x.re x.im)))) (cbrt (* -3 (* x.re x.im))) (pow (* -3 (* x.re x.im)) 3) (sqrt (* -3 (* x.re x.im))) (sqrt (* -3 (* x.re x.im))) (* -3 x.re) (* (cbrt -3) (* x.re x.im)) (* (sqrt -3) (* x.re x.im)) (* -3 (* x.re x.im)) (expm1 (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (log1p (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (* (* x.im (* x.re x.im)) -3) (log (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (exp (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (* (cbrt (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (cbrt (fma x.im (* -3 (* x.re x.im)) (pow x.re 3)))) (cbrt (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (pow (fma x.im (* -3 (* x.re x.im)) (pow x.re 3)) 3) (sqrt (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (sqrt (fma x.im (* -3 (* x.re x.im)) (pow x.re 3))) (* -3 (* x.re x.im)) (* -3 (* x.re x.im)) (* -3 (* x.re x.im)) (fma x.im (* -3 (* x.re x.im)) (pow x.re 3)) (fma x.im (* -3 (* x.re x.im)) (pow x.re 3)) (fma x.im (* -3 (* x.re x.im)) (pow x.re 3)) 4.276 * * * [progress]: adding candidates to table 4.344 * * [progress]: iteration 2 / 4 4.345 * * * [progress]: picking best candidate 4.353 * * * * [pick]: Picked # 4.353 * * * [progress]: localizing error 4.360 * * * [progress]: generating rewritten candidates 4.360 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 4.366 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 4.367 * * * [progress]: generating series expansions 4.367 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 4.367 * [approximate]: Taking taylor expansion of (* -3 (* x.im x.re)) in (x.re x.im) around 0 4.368 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.im 4.368 * [taylor]: Taking taylor expansion of -3 in x.im 4.368 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.368 * [taylor]: Taking taylor expansion of x.im in x.im 4.368 * [taylor]: Taking taylor expansion of x.re in x.im 4.368 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 4.368 * [taylor]: Taking taylor expansion of -3 in x.re 4.368 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.368 * [taylor]: Taking taylor expansion of x.im in x.re 4.368 * [taylor]: Taking taylor expansion of x.re in x.re 4.368 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 4.368 * [taylor]: Taking taylor expansion of -3 in x.re 4.368 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.368 * [taylor]: Taking taylor expansion of x.im in x.re 4.368 * [taylor]: Taking taylor expansion of x.re in x.re 4.368 * [taylor]: Taking taylor expansion of 0 in x.im 4.369 * [taylor]: Taking taylor expansion of (- (* 3 x.im)) in x.im 4.369 * [taylor]: Taking taylor expansion of (* 3 x.im) in x.im 4.369 * [taylor]: Taking taylor expansion of 3 in x.im 4.369 * [taylor]: Taking taylor expansion of x.im in x.im 4.370 * [taylor]: Taking taylor expansion of 0 in x.im 4.372 * [taylor]: Taking taylor expansion of 0 in x.im 4.375 * [taylor]: Taking taylor expansion of 0 in x.im 4.375 * [approximate]: Taking taylor expansion of (/ -3 (* x.im x.re)) in (x.re x.im) around 0 4.375 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 4.375 * [taylor]: Taking taylor expansion of -3 in x.im 4.375 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.375 * [taylor]: Taking taylor expansion of x.im in x.im 4.375 * [taylor]: Taking taylor expansion of x.re in x.im 4.375 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 4.375 * [taylor]: Taking taylor expansion of -3 in x.re 4.375 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.375 * [taylor]: Taking taylor expansion of x.im in x.re 4.375 * [taylor]: Taking taylor expansion of x.re in x.re 4.376 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 4.376 * [taylor]: Taking taylor expansion of -3 in x.re 4.376 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.376 * [taylor]: Taking taylor expansion of x.im in x.re 4.376 * [taylor]: Taking taylor expansion of x.re in x.re 4.376 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 4.376 * [taylor]: Taking taylor expansion of -3 in x.im 4.376 * [taylor]: Taking taylor expansion of x.im in x.im 4.377 * [taylor]: Taking taylor expansion of 0 in x.im 4.378 * [taylor]: Taking taylor expansion of 0 in x.im 4.379 * [taylor]: Taking taylor expansion of 0 in x.im 4.380 * [approximate]: Taking taylor expansion of (/ -3 (* x.im x.re)) in (x.re x.im) around 0 4.380 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 4.380 * [taylor]: Taking taylor expansion of -3 in x.im 4.380 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.380 * [taylor]: Taking taylor expansion of x.im in x.im 4.380 * [taylor]: Taking taylor expansion of x.re in x.im 4.380 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 4.380 * [taylor]: Taking taylor expansion of -3 in x.re 4.380 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.380 * [taylor]: Taking taylor expansion of x.im in x.re 4.380 * [taylor]: Taking taylor expansion of x.re in x.re 4.381 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 4.381 * [taylor]: Taking taylor expansion of -3 in x.re 4.381 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.381 * [taylor]: Taking taylor expansion of x.im in x.re 4.381 * [taylor]: Taking taylor expansion of x.re in x.re 4.381 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 4.381 * [taylor]: Taking taylor expansion of -3 in x.im 4.381 * [taylor]: Taking taylor expansion of x.im in x.im 4.382 * [taylor]: Taking taylor expansion of 0 in x.im 4.383 * [taylor]: Taking taylor expansion of 0 in x.im 4.384 * [taylor]: Taking taylor expansion of 0 in x.im 4.385 * * * * [progress]: [ 2 / 2 ] generating series at (2) 4.385 * [approximate]: Taking taylor expansion of (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)) in (x.im x.re) around 0 4.385 * [taylor]: Taking taylor expansion of (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)) in x.re 4.385 * [taylor]: Rewrote expression to (+ (* x.im (* -3 (* x.im x.re))) (pow x.re 3)) 4.385 * [taylor]: Taking taylor expansion of (* x.im (* -3 (* x.im x.re))) in x.re 4.385 * [taylor]: Taking taylor expansion of x.im in x.re 4.385 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 4.385 * [taylor]: Taking taylor expansion of -3 in x.re 4.385 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.385 * [taylor]: Taking taylor expansion of x.im in x.re 4.386 * [taylor]: Taking taylor expansion of x.re in x.re 4.386 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 4.386 * [taylor]: Taking taylor expansion of x.re in x.re 4.386 * [taylor]: Taking taylor expansion of (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)) in x.im 4.386 * [taylor]: Rewrote expression to (+ (* x.im (* -3 (* x.im x.re))) (pow x.re 3)) 4.386 * [taylor]: Taking taylor expansion of (* x.im (* -3 (* x.im x.re))) in x.im 4.386 * [taylor]: Taking taylor expansion of x.im in x.im 4.386 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.im 4.386 * [taylor]: Taking taylor expansion of -3 in x.im 4.386 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.386 * [taylor]: Taking taylor expansion of x.im in x.im 4.386 * [taylor]: Taking taylor expansion of x.re in x.im 4.386 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 4.386 * [taylor]: Taking taylor expansion of x.re in x.im 4.386 * [taylor]: Taking taylor expansion of (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)) in x.im 4.386 * [taylor]: Rewrote expression to (+ (* x.im (* -3 (* x.im x.re))) (pow x.re 3)) 4.386 * [taylor]: Taking taylor expansion of (* x.im (* -3 (* x.im x.re))) in x.im 4.386 * [taylor]: Taking taylor expansion of x.im in x.im 4.386 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.im 4.386 * [taylor]: Taking taylor expansion of -3 in x.im 4.386 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.386 * [taylor]: Taking taylor expansion of x.im in x.im 4.386 * [taylor]: Taking taylor expansion of x.re in x.im 4.386 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 4.386 * [taylor]: Taking taylor expansion of x.re in x.im 4.387 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 4.387 * [taylor]: Taking taylor expansion of x.re in x.re 4.388 * [taylor]: Taking taylor expansion of 0 in x.re 4.390 * [taylor]: Taking taylor expansion of (- (* 3 x.re)) in x.re 4.390 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 4.390 * [taylor]: Taking taylor expansion of 3 in x.re 4.391 * [taylor]: Taking taylor expansion of x.re in x.re 4.395 * [taylor]: Taking taylor expansion of 0 in x.re 4.400 * [taylor]: Taking taylor expansion of 0 in x.re 4.410 * [taylor]: Taking taylor expansion of 0 in x.re 4.411 * [approximate]: Taking taylor expansion of (fma (/ 1 x.im) (/ -3 (* x.im x.re)) (pow (/ 1 x.re) 3)) in (x.im x.re) around 0 4.411 * [taylor]: Taking taylor expansion of (fma (/ 1 x.im) (/ -3 (* x.im x.re)) (pow (/ 1 x.re) 3)) in x.re 4.411 * [taylor]: Rewrote expression to (+ (* (/ 1 x.im) (/ -3 (* x.im x.re))) (pow (/ 1 x.re) 3)) 4.411 * [taylor]: Taking taylor expansion of (* (/ 1 x.im) (/ -3 (* x.im x.re))) in x.re 4.411 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.re 4.411 * [taylor]: Taking taylor expansion of x.im in x.re 4.411 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 4.411 * [taylor]: Taking taylor expansion of -3 in x.re 4.411 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.411 * [taylor]: Taking taylor expansion of x.im in x.re 4.411 * [taylor]: Taking taylor expansion of x.re in x.re 4.411 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 4.411 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 4.411 * [taylor]: Taking taylor expansion of x.re in x.re 4.412 * [taylor]: Taking taylor expansion of (fma (/ 1 x.im) (/ -3 (* x.im x.re)) (pow (/ 1 x.re) 3)) in x.im 4.412 * [taylor]: Rewrote expression to (+ (* (/ 1 x.im) (/ -3 (* x.im x.re))) (pow (/ 1 x.re) 3)) 4.412 * [taylor]: Taking taylor expansion of (* (/ 1 x.im) (/ -3 (* x.im x.re))) in x.im 4.412 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 4.412 * [taylor]: Taking taylor expansion of x.im in x.im 4.412 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 4.412 * [taylor]: Taking taylor expansion of -3 in x.im 4.412 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.412 * [taylor]: Taking taylor expansion of x.im in x.im 4.412 * [taylor]: Taking taylor expansion of x.re in x.im 4.412 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 4.412 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 4.413 * [taylor]: Taking taylor expansion of x.re in x.im 4.413 * [taylor]: Taking taylor expansion of (fma (/ 1 x.im) (/ -3 (* x.im x.re)) (pow (/ 1 x.re) 3)) in x.im 4.413 * [taylor]: Rewrote expression to (+ (* (/ 1 x.im) (/ -3 (* x.im x.re))) (pow (/ 1 x.re) 3)) 4.413 * [taylor]: Taking taylor expansion of (* (/ 1 x.im) (/ -3 (* x.im x.re))) in x.im 4.413 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 4.413 * [taylor]: Taking taylor expansion of x.im in x.im 4.413 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 4.413 * [taylor]: Taking taylor expansion of -3 in x.im 4.413 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.413 * [taylor]: Taking taylor expansion of x.im in x.im 4.413 * [taylor]: Taking taylor expansion of x.re in x.im 4.413 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 4.413 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 4.413 * [taylor]: Taking taylor expansion of x.re in x.im 4.414 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 x.re))) in x.re 4.414 * [taylor]: Taking taylor expansion of (* 3 (/ 1 x.re)) in x.re 4.414 * [taylor]: Taking taylor expansion of 3 in x.re 4.414 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 4.414 * [taylor]: Taking taylor expansion of x.re in x.re 4.415 * [taylor]: Taking taylor expansion of 0 in x.re 4.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 4.418 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 4.418 * [taylor]: Taking taylor expansion of x.re in x.re 4.422 * [taylor]: Taking taylor expansion of 0 in x.re 4.428 * [taylor]: Taking taylor expansion of 0 in x.re 4.435 * [taylor]: Taking taylor expansion of 0 in x.re 4.438 * [approximate]: Taking taylor expansion of (fma (/ -1 x.im) (/ -3 (* x.im x.re)) (pow (/ -1 x.re) 3)) in (x.im x.re) around 0 4.438 * [taylor]: Taking taylor expansion of (fma (/ -1 x.im) (/ -3 (* x.im x.re)) (pow (/ -1 x.re) 3)) in x.re 4.438 * [taylor]: Rewrote expression to (+ (* (/ -1 x.im) (/ -3 (* x.im x.re))) (pow (/ -1 x.re) 3)) 4.438 * [taylor]: Taking taylor expansion of (* (/ -1 x.im) (/ -3 (* x.im x.re))) in x.re 4.438 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.re 4.438 * [taylor]: Taking taylor expansion of -1 in x.re 4.438 * [taylor]: Taking taylor expansion of x.im in x.re 4.438 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 4.438 * [taylor]: Taking taylor expansion of -3 in x.re 4.438 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.438 * [taylor]: Taking taylor expansion of x.im in x.re 4.438 * [taylor]: Taking taylor expansion of x.re in x.re 4.438 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 4.438 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 4.438 * [taylor]: Taking taylor expansion of -1 in x.re 4.438 * [taylor]: Taking taylor expansion of x.re in x.re 4.439 * [taylor]: Taking taylor expansion of (fma (/ -1 x.im) (/ -3 (* x.im x.re)) (pow (/ -1 x.re) 3)) in x.im 4.439 * [taylor]: Rewrote expression to (+ (* (/ -1 x.im) (/ -3 (* x.im x.re))) (pow (/ -1 x.re) 3)) 4.439 * [taylor]: Taking taylor expansion of (* (/ -1 x.im) (/ -3 (* x.im x.re))) in x.im 4.439 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.im 4.439 * [taylor]: Taking taylor expansion of -1 in x.im 4.439 * [taylor]: Taking taylor expansion of x.im in x.im 4.439 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 4.439 * [taylor]: Taking taylor expansion of -3 in x.im 4.439 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.439 * [taylor]: Taking taylor expansion of x.im in x.im 4.439 * [taylor]: Taking taylor expansion of x.re in x.im 4.440 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 4.440 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 4.440 * [taylor]: Taking taylor expansion of -1 in x.im 4.440 * [taylor]: Taking taylor expansion of x.re in x.im 4.440 * [taylor]: Taking taylor expansion of (fma (/ -1 x.im) (/ -3 (* x.im x.re)) (pow (/ -1 x.re) 3)) in x.im 4.440 * [taylor]: Rewrote expression to (+ (* (/ -1 x.im) (/ -3 (* x.im x.re))) (pow (/ -1 x.re) 3)) 4.440 * [taylor]: Taking taylor expansion of (* (/ -1 x.im) (/ -3 (* x.im x.re))) in x.im 4.440 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.im 4.440 * [taylor]: Taking taylor expansion of -1 in x.im 4.440 * [taylor]: Taking taylor expansion of x.im in x.im 4.440 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 4.440 * [taylor]: Taking taylor expansion of -3 in x.im 4.440 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.440 * [taylor]: Taking taylor expansion of x.im in x.im 4.440 * [taylor]: Taking taylor expansion of x.re in x.im 4.441 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 4.441 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 4.441 * [taylor]: Taking taylor expansion of -1 in x.im 4.441 * [taylor]: Taking taylor expansion of x.re in x.im 4.441 * [taylor]: Taking taylor expansion of (* 3 (/ 1 x.re)) in x.re 4.441 * [taylor]: Taking taylor expansion of 3 in x.re 4.441 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 4.441 * [taylor]: Taking taylor expansion of x.re in x.re 4.443 * [taylor]: Taking taylor expansion of 0 in x.re 4.445 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3))) in x.re 4.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 4.445 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 4.445 * [taylor]: Taking taylor expansion of x.re in x.re 4.449 * [taylor]: Taking taylor expansion of 0 in x.re 4.455 * [taylor]: Taking taylor expansion of 0 in x.re 4.463 * [taylor]: Taking taylor expansion of 0 in x.re 4.465 * * * [progress]: simplifying candidates 4.466 * [simplify]: Simplifying using # : (expm1 (* (* -3 x.re) x.im)) (log1p (* (* -3 x.re) x.im)) (* (* -3 x.re) x.im) (* (* -3 x.re) x.im) (+ (+ (log -3) (log x.re)) (log x.im)) (+ (log (* -3 x.re)) (log x.im)) (log (* (* -3 x.re) x.im)) (exp (* (* -3 x.re) x.im)) (* (* (* (* -3 -3) -3) (* (* x.re x.re) x.re)) (* (* x.im x.im) x.im)) (* (* (* (* -3 x.re) (* -3 x.re)) (* -3 x.re)) (* (* x.im x.im) x.im)) (* (cbrt (* (* -3 x.re) x.im)) (cbrt (* (* -3 x.re) x.im))) (cbrt (* (* -3 x.re) x.im)) (* (* (* (* -3 x.re) x.im) (* (* -3 x.re) x.im)) (* (* -3 x.re) x.im)) (sqrt (* (* -3 x.re) x.im)) (sqrt (* (* -3 x.re) x.im)) (* (* -3 x.re) (* (cbrt x.im) (cbrt x.im))) (* (* -3 x.re) (sqrt x.im)) (* (* -3 x.re) 1) (* x.re x.im) (expm1 (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (log1p (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (* x.im (* (* -3 x.re) x.im)) (log (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (exp (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (* (cbrt (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (cbrt (fma x.im (* (* -3 x.re) x.im) (pow x.re 3)))) (cbrt (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (* (* (fma x.im (* (* -3 x.re) x.im) (pow x.re 3)) (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (sqrt (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (sqrt (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (* -3 (* x.im x.re)) (* -3 (* x.im x.re)) (* -3 (* x.im x.re)) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) 4.468 * * [simplify]: iteration 0 : 60 enodes (cost 341 ) 4.479 * * [simplify]: iteration 1 : 137 enodes (cost 328 ) 4.515 * * [simplify]: iteration 2 : 587 enodes (cost 286 ) 4.733 * * [simplify]: iteration 3 : 2297 enodes (cost 283 ) 5.926 * * [simplify]: iteration done : 5001 enodes (cost 283 ) 5.926 * [simplify]: Simplified to: (expm1 (* (* -3 x.re) x.im)) (log1p (* (* -3 x.re) x.im)) (* (* -3 x.re) x.im) (* (* -3 x.re) x.im) (log (* (* -3 x.re) x.im)) (log (* (* -3 x.re) x.im)) (log (* (* -3 x.re) x.im)) (exp (* (* -3 x.re) x.im)) (pow (* -3 (* x.im x.re)) 3) (pow (* -3 (* x.im x.re)) 3) (* (cbrt (* (* -3 x.re) x.im)) (cbrt (* (* -3 x.re) x.im))) (cbrt (* (* -3 x.re) x.im)) (pow (* -3 (* x.im x.re)) 3) (sqrt (* (* -3 x.re) x.im)) (sqrt (* (* -3 x.re) x.im)) (* (* -3 x.re) (* (cbrt x.im) (cbrt x.im))) (* (* -3 x.re) (sqrt x.im)) (* -3 x.re) (* x.re x.im) (expm1 (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (log1p (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (* (* (pow x.im 2) x.re) -3) (log (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (exp (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (* (cbrt (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (cbrt (fma x.im (* (* -3 x.re) x.im) (pow x.re 3)))) (cbrt (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (pow (fma x.im (* (* -3 x.re) x.im) (pow x.re 3)) 3) (sqrt (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (sqrt (fma x.im (* (* -3 x.re) x.im) (pow x.re 3))) (* (* -3 x.re) x.im) (* (* -3 x.re) x.im) (* (* -3 x.re) x.im) (fma x.im (* (* -3 x.re) x.im) (pow x.re 3)) (fma x.im (* (* -3 x.re) x.im) (pow x.re 3)) (fma x.im (* (* -3 x.re) x.im) (pow x.re 3)) 5.927 * * * [progress]: adding candidates to table 5.997 * * [progress]: iteration 3 / 4 5.997 * * * [progress]: picking best candidate 6.005 * * * * [pick]: Picked # 6.005 * * * [progress]: localizing error 6.012 * * * [progress]: generating rewritten candidates 6.012 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 6.030 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 6.036 * * * [progress]: generating series expansions 6.037 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 6.037 * [approximate]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 6.037 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 6.037 * [taylor]: Taking taylor expansion of -3 in x.re 6.037 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 6.037 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 6.037 * [taylor]: Taking taylor expansion of x.im in x.re 6.037 * [taylor]: Taking taylor expansion of x.re in x.re 6.037 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.im 6.037 * [taylor]: Taking taylor expansion of -3 in x.im 6.037 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.037 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.037 * [taylor]: Taking taylor expansion of x.im in x.im 6.037 * [taylor]: Taking taylor expansion of x.re in x.im 6.037 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.im 6.037 * [taylor]: Taking taylor expansion of -3 in x.im 6.037 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.037 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.037 * [taylor]: Taking taylor expansion of x.im in x.im 6.037 * [taylor]: Taking taylor expansion of x.re in x.im 6.038 * [taylor]: Taking taylor expansion of (* -3 x.re) in x.re 6.038 * [taylor]: Taking taylor expansion of -3 in x.re 6.038 * [taylor]: Taking taylor expansion of x.re in x.re 6.039 * [taylor]: Taking taylor expansion of 0 in x.re 6.041 * [taylor]: Taking taylor expansion of 0 in x.re 6.044 * [taylor]: Taking taylor expansion of 0 in x.re 6.044 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 6.045 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 6.045 * [taylor]: Taking taylor expansion of -3 in x.re 6.045 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 6.045 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 6.045 * [taylor]: Taking taylor expansion of x.im in x.re 6.045 * [taylor]: Taking taylor expansion of x.re in x.re 6.045 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 6.045 * [taylor]: Taking taylor expansion of -3 in x.im 6.045 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.045 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.045 * [taylor]: Taking taylor expansion of x.im in x.im 6.045 * [taylor]: Taking taylor expansion of x.re in x.im 6.046 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 6.046 * [taylor]: Taking taylor expansion of -3 in x.im 6.046 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.046 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.046 * [taylor]: Taking taylor expansion of x.im in x.im 6.046 * [taylor]: Taking taylor expansion of x.re in x.im 6.046 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 6.046 * [taylor]: Taking taylor expansion of -3 in x.re 6.046 * [taylor]: Taking taylor expansion of x.re in x.re 6.047 * [taylor]: Taking taylor expansion of 0 in x.re 6.049 * [taylor]: Taking taylor expansion of 0 in x.re 6.051 * [taylor]: Taking taylor expansion of 0 in x.re 6.052 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 6.052 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 6.052 * [taylor]: Taking taylor expansion of 3 in x.re 6.052 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 6.052 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 6.052 * [taylor]: Taking taylor expansion of x.im in x.re 6.052 * [taylor]: Taking taylor expansion of x.re in x.re 6.053 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 6.053 * [taylor]: Taking taylor expansion of 3 in x.im 6.053 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.053 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.053 * [taylor]: Taking taylor expansion of x.im in x.im 6.053 * [taylor]: Taking taylor expansion of x.re in x.im 6.053 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 6.053 * [taylor]: Taking taylor expansion of 3 in x.im 6.053 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.053 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.053 * [taylor]: Taking taylor expansion of x.im in x.im 6.053 * [taylor]: Taking taylor expansion of x.re in x.im 6.054 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 6.054 * [taylor]: Taking taylor expansion of 3 in x.re 6.054 * [taylor]: Taking taylor expansion of x.re in x.re 6.055 * [taylor]: Taking taylor expansion of 0 in x.re 6.056 * [taylor]: Taking taylor expansion of 0 in x.re 6.061 * [taylor]: Taking taylor expansion of 0 in x.re 6.062 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 6.062 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.im x.re) around 0 6.062 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 6.062 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 6.062 * [taylor]: Taking taylor expansion of x.im in x.re 6.062 * [taylor]: Taking taylor expansion of x.re in x.re 6.062 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.062 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.062 * [taylor]: Taking taylor expansion of x.im in x.im 6.062 * [taylor]: Taking taylor expansion of x.re in x.im 6.062 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.062 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.062 * [taylor]: Taking taylor expansion of x.im in x.im 6.062 * [taylor]: Taking taylor expansion of x.re in x.im 6.063 * [taylor]: Taking taylor expansion of x.re in x.re 6.063 * [taylor]: Taking taylor expansion of 0 in x.re 6.064 * [taylor]: Taking taylor expansion of 0 in x.re 6.066 * [taylor]: Taking taylor expansion of 0 in x.re 6.066 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 6.066 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 6.066 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 6.066 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 6.066 * [taylor]: Taking taylor expansion of x.im in x.re 6.066 * [taylor]: Taking taylor expansion of x.re in x.re 6.067 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 6.067 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.067 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.067 * [taylor]: Taking taylor expansion of x.im in x.im 6.067 * [taylor]: Taking taylor expansion of x.re in x.im 6.067 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 6.067 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.067 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.067 * [taylor]: Taking taylor expansion of x.im in x.im 6.067 * [taylor]: Taking taylor expansion of x.re in x.im 6.067 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 6.067 * [taylor]: Taking taylor expansion of x.re in x.re 6.068 * [taylor]: Taking taylor expansion of 0 in x.re 6.070 * [taylor]: Taking taylor expansion of 0 in x.re 6.072 * [taylor]: Taking taylor expansion of 0 in x.re 6.073 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 6.073 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 6.073 * [taylor]: Taking taylor expansion of -1 in x.re 6.073 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 6.073 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 6.073 * [taylor]: Taking taylor expansion of x.im in x.re 6.073 * [taylor]: Taking taylor expansion of x.re in x.re 6.074 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 6.074 * [taylor]: Taking taylor expansion of -1 in x.im 6.074 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.074 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.074 * [taylor]: Taking taylor expansion of x.im in x.im 6.074 * [taylor]: Taking taylor expansion of x.re in x.im 6.074 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 6.074 * [taylor]: Taking taylor expansion of -1 in x.im 6.074 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 6.074 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 6.074 * [taylor]: Taking taylor expansion of x.im in x.im 6.074 * [taylor]: Taking taylor expansion of x.re in x.im 6.074 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 6.075 * [taylor]: Taking taylor expansion of -1 in x.re 6.075 * [taylor]: Taking taylor expansion of x.re in x.re 6.076 * [taylor]: Taking taylor expansion of 0 in x.re 6.077 * [taylor]: Taking taylor expansion of 0 in x.re 6.080 * [taylor]: Taking taylor expansion of 0 in x.re 6.080 * * * [progress]: simplifying candidates 6.081 * [simplify]: Simplifying using # : (expm1 (* (* x.im (* x.re x.im)) -3)) (log1p (* (* 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)) -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)) (log (* (* x.im (* x.re x.im)) -3)) (exp (* (* x.im (* x.re x.im)) -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))) (* (* -3 -3) -3)) (* (cbrt (* (* x.im (* x.re x.im)) -3)) (cbrt (* (* x.im (* x.re x.im)) -3))) (cbrt (* (* 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)) -3)) (sqrt (* (* x.im (* x.re x.im)) -3)) (sqrt (* (* x.im (* x.re x.im)) -3)) (* (* x.im (* x.re x.im)) (* (cbrt -3) (cbrt -3))) (* (* x.im (* x.re x.im)) (sqrt -3)) (* (* x.im (* x.re x.im)) 1) (* (* x.re x.im) -3) (expm1 (* x.im (* x.re x.im))) (log1p (* 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) 6.083 * * [simplify]: iteration 0 : 65 enodes (cost 434 ) 6.097 * * [simplify]: iteration 1 : 169 enodes (cost 409 ) 6.139 * * [simplify]: iteration 2 : 671 enodes (cost 337 )