2.678 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.028 * * [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 ) 0.042 * * [simplify]: iteration 3 : 152 enodes (cost 16 ) 0.073 * * [simplify]: iteration 4 : 397 enodes (cost 14 ) 0.172 * * [simplify]: iteration 5 : 935 enodes (cost 11 ) 0.432 * * [simplify]: iteration 6 : 2614 enodes (cost 10 ) 1.068 * * [simplify]: iteration done : 5000 enodes (cost 10 ) 1.068 * [simplify]: Simplified to: (fma x.im (* -3 (* x.re x.im)) (pow x.re 3)) 1.071 * * [progress]: iteration 1 / 4 1.071 * * * [progress]: picking best candidate 1.075 * * * * [pick]: Picked # 1.075 * * * [progress]: localizing error 1.082 * * * [progress]: generating rewritten candidates 1.082 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.088 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.089 * * * [progress]: generating series expansions 1.089 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.089 * [approximate]: Taking taylor expansion of (* -3 (* x.im x.re)) in (x.re x.im) around 0 1.089 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.im 1.089 * [taylor]: Taking taylor expansion of -3 in x.im 1.089 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.089 * [taylor]: Taking taylor expansion of x.im in x.im 1.089 * [taylor]: Taking taylor expansion of x.re in x.im 1.089 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 1.089 * [taylor]: Taking taylor expansion of -3 in x.re 1.089 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.089 * [taylor]: Taking taylor expansion of x.im in x.re 1.089 * [taylor]: Taking taylor expansion of x.re in x.re 1.089 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 1.089 * [taylor]: Taking taylor expansion of -3 in x.re 1.089 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.089 * [taylor]: Taking taylor expansion of x.im in x.re 1.089 * [taylor]: Taking taylor expansion of x.re in x.re 1.090 * [taylor]: Taking taylor expansion of 0 in x.im 1.090 * [taylor]: Taking taylor expansion of (- (* 3 x.im)) in x.im 1.091 * [taylor]: Taking taylor expansion of (* 3 x.im) in x.im 1.091 * [taylor]: Taking taylor expansion of 3 in x.im 1.091 * [taylor]: Taking taylor expansion of x.im in x.im 1.092 * [taylor]: Taking taylor expansion of 0 in x.im 1.098 * [taylor]: Taking taylor expansion of 0 in x.im 1.100 * [taylor]: Taking taylor expansion of 0 in x.im 1.101 * [approximate]: Taking taylor expansion of (/ -3 (* x.im x.re)) in (x.re x.im) around 0 1.101 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 1.101 * [taylor]: Taking taylor expansion of -3 in x.im 1.101 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.101 * [taylor]: Taking taylor expansion of x.im in x.im 1.101 * [taylor]: Taking taylor expansion of x.re in x.im 1.101 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 1.101 * [taylor]: Taking taylor expansion of -3 in x.re 1.101 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.101 * [taylor]: Taking taylor expansion of x.im in x.re 1.101 * [taylor]: Taking taylor expansion of x.re in x.re 1.101 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 1.101 * [taylor]: Taking taylor expansion of -3 in x.re 1.101 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.101 * [taylor]: Taking taylor expansion of x.im in x.re 1.101 * [taylor]: Taking taylor expansion of x.re in x.re 1.102 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 1.102 * [taylor]: Taking taylor expansion of -3 in x.im 1.102 * [taylor]: Taking taylor expansion of x.im in x.im 1.103 * [taylor]: Taking taylor expansion of 0 in x.im 1.104 * [taylor]: Taking taylor expansion of 0 in x.im 1.105 * [taylor]: Taking taylor expansion of 0 in x.im 1.106 * [approximate]: Taking taylor expansion of (/ -3 (* x.im x.re)) in (x.re x.im) around 0 1.106 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 1.106 * [taylor]: Taking taylor expansion of -3 in x.im 1.106 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.106 * [taylor]: Taking taylor expansion of x.im in x.im 1.106 * [taylor]: Taking taylor expansion of x.re in x.im 1.106 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 1.106 * [taylor]: Taking taylor expansion of -3 in x.re 1.106 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.106 * [taylor]: Taking taylor expansion of x.im in x.re 1.106 * [taylor]: Taking taylor expansion of x.re in x.re 1.107 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 1.107 * [taylor]: Taking taylor expansion of -3 in x.re 1.107 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.107 * [taylor]: Taking taylor expansion of x.im in x.re 1.107 * [taylor]: Taking taylor expansion of x.re in x.re 1.107 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 1.107 * [taylor]: Taking taylor expansion of -3 in x.im 1.107 * [taylor]: Taking taylor expansion of x.im in x.im 1.108 * [taylor]: Taking taylor expansion of 0 in x.im 1.109 * [taylor]: Taking taylor expansion of 0 in x.im 1.110 * [taylor]: Taking taylor expansion of 0 in x.im 1.111 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.111 * [approximate]: Taking taylor expansion of (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)) in (x.im x.re) around 0 1.111 * [taylor]: Taking taylor expansion of (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)) in x.re 1.111 * [taylor]: Rewrote expression to (+ (* x.im (* -3 (* x.im x.re))) (pow x.re 3)) 1.111 * [taylor]: Taking taylor expansion of (* x.im (* -3 (* x.im x.re))) in x.re 1.111 * [taylor]: Taking taylor expansion of x.im in x.re 1.111 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 1.111 * [taylor]: Taking taylor expansion of -3 in x.re 1.111 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.111 * [taylor]: Taking taylor expansion of x.im in x.re 1.111 * [taylor]: Taking taylor expansion of x.re in x.re 1.111 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 1.111 * [taylor]: Taking taylor expansion of x.re in x.re 1.111 * [taylor]: Taking taylor expansion of (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)) in x.im 1.111 * [taylor]: Rewrote expression to (+ (* x.im (* -3 (* x.im x.re))) (pow x.re 3)) 1.111 * [taylor]: Taking taylor expansion of (* x.im (* -3 (* x.im x.re))) in x.im 1.111 * [taylor]: Taking taylor expansion of x.im in x.im 1.112 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.im 1.112 * [taylor]: Taking taylor expansion of -3 in x.im 1.112 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.112 * [taylor]: Taking taylor expansion of x.im in x.im 1.112 * [taylor]: Taking taylor expansion of x.re in x.im 1.112 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 1.112 * [taylor]: Taking taylor expansion of x.re in x.im 1.112 * [taylor]: Taking taylor expansion of (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)) in x.im 1.112 * [taylor]: Rewrote expression to (+ (* x.im (* -3 (* x.im x.re))) (pow x.re 3)) 1.112 * [taylor]: Taking taylor expansion of (* x.im (* -3 (* x.im x.re))) in x.im 1.112 * [taylor]: Taking taylor expansion of x.im in x.im 1.112 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.im 1.112 * [taylor]: Taking taylor expansion of -3 in x.im 1.112 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.112 * [taylor]: Taking taylor expansion of x.im in x.im 1.112 * [taylor]: Taking taylor expansion of x.re in x.im 1.112 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 1.112 * [taylor]: Taking taylor expansion of x.re in x.im 1.113 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 1.113 * [taylor]: Taking taylor expansion of x.re in x.re 1.114 * [taylor]: Taking taylor expansion of 0 in x.re 1.116 * [taylor]: Taking taylor expansion of (- (* 3 x.re)) in x.re 1.116 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 1.116 * [taylor]: Taking taylor expansion of 3 in x.re 1.116 * [taylor]: Taking taylor expansion of x.re in x.re 1.120 * [taylor]: Taking taylor expansion of 0 in x.re 1.126 * [taylor]: Taking taylor expansion of 0 in x.re 1.134 * [taylor]: Taking taylor expansion of 0 in x.re 1.134 * [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 1.134 * [taylor]: Taking taylor expansion of (fma (/ 1 x.im) (/ -3 (* x.im x.re)) (pow (/ 1 x.re) 3)) in x.re 1.135 * [taylor]: Rewrote expression to (+ (* (/ 1 x.im) (/ -3 (* x.im x.re))) (pow (/ 1 x.re) 3)) 1.135 * [taylor]: Taking taylor expansion of (* (/ 1 x.im) (/ -3 (* x.im x.re))) in x.re 1.135 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.re 1.135 * [taylor]: Taking taylor expansion of x.im in x.re 1.135 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 1.135 * [taylor]: Taking taylor expansion of -3 in x.re 1.135 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.135 * [taylor]: Taking taylor expansion of x.im in x.re 1.135 * [taylor]: Taking taylor expansion of x.re in x.re 1.135 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 1.135 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 1.135 * [taylor]: Taking taylor expansion of x.re in x.re 1.135 * [taylor]: Taking taylor expansion of (fma (/ 1 x.im) (/ -3 (* x.im x.re)) (pow (/ 1 x.re) 3)) in x.im 1.135 * [taylor]: Rewrote expression to (+ (* (/ 1 x.im) (/ -3 (* x.im x.re))) (pow (/ 1 x.re) 3)) 1.135 * [taylor]: Taking taylor expansion of (* (/ 1 x.im) (/ -3 (* x.im x.re))) in x.im 1.135 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.135 * [taylor]: Taking taylor expansion of x.im in x.im 1.136 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 1.136 * [taylor]: Taking taylor expansion of -3 in x.im 1.136 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.136 * [taylor]: Taking taylor expansion of x.im in x.im 1.136 * [taylor]: Taking taylor expansion of x.re in x.im 1.136 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 1.136 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 1.136 * [taylor]: Taking taylor expansion of x.re in x.im 1.136 * [taylor]: Taking taylor expansion of (fma (/ 1 x.im) (/ -3 (* x.im x.re)) (pow (/ 1 x.re) 3)) in x.im 1.136 * [taylor]: Rewrote expression to (+ (* (/ 1 x.im) (/ -3 (* x.im x.re))) (pow (/ 1 x.re) 3)) 1.136 * [taylor]: Taking taylor expansion of (* (/ 1 x.im) (/ -3 (* x.im x.re))) in x.im 1.136 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.136 * [taylor]: Taking taylor expansion of x.im in x.im 1.137 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 1.137 * [taylor]: Taking taylor expansion of -3 in x.im 1.137 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.137 * [taylor]: Taking taylor expansion of x.im in x.im 1.137 * [taylor]: Taking taylor expansion of x.re in x.im 1.137 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 1.137 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 1.137 * [taylor]: Taking taylor expansion of x.re in x.im 1.137 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 x.re))) in x.re 1.137 * [taylor]: Taking taylor expansion of (* 3 (/ 1 x.re)) in x.re 1.137 * [taylor]: Taking taylor expansion of 3 in x.re 1.137 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 1.137 * [taylor]: Taking taylor expansion of x.re in x.re 1.139 * [taylor]: Taking taylor expansion of 0 in x.re 1.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 1.141 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 1.141 * [taylor]: Taking taylor expansion of x.re in x.re 1.145 * [taylor]: Taking taylor expansion of 0 in x.re 1.151 * [taylor]: Taking taylor expansion of 0 in x.re 1.159 * [taylor]: Taking taylor expansion of 0 in x.re 1.161 * [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 1.161 * [taylor]: Taking taylor expansion of (fma (/ -1 x.im) (/ -3 (* x.im x.re)) (pow (/ -1 x.re) 3)) in x.re 1.161 * [taylor]: Rewrote expression to (+ (* (/ -1 x.im) (/ -3 (* x.im x.re))) (pow (/ -1 x.re) 3)) 1.161 * [taylor]: Taking taylor expansion of (* (/ -1 x.im) (/ -3 (* x.im x.re))) in x.re 1.161 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.re 1.161 * [taylor]: Taking taylor expansion of -1 in x.re 1.161 * [taylor]: Taking taylor expansion of x.im in x.re 1.161 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 1.161 * [taylor]: Taking taylor expansion of -3 in x.re 1.161 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.161 * [taylor]: Taking taylor expansion of x.im in x.re 1.161 * [taylor]: Taking taylor expansion of x.re in x.re 1.162 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 1.162 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 1.162 * [taylor]: Taking taylor expansion of -1 in x.re 1.162 * [taylor]: Taking taylor expansion of x.re in x.re 1.162 * [taylor]: Taking taylor expansion of (fma (/ -1 x.im) (/ -3 (* x.im x.re)) (pow (/ -1 x.re) 3)) in x.im 1.162 * [taylor]: Rewrote expression to (+ (* (/ -1 x.im) (/ -3 (* x.im x.re))) (pow (/ -1 x.re) 3)) 1.162 * [taylor]: Taking taylor expansion of (* (/ -1 x.im) (/ -3 (* x.im x.re))) in x.im 1.162 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.im 1.162 * [taylor]: Taking taylor expansion of -1 in x.im 1.162 * [taylor]: Taking taylor expansion of x.im in x.im 1.163 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 1.163 * [taylor]: Taking taylor expansion of -3 in x.im 1.163 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.163 * [taylor]: Taking taylor expansion of x.im in x.im 1.163 * [taylor]: Taking taylor expansion of x.re in x.im 1.163 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 1.163 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 1.163 * [taylor]: Taking taylor expansion of -1 in x.im 1.163 * [taylor]: Taking taylor expansion of x.re in x.im 1.163 * [taylor]: Taking taylor expansion of (fma (/ -1 x.im) (/ -3 (* x.im x.re)) (pow (/ -1 x.re) 3)) in x.im 1.163 * [taylor]: Rewrote expression to (+ (* (/ -1 x.im) (/ -3 (* x.im x.re))) (pow (/ -1 x.re) 3)) 1.163 * [taylor]: Taking taylor expansion of (* (/ -1 x.im) (/ -3 (* x.im x.re))) in x.im 1.163 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.im 1.163 * [taylor]: Taking taylor expansion of -1 in x.im 1.163 * [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 (/ -1 x.re) 3) in x.im 1.164 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 1.164 * [taylor]: Taking taylor expansion of -1 in x.im 1.164 * [taylor]: Taking taylor expansion of x.re in x.im 1.164 * [taylor]: Taking taylor expansion of (* 3 (/ 1 x.re)) in x.re 1.164 * [taylor]: Taking taylor expansion of 3 in x.re 1.164 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 1.164 * [taylor]: Taking taylor expansion of x.re in x.re 1.166 * [taylor]: Taking taylor expansion of 0 in x.re 1.168 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3))) in x.re 1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 1.168 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 1.168 * [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 1.189 * [taylor]: Taking taylor expansion of 0 in x.re 1.192 * * * [progress]: simplifying candidates 1.192 * [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))) 1.194 * * [simplify]: iteration 0 : 57 enodes (cost 338 ) 1.204 * * [simplify]: iteration 1 : 136 enodes (cost 327 ) 1.233 * * [simplify]: iteration 2 : 457 enodes (cost 285 ) 1.351 * * [simplify]: iteration 3 : 1475 enodes (cost 282 ) 1.918 * * [simplify]: iteration 4 : 4940 enodes (cost 282 ) 4.008 * * [simplify]: iteration done : 5000 enodes (cost 282 ) 4.008 * [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)) 4.008 * * * [progress]: adding candidates to table 4.080 * * [progress]: iteration 2 / 4 4.080 * * * [progress]: picking best candidate 4.089 * * * * [pick]: Picked # 4.089 * * * [progress]: localizing error 4.096 * * * [progress]: generating rewritten candidates 4.096 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 4.102 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 4.103 * * * [progress]: generating series expansions 4.103 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 4.103 * [approximate]: Taking taylor expansion of (* -3 (* x.im x.re)) in (x.re x.im) around 0 4.103 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.im 4.103 * [taylor]: Taking taylor expansion of -3 in x.im 4.103 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.103 * [taylor]: Taking taylor expansion of x.im in x.im 4.103 * [taylor]: Taking taylor expansion of x.re in x.im 4.103 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 4.103 * [taylor]: Taking taylor expansion of -3 in x.re 4.103 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.103 * [taylor]: Taking taylor expansion of x.im in x.re 4.103 * [taylor]: Taking taylor expansion of x.re in x.re 4.103 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 4.103 * [taylor]: Taking taylor expansion of -3 in x.re 4.104 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.104 * [taylor]: Taking taylor expansion of x.im in x.re 4.104 * [taylor]: Taking taylor expansion of x.re in x.re 4.104 * [taylor]: Taking taylor expansion of 0 in x.im 4.105 * [taylor]: Taking taylor expansion of (- (* 3 x.im)) in x.im 4.105 * [taylor]: Taking taylor expansion of (* 3 x.im) in x.im 4.105 * [taylor]: Taking taylor expansion of 3 in x.im 4.105 * [taylor]: Taking taylor expansion of x.im in x.im 4.106 * [taylor]: Taking taylor expansion of 0 in x.im 4.108 * [taylor]: Taking taylor expansion of 0 in x.im 4.111 * [taylor]: Taking taylor expansion of 0 in x.im 4.111 * [approximate]: Taking taylor expansion of (/ -3 (* x.im x.re)) in (x.re x.im) around 0 4.111 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 4.111 * [taylor]: Taking taylor expansion of -3 in x.im 4.111 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.111 * [taylor]: Taking taylor expansion of x.im in x.im 4.111 * [taylor]: Taking taylor expansion of x.re in x.im 4.111 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 4.111 * [taylor]: Taking taylor expansion of -3 in x.re 4.111 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.111 * [taylor]: Taking taylor expansion of x.im in x.re 4.111 * [taylor]: Taking taylor expansion of x.re in x.re 4.112 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 4.112 * [taylor]: Taking taylor expansion of -3 in x.re 4.112 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.112 * [taylor]: Taking taylor expansion of x.im in x.re 4.112 * [taylor]: Taking taylor expansion of x.re in x.re 4.112 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 4.112 * [taylor]: Taking taylor expansion of -3 in x.im 4.112 * [taylor]: Taking taylor expansion of x.im in x.im 4.113 * [taylor]: Taking taylor expansion of 0 in x.im 4.114 * [taylor]: Taking taylor expansion of 0 in x.im 4.115 * [taylor]: Taking taylor expansion of 0 in x.im 4.116 * [approximate]: Taking taylor expansion of (/ -3 (* x.im x.re)) in (x.re x.im) around 0 4.116 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 4.116 * [taylor]: Taking taylor expansion of -3 in x.im 4.116 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.116 * [taylor]: Taking taylor expansion of x.im in x.im 4.116 * [taylor]: Taking taylor expansion of x.re in x.im 4.116 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 4.116 * [taylor]: Taking taylor expansion of -3 in x.re 4.116 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.117 * [taylor]: Taking taylor expansion of x.im in x.re 4.117 * [taylor]: Taking taylor expansion of x.re in x.re 4.117 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 4.117 * [taylor]: Taking taylor expansion of -3 in x.re 4.117 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.117 * [taylor]: Taking taylor expansion of x.im in x.re 4.117 * [taylor]: Taking taylor expansion of x.re in x.re 4.117 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 4.117 * [taylor]: Taking taylor expansion of -3 in x.im 4.117 * [taylor]: Taking taylor expansion of x.im in x.im 4.118 * [taylor]: Taking taylor expansion of 0 in x.im 4.119 * [taylor]: Taking taylor expansion of 0 in x.im 4.120 * [taylor]: Taking taylor expansion of 0 in x.im 4.121 * * * * [progress]: [ 2 / 2 ] generating series at (2) 4.121 * [approximate]: Taking taylor expansion of (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)) in (x.im x.re) around 0 4.121 * [taylor]: Taking taylor expansion of (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)) in x.re 4.121 * [taylor]: Rewrote expression to (+ (* x.im (* -3 (* x.im x.re))) (pow x.re 3)) 4.121 * [taylor]: Taking taylor expansion of (* x.im (* -3 (* x.im x.re))) in x.re 4.121 * [taylor]: Taking taylor expansion of x.im in x.re 4.121 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 4.121 * [taylor]: Taking taylor expansion of -3 in x.re 4.121 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.121 * [taylor]: Taking taylor expansion of x.im in x.re 4.121 * [taylor]: Taking taylor expansion of x.re in x.re 4.122 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 4.122 * [taylor]: Taking taylor expansion of x.re in x.re 4.122 * [taylor]: Taking taylor expansion of (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)) in x.im 4.122 * [taylor]: Rewrote expression to (+ (* x.im (* -3 (* x.im x.re))) (pow x.re 3)) 4.122 * [taylor]: Taking taylor expansion of (* x.im (* -3 (* x.im x.re))) in x.im 4.122 * [taylor]: Taking taylor expansion of x.im in x.im 4.122 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.im 4.122 * [taylor]: Taking taylor expansion of -3 in x.im 4.122 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.122 * [taylor]: Taking taylor expansion of x.im in x.im 4.122 * [taylor]: Taking taylor expansion of x.re in x.im 4.122 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 4.122 * [taylor]: Taking taylor expansion of x.re in x.im 4.122 * [taylor]: Taking taylor expansion of (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)) in x.im 4.122 * [taylor]: Rewrote expression to (+ (* x.im (* -3 (* x.im x.re))) (pow x.re 3)) 4.122 * [taylor]: Taking taylor expansion of (* x.im (* -3 (* x.im x.re))) in x.im 4.122 * [taylor]: Taking taylor expansion of x.im in x.im 4.122 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.im 4.122 * [taylor]: Taking taylor expansion of -3 in x.im 4.122 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.122 * [taylor]: Taking taylor expansion of x.im in x.im 4.122 * [taylor]: Taking taylor expansion of x.re in x.im 4.122 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 4.122 * [taylor]: Taking taylor expansion of x.re in x.im 4.123 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 4.123 * [taylor]: Taking taylor expansion of x.re in x.re 4.124 * [taylor]: Taking taylor expansion of 0 in x.re 4.126 * [taylor]: Taking taylor expansion of (- (* 3 x.re)) in x.re 4.126 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 4.126 * [taylor]: Taking taylor expansion of 3 in x.re 4.127 * [taylor]: Taking taylor expansion of x.re in x.re 4.130 * [taylor]: Taking taylor expansion of 0 in x.re 4.136 * [taylor]: Taking taylor expansion of 0 in x.re 4.146 * [taylor]: Taking taylor expansion of 0 in x.re 4.147 * [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 4.147 * [taylor]: Taking taylor expansion of (fma (/ 1 x.im) (/ -3 (* x.im x.re)) (pow (/ 1 x.re) 3)) in x.re 4.147 * [taylor]: Rewrote expression to (+ (* (/ 1 x.im) (/ -3 (* x.im x.re))) (pow (/ 1 x.re) 3)) 4.147 * [taylor]: Taking taylor expansion of (* (/ 1 x.im) (/ -3 (* x.im x.re))) in x.re 4.147 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.re 4.147 * [taylor]: Taking taylor expansion of x.im in x.re 4.147 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 4.147 * [taylor]: Taking taylor expansion of -3 in x.re 4.147 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.147 * [taylor]: Taking taylor expansion of x.im in x.re 4.147 * [taylor]: Taking taylor expansion of x.re in x.re 4.147 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 4.147 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 4.147 * [taylor]: Taking taylor expansion of x.re in x.re 4.148 * [taylor]: Taking taylor expansion of (fma (/ 1 x.im) (/ -3 (* x.im x.re)) (pow (/ 1 x.re) 3)) in x.im 4.148 * [taylor]: Rewrote expression to (+ (* (/ 1 x.im) (/ -3 (* x.im x.re))) (pow (/ 1 x.re) 3)) 4.148 * [taylor]: Taking taylor expansion of (* (/ 1 x.im) (/ -3 (* x.im x.re))) in x.im 4.148 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 4.148 * [taylor]: Taking taylor expansion of x.im in x.im 4.148 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 4.148 * [taylor]: Taking taylor expansion of -3 in x.im 4.148 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.148 * [taylor]: Taking taylor expansion of x.im in x.im 4.148 * [taylor]: Taking taylor expansion of x.re in x.im 4.148 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 4.148 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 4.148 * [taylor]: Taking taylor expansion of x.re in x.im 4.148 * [taylor]: Taking taylor expansion of (fma (/ 1 x.im) (/ -3 (* x.im x.re)) (pow (/ 1 x.re) 3)) in x.im 4.148 * [taylor]: Rewrote expression to (+ (* (/ 1 x.im) (/ -3 (* x.im x.re))) (pow (/ 1 x.re) 3)) 4.149 * [taylor]: Taking taylor expansion of (* (/ 1 x.im) (/ -3 (* x.im x.re))) in x.im 4.149 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 4.149 * [taylor]: Taking taylor expansion of x.im in x.im 4.149 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 4.149 * [taylor]: Taking taylor expansion of -3 in x.im 4.149 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.149 * [taylor]: Taking taylor expansion of x.im in x.im 4.149 * [taylor]: Taking taylor expansion of x.re in x.im 4.149 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 4.149 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 4.149 * [taylor]: Taking taylor expansion of x.re in x.im 4.149 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 x.re))) in x.re 4.149 * [taylor]: Taking taylor expansion of (* 3 (/ 1 x.re)) in x.re 4.149 * [taylor]: Taking taylor expansion of 3 in x.re 4.149 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 4.149 * [taylor]: Taking taylor expansion of x.re in x.re 4.151 * [taylor]: Taking taylor expansion of 0 in x.re 4.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 4.153 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 4.153 * [taylor]: Taking taylor expansion of x.re in x.re 4.157 * [taylor]: Taking taylor expansion of 0 in x.re 4.164 * [taylor]: Taking taylor expansion of 0 in x.re 4.171 * [taylor]: Taking taylor expansion of 0 in x.re 4.173 * [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 4.173 * [taylor]: Taking taylor expansion of (fma (/ -1 x.im) (/ -3 (* x.im x.re)) (pow (/ -1 x.re) 3)) in x.re 4.173 * [taylor]: Rewrote expression to (+ (* (/ -1 x.im) (/ -3 (* x.im x.re))) (pow (/ -1 x.re) 3)) 4.173 * [taylor]: Taking taylor expansion of (* (/ -1 x.im) (/ -3 (* x.im x.re))) in x.re 4.173 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.re 4.173 * [taylor]: Taking taylor expansion of -1 in x.re 4.174 * [taylor]: Taking taylor expansion of x.im in x.re 4.174 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 4.174 * [taylor]: Taking taylor expansion of -3 in x.re 4.174 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 4.174 * [taylor]: Taking taylor expansion of x.im in x.re 4.174 * [taylor]: Taking taylor expansion of x.re in x.re 4.174 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 4.174 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 4.174 * [taylor]: Taking taylor expansion of -1 in x.re 4.174 * [taylor]: Taking taylor expansion of x.re in x.re 4.174 * [taylor]: Taking taylor expansion of (fma (/ -1 x.im) (/ -3 (* x.im x.re)) (pow (/ -1 x.re) 3)) in x.im 4.174 * [taylor]: Rewrote expression to (+ (* (/ -1 x.im) (/ -3 (* x.im x.re))) (pow (/ -1 x.re) 3)) 4.174 * [taylor]: Taking taylor expansion of (* (/ -1 x.im) (/ -3 (* x.im x.re))) in x.im 4.174 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.im 4.174 * [taylor]: Taking taylor expansion of -1 in x.im 4.175 * [taylor]: Taking taylor expansion of x.im in x.im 4.175 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 4.175 * [taylor]: Taking taylor expansion of -3 in x.im 4.175 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.175 * [taylor]: Taking taylor expansion of x.im in x.im 4.175 * [taylor]: Taking taylor expansion of x.re in x.im 4.175 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 4.175 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 4.175 * [taylor]: Taking taylor expansion of -1 in x.im 4.175 * [taylor]: Taking taylor expansion of x.re in x.im 4.175 * [taylor]: Taking taylor expansion of (fma (/ -1 x.im) (/ -3 (* x.im x.re)) (pow (/ -1 x.re) 3)) in x.im 4.175 * [taylor]: Rewrote expression to (+ (* (/ -1 x.im) (/ -3 (* x.im x.re))) (pow (/ -1 x.re) 3)) 4.176 * [taylor]: Taking taylor expansion of (* (/ -1 x.im) (/ -3 (* x.im x.re))) in x.im 4.176 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.im 4.176 * [taylor]: Taking taylor expansion of -1 in x.im 4.176 * [taylor]: Taking taylor expansion of x.im in x.im 4.176 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 4.176 * [taylor]: Taking taylor expansion of -3 in x.im 4.176 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 4.176 * [taylor]: Taking taylor expansion of x.im in x.im 4.176 * [taylor]: Taking taylor expansion of x.re in x.im 4.176 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 4.176 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 4.176 * [taylor]: Taking taylor expansion of -1 in x.im 4.176 * [taylor]: Taking taylor expansion of x.re in x.im 4.177 * [taylor]: Taking taylor expansion of (* 3 (/ 1 x.re)) in x.re 4.177 * [taylor]: Taking taylor expansion of 3 in x.re 4.177 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 4.177 * [taylor]: Taking taylor expansion of x.re in x.re 4.178 * [taylor]: Taking taylor expansion of 0 in x.re 4.181 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3))) in x.re 4.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 4.181 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 4.181 * [taylor]: Taking taylor expansion of x.re in x.re 4.185 * [taylor]: Taking taylor expansion of 0 in x.re 4.191 * [taylor]: Taking taylor expansion of 0 in x.re 4.198 * [taylor]: Taking taylor expansion of 0 in x.re 4.201 * * * [progress]: simplifying candidates 4.201 * [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))) 4.203 * * [simplify]: iteration 0 : 60 enodes (cost 341 ) 4.213 * * [simplify]: iteration 1 : 137 enodes (cost 328 ) 4.248 * * [simplify]: iteration 2 : 587 enodes (cost 286 ) 4.463 * * [simplify]: iteration 3 : 2297 enodes (cost 283 ) 5.562 * * [simplify]: iteration done : 5001 enodes (cost 283 ) 5.562 * [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)) 5.562 * * * [progress]: adding candidates to table 5.637 * * [progress]: iteration 3 / 4 5.637 * * * [progress]: picking best candidate 5.646 * * * * [pick]: Picked # 5.646 * * * [progress]: localizing error 5.653 * * * [progress]: generating rewritten candidates 5.653 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 5.671 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 5.678 * * * [progress]: generating series expansions 5.678 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 5.679 * [approximate]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 5.679 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 5.679 * [taylor]: Taking taylor expansion of -3 in x.re 5.679 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 5.679 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 5.679 * [taylor]: Taking taylor expansion of x.im in x.re 5.679 * [taylor]: Taking taylor expansion of x.re in x.re 5.679 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.im 5.679 * [taylor]: Taking taylor expansion of -3 in x.im 5.679 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 5.679 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 5.679 * [taylor]: Taking taylor expansion of x.im in x.im 5.679 * [taylor]: Taking taylor expansion of x.re in x.im 5.679 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.im 5.679 * [taylor]: Taking taylor expansion of -3 in x.im 5.679 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 5.679 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 5.679 * [taylor]: Taking taylor expansion of x.im in x.im 5.679 * [taylor]: Taking taylor expansion of x.re in x.im 5.680 * [taylor]: Taking taylor expansion of (* -3 x.re) in x.re 5.680 * [taylor]: Taking taylor expansion of -3 in x.re 5.680 * [taylor]: Taking taylor expansion of x.re in x.re 5.681 * [taylor]: Taking taylor expansion of 0 in x.re 5.683 * [taylor]: Taking taylor expansion of 0 in x.re 5.686 * [taylor]: Taking taylor expansion of 0 in x.re 5.686 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 5.686 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 5.686 * [taylor]: Taking taylor expansion of -3 in x.re 5.686 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 5.686 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 5.686 * [taylor]: Taking taylor expansion of x.im in x.re 5.686 * [taylor]: Taking taylor expansion of x.re in x.re 5.687 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 5.687 * [taylor]: Taking taylor expansion of -3 in x.im 5.687 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 5.687 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 5.687 * [taylor]: Taking taylor expansion of x.im in x.im 5.687 * [taylor]: Taking taylor expansion of x.re in x.im 5.687 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 5.687 * [taylor]: Taking taylor expansion of -3 in x.im 5.687 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 5.687 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 5.687 * [taylor]: Taking taylor expansion of x.im in x.im 5.687 * [taylor]: Taking taylor expansion of x.re in x.im 5.688 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 5.688 * [taylor]: Taking taylor expansion of -3 in x.re 5.688 * [taylor]: Taking taylor expansion of x.re in x.re 5.689 * [taylor]: Taking taylor expansion of 0 in x.re 5.691 * [taylor]: Taking taylor expansion of 0 in x.re 5.693 * [taylor]: Taking taylor expansion of 0 in x.re 5.693 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 5.694 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 5.694 * [taylor]: Taking taylor expansion of 3 in x.re 5.694 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 5.694 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 5.694 * [taylor]: Taking taylor expansion of x.im in x.re 5.694 * [taylor]: Taking taylor expansion of x.re in x.re 5.694 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 5.694 * [taylor]: Taking taylor expansion of 3 in x.im 5.694 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 5.694 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 5.694 * [taylor]: Taking taylor expansion of x.im in x.im 5.694 * [taylor]: Taking taylor expansion of x.re in x.im 5.695 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 5.695 * [taylor]: Taking taylor expansion of 3 in x.im 5.695 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 5.695 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 5.695 * [taylor]: Taking taylor expansion of x.im in x.im 5.695 * [taylor]: Taking taylor expansion of x.re in x.im 5.695 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 5.695 * [taylor]: Taking taylor expansion of 3 in x.re 5.695 * [taylor]: Taking taylor expansion of x.re in x.re 5.696 * [taylor]: Taking taylor expansion of 0 in x.re 5.698 * [taylor]: Taking taylor expansion of 0 in x.re 5.703 * [taylor]: Taking taylor expansion of 0 in x.re 5.704 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 5.704 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.im x.re) around 0 5.704 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 5.704 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 5.704 * [taylor]: Taking taylor expansion of x.im in x.re 5.704 * [taylor]: Taking taylor expansion of x.re in x.re 5.704 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 5.704 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 5.704 * [taylor]: Taking taylor expansion of x.im in x.im 5.704 * [taylor]: Taking taylor expansion of x.re in x.im 5.704 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 5.704 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 5.704 * [taylor]: Taking taylor expansion of x.im in x.im 5.704 * [taylor]: Taking taylor expansion of x.re in x.im 5.705 * [taylor]: Taking taylor expansion of x.re in x.re 5.705 * [taylor]: Taking taylor expansion of 0 in x.re 5.707 * [taylor]: Taking taylor expansion of 0 in x.re 5.708 * [taylor]: Taking taylor expansion of 0 in x.re 5.709 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 5.709 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 5.709 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 5.709 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 5.709 * [taylor]: Taking taylor expansion of x.im in x.re 5.709 * [taylor]: Taking taylor expansion of x.re in x.re 5.710 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 5.710 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 5.710 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 5.710 * [taylor]: Taking taylor expansion of x.im in x.im 5.710 * [taylor]: Taking taylor expansion of x.re in x.im 5.710 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 5.710 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 5.710 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 5.710 * [taylor]: Taking taylor expansion of x.im in x.im 5.710 * [taylor]: Taking taylor expansion of x.re in x.im 5.710 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 5.711 * [taylor]: Taking taylor expansion of x.re in x.re 5.711 * [taylor]: Taking taylor expansion of 0 in x.re 5.713 * [taylor]: Taking taylor expansion of 0 in x.re 5.715 * [taylor]: Taking taylor expansion of 0 in x.re 5.716 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 5.716 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 5.716 * [taylor]: Taking taylor expansion of -1 in x.re 5.716 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 5.716 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 5.716 * [taylor]: Taking taylor expansion of x.im in x.re 5.716 * [taylor]: Taking taylor expansion of x.re in x.re 5.716 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 5.717 * [taylor]: Taking taylor expansion of -1 in x.im 5.717 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 5.717 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 5.717 * [taylor]: Taking taylor expansion of x.im in x.im 5.717 * [taylor]: Taking taylor expansion of x.re in x.im 5.717 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 5.717 * [taylor]: Taking taylor expansion of -1 in x.im 5.717 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 5.717 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 5.717 * [taylor]: Taking taylor expansion of x.im in x.im 5.717 * [taylor]: Taking taylor expansion of x.re in x.im 5.717 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 5.717 * [taylor]: Taking taylor expansion of -1 in x.re 5.717 * [taylor]: Taking taylor expansion of x.re in x.re 5.718 * [taylor]: Taking taylor expansion of 0 in x.re 5.720 * [taylor]: Taking taylor expansion of 0 in x.re 5.722 * [taylor]: Taking taylor expansion of 0 in x.re 5.723 * * * [progress]: simplifying candidates 5.723 * [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) 5.725 * * [simplify]: iteration 0 : 65 enodes (cost 434 ) 5.737 * * [simplify]: iteration 1 : 169 enodes (cost 409 ) 5.778 * * [simplify]: iteration 2 : 671 enodes (cost 337 )