30.925 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) 0.036 * * [simplify]: iteration 0 : 23 enodes (cost 8 ) 0.038 * * [simplify]: iteration 1 : 56 enodes (cost 7 ) 0.039 * * [simplify]: iteration 2 : 129 enodes (cost 7 ) 0.042 * * [simplify]: iteration 3 : 353 enodes (cost 5 ) 0.048 * * [simplify]: iteration 4 : 948 enodes (cost 5 ) 0.062 * * [simplify]: iteration 5 : 2260 enodes (cost 5 ) 0.096 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.096 * [simplify]: Simplified to: (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) 0.099 * * [progress]: iteration 1 / 4 0.099 * * * [progress]: picking best candidate 0.103 * * * * [pick]: Picked # 0.103 * * * [progress]: localizing error 0.110 * * * [progress]: generating rewritten candidates 0.110 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.115 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.123 * * * [progress]: generating series expansions 0.123 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.123 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.im x.re) around 0 0.123 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.123 * [taylor]: Taking taylor expansion of x.im in x.re 0.123 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.123 * [taylor]: Taking taylor expansion of x.re in x.re 0.123 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.123 * [taylor]: Taking taylor expansion of x.im in x.im 0.123 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.123 * [taylor]: Taking taylor expansion of x.re in x.im 0.124 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.124 * [taylor]: Taking taylor expansion of x.im in x.im 0.124 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.124 * [taylor]: Taking taylor expansion of x.re in x.im 0.124 * [taylor]: Taking taylor expansion of 0 in x.re 0.124 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.124 * [taylor]: Taking taylor expansion of x.re in x.re 0.125 * [taylor]: Taking taylor expansion of 0 in x.re 0.127 * [taylor]: Taking taylor expansion of 0 in x.re 0.127 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.127 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.127 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.127 * [taylor]: Taking taylor expansion of x.im in x.re 0.127 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.127 * [taylor]: Taking taylor expansion of x.re in x.re 0.128 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.128 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.128 * [taylor]: Taking taylor expansion of x.im in x.im 0.128 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.128 * [taylor]: Taking taylor expansion of x.re in x.im 0.128 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.128 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.128 * [taylor]: Taking taylor expansion of x.im in x.im 0.128 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.128 * [taylor]: Taking taylor expansion of x.re in x.im 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.129 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.129 * [taylor]: Taking taylor expansion of x.re in x.re 0.130 * [taylor]: Taking taylor expansion of 0 in x.re 0.137 * [taylor]: Taking taylor expansion of 0 in x.re 0.140 * [taylor]: Taking taylor expansion of 0 in x.re 0.144 * [taylor]: Taking taylor expansion of 0 in x.re 0.144 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.144 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 0.144 * [taylor]: Taking taylor expansion of -1 in x.re 0.144 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.144 * [taylor]: Taking taylor expansion of x.im in x.re 0.144 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.144 * [taylor]: Taking taylor expansion of x.re in x.re 0.145 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.145 * [taylor]: Taking taylor expansion of -1 in x.im 0.145 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.145 * [taylor]: Taking taylor expansion of x.im in x.im 0.145 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.145 * [taylor]: Taking taylor expansion of x.re in x.im 0.145 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.145 * [taylor]: Taking taylor expansion of -1 in x.im 0.145 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.145 * [taylor]: Taking taylor expansion of x.im in x.im 0.145 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.145 * [taylor]: Taking taylor expansion of x.re in x.im 0.146 * [taylor]: Taking taylor expansion of (/ -1 (pow x.re 2)) in x.re 0.146 * [taylor]: Taking taylor expansion of -1 in x.re 0.146 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.146 * [taylor]: Taking taylor expansion of x.re in x.re 0.148 * [taylor]: Taking taylor expansion of 0 in x.re 0.150 * [taylor]: Taking taylor expansion of 0 in x.re 0.153 * [taylor]: Taking taylor expansion of 0 in x.re 0.157 * [taylor]: Taking taylor expansion of 0 in x.re 0.157 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.157 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.157 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.157 * [taylor]: Taking taylor expansion of 3 in x.re 0.157 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.157 * [taylor]: Taking taylor expansion of x.im in x.re 0.157 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.157 * [taylor]: Taking taylor expansion of x.re in x.re 0.157 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.157 * [taylor]: Taking taylor expansion of 3 in x.im 0.157 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.157 * [taylor]: Taking taylor expansion of x.im in x.im 0.157 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.157 * [taylor]: Taking taylor expansion of x.re in x.im 0.157 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.157 * [taylor]: Taking taylor expansion of 3 in x.im 0.157 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.157 * [taylor]: Taking taylor expansion of x.im in x.im 0.157 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.157 * [taylor]: Taking taylor expansion of x.re in x.im 0.158 * [taylor]: Taking taylor expansion of 0 in x.re 0.158 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.158 * [taylor]: Taking taylor expansion of 3 in x.re 0.158 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.158 * [taylor]: Taking taylor expansion of x.re in x.re 0.160 * [taylor]: Taking taylor expansion of 0 in x.re 0.163 * [taylor]: Taking taylor expansion of 0 in x.re 0.163 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.163 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.163 * [taylor]: Taking taylor expansion of 3 in x.re 0.163 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.163 * [taylor]: Taking taylor expansion of x.im in x.re 0.163 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.163 * [taylor]: Taking taylor expansion of x.re in x.re 0.164 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.164 * [taylor]: Taking taylor expansion of 3 in x.im 0.164 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.164 * [taylor]: Taking taylor expansion of x.im in x.im 0.164 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.164 * [taylor]: Taking taylor expansion of x.re in x.im 0.164 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.164 * [taylor]: Taking taylor expansion of 3 in x.im 0.164 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.164 * [taylor]: Taking taylor expansion of x.im in x.im 0.164 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.164 * [taylor]: Taking taylor expansion of x.re in x.im 0.165 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.165 * [taylor]: Taking taylor expansion of 3 in x.re 0.165 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.165 * [taylor]: Taking taylor expansion of x.re in x.re 0.167 * [taylor]: Taking taylor expansion of 0 in x.re 0.169 * [taylor]: Taking taylor expansion of 0 in x.re 0.172 * [taylor]: Taking taylor expansion of 0 in x.re 0.175 * [taylor]: Taking taylor expansion of 0 in x.re 0.176 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.176 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.176 * [taylor]: Taking taylor expansion of -3 in x.re 0.176 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.176 * [taylor]: Taking taylor expansion of x.im in x.re 0.176 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.176 * [taylor]: Taking taylor expansion of x.re in x.re 0.176 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.176 * [taylor]: Taking taylor expansion of -3 in x.im 0.176 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.176 * [taylor]: Taking taylor expansion of x.im in x.im 0.176 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.176 * [taylor]: Taking taylor expansion of x.re in x.im 0.177 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.177 * [taylor]: Taking taylor expansion of -3 in x.im 0.177 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.177 * [taylor]: Taking taylor expansion of x.im in x.im 0.177 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.177 * [taylor]: Taking taylor expansion of x.re in x.im 0.177 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.177 * [taylor]: Taking taylor expansion of -3 in x.re 0.177 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.177 * [taylor]: Taking taylor expansion of x.re in x.re 0.179 * [taylor]: Taking taylor expansion of 0 in x.re 0.181 * [taylor]: Taking taylor expansion of 0 in x.re 0.184 * [taylor]: Taking taylor expansion of 0 in x.re 0.188 * [taylor]: Taking taylor expansion of 0 in x.re 0.188 * * * [progress]: simplifying candidates 0.189 * [simplify]: Simplifying using # : (expm1 (* x.im (* x.re x.re))) (log1p (* x.im (* x.re x.re))) (* x.im (* x.re x.re)) (* x.im (* x.re x.re)) (+ (log x.im) (+ (log x.re) (log x.re))) (+ (log x.im) (log (* x.re x.re))) (log (* x.im (* x.re x.re))) (exp (* x.im (* x.re x.re))) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) x.re) (* (* x.re x.re) x.re))) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) (* x.re x.re)) (* x.re x.re))) (* (cbrt (* x.im (* x.re x.re))) (cbrt (* x.im (* x.re x.re)))) (cbrt (* x.im (* x.re x.re))) (* (* (* x.im (* x.re x.re)) (* x.im (* x.re x.re))) (* x.im (* x.re x.re))) (sqrt (* x.im (* x.re x.re))) (sqrt (* x.im (* x.re x.re))) (* (sqrt x.im) x.re) (* (sqrt x.im) x.re) (* x.im x.re) (* (cbrt x.im) (* x.re x.re)) (* (sqrt x.im) (* x.re x.re)) (* x.im (* x.re x.re)) (expm1 (* 3 (* x.im (* x.re x.re)))) (log1p (* 3 (* x.im (* x.re x.re)))) (* 3 (* x.im (* x.re x.re))) (* 3 (* x.im (* x.re x.re))) (* 3 (* x.im (* x.re x.re))) (+ (log 3) (+ (log x.im) (+ (log x.re) (log x.re)))) (+ (log 3) (+ (log x.im) (log (* x.re x.re)))) (+ (log 3) (log (* x.im (* x.re x.re)))) (log (* 3 (* x.im (* x.re x.re)))) (exp (* 3 (* x.im (* x.re x.re)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) x.re) (* (* x.re x.re) x.re)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) (* x.re x.re)) (* x.re x.re)))) (* (* (* 3 3) 3) (* (* (* x.im (* x.re x.re)) (* x.im (* x.re x.re))) (* x.im (* x.re x.re)))) (* (cbrt (* 3 (* x.im (* x.re x.re)))) (cbrt (* 3 (* x.im (* x.re x.re))))) (cbrt (* 3 (* x.im (* x.re x.re)))) (* (* (* 3 (* x.im (* x.re x.re))) (* 3 (* x.im (* x.re x.re)))) (* 3 (* x.im (* x.re x.re)))) (sqrt (* 3 (* x.im (* x.re x.re)))) (sqrt (* 3 (* x.im (* x.re x.re)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.re))) (* (sqrt 3) (* x.im (* x.re x.re))) (* 3 (* x.im (* x.re x.re))) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.193 * * [simplify]: iteration 0 : 156 enodes (cost 197 ) 0.196 * * [simplify]: iteration 1 : 594 enodes (cost 161 ) 0.209 * * [simplify]: iteration 2 : 2921 enodes (cost 161 ) 0.270 * * [simplify]: iteration 3 : 5001 enodes (cost 161 ) 0.272 * [simplify]: Simplified to: (expm1 (* x.im (* x.re x.re))) (log1p (* x.im (* x.re x.re))) (* x.im (* x.re x.re)) (* x.im (* x.re x.re)) (log (* x.im (* x.re x.re))) (log (* x.im (* x.re x.re))) (log (* x.im (* x.re x.re))) (exp (* x.im (* x.re x.re))) (pow (* x.im (* x.re x.re)) 3) (pow (* x.im (* x.re x.re)) 3) (* (cbrt (* x.im (* x.re x.re))) (cbrt (* x.im (* x.re x.re)))) (cbrt (* x.im (* x.re x.re))) (pow (* x.im (* x.re x.re)) 3) (sqrt (* x.im (* x.re x.re))) (sqrt (* x.im (* x.re x.re))) (* (sqrt x.im) x.re) (* (sqrt x.im) x.re) (* x.im x.re) (* (cbrt x.im) (* x.re x.re)) (* (sqrt x.im) (* x.re x.re)) (* x.im (* x.re x.re)) (expm1 (* 3 (* x.im (* x.re x.re)))) (log1p (* 3 (* x.im (* x.re x.re)))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (log (* 3 (* x.im (* x.re x.re)))) (log (* 3 (* x.im (* x.re x.re)))) (log (* 3 (* x.im (* x.re x.re)))) (log (* 3 (* x.im (* x.re x.re)))) (exp (* 3 (* x.im (* x.re x.re)))) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (* (cbrt (* 3 (* x.im (* x.re x.re)))) (cbrt (* 3 (* x.im (* x.re x.re))))) (cbrt (* 3 (* x.im (* x.re x.re)))) (pow (* 3 (* x.im (pow x.re 2))) 3) (sqrt (* 3 (* x.im (* x.re x.re)))) (sqrt (* 3 (* x.im (* x.re x.re)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.re))) (* (sqrt 3) (* x.im (* x.re x.re))) (* 3 (* x.im (pow x.re 2))) (* x.im (* x.re x.re)) (* x.im (* x.re x.re)) (* x.im (* x.re x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.272 * * * [progress]: adding candidates to table 0.349 * * [progress]: iteration 2 / 4 0.349 * * * [progress]: picking best candidate 0.362 * * * * [pick]: Picked # 0.362 * * * [progress]: localizing error 0.369 * * * [progress]: generating rewritten candidates 0.369 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.376 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.382 * * * [progress]: generating series expansions 0.382 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.382 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.382 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.382 * [taylor]: Taking taylor expansion of 3 in x.re 0.382 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.382 * [taylor]: Taking taylor expansion of x.im in x.re 0.382 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.382 * [taylor]: Taking taylor expansion of x.re in x.re 0.382 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.382 * [taylor]: Taking taylor expansion of 3 in x.im 0.382 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.382 * [taylor]: Taking taylor expansion of x.im in x.im 0.382 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.382 * [taylor]: Taking taylor expansion of x.re in x.im 0.383 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.383 * [taylor]: Taking taylor expansion of 3 in x.im 0.383 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.383 * [taylor]: Taking taylor expansion of x.im in x.im 0.383 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.383 * [taylor]: Taking taylor expansion of x.re in x.im 0.383 * [taylor]: Taking taylor expansion of 0 in x.re 0.384 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.384 * [taylor]: Taking taylor expansion of 3 in x.re 0.384 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.384 * [taylor]: Taking taylor expansion of x.re in x.re 0.386 * [taylor]: Taking taylor expansion of 0 in x.re 0.389 * [taylor]: Taking taylor expansion of 0 in x.re 0.389 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.389 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.389 * [taylor]: Taking taylor expansion of 3 in x.re 0.389 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.389 * [taylor]: Taking taylor expansion of x.im in x.re 0.389 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.389 * [taylor]: Taking taylor expansion of x.re in x.re 0.390 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.390 * [taylor]: Taking taylor expansion of 3 in x.im 0.390 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.390 * [taylor]: Taking taylor expansion of x.im in x.im 0.390 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.390 * [taylor]: Taking taylor expansion of x.re in x.im 0.390 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.390 * [taylor]: Taking taylor expansion of 3 in x.im 0.390 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.390 * [taylor]: Taking taylor expansion of x.im in x.im 0.390 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.390 * [taylor]: Taking taylor expansion of x.re in x.im 0.391 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.391 * [taylor]: Taking taylor expansion of 3 in x.re 0.391 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.391 * [taylor]: Taking taylor expansion of x.re in x.re 0.392 * [taylor]: Taking taylor expansion of 0 in x.re 0.395 * [taylor]: Taking taylor expansion of 0 in x.re 0.398 * [taylor]: Taking taylor expansion of 0 in x.re 0.401 * [taylor]: Taking taylor expansion of 0 in x.re 0.402 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.402 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.402 * [taylor]: Taking taylor expansion of -3 in x.re 0.402 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.402 * [taylor]: Taking taylor expansion of x.im in x.re 0.402 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.402 * [taylor]: Taking taylor expansion of x.re in x.re 0.402 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.402 * [taylor]: Taking taylor expansion of -3 in x.im 0.402 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.402 * [taylor]: Taking taylor expansion of x.im in x.im 0.402 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.402 * [taylor]: Taking taylor expansion of x.re in x.im 0.403 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.403 * [taylor]: Taking taylor expansion of -3 in x.im 0.403 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.403 * [taylor]: Taking taylor expansion of x.im in x.im 0.403 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.403 * [taylor]: Taking taylor expansion of x.re in x.im 0.403 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.403 * [taylor]: Taking taylor expansion of -3 in x.re 0.403 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.403 * [taylor]: Taking taylor expansion of x.re in x.re 0.405 * [taylor]: Taking taylor expansion of 0 in x.re 0.407 * [taylor]: Taking taylor expansion of 0 in x.re 0.410 * [taylor]: Taking taylor expansion of 0 in x.re 0.414 * [taylor]: Taking taylor expansion of 0 in x.re 0.414 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.414 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.im x.re) around 0 0.414 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.414 * [taylor]: Taking taylor expansion of x.im in x.re 0.414 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.414 * [taylor]: Taking taylor expansion of x.re in x.re 0.414 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.414 * [taylor]: Taking taylor expansion of x.im in x.im 0.414 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.414 * [taylor]: Taking taylor expansion of x.re in x.im 0.414 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.414 * [taylor]: Taking taylor expansion of x.im in x.im 0.415 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.415 * [taylor]: Taking taylor expansion of x.re in x.im 0.415 * [taylor]: Taking taylor expansion of 0 in x.re 0.415 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.415 * [taylor]: Taking taylor expansion of x.re in x.re 0.416 * [taylor]: Taking taylor expansion of 0 in x.re 0.418 * [taylor]: Taking taylor expansion of 0 in x.re 0.418 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.418 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.418 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.418 * [taylor]: Taking taylor expansion of x.im in x.re 0.418 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.418 * [taylor]: Taking taylor expansion of x.re in x.re 0.418 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.418 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.418 * [taylor]: Taking taylor expansion of x.im in x.im 0.418 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.418 * [taylor]: Taking taylor expansion of x.re in x.im 0.419 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.419 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.419 * [taylor]: Taking taylor expansion of x.im in x.im 0.419 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.419 * [taylor]: Taking taylor expansion of x.re in x.im 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.420 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.420 * [taylor]: Taking taylor expansion of x.re in x.re 0.421 * [taylor]: Taking taylor expansion of 0 in x.re 0.424 * [taylor]: Taking taylor expansion of 0 in x.re 0.426 * [taylor]: Taking taylor expansion of 0 in x.re 0.430 * [taylor]: Taking taylor expansion of 0 in x.re 0.430 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.430 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 0.430 * [taylor]: Taking taylor expansion of -1 in x.re 0.430 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.430 * [taylor]: Taking taylor expansion of x.im in x.re 0.430 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.430 * [taylor]: Taking taylor expansion of x.re in x.re 0.431 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.431 * [taylor]: Taking taylor expansion of -1 in x.im 0.431 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.431 * [taylor]: Taking taylor expansion of x.im in x.im 0.431 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.431 * [taylor]: Taking taylor expansion of x.re in x.im 0.431 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.431 * [taylor]: Taking taylor expansion of -1 in x.im 0.431 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.431 * [taylor]: Taking taylor expansion of x.im in x.im 0.431 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.431 * [taylor]: Taking taylor expansion of x.re in x.im 0.432 * [taylor]: Taking taylor expansion of (/ -1 (pow x.re 2)) in x.re 0.432 * [taylor]: Taking taylor expansion of -1 in x.re 0.432 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.432 * [taylor]: Taking taylor expansion of x.re in x.re 0.433 * [taylor]: Taking taylor expansion of 0 in x.re 0.436 * [taylor]: Taking taylor expansion of 0 in x.re 0.439 * [taylor]: Taking taylor expansion of 0 in x.re 0.448 * [taylor]: Taking taylor expansion of 0 in x.re 0.448 * * * [progress]: simplifying candidates 0.449 * [simplify]: Simplifying using # : (expm1 (* 3 (* (* x.im x.re) x.re))) (log1p (* 3 (* (* x.im x.re) x.re))) (* 3 (* (* x.im x.re) x.re)) (* 3 (* (* x.im x.re) x.re)) (* 3 (* (* x.im x.re) x.re)) (+ (log 3) (+ (+ (log x.im) (log x.re)) (log x.re))) (+ (log 3) (+ (log (* x.im x.re)) (log x.re))) (+ (log 3) (log (* (* x.im x.re) x.re))) (log (* 3 (* (* x.im x.re) x.re))) (exp (* 3 (* (* x.im x.re) x.re))) (* (* (* 3 3) 3) (* (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re)) (* (* x.re x.re) x.re))) (* (* (* 3 3) 3) (* (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re)) (* (* x.re x.re) x.re))) (* (* (* 3 3) 3) (* (* (* (* x.im x.re) x.re) (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re))) (* (cbrt (* 3 (* (* x.im x.re) x.re))) (cbrt (* 3 (* (* x.im x.re) x.re)))) (cbrt (* 3 (* (* x.im x.re) x.re))) (* (* (* 3 (* (* x.im x.re) x.re)) (* 3 (* (* x.im x.re) x.re))) (* 3 (* (* x.im x.re) x.re))) (sqrt (* 3 (* (* x.im x.re) x.re))) (sqrt (* 3 (* (* x.im x.re) x.re))) (* 3 (* x.im x.re)) (* (cbrt 3) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re)) (* 3 (* (* x.im x.re) x.re)) (expm1 (* (* x.im x.re) x.re)) (log1p (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) (+ (+ (log x.im) (log x.re)) (log x.re)) (+ (log (* x.im x.re)) (log x.re)) (log (* (* x.im x.re) x.re)) (exp (* (* x.im x.re) x.re)) (* (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re)) (* (* x.re x.re) x.re)) (* (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re)) (* (* x.re x.re) x.re)) (* (cbrt (* (* x.im x.re) x.re)) (cbrt (* (* x.im x.re) x.re))) (cbrt (* (* x.im x.re) x.re)) (* (* (* (* x.im x.re) x.re) (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re)) (sqrt (* (* x.im x.re) x.re)) (sqrt (* (* x.im x.re) x.re)) (* (* x.im x.re) (* (cbrt x.re) (cbrt x.re))) (* (* x.im x.re) (sqrt x.re)) (* (* x.im x.re) 1) (* x.re x.re) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) 0.453 * * [simplify]: iteration 0 : 169 enodes (cost 195 ) 0.457 * * [simplify]: iteration 1 : 861 enodes (cost 159 ) 0.480 * * [simplify]: iteration 2 : 5002 enodes (cost 159 ) 0.482 * [simplify]: Simplified to: (expm1 (* 3 (* (* x.im x.re) x.re))) (log1p (* 3 (* (* x.im x.re) x.re))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (log (* 3 (* (* x.im x.re) x.re))) (log (* 3 (* (* x.im x.re) x.re))) (log (* 3 (* (* x.im x.re) x.re))) (log (* 3 (* (* x.im x.re) x.re))) (exp (* 3 (* (* x.im x.re) x.re))) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (* (cbrt (* 3 (* (* x.im x.re) x.re))) (cbrt (* 3 (* (* x.im x.re) x.re)))) (cbrt (* 3 (* (* x.im x.re) x.re))) (pow (* 3 (* x.im (pow x.re 2))) 3) (sqrt (* 3 (* (* x.im x.re) x.re))) (sqrt (* 3 (* (* x.im x.re) x.re))) (* 3 (* x.im x.re)) (* (cbrt 3) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re)) (* 3 (* x.im (pow x.re 2))) (expm1 (* (* x.im x.re) x.re)) (log1p (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) (log (* (* x.im x.re) x.re)) (log (* (* x.im x.re) x.re)) (log (* (* x.im x.re) x.re)) (exp (* (* x.im x.re) x.re)) (pow (* (* x.im x.re) x.re) 3) (pow (* (* x.im x.re) x.re) 3) (* (cbrt (* (* x.im x.re) x.re)) (cbrt (* (* x.im x.re) x.re))) (cbrt (* (* x.im x.re) x.re)) (pow (* (* x.im x.re) x.re) 3) (sqrt (* (* x.im x.re) x.re)) (sqrt (* (* x.im x.re) x.re)) (* (* x.im x.re) (* (cbrt x.re) (cbrt x.re))) (* (* x.im x.re) (sqrt x.re)) (* x.im x.re) (pow x.re 2) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) 0.482 * * * [progress]: adding candidates to table 0.546 * * [progress]: iteration 3 / 4 0.546 * * * [progress]: picking best candidate 0.556 * * * * [pick]: Picked # 0.556 * * * [progress]: localizing error 0.563 * * * [progress]: generating rewritten candidates 0.563 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.568 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.575 * * * [progress]: generating series expansions 0.575 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.575 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.575 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.575 * [taylor]: Taking taylor expansion of 3 in x.re 0.575 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.575 * [taylor]: Taking taylor expansion of x.im in x.re 0.575 * [taylor]: Taking taylor expansion of x.re in x.re 0.575 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.576 * [taylor]: Taking taylor expansion of 3 in x.im 0.576 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.576 * [taylor]: Taking taylor expansion of x.im in x.im 0.576 * [taylor]: Taking taylor expansion of x.re in x.im 0.576 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.576 * [taylor]: Taking taylor expansion of 3 in x.im 0.576 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.576 * [taylor]: Taking taylor expansion of x.im in x.im 0.576 * [taylor]: Taking taylor expansion of x.re in x.im 0.576 * [taylor]: Taking taylor expansion of 0 in x.re 0.577 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.577 * [taylor]: Taking taylor expansion of 3 in x.re 0.577 * [taylor]: Taking taylor expansion of x.re in x.re 0.578 * [taylor]: Taking taylor expansion of 0 in x.re 0.580 * [taylor]: Taking taylor expansion of 0 in x.re 0.583 * [taylor]: Taking taylor expansion of 0 in x.re 0.583 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.583 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.583 * [taylor]: Taking taylor expansion of 3 in x.re 0.583 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.583 * [taylor]: Taking taylor expansion of x.im in x.re 0.583 * [taylor]: Taking taylor expansion of x.re in x.re 0.583 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.583 * [taylor]: Taking taylor expansion of 3 in x.im 0.583 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.583 * [taylor]: Taking taylor expansion of x.im in x.im 0.583 * [taylor]: Taking taylor expansion of x.re in x.im 0.584 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.584 * [taylor]: Taking taylor expansion of 3 in x.im 0.584 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.584 * [taylor]: Taking taylor expansion of x.im in x.im 0.584 * [taylor]: Taking taylor expansion of x.re in x.im 0.584 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.584 * [taylor]: Taking taylor expansion of 3 in x.re 0.584 * [taylor]: Taking taylor expansion of x.re in x.re 0.585 * [taylor]: Taking taylor expansion of 0 in x.re 0.586 * [taylor]: Taking taylor expansion of 0 in x.re 0.588 * [taylor]: Taking taylor expansion of 0 in x.re 0.589 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.589 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.589 * [taylor]: Taking taylor expansion of 3 in x.re 0.589 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.589 * [taylor]: Taking taylor expansion of x.im in x.re 0.589 * [taylor]: Taking taylor expansion of x.re in x.re 0.589 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.589 * [taylor]: Taking taylor expansion of 3 in x.im 0.589 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.589 * [taylor]: Taking taylor expansion of x.im in x.im 0.589 * [taylor]: Taking taylor expansion of x.re in x.im 0.589 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.589 * [taylor]: Taking taylor expansion of 3 in x.im 0.589 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.589 * [taylor]: Taking taylor expansion of x.im in x.im 0.589 * [taylor]: Taking taylor expansion of x.re in x.im 0.590 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.590 * [taylor]: Taking taylor expansion of 3 in x.re 0.590 * [taylor]: Taking taylor expansion of x.re in x.re 0.591 * [taylor]: Taking taylor expansion of 0 in x.re 0.592 * [taylor]: Taking taylor expansion of 0 in x.re 0.594 * [taylor]: Taking taylor expansion of 0 in x.re 0.595 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.595 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.595 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.595 * [taylor]: Taking taylor expansion of 3 in x.re 0.595 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.595 * [taylor]: Taking taylor expansion of x.im in x.re 0.595 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.595 * [taylor]: Taking taylor expansion of x.re in x.re 0.595 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.595 * [taylor]: Taking taylor expansion of 3 in x.im 0.595 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.595 * [taylor]: Taking taylor expansion of x.im in x.im 0.595 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.595 * [taylor]: Taking taylor expansion of x.re in x.im 0.595 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.595 * [taylor]: Taking taylor expansion of 3 in x.im 0.595 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.595 * [taylor]: Taking taylor expansion of x.im in x.im 0.595 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.595 * [taylor]: Taking taylor expansion of x.re in x.im 0.595 * [taylor]: Taking taylor expansion of 0 in x.re 0.596 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.596 * [taylor]: Taking taylor expansion of 3 in x.re 0.596 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.596 * [taylor]: Taking taylor expansion of x.re in x.re 0.598 * [taylor]: Taking taylor expansion of 0 in x.re 0.601 * [taylor]: Taking taylor expansion of 0 in x.re 0.601 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.601 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.601 * [taylor]: Taking taylor expansion of 3 in x.re 0.601 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.601 * [taylor]: Taking taylor expansion of x.im in x.re 0.601 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.601 * [taylor]: Taking taylor expansion of x.re in x.re 0.601 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.602 * [taylor]: Taking taylor expansion of 3 in x.im 0.602 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.602 * [taylor]: Taking taylor expansion of x.im in x.im 0.602 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.602 * [taylor]: Taking taylor expansion of x.re in x.im 0.602 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.602 * [taylor]: Taking taylor expansion of 3 in x.im 0.602 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.602 * [taylor]: Taking taylor expansion of x.im in x.im 0.602 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.602 * [taylor]: Taking taylor expansion of x.re in x.im 0.603 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.603 * [taylor]: Taking taylor expansion of 3 in x.re 0.603 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.603 * [taylor]: Taking taylor expansion of x.re in x.re 0.604 * [taylor]: Taking taylor expansion of 0 in x.re 0.607 * [taylor]: Taking taylor expansion of 0 in x.re 0.610 * [taylor]: Taking taylor expansion of 0 in x.re 0.613 * [taylor]: Taking taylor expansion of 0 in x.re 0.613 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.614 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.614 * [taylor]: Taking taylor expansion of -3 in x.re 0.614 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.614 * [taylor]: Taking taylor expansion of x.im in x.re 0.614 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.614 * [taylor]: Taking taylor expansion of x.re in x.re 0.614 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.614 * [taylor]: Taking taylor expansion of -3 in x.im 0.614 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.614 * [taylor]: Taking taylor expansion of x.im in x.im 0.614 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.614 * [taylor]: Taking taylor expansion of x.re in x.im 0.615 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.615 * [taylor]: Taking taylor expansion of -3 in x.im 0.615 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.615 * [taylor]: Taking taylor expansion of x.im in x.im 0.615 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.615 * [taylor]: Taking taylor expansion of x.re in x.im 0.615 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.615 * [taylor]: Taking taylor expansion of -3 in x.re 0.615 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.615 * [taylor]: Taking taylor expansion of x.re in x.re 0.617 * [taylor]: Taking taylor expansion of 0 in x.re 0.619 * [taylor]: Taking taylor expansion of 0 in x.re 0.627 * [taylor]: Taking taylor expansion of 0 in x.re 0.631 * [taylor]: Taking taylor expansion of 0 in x.re 0.631 * * * [progress]: simplifying candidates 0.632 * [simplify]: Simplifying using # : (expm1 (* 3 (* x.im x.re))) (log1p (* 3 (* x.im x.re))) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (+ (log 3) (+ (log x.im) (log x.re))) (+ (log 3) (log (* x.im x.re))) (log (* 3 (* x.im x.re))) (exp (* 3 (* x.im x.re))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re))) (* (* (* 3 3) 3) (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re))) (* (cbrt (* 3 (* x.im x.re))) (cbrt (* 3 (* x.im x.re)))) (cbrt (* 3 (* x.im x.re))) (* (* (* 3 (* x.im x.re)) (* 3 (* x.im x.re))) (* 3 (* x.im x.re))) (sqrt (* 3 (* x.im x.re))) (sqrt (* 3 (* x.im x.re))) (* 3 x.im) (* (cbrt 3) (* x.im x.re)) (* (sqrt 3) (* x.im x.re)) (* 3 (* x.im x.re)) (expm1 (* (* 3 (* x.im x.re)) x.re)) (log1p (* (* 3 (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) x.re) (* (* 3 (* x.im x.re)) x.re) (* (* 3 (* x.im x.re)) x.re) (+ (+ (log 3) (+ (log x.im) (log x.re))) (log x.re)) (+ (+ (log 3) (log (* x.im x.re))) (log x.re)) (+ (log (* 3 (* x.im x.re))) (log x.re)) (log (* (* 3 (* x.im x.re)) x.re)) (exp (* (* 3 (* x.im x.re)) x.re)) (* (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re))) (* (* x.re x.re) x.re)) (* (* (* (* 3 3) 3) (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re))) (* (* x.re x.re) x.re)) (* (* (* (* 3 (* x.im x.re)) (* 3 (* x.im x.re))) (* 3 (* x.im x.re))) (* (* x.re x.re) x.re)) (* (cbrt (* (* 3 (* x.im x.re)) x.re)) (cbrt (* (* 3 (* x.im x.re)) x.re))) (cbrt (* (* 3 (* x.im x.re)) x.re)) (* (* (* (* 3 (* x.im x.re)) x.re) (* (* 3 (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) x.re)) (sqrt (* (* 3 (* x.im x.re)) x.re)) (sqrt (* (* 3 (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) (* (cbrt x.re) (cbrt x.re))) (* (* 3 (* x.im x.re)) (sqrt x.re)) (* (* 3 (* x.im x.re)) 1) (* (* x.im x.re) x.re) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.636 * * [simplify]: iteration 0 : 169 enodes (cost 191 ) 0.640 * * [simplify]: iteration 1 : 855 enodes (cost 159 ) 0.664 * * [simplify]: iteration 2 : 5001 enodes (cost 159 ) 0.666 * [simplify]: Simplified to: (expm1 (* 3 (* x.im x.re))) (log1p (* 3 (* x.im x.re))) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (log (* 3 (* x.im x.re))) (log (* 3 (* x.im x.re))) (log (* 3 (* x.im x.re))) (exp (* 3 (* x.im x.re))) (pow (* 3 (* x.im x.re)) 3) (pow (* 3 (* x.im x.re)) 3) (* (cbrt (* 3 (* x.im x.re))) (cbrt (* 3 (* x.im x.re)))) (cbrt (* 3 (* x.im x.re))) (pow (* 3 (* x.im x.re)) 3) (sqrt (* 3 (* x.im x.re))) (sqrt (* 3 (* x.im x.re))) (* 3 x.im) (* (cbrt 3) (* x.im x.re)) (* (sqrt 3) (* x.im x.re)) (* 3 (* x.im x.re)) (expm1 (* (* 3 (* x.im x.re)) x.re)) (log1p (* (* 3 (* x.im x.re)) x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (log (* (* 3 (* x.im x.re)) x.re)) (log (* (* 3 (* x.im x.re)) x.re)) (log (* (* 3 (* x.im x.re)) x.re)) (log (* (* 3 (* x.im x.re)) x.re)) (exp (* (* 3 (* x.im x.re)) x.re)) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (* (cbrt (* (* 3 (* x.im x.re)) x.re)) (cbrt (* (* 3 (* x.im x.re)) x.re))) (cbrt (* (* 3 (* x.im x.re)) x.re)) (pow (* 3 (* x.im (pow x.re 2))) 3) (sqrt (* (* 3 (* x.im x.re)) x.re)) (sqrt (* (* 3 (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) (* (cbrt x.re) (cbrt x.re))) (* (* 3 (* x.im x.re)) (sqrt x.re)) (* 3 (* x.im x.re)) (* (* x.im x.re) x.re) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.666 * * * [progress]: adding candidates to table 0.727 * * [progress]: iteration 4 / 4 0.727 * * * [progress]: picking best candidate 0.736 * * * * [pick]: Picked # 0.736 * * * [progress]: localizing error 0.746 * * * [progress]: generating rewritten candidates 0.746 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.757 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.764 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 2) 0.771 * * * [progress]: generating series expansions 0.771 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.772 * [approximate]: Taking taylor expansion of (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.772 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.re 0.772 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 0.772 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 0.772 * [taylor]: Taking taylor expansion of 3 in x.re 0.773 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.773 * [taylor]: Taking taylor expansion of x.im in x.re 0.773 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.773 * [taylor]: Taking taylor expansion of x.re in x.re 0.773 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.im 0.773 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 0.773 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 0.773 * [taylor]: Taking taylor expansion of 3 in x.im 0.774 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.774 * [taylor]: Taking taylor expansion of x.im in x.im 0.774 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.774 * [taylor]: Taking taylor expansion of x.re in x.im 0.774 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.im 0.774 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 0.774 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 0.774 * [taylor]: Taking taylor expansion of 3 in x.im 0.775 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.775 * [taylor]: Taking taylor expansion of x.im in x.im 0.775 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.775 * [taylor]: Taking taylor expansion of x.re in x.im 0.776 * [taylor]: Taking taylor expansion of 0 in x.re 0.778 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow x.re 2)) in x.re 0.778 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 0.778 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 0.778 * [taylor]: Taking taylor expansion of 3 in x.re 0.779 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.779 * [taylor]: Taking taylor expansion of x.re in x.re 0.784 * [taylor]: Taking taylor expansion of 0 in x.re 0.789 * [taylor]: Taking taylor expansion of 0 in x.re 0.790 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.790 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.re 0.790 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 0.790 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 0.790 * [taylor]: Taking taylor expansion of 3 in x.re 0.791 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.791 * [taylor]: Taking taylor expansion of x.im in x.re 0.791 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.791 * [taylor]: Taking taylor expansion of x.re in x.re 0.793 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.im 0.793 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 0.793 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 0.793 * [taylor]: Taking taylor expansion of 3 in x.im 0.793 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.794 * [taylor]: Taking taylor expansion of x.im in x.im 0.794 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.794 * [taylor]: Taking taylor expansion of x.re in x.im 0.795 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.im 0.795 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 0.795 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 0.795 * [taylor]: Taking taylor expansion of 3 in x.im 0.796 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.796 * [taylor]: Taking taylor expansion of x.im in x.im 0.796 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.796 * [taylor]: Taking taylor expansion of x.re in x.im 0.798 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow x.re 2)) in x.re 0.798 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 0.798 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 0.798 * [taylor]: Taking taylor expansion of 3 in x.re 0.799 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.799 * [taylor]: Taking taylor expansion of x.re in x.re 0.803 * [taylor]: Taking taylor expansion of 0 in x.re 1.011 * [taylor]: Taking taylor expansion of 0 in x.re 1.017 * [taylor]: Taking taylor expansion of 0 in x.re 1.024 * [taylor]: Taking taylor expansion of 0 in x.re 1.026 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2)))) in (x.im x.re) around 0 1.026 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2)))) in x.re 1.026 * [taylor]: Taking taylor expansion of -1 in x.re 1.026 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.re 1.026 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 1.026 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 1.026 * [taylor]: Taking taylor expansion of 3 in x.re 1.026 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.026 * [taylor]: Taking taylor expansion of x.im in x.re 1.026 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.026 * [taylor]: Taking taylor expansion of x.re in x.re 1.028 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2)))) in x.im 1.028 * [taylor]: Taking taylor expansion of -1 in x.im 1.028 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.im 1.028 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 1.028 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 1.028 * [taylor]: Taking taylor expansion of 3 in x.im 1.029 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.029 * [taylor]: Taking taylor expansion of x.im in x.im 1.029 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.029 * [taylor]: Taking taylor expansion of x.re in x.im 1.031 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2)))) in x.im 1.031 * [taylor]: Taking taylor expansion of -1 in x.im 1.031 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (* x.im (pow x.re 2))) in x.im 1.031 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.im 1.031 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 1.031 * [taylor]: Taking taylor expansion of 3 in x.im 1.031 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.031 * [taylor]: Taking taylor expansion of x.im in x.im 1.031 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.031 * [taylor]: Taking taylor expansion of x.re in x.im 1.034 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt 3) 2) (pow x.re 2))) in x.re 1.034 * [taylor]: Taking taylor expansion of -1 in x.re 1.034 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow x.re 2)) in x.re 1.034 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x.re 1.034 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 1.034 * [taylor]: Taking taylor expansion of 3 in x.re 1.035 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.035 * [taylor]: Taking taylor expansion of x.re in x.re 1.042 * [taylor]: Taking taylor expansion of 0 in x.re 1.048 * [taylor]: Taking taylor expansion of 0 in x.re 1.056 * [taylor]: Taking taylor expansion of 0 in x.re 1.066 * [taylor]: Taking taylor expansion of 0 in x.re 1.067 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 1.068 * [approximate]: Taking taylor expansion of (* (sqrt 3) (* x.im (pow x.re 2))) in (x.im x.re) around 0 1.068 * [taylor]: Taking taylor expansion of (* (sqrt 3) (* x.im (pow x.re 2))) in x.re 1.068 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 1.068 * [taylor]: Taking taylor expansion of 3 in x.re 1.068 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.068 * [taylor]: Taking taylor expansion of x.im in x.re 1.068 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.068 * [taylor]: Taking taylor expansion of x.re in x.re 1.068 * [taylor]: Taking taylor expansion of (* (sqrt 3) (* x.im (pow x.re 2))) in x.im 1.068 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 1.069 * [taylor]: Taking taylor expansion of 3 in x.im 1.069 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.069 * [taylor]: Taking taylor expansion of x.im in x.im 1.069 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.069 * [taylor]: Taking taylor expansion of x.re in x.im 1.069 * [taylor]: Taking taylor expansion of (* (sqrt 3) (* x.im (pow x.re 2))) in x.im 1.069 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 1.069 * [taylor]: Taking taylor expansion of 3 in x.im 1.070 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.070 * [taylor]: Taking taylor expansion of x.im in x.im 1.070 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.070 * [taylor]: Taking taylor expansion of x.re in x.im 1.070 * [taylor]: Taking taylor expansion of 0 in x.re 1.071 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x.re 2)) in x.re 1.071 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 1.071 * [taylor]: Taking taylor expansion of 3 in x.re 1.072 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.072 * [taylor]: Taking taylor expansion of x.re in x.re 1.075 * [taylor]: Taking taylor expansion of 0 in x.re 1.079 * [taylor]: Taking taylor expansion of 0 in x.re 1.079 * [approximate]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in (x.im x.re) around 0 1.079 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.re 1.079 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 1.079 * [taylor]: Taking taylor expansion of 3 in x.re 1.080 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.080 * [taylor]: Taking taylor expansion of x.im in x.re 1.080 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.080 * [taylor]: Taking taylor expansion of x.re in x.re 1.081 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.im 1.081 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 1.081 * [taylor]: Taking taylor expansion of 3 in x.im 1.081 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.081 * [taylor]: Taking taylor expansion of x.im in x.im 1.081 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.081 * [taylor]: Taking taylor expansion of x.re in x.im 1.082 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.im 1.082 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 1.082 * [taylor]: Taking taylor expansion of 3 in x.im 1.083 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.083 * [taylor]: Taking taylor expansion of x.im in x.im 1.083 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.083 * [taylor]: Taking taylor expansion of x.re in x.im 1.084 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow x.re 2)) in x.re 1.084 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 1.084 * [taylor]: Taking taylor expansion of 3 in x.re 1.084 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.084 * [taylor]: Taking taylor expansion of x.re in x.re 1.087 * [taylor]: Taking taylor expansion of 0 in x.re 1.090 * [taylor]: Taking taylor expansion of 0 in x.re 1.098 * [taylor]: Taking taylor expansion of 0 in x.re 1.104 * [taylor]: Taking taylor expansion of 0 in x.re 1.104 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 3) (* x.im (pow x.re 2)))) in (x.im x.re) around 0 1.104 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) (* x.im (pow x.re 2)))) in x.re 1.104 * [taylor]: Taking taylor expansion of -1 in x.re 1.104 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.re 1.104 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 1.104 * [taylor]: Taking taylor expansion of 3 in x.re 1.105 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.105 * [taylor]: Taking taylor expansion of x.im in x.re 1.105 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.105 * [taylor]: Taking taylor expansion of x.re in x.re 1.106 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) (* x.im (pow x.re 2)))) in x.im 1.106 * [taylor]: Taking taylor expansion of -1 in x.im 1.106 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.im 1.106 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 1.106 * [taylor]: Taking taylor expansion of 3 in x.im 1.106 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.106 * [taylor]: Taking taylor expansion of x.im in x.im 1.106 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.107 * [taylor]: Taking taylor expansion of x.re in x.im 1.107 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) (* x.im (pow x.re 2)))) in x.im 1.107 * [taylor]: Taking taylor expansion of -1 in x.im 1.107 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (* x.im (pow x.re 2))) in x.im 1.107 * [taylor]: Taking taylor expansion of (sqrt 3) in x.im 1.107 * [taylor]: Taking taylor expansion of 3 in x.im 1.108 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.108 * [taylor]: Taking taylor expansion of x.im in x.im 1.108 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.108 * [taylor]: Taking taylor expansion of x.re in x.im 1.109 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) (pow x.re 2))) in x.re 1.109 * [taylor]: Taking taylor expansion of -1 in x.re 1.109 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow x.re 2)) in x.re 1.109 * [taylor]: Taking taylor expansion of (sqrt 3) in x.re 1.109 * [taylor]: Taking taylor expansion of 3 in x.re 1.110 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.110 * [taylor]: Taking taylor expansion of x.re in x.re 1.114 * [taylor]: Taking taylor expansion of 0 in x.re 1.119 * [taylor]: Taking taylor expansion of 0 in x.re 1.125 * [taylor]: Taking taylor expansion of 0 in x.re 1.132 * [taylor]: Taking taylor expansion of 0 in x.re 1.133 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 2) 1.133 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.im x.re) around 0 1.133 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.133 * [taylor]: Taking taylor expansion of x.im in x.re 1.133 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.133 * [taylor]: Taking taylor expansion of x.re in x.re 1.133 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.133 * [taylor]: Taking taylor expansion of x.im in x.im 1.133 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.133 * [taylor]: Taking taylor expansion of x.re in x.im 1.133 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.133 * [taylor]: Taking taylor expansion of x.im in x.im 1.133 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.133 * [taylor]: Taking taylor expansion of x.re in x.im 1.134 * [taylor]: Taking taylor expansion of 0 in x.re 1.134 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.134 * [taylor]: Taking taylor expansion of x.re in x.re 1.135 * [taylor]: Taking taylor expansion of 0 in x.re 1.137 * [taylor]: Taking taylor expansion of 0 in x.re 1.137 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 1.137 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 1.137 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.137 * [taylor]: Taking taylor expansion of x.im in x.re 1.137 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.137 * [taylor]: Taking taylor expansion of x.re in x.re 1.137 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 1.137 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.137 * [taylor]: Taking taylor expansion of x.im in x.im 1.137 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.137 * [taylor]: Taking taylor expansion of x.re in x.im 1.138 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 1.138 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.138 * [taylor]: Taking taylor expansion of x.im in x.im 1.138 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.138 * [taylor]: Taking taylor expansion of x.re in x.im 1.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 1.138 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.138 * [taylor]: Taking taylor expansion of x.re in x.re 1.140 * [taylor]: Taking taylor expansion of 0 in x.re 1.142 * [taylor]: Taking taylor expansion of 0 in x.re 1.145 * [taylor]: Taking taylor expansion of 0 in x.re 1.149 * [taylor]: Taking taylor expansion of 0 in x.re 1.149 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 1.149 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 1.149 * [taylor]: Taking taylor expansion of -1 in x.re 1.149 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.149 * [taylor]: Taking taylor expansion of x.im in x.re 1.149 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.149 * [taylor]: Taking taylor expansion of x.re in x.re 1.150 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 1.150 * [taylor]: Taking taylor expansion of -1 in x.im 1.150 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.150 * [taylor]: Taking taylor expansion of x.im in x.im 1.150 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.150 * [taylor]: Taking taylor expansion of x.re in x.im 1.150 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 1.150 * [taylor]: Taking taylor expansion of -1 in x.im 1.150 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.150 * [taylor]: Taking taylor expansion of x.im in x.im 1.150 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.150 * [taylor]: Taking taylor expansion of x.re in x.im 1.151 * [taylor]: Taking taylor expansion of (/ -1 (pow x.re 2)) in x.re 1.151 * [taylor]: Taking taylor expansion of -1 in x.re 1.151 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.151 * [taylor]: Taking taylor expansion of x.re in x.re 1.152 * [taylor]: Taking taylor expansion of 0 in x.re 1.155 * [taylor]: Taking taylor expansion of 0 in x.re 1.158 * [taylor]: Taking taylor expansion of 0 in x.re 1.162 * [taylor]: Taking taylor expansion of 0 in x.re 1.162 * * * [progress]: simplifying candidates 1.163 * [simplify]: Simplifying using # : (expm1 (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (log1p (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (+ (+ (log x.im) (log x.re)) (log x.re)))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (+ (log (* x.im x.re)) (log x.re)))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (log (* (* x.im x.re) x.re)))) (+ (log (sqrt 3)) (log (* (sqrt 3) (* (* x.im x.re) x.re)))) (log (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (exp (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re)) (* (* x.re x.re) x.re)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re)) (* (* x.re x.re) x.re)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.im x.re) x.re) (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (* x.im x.re) x.re)))) (* (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))))) (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (* (* (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (* (sqrt 3) (sqrt 3)) (* (cbrt (sqrt 3)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt (cbrt 3)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (expm1 (* (sqrt 3) (* (* x.im x.re) x.re))) (log1p (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re)) (+ (log (sqrt 3)) (+ (+ (log x.im) (log x.re)) (log x.re))) (+ (log (sqrt 3)) (+ (log (* x.im x.re)) (log x.re))) (+ (log (sqrt 3)) (log (* (* x.im x.re) x.re))) (log (* (sqrt 3) (* (* x.im x.re) x.re))) (exp (* (sqrt 3) (* (* x.im x.re) x.re))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re)) (* (* x.re x.re) x.re))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re)) (* (* x.re x.re) x.re))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (* x.im x.re) x.re) (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re))) (* (cbrt (* (sqrt 3) (* (* x.im x.re) x.re))) (cbrt (* (sqrt 3) (* (* x.im x.re) x.re)))) (cbrt (* (sqrt 3) (* (* x.im x.re) x.re))) (* (* (* (sqrt 3) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* (* x.im x.re) x.re))) (sqrt (* (sqrt 3) (* (* x.im x.re) x.re))) (sqrt (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* x.im x.re)) (* (cbrt (sqrt 3)) (* (* x.im x.re) x.re)) (* (sqrt (cbrt 3)) (* (* x.im x.re) x.re)) (* (sqrt (sqrt 3)) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re)) (* (sqrt (sqrt 3)) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re)) (expm1 (* (* x.im x.re) x.re)) (log1p (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) (+ (+ (log x.im) (log x.re)) (log x.re)) (+ (log (* x.im x.re)) (log x.re)) (log (* (* x.im x.re) x.re)) (exp (* (* x.im x.re) x.re)) (* (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re)) (* (* x.re x.re) x.re)) (* (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re)) (* (* x.re x.re) x.re)) (* (cbrt (* (* x.im x.re) x.re)) (cbrt (* (* x.im x.re) x.re))) (cbrt (* (* x.im x.re) x.re)) (* (* (* (* x.im x.re) x.re) (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re)) (sqrt (* (* x.im x.re) x.re)) (sqrt (* (* x.im x.re) x.re)) (* (* x.im x.re) (* (cbrt x.re) (cbrt x.re))) (* (* x.im x.re) (sqrt x.re)) (* (* x.im x.re) 1) (* x.re x.re) (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) (* (pow (sqrt 3) 2) (* x.im (pow x.re 2))) (* (sqrt 3) (* x.im (pow x.re 2))) (* (sqrt 3) (* x.im (pow x.re 2))) (* (sqrt 3) (* x.im (pow x.re 2))) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) 1.168 * * [simplify]: iteration 0 : 250 enodes (cost 452 ) 1.175 * * [simplify]: iteration 1 : 1349 enodes (cost 353 ) 1.208 * * [simplify]: iteration 2 : 5002 enodes (cost 353 ) 1.211 * [simplify]: Simplified to: (expm1 (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (log1p (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (* (* 3 x.im) (pow x.re 2)) (* (* 3 x.im) (pow x.re 2)) (* (* 3 x.im) (pow x.re 2)) (* (* 3 x.im) (pow x.re 2)) (+ (log 3) (log (* (* x.im x.re) x.re))) (+ (log 3) (log (* (* x.im x.re) x.re))) (+ (log 3) (log (* (* x.im x.re) x.re))) (+ (log 3) (log (* (* x.im x.re) x.re))) (+ (log 3) (log (* (* x.im x.re) x.re))) (pow (exp 3) (* (* x.im x.re) x.re)) (* (pow (* (* x.im x.re) x.re) 3) 27) (* (pow (* (* x.im x.re) x.re) 3) 27) (* (pow (* (* x.im x.re) x.re) 3) 27) (* (pow (* (* x.im x.re) x.re) 3) 27) (* (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))))) (cbrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (* (pow (* (* x.im x.re) x.re) 3) 27) (sqrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))) 3 (* (cbrt (sqrt 3)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt (cbrt 3)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (* 3 x.im) (pow x.re 2)) (* (sqrt (sqrt 3)) (* (sqrt 3) (* (* x.im x.re) x.re))) (* (* 3 x.im) (pow x.re 2)) (expm1 (* (sqrt 3) (* (* x.im x.re) x.re))) (log1p (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* x.im (pow x.re 2))) (* (sqrt 3) (* x.im (pow x.re 2))) (* (sqrt 3) (* x.im (pow x.re 2))) (log (* (sqrt 3) (* (* x.im x.re) x.re))) (log (* (sqrt 3) (* (* x.im x.re) x.re))) (log (* (sqrt 3) (* (* x.im x.re) x.re))) (log (* (sqrt 3) (* (* x.im x.re) x.re))) (exp (* (sqrt 3) (* (* x.im x.re) x.re))) (pow (* (sqrt 3) (* x.im (pow x.re 2))) 3) (pow (* (sqrt 3) (* x.im (pow x.re 2))) 3) (pow (* (sqrt 3) (* x.im (pow x.re 2))) 3) (* (cbrt (* (sqrt 3) (* (* x.im x.re) x.re))) (cbrt (* (sqrt 3) (* (* x.im x.re) x.re)))) (cbrt (* (sqrt 3) (* (* x.im x.re) x.re))) (pow (* (sqrt 3) (* x.im (pow x.re 2))) 3) (sqrt (* (sqrt 3) (* (* x.im x.re) x.re))) (sqrt (* (sqrt 3) (* (* x.im x.re) x.re))) (* (sqrt 3) (* x.im x.re)) (* (cbrt (sqrt 3)) (* (* x.im x.re) x.re)) (* (sqrt (cbrt 3)) (* (* x.im x.re) x.re)) (* (sqrt (sqrt 3)) (* (* x.im x.re) x.re)) (* (sqrt 3) (* x.im (pow x.re 2))) (* (sqrt (sqrt 3)) (* (* x.im x.re) x.re)) (* (sqrt 3) (* x.im (pow x.re 2))) (expm1 (* (* x.im x.re) x.re)) (log1p (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) (log (* (* x.im x.re) x.re)) (log (* (* x.im x.re) x.re)) (log (* (* x.im x.re) x.re)) (exp (* (* x.im x.re) x.re)) (pow (* (* x.im x.re) x.re) 3) (pow (* (* x.im x.re) x.re) 3) (* (cbrt (* (* x.im x.re) x.re)) (cbrt (* (* x.im x.re) x.re))) (cbrt (* (* x.im x.re) x.re)) (pow (* (* x.im x.re) x.re) 3) (sqrt (* (* x.im x.re) x.re)) (sqrt (* (* x.im x.re) x.re)) (* (* x.im x.re) (* (cbrt x.re) (cbrt x.re))) (* (* x.im x.re) (sqrt x.re)) (* x.im x.re) (pow x.re 2) (* (* 3 x.im) (pow x.re 2)) (* (* 3 x.im) (pow x.re 2)) (* (* 3 x.im) (pow x.re 2)) (* (sqrt 3) (* x.im (pow x.re 2))) (* (sqrt 3) (* x.im (pow x.re 2))) (* (sqrt 3) (* x.im (pow x.re 2))) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) 1.212 * * * [progress]: adding candidates to table 1.331 * [progress]: [Phase 3 of 3] Extracting. 1.331 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.333 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 1.333 * * * * [regimes]: Trying to branch on x.im from (# # # # # # #) 1.357 * * * * [regimes]: Trying to branch on x.re from (# # # # # # #) 1.379 * * * [regime]: Found split indices: #