1.951 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.032 * * [simplify]: iteration 0 : 24 enodes (cost 9 ) 0.033 * * [simplify]: iteration 1 : 61 enodes (cost 9 ) 0.035 * * [simplify]: iteration 2 : 168 enodes (cost 8 ) 0.039 * * [simplify]: iteration 3 : 483 enodes (cost 6 ) 0.049 * * [simplify]: iteration 4 : 1418 enodes (cost 5 ) 0.072 * * [simplify]: iteration 5 : 3857 enodes (cost 5 ) 0.123 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.123 * [simplify]: Simplified to: (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3)) 0.126 * * [progress]: iteration 1 / 4 0.126 * * * [progress]: picking best candidate 0.130 * * * * [pick]: Picked # 0.130 * * * [progress]: localizing error 0.138 * * * [progress]: generating rewritten candidates 0.138 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.142 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.144 * * * [progress]: generating series expansions 0.144 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.144 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.144 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.144 * [taylor]: Taking taylor expansion of -1 in x.im 0.144 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.144 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.144 * [taylor]: Taking taylor expansion of x.im in x.im 0.144 * [taylor]: Taking taylor expansion of x.re in x.im 0.144 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.144 * [taylor]: Taking taylor expansion of -1 in x.re 0.144 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.144 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.144 * [taylor]: Taking taylor expansion of x.im in x.re 0.144 * [taylor]: Taking taylor expansion of x.re in x.re 0.144 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.144 * [taylor]: Taking taylor expansion of -1 in x.re 0.144 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.144 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.144 * [taylor]: Taking taylor expansion of x.im in x.re 0.144 * [taylor]: Taking taylor expansion of x.re in x.re 0.145 * [taylor]: Taking taylor expansion of 0 in x.im 0.145 * [taylor]: Taking taylor expansion of (- (pow x.im 2)) in x.im 0.145 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.146 * [taylor]: Taking taylor expansion of x.im in x.im 0.147 * [taylor]: Taking taylor expansion of 0 in x.im 0.150 * [taylor]: Taking taylor expansion of 0 in x.im 0.150 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.150 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.150 * [taylor]: Taking taylor expansion of -1 in x.im 0.150 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.150 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.150 * [taylor]: Taking taylor expansion of x.im in x.im 0.150 * [taylor]: Taking taylor expansion of x.re in x.im 0.150 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.150 * [taylor]: Taking taylor expansion of -1 in x.re 0.150 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.150 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.150 * [taylor]: Taking taylor expansion of x.im in x.re 0.151 * [taylor]: Taking taylor expansion of x.re in x.re 0.151 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.151 * [taylor]: Taking taylor expansion of -1 in x.re 0.151 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.151 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.151 * [taylor]: Taking taylor expansion of x.im in x.re 0.151 * [taylor]: Taking taylor expansion of x.re in x.re 0.152 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.152 * [taylor]: Taking taylor expansion of -1 in x.im 0.152 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.152 * [taylor]: Taking taylor expansion of x.im in x.im 0.153 * [taylor]: Taking taylor expansion of 0 in x.im 0.155 * [taylor]: Taking taylor expansion of 0 in x.im 0.158 * [taylor]: Taking taylor expansion of 0 in x.im 0.161 * [taylor]: Taking taylor expansion of 0 in x.im 0.162 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.162 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.162 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.162 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.162 * [taylor]: Taking taylor expansion of x.im in x.im 0.162 * [taylor]: Taking taylor expansion of x.re in x.im 0.162 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.162 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.162 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.162 * [taylor]: Taking taylor expansion of x.im in x.re 0.162 * [taylor]: Taking taylor expansion of x.re in x.re 0.163 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.163 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.163 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.163 * [taylor]: Taking taylor expansion of x.im in x.re 0.163 * [taylor]: Taking taylor expansion of x.re in x.re 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.163 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.163 * [taylor]: Taking taylor expansion of x.im in x.im 0.165 * [taylor]: Taking taylor expansion of 0 in x.im 0.167 * [taylor]: Taking taylor expansion of 0 in x.im 0.169 * [taylor]: Taking taylor expansion of 0 in x.im 0.172 * [taylor]: Taking taylor expansion of 0 in x.im 0.173 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.173 * [approximate]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in (x.re x.im) around 0 0.173 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.im 0.173 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.173 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.im 0.173 * [taylor]: Taking taylor expansion of 3 in x.im 0.173 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.173 * [taylor]: Taking taylor expansion of -1 in x.im 0.173 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.173 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.174 * [taylor]: Taking taylor expansion of x.im in x.im 0.174 * [taylor]: Taking taylor expansion of x.re in x.im 0.174 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.174 * [taylor]: Taking taylor expansion of x.re in x.im 0.174 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.174 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.174 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.174 * [taylor]: Taking taylor expansion of 3 in x.re 0.174 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.174 * [taylor]: Taking taylor expansion of -1 in x.re 0.174 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.174 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.174 * [taylor]: Taking taylor expansion of x.im in x.re 0.174 * [taylor]: Taking taylor expansion of x.re in x.re 0.174 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.174 * [taylor]: Taking taylor expansion of x.re in x.re 0.174 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.174 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.174 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.174 * [taylor]: Taking taylor expansion of 3 in x.re 0.174 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.174 * [taylor]: Taking taylor expansion of -1 in x.re 0.174 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.174 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.174 * [taylor]: Taking taylor expansion of x.im in x.re 0.174 * [taylor]: Taking taylor expansion of x.re in x.re 0.174 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.174 * [taylor]: Taking taylor expansion of x.re in x.re 0.175 * [taylor]: Taking taylor expansion of 0 in x.im 0.176 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.177 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.177 * [taylor]: Taking taylor expansion of 3 in x.im 0.177 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.177 * [taylor]: Taking taylor expansion of x.im in x.im 0.179 * [taylor]: Taking taylor expansion of 0 in x.im 0.182 * [taylor]: Taking taylor expansion of 1 in x.im 0.190 * [taylor]: Taking taylor expansion of 0 in x.im 0.192 * [approximate]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in (x.re x.im) around 0 0.192 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.192 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.192 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.im 0.192 * [taylor]: Taking taylor expansion of 3 in x.im 0.192 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.192 * [taylor]: Taking taylor expansion of -1 in x.im 0.192 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.192 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.192 * [taylor]: Taking taylor expansion of x.im in x.im 0.192 * [taylor]: Taking taylor expansion of x.re in x.im 0.192 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 0.192 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.192 * [taylor]: Taking taylor expansion of x.re in x.im 0.192 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.192 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.192 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.192 * [taylor]: Taking taylor expansion of 3 in x.re 0.192 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.192 * [taylor]: Taking taylor expansion of -1 in x.re 0.192 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.192 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.192 * [taylor]: Taking taylor expansion of x.im in x.re 0.192 * [taylor]: Taking taylor expansion of x.re in x.re 0.193 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.193 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.193 * [taylor]: Taking taylor expansion of x.re in x.re 0.193 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.193 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.193 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.193 * [taylor]: Taking taylor expansion of 3 in x.re 0.193 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.193 * [taylor]: Taking taylor expansion of -1 in x.re 0.194 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.194 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.194 * [taylor]: Taking taylor expansion of x.im in x.re 0.194 * [taylor]: Taking taylor expansion of x.re in x.re 0.194 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.194 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.194 * [taylor]: Taking taylor expansion of x.re in x.re 0.195 * [taylor]: Taking taylor expansion of 1 in x.im 0.196 * [taylor]: Taking taylor expansion of 0 in x.im 0.198 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.198 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.198 * [taylor]: Taking taylor expansion of 3 in x.im 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.198 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.198 * [taylor]: Taking taylor expansion of x.im in x.im 0.202 * [taylor]: Taking taylor expansion of 0 in x.im 0.207 * [taylor]: Taking taylor expansion of 0 in x.im 0.210 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in (x.re x.im) around 0 0.210 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.im 0.210 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.210 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.210 * [taylor]: Taking taylor expansion of 3 in x.im 0.210 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.210 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.210 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.210 * [taylor]: Taking taylor expansion of x.im in x.im 0.210 * [taylor]: Taking taylor expansion of x.re in x.im 0.210 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.210 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.210 * [taylor]: Taking taylor expansion of -1 in x.im 0.210 * [taylor]: Taking taylor expansion of x.re in x.im 0.210 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.210 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.210 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.210 * [taylor]: Taking taylor expansion of 3 in x.re 0.210 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.210 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.210 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.210 * [taylor]: Taking taylor expansion of x.im in x.re 0.210 * [taylor]: Taking taylor expansion of x.re in x.re 0.211 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.211 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.211 * [taylor]: Taking taylor expansion of -1 in x.re 0.211 * [taylor]: Taking taylor expansion of x.re in x.re 0.211 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.211 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.211 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.211 * [taylor]: Taking taylor expansion of 3 in x.re 0.211 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.211 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.211 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.211 * [taylor]: Taking taylor expansion of x.im in x.re 0.212 * [taylor]: Taking taylor expansion of x.re in x.re 0.212 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.212 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.212 * [taylor]: Taking taylor expansion of -1 in x.re 0.212 * [taylor]: Taking taylor expansion of x.re in x.re 0.213 * [taylor]: Taking taylor expansion of -1 in x.im 0.215 * [taylor]: Taking taylor expansion of 0 in x.im 0.216 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.216 * [taylor]: Taking taylor expansion of 3 in x.im 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.216 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.216 * [taylor]: Taking taylor expansion of x.im in x.im 0.220 * [taylor]: Taking taylor expansion of 0 in x.im 0.225 * [taylor]: Taking taylor expansion of 0 in x.im 0.227 * * * [progress]: simplifying candidates 0.228 * [simplify]: Simplifying using # : (expm1 (* x.re (- (* x.im x.im)))) (log1p (* x.re (- (* x.im x.im)))) (* x.re (- (* x.im x.im))) (+ (log x.re) (log (- (* x.im x.im)))) (log (* x.re (- (* x.im x.im)))) (exp (* x.re (- (* x.im x.im)))) (* (* (* x.re x.re) x.re) (* (* (- (* x.im x.im)) (- (* x.im x.im))) (- (* x.im x.im)))) (* (cbrt (* x.re (- (* x.im x.im)))) (cbrt (* x.re (- (* x.im x.im))))) (cbrt (* x.re (- (* x.im x.im)))) (* (* (* x.re (- (* x.im x.im))) (* x.re (- (* x.im x.im)))) (* x.re (- (* x.im x.im)))) (sqrt (* x.re (- (* x.im x.im)))) (sqrt (* x.re (- (* x.im x.im)))) (* (sqrt x.re) (sqrt (- (* x.im x.im)))) (* (sqrt x.re) (sqrt (- (* x.im x.im)))) (* x.re (* x.im x.im)) (* x.re (* (cbrt (- (* x.im x.im))) (cbrt (- (* x.im x.im))))) (* x.re (sqrt (- (* x.im x.im)))) (* x.re 1) (* x.re -1) (* x.re (- x.im)) (* x.re x.im) (* (cbrt x.re) (- (* x.im x.im))) (* (sqrt x.re) (- (* x.im x.im))) (* x.re (- (* x.im x.im))) (expm1 (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (log1p (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (* 3 (* x.re (- (* x.im x.im)))) (log (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (exp (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (* (cbrt (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (cbrt (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3)))) (cbrt (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (* (* (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3)) (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (sqrt (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (sqrt (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (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))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) 0.231 * * [simplify]: iteration 0 : 129 enodes (cost 200 ) 0.235 * * [simplify]: iteration 1 : 707 enodes (cost 179 ) 0.253 * * [simplify]: iteration 2 : 4464 enodes (cost 174 ) 0.360 * * [simplify]: iteration 3 : 5001 enodes (cost 173 ) 0.361 * [simplify]: Simplified to: (expm1 (* x.re (- (* x.im x.im)))) (log1p (* x.re (- (* x.im x.im)))) (* -1 (* (pow x.im 2) x.re)) (log (* x.re (- (* x.im x.im)))) (log (* x.re (- (* x.im x.im)))) (exp (* x.re (- (* x.im x.im)))) (pow (* -1 (* (pow x.im 2) x.re)) 3) (* (cbrt (* x.re (- (* x.im x.im)))) (cbrt (* x.re (- (* x.im x.im))))) (cbrt (* x.re (- (* x.im x.im)))) (pow (* -1 (* (pow x.im 2) x.re)) 3) (sqrt (* x.re (- (* x.im x.im)))) (sqrt (* x.re (- (* x.im x.im)))) (* (sqrt x.re) (sqrt (- (* x.im x.im)))) (* (sqrt x.re) (sqrt (- (* x.im x.im)))) (* x.re (* x.im x.im)) (* x.re (* (cbrt (- (* x.im x.im))) (cbrt (- (* x.im x.im))))) (* x.re (sqrt (- (* x.im x.im)))) x.re (* x.re -1) (* x.re (- x.im)) (* x.re x.im) (* (cbrt x.re) (- (* x.im x.im))) (* (sqrt x.re) (- (* x.im x.im))) (* -1 (* (pow x.im 2) x.re)) (expm1 (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (log1p (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (* -3 (* x.re (* x.im x.im))) (log (fma -3 (* x.re (* x.im x.im)) (pow x.re 3))) (exp (fma -3 (* x.re (* x.im x.im)) (pow x.re 3))) (* (cbrt (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (cbrt (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3)))) (cbrt (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (pow (fma -3 (* x.re (* x.im x.im)) (pow x.re 3)) 3) (sqrt (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (sqrt (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (fma -3 (* x.re (* x.im x.im)) (pow x.re 3)) (fma -3 (* x.re (* x.im x.im)) (pow x.re 3)) (fma -3 (* x.re (* x.im x.im)) (pow x.re 3)) 0.361 * * * [progress]: adding candidates to table 0.460 * * [progress]: iteration 2 / 4 0.460 * * * [progress]: picking best candidate 0.474 * * * * [pick]: Picked # 0.474 * * * [progress]: localizing error 0.483 * * * [progress]: generating rewritten candidates 0.483 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.483 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.493 * * * [progress]: generating series expansions 0.493 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.493 * [approximate]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in (x.re x.im) around 0 0.493 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.im 0.493 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.493 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.im 0.493 * [taylor]: Taking taylor expansion of 3 in x.im 0.493 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.493 * [taylor]: Taking taylor expansion of -1 in x.im 0.493 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.493 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.493 * [taylor]: Taking taylor expansion of x.im in x.im 0.493 * [taylor]: Taking taylor expansion of x.re in x.im 0.493 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.493 * [taylor]: Taking taylor expansion of x.re in x.im 0.493 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.493 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.493 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.494 * [taylor]: Taking taylor expansion of 3 in x.re 0.494 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.494 * [taylor]: Taking taylor expansion of -1 in x.re 0.494 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.494 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.494 * [taylor]: Taking taylor expansion of x.im in x.re 0.494 * [taylor]: Taking taylor expansion of x.re in x.re 0.494 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.494 * [taylor]: Taking taylor expansion of x.re in x.re 0.494 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.494 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.494 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.494 * [taylor]: Taking taylor expansion of 3 in x.re 0.494 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.494 * [taylor]: Taking taylor expansion of -1 in x.re 0.494 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.494 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.494 * [taylor]: Taking taylor expansion of x.im in x.re 0.494 * [taylor]: Taking taylor expansion of x.re in x.re 0.494 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.494 * [taylor]: Taking taylor expansion of x.re in x.re 0.495 * [taylor]: Taking taylor expansion of 0 in x.im 0.496 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.496 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.496 * [taylor]: Taking taylor expansion of 3 in x.im 0.496 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.496 * [taylor]: Taking taylor expansion of x.im in x.im 0.498 * [taylor]: Taking taylor expansion of 0 in x.im 0.505 * [taylor]: Taking taylor expansion of 1 in x.im 0.510 * [taylor]: Taking taylor expansion of 0 in x.im 0.511 * [approximate]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in (x.re x.im) around 0 0.511 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.511 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.511 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.im 0.511 * [taylor]: Taking taylor expansion of 3 in x.im 0.511 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.511 * [taylor]: Taking taylor expansion of -1 in x.im 0.511 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.511 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.511 * [taylor]: Taking taylor expansion of x.im in x.im 0.511 * [taylor]: Taking taylor expansion of x.re in x.im 0.512 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 0.512 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.512 * [taylor]: Taking taylor expansion of x.re in x.im 0.512 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.512 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.512 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.512 * [taylor]: Taking taylor expansion of 3 in x.re 0.512 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.512 * [taylor]: Taking taylor expansion of -1 in x.re 0.512 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.512 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.512 * [taylor]: Taking taylor expansion of x.im in x.re 0.512 * [taylor]: Taking taylor expansion of x.re in x.re 0.513 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.513 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.513 * [taylor]: Taking taylor expansion of x.re in x.re 0.513 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.513 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.513 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.513 * [taylor]: Taking taylor expansion of 3 in x.re 0.513 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.513 * [taylor]: Taking taylor expansion of -1 in x.re 0.513 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.513 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.513 * [taylor]: Taking taylor expansion of x.im in x.re 0.513 * [taylor]: Taking taylor expansion of x.re in x.re 0.514 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.514 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.514 * [taylor]: Taking taylor expansion of x.re in x.re 0.515 * [taylor]: Taking taylor expansion of 1 in x.im 0.516 * [taylor]: Taking taylor expansion of 0 in x.im 0.518 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.518 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.518 * [taylor]: Taking taylor expansion of 3 in x.im 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.518 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.518 * [taylor]: Taking taylor expansion of x.im in x.im 0.522 * [taylor]: Taking taylor expansion of 0 in x.im 0.527 * [taylor]: Taking taylor expansion of 0 in x.im 0.530 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in (x.re x.im) around 0 0.530 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.im 0.530 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.530 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.530 * [taylor]: Taking taylor expansion of 3 in x.im 0.530 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.530 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.530 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.530 * [taylor]: Taking taylor expansion of x.im in x.im 0.530 * [taylor]: Taking taylor expansion of x.re in x.im 0.530 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.530 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.530 * [taylor]: Taking taylor expansion of -1 in x.im 0.530 * [taylor]: Taking taylor expansion of x.re in x.im 0.530 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.530 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.530 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.530 * [taylor]: Taking taylor expansion of 3 in x.re 0.530 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.530 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.531 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.531 * [taylor]: Taking taylor expansion of x.im in x.re 0.531 * [taylor]: Taking taylor expansion of x.re in x.re 0.531 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.531 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.531 * [taylor]: Taking taylor expansion of -1 in x.re 0.531 * [taylor]: Taking taylor expansion of x.re in x.re 0.531 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.532 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.532 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.532 * [taylor]: Taking taylor expansion of 3 in x.re 0.532 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.532 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.532 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.532 * [taylor]: Taking taylor expansion of x.im in x.re 0.532 * [taylor]: Taking taylor expansion of x.re in x.re 0.532 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.532 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.532 * [taylor]: Taking taylor expansion of -1 in x.re 0.532 * [taylor]: Taking taylor expansion of x.re in x.re 0.533 * [taylor]: Taking taylor expansion of -1 in x.im 0.535 * [taylor]: Taking taylor expansion of 0 in x.im 0.537 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.537 * [taylor]: Taking taylor expansion of 3 in x.im 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.537 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.537 * [taylor]: Taking taylor expansion of x.im in x.im 0.541 * [taylor]: Taking taylor expansion of 0 in x.im 0.546 * [taylor]: Taking taylor expansion of 0 in x.im 0.547 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.548 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.548 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.548 * [taylor]: Taking taylor expansion of -1 in x.im 0.548 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.548 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.548 * [taylor]: Taking taylor expansion of x.im in x.im 0.548 * [taylor]: Taking taylor expansion of x.re in x.im 0.548 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.548 * [taylor]: Taking taylor expansion of -1 in x.re 0.548 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.548 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.548 * [taylor]: Taking taylor expansion of x.im in x.re 0.548 * [taylor]: Taking taylor expansion of x.re in x.re 0.548 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.548 * [taylor]: Taking taylor expansion of -1 in x.re 0.548 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.548 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.548 * [taylor]: Taking taylor expansion of x.im in x.re 0.548 * [taylor]: Taking taylor expansion of x.re in x.re 0.548 * [taylor]: Taking taylor expansion of 0 in x.im 0.549 * [taylor]: Taking taylor expansion of (- (pow x.im 2)) in x.im 0.549 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.549 * [taylor]: Taking taylor expansion of x.im in x.im 0.551 * [taylor]: Taking taylor expansion of 0 in x.im 0.553 * [taylor]: Taking taylor expansion of 0 in x.im 0.553 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.553 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.554 * [taylor]: Taking taylor expansion of -1 in x.im 0.554 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.554 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.554 * [taylor]: Taking taylor expansion of x.im in x.im 0.554 * [taylor]: Taking taylor expansion of x.re in x.im 0.554 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.554 * [taylor]: Taking taylor expansion of -1 in x.re 0.554 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.554 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.554 * [taylor]: Taking taylor expansion of x.im in x.re 0.554 * [taylor]: Taking taylor expansion of x.re in x.re 0.555 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.555 * [taylor]: Taking taylor expansion of -1 in x.re 0.555 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.555 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.555 * [taylor]: Taking taylor expansion of x.im in x.re 0.555 * [taylor]: Taking taylor expansion of x.re in x.re 0.555 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.555 * [taylor]: Taking taylor expansion of -1 in x.im 0.555 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.555 * [taylor]: Taking taylor expansion of x.im in x.im 0.557 * [taylor]: Taking taylor expansion of 0 in x.im 0.559 * [taylor]: Taking taylor expansion of 0 in x.im 0.562 * [taylor]: Taking taylor expansion of 0 in x.im 0.565 * [taylor]: Taking taylor expansion of 0 in x.im 0.565 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.565 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.565 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.565 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.565 * [taylor]: Taking taylor expansion of x.im in x.im 0.565 * [taylor]: Taking taylor expansion of x.re in x.im 0.565 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.565 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.565 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.565 * [taylor]: Taking taylor expansion of x.im in x.re 0.565 * [taylor]: Taking taylor expansion of x.re in x.re 0.566 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.566 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.566 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.566 * [taylor]: Taking taylor expansion of x.im in x.re 0.566 * [taylor]: Taking taylor expansion of x.re in x.re 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.567 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.567 * [taylor]: Taking taylor expansion of x.im in x.im 0.568 * [taylor]: Taking taylor expansion of 0 in x.im 0.570 * [taylor]: Taking taylor expansion of 0 in x.im 0.573 * [taylor]: Taking taylor expansion of 0 in x.im 0.576 * [taylor]: Taking taylor expansion of 0 in x.im 0.576 * * * [progress]: simplifying candidates 0.577 * [simplify]: Simplifying using # : (expm1 (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (log1p (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (* 3 (* (* x.re (- x.im)) x.im)) (log (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (exp (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (* (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))) (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (* (* (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)) (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (sqrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (sqrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (expm1 (* (* x.re (- x.im)) x.im)) (log1p (* (* x.re (- x.im)) x.im)) (* (* x.re (- x.im)) x.im) (* (* x.re (- x.im)) x.im) (+ (+ (log x.re) (log (- x.im))) (log x.im)) (+ (log (* x.re (- x.im))) (log x.im)) (log (* (* x.re (- x.im)) x.im)) (exp (* (* x.re (- 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))) (* (* x.im x.im) x.im)) (* (cbrt (* (* x.re (- x.im)) x.im)) (cbrt (* (* x.re (- x.im)) x.im))) (cbrt (* (* x.re (- x.im)) x.im)) (* (* (* (* x.re (- x.im)) x.im) (* (* x.re (- x.im)) x.im)) (* (* x.re (- x.im)) x.im)) (sqrt (* (* x.re (- x.im)) x.im)) (sqrt (* (* x.re (- x.im)) x.im)) (* (* x.re x.im) x.im) (* (* x.re (- x.im)) (* (cbrt x.im) (cbrt x.im))) (* (* x.re (- x.im)) (sqrt x.im)) (* (* x.re (- x.im)) 1) (* (- x.im) x.im) (- (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 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) 0.580 * * [simplify]: iteration 0 : 151 enodes (cost 193 ) 0.584 * * [simplify]: iteration 1 : 780 enodes (cost 168 ) 0.606 * * [simplify]: iteration 2 : 5001 enodes (cost 167 ) 0.607 * [simplify]: Simplified to: (expm1 (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (log1p (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (* -3 (* (* x.re x.im) x.im)) (log (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (exp (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (* (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))) (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (pow (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)) 3) (sqrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (sqrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (expm1 (* (* x.re (- x.im)) x.im)) (log1p (* (* x.re (- x.im)) x.im)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (log (* (* x.re (- x.im)) x.im)) (log (* (* x.re (- x.im)) x.im)) (log (* (* x.re (- x.im)) x.im)) (exp (* (* x.re (- x.im)) x.im)) (pow (* (* x.re (- x.im)) x.im) 3) (pow (* (* x.re (- x.im)) x.im) 3) (* (cbrt (* (* x.re (- x.im)) x.im)) (cbrt (* (* x.re (- x.im)) x.im))) (cbrt (* (* x.re (- x.im)) x.im)) (pow (* (* x.re (- x.im)) x.im) 3) (sqrt (* (* x.re (- x.im)) x.im)) (sqrt (* (* x.re (- x.im)) x.im)) (* (* x.re x.im) x.im) (* (* x.re (- x.im)) (* (cbrt x.im) (cbrt x.im))) (* (* x.re (- x.im)) (sqrt x.im)) (* x.re (- x.im)) (* (- x.im) x.im) (- (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 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) 0.608 * * * [progress]: adding candidates to table 0.689 * * [progress]: iteration 3 / 4 0.689 * * * [progress]: picking best candidate 0.707 * * * * [pick]: Picked # 0.707 * * * [progress]: localizing error 0.715 * * * [progress]: generating rewritten candidates 0.715 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.735 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.743 * * * [progress]: generating series expansions 0.744 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.744 * [approximate]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.744 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.im 0.744 * [taylor]: Taking taylor expansion of -3 in x.im 0.744 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.744 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.744 * [taylor]: Taking taylor expansion of x.im in x.im 0.744 * [taylor]: Taking taylor expansion of x.re in x.im 0.744 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.744 * [taylor]: Taking taylor expansion of -3 in x.re 0.744 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.744 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.744 * [taylor]: Taking taylor expansion of x.im in x.re 0.744 * [taylor]: Taking taylor expansion of x.re in x.re 0.744 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.744 * [taylor]: Taking taylor expansion of -3 in x.re 0.744 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.744 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.744 * [taylor]: Taking taylor expansion of x.im in x.re 0.744 * [taylor]: Taking taylor expansion of x.re in x.re 0.745 * [taylor]: Taking taylor expansion of 0 in x.im 0.745 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.745 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.746 * [taylor]: Taking taylor expansion of 3 in x.im 0.746 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.746 * [taylor]: Taking taylor expansion of x.im in x.im 0.748 * [taylor]: Taking taylor expansion of 0 in x.im 0.750 * [taylor]: Taking taylor expansion of 0 in x.im 0.751 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.751 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.751 * [taylor]: Taking taylor expansion of -3 in x.im 0.751 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.751 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.751 * [taylor]: Taking taylor expansion of x.im in x.im 0.751 * [taylor]: Taking taylor expansion of x.re in x.im 0.751 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.751 * [taylor]: Taking taylor expansion of -3 in x.re 0.751 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.751 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.751 * [taylor]: Taking taylor expansion of x.im in x.re 0.751 * [taylor]: Taking taylor expansion of x.re in x.re 0.752 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.752 * [taylor]: Taking taylor expansion of -3 in x.re 0.752 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.752 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.752 * [taylor]: Taking taylor expansion of x.im in x.re 0.752 * [taylor]: Taking taylor expansion of x.re in x.re 0.752 * [taylor]: Taking taylor expansion of (/ -3 (pow x.im 2)) in x.im 0.752 * [taylor]: Taking taylor expansion of -3 in x.im 0.752 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.752 * [taylor]: Taking taylor expansion of x.im in x.im 0.754 * [taylor]: Taking taylor expansion of 0 in x.im 0.756 * [taylor]: Taking taylor expansion of 0 in x.im 0.759 * [taylor]: Taking taylor expansion of 0 in x.im 0.762 * [taylor]: Taking taylor expansion of 0 in x.im 0.762 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.762 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.762 * [taylor]: Taking taylor expansion of 3 in x.im 0.762 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.762 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.762 * [taylor]: Taking taylor expansion of x.im in x.im 0.762 * [taylor]: Taking taylor expansion of x.re in x.im 0.763 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.763 * [taylor]: Taking taylor expansion of 3 in x.re 0.763 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.763 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.763 * [taylor]: Taking taylor expansion of x.im in x.re 0.763 * [taylor]: Taking taylor expansion of x.re in x.re 0.763 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.763 * [taylor]: Taking taylor expansion of 3 in x.re 0.763 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.763 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.763 * [taylor]: Taking taylor expansion of x.im in x.re 0.763 * [taylor]: Taking taylor expansion of x.re in x.re 0.764 * [taylor]: Taking taylor expansion of (/ 3 (pow x.im 2)) in x.im 0.764 * [taylor]: Taking taylor expansion of 3 in x.im 0.764 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.764 * [taylor]: Taking taylor expansion of x.im in x.im 0.765 * [taylor]: Taking taylor expansion of 0 in x.im 0.767 * [taylor]: Taking taylor expansion of 0 in x.im 0.770 * [taylor]: Taking taylor expansion of 0 in x.im 0.773 * [taylor]: Taking taylor expansion of 0 in x.im 0.773 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.774 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.re x.im) around 0 0.774 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.774 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.774 * [taylor]: Taking taylor expansion of x.im in x.im 0.774 * [taylor]: Taking taylor expansion of x.re in x.im 0.774 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.774 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.774 * [taylor]: Taking taylor expansion of x.im in x.re 0.774 * [taylor]: Taking taylor expansion of x.re in x.re 0.774 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.774 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.774 * [taylor]: Taking taylor expansion of x.im in x.re 0.774 * [taylor]: Taking taylor expansion of x.re in x.re 0.774 * [taylor]: Taking taylor expansion of 0 in x.im 0.774 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.774 * [taylor]: Taking taylor expansion of x.im in x.im 0.775 * [taylor]: Taking taylor expansion of 0 in x.im 0.777 * [taylor]: Taking taylor expansion of 0 in x.im 0.777 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.777 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.777 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.777 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.777 * [taylor]: Taking taylor expansion of x.im in x.im 0.777 * [taylor]: Taking taylor expansion of x.re in x.im 0.777 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.777 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.777 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.777 * [taylor]: Taking taylor expansion of x.im in x.re 0.777 * [taylor]: Taking taylor expansion of x.re in x.re 0.778 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.778 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.778 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.778 * [taylor]: Taking taylor expansion of x.im in x.re 0.778 * [taylor]: Taking taylor expansion of x.re in x.re 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.779 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.779 * [taylor]: Taking taylor expansion of x.im in x.im 0.780 * [taylor]: Taking taylor expansion of 0 in x.im 0.782 * [taylor]: Taking taylor expansion of 0 in x.im 0.785 * [taylor]: Taking taylor expansion of 0 in x.im 0.788 * [taylor]: Taking taylor expansion of 0 in x.im 0.788 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.788 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.788 * [taylor]: Taking taylor expansion of -1 in x.im 0.788 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.788 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.788 * [taylor]: Taking taylor expansion of x.im in x.im 0.788 * [taylor]: Taking taylor expansion of x.re in x.im 0.789 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.789 * [taylor]: Taking taylor expansion of -1 in x.re 0.789 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.789 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.789 * [taylor]: Taking taylor expansion of x.im in x.re 0.789 * [taylor]: Taking taylor expansion of x.re in x.re 0.789 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.789 * [taylor]: Taking taylor expansion of -1 in x.re 0.789 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.789 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.789 * [taylor]: Taking taylor expansion of x.im in x.re 0.789 * [taylor]: Taking taylor expansion of x.re in x.re 0.790 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.790 * [taylor]: Taking taylor expansion of -1 in x.im 0.790 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.790 * [taylor]: Taking taylor expansion of x.im in x.im 0.791 * [taylor]: Taking taylor expansion of 0 in x.im 0.793 * [taylor]: Taking taylor expansion of 0 in x.im 0.796 * [taylor]: Taking taylor expansion of 0 in x.im 0.799 * [taylor]: Taking taylor expansion of 0 in x.im 0.799 * * * [progress]: simplifying candidates 0.800 * [simplify]: Simplifying using # : (expm1 (* -3 (* (* x.re x.im) x.im))) (log1p (* -3 (* (* x.re x.im) x.im))) (* -3 (* (* x.re x.im) x.im)) (* -3 (* (* x.re x.im) x.im)) (* -3 (* (* x.re x.im) x.im)) (+ (log -3) (+ (+ (log x.re) (log x.im)) (log x.im))) (+ (log -3) (+ (log (* x.re x.im)) (log x.im))) (+ (log -3) (log (* (* x.re x.im) x.im))) (log (* -3 (* (* x.re x.im) x.im))) (exp (* -3 (* (* x.re x.im) x.im))) (* (* (* -3 -3) -3) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* x.im x.im) x.im))) (* (* (* -3 -3) -3) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* x.im x.im) x.im))) (* (* (* -3 -3) -3) (* (* (* (* x.re x.im) x.im) (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im))) (* (cbrt (* -3 (* (* x.re x.im) x.im))) (cbrt (* -3 (* (* x.re x.im) x.im)))) (cbrt (* -3 (* (* x.re x.im) x.im))) (* (* (* -3 (* (* x.re x.im) x.im)) (* -3 (* (* x.re x.im) x.im))) (* -3 (* (* x.re x.im) x.im))) (sqrt (* -3 (* (* x.re x.im) x.im))) (sqrt (* -3 (* (* x.re x.im) x.im))) (* -3 (* x.re x.im)) (* (cbrt -3) (* (* x.re x.im) x.im)) (* (sqrt -3) (* (* x.re x.im) x.im)) (* -3 (* (* x.re x.im) x.im)) (expm1 (* (* x.re x.im) x.im)) (log1p (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) (+ (+ (log x.re) (log x.im)) (log x.im)) (+ (log (* x.re x.im)) (log x.im)) (log (* (* x.re x.im) x.im)) (exp (* (* x.re 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)) (* (* x.im x.im) x.im)) (* (cbrt (* (* x.re x.im) x.im)) (cbrt (* (* x.re x.im) x.im))) (cbrt (* (* x.re x.im) x.im)) (* (* (* (* x.re x.im) x.im) (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im)) (sqrt (* (* x.re x.im) x.im)) (sqrt (* (* x.re x.im) x.im)) (* (* x.re x.im) (* (cbrt x.im) (cbrt x.im))) (* (* x.re x.im) (sqrt x.im)) (* (* x.re x.im) 1) (* x.im x.im) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) 0.804 * * [simplify]: iteration 0 : 170 enodes (cost 195 ) 0.808 * * [simplify]: iteration 1 : 863 enodes (cost 159 ) 0.830 * * [simplify]: iteration 2 : 5002 enodes (cost 159 ) 0.831 * [simplify]: Simplified to: (expm1 (* -3 (* (* x.re x.im) x.im))) (log1p (* -3 (* (* x.re x.im) x.im))) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (log (* -3 (* (* x.re x.im) x.im))) (log (* -3 (* (* x.re x.im) x.im))) (log (* -3 (* (* x.re x.im) x.im))) (log (* -3 (* (* x.re x.im) x.im))) (exp (* -3 (* (* x.re x.im) x.im))) (pow (* -3 (* (pow x.im 2) x.re)) 3) (pow (* -3 (* (pow x.im 2) x.re)) 3) (pow (* -3 (* (pow x.im 2) x.re)) 3) (* (cbrt (* -3 (* (* x.re x.im) x.im))) (cbrt (* -3 (* (* x.re x.im) x.im)))) (cbrt (* -3 (* (* x.re x.im) x.im))) (pow (* -3 (* (pow x.im 2) x.re)) 3) (sqrt (* -3 (* (* x.re x.im) x.im))) (sqrt (* -3 (* (* x.re x.im) x.im))) (* -3 (* x.re x.im)) (* (cbrt -3) (* (* x.re x.im) x.im)) (* (sqrt -3) (* (* x.re x.im) x.im)) (* -3 (* (pow x.im 2) x.re)) (expm1 (* (* x.re x.im) x.im)) (log1p (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) (log (* (* x.re x.im) x.im)) (log (* (* x.re x.im) x.im)) (log (* (* x.re x.im) x.im)) (exp (* (* x.re x.im) x.im)) (pow (* (* x.re x.im) x.im) 3) (pow (* (* x.re x.im) x.im) 3) (* (cbrt (* (* x.re x.im) x.im)) (cbrt (* (* x.re x.im) x.im))) (cbrt (* (* x.re x.im) x.im)) (pow (* (* x.re x.im) x.im) 3) (sqrt (* (* x.re x.im) x.im)) (sqrt (* (* x.re x.im) x.im)) (* (* x.re x.im) (* (cbrt x.im) (cbrt x.im))) (* (* x.re x.im) (sqrt x.im)) (* x.re x.im) (pow x.im 2) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) 0.832 * * * [progress]: adding candidates to table 0.915 * * [progress]: iteration 4 / 4 0.915 * * * [progress]: picking best candidate 0.929 * * * * [pick]: Picked # 0.929 * * * [progress]: localizing error 0.936 * * * [progress]: generating rewritten candidates 0.936 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.942 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.964 * * * [progress]: generating series expansions 0.964 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.964 * [approximate]: Taking taylor expansion of (* -3 (* x.im x.re)) in (x.re x.im) around 0 0.964 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.im 0.964 * [taylor]: Taking taylor expansion of -3 in x.im 0.964 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.964 * [taylor]: Taking taylor expansion of x.im in x.im 0.964 * [taylor]: Taking taylor expansion of x.re in x.im 0.964 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 0.964 * [taylor]: Taking taylor expansion of -3 in x.re 0.965 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.965 * [taylor]: Taking taylor expansion of x.im in x.re 0.965 * [taylor]: Taking taylor expansion of x.re in x.re 0.965 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 0.965 * [taylor]: Taking taylor expansion of -3 in x.re 0.965 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.965 * [taylor]: Taking taylor expansion of x.im in x.re 0.965 * [taylor]: Taking taylor expansion of x.re in x.re 0.965 * [taylor]: Taking taylor expansion of 0 in x.im 0.966 * [taylor]: Taking taylor expansion of (- (* 3 x.im)) in x.im 0.966 * [taylor]: Taking taylor expansion of (* 3 x.im) in x.im 0.966 * [taylor]: Taking taylor expansion of 3 in x.im 0.966 * [taylor]: Taking taylor expansion of x.im in x.im 0.967 * [taylor]: Taking taylor expansion of 0 in x.im 0.969 * [taylor]: Taking taylor expansion of 0 in x.im 0.971 * [taylor]: Taking taylor expansion of 0 in x.im 0.971 * [approximate]: Taking taylor expansion of (/ -3 (* x.im x.re)) in (x.re x.im) around 0 0.972 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 0.972 * [taylor]: Taking taylor expansion of -3 in x.im 0.972 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.972 * [taylor]: Taking taylor expansion of x.im in x.im 0.972 * [taylor]: Taking taylor expansion of x.re in x.im 0.972 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 0.972 * [taylor]: Taking taylor expansion of -3 in x.re 0.972 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.972 * [taylor]: Taking taylor expansion of x.im in x.re 0.972 * [taylor]: Taking taylor expansion of x.re in x.re 0.972 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 0.972 * [taylor]: Taking taylor expansion of -3 in x.re 0.972 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.972 * [taylor]: Taking taylor expansion of x.im in x.re 0.972 * [taylor]: Taking taylor expansion of x.re in x.re 0.973 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 0.973 * [taylor]: Taking taylor expansion of -3 in x.im 0.973 * [taylor]: Taking taylor expansion of x.im in x.im 0.974 * [taylor]: Taking taylor expansion of 0 in x.im 0.975 * [taylor]: Taking taylor expansion of 0 in x.im 0.976 * [taylor]: Taking taylor expansion of 0 in x.im 0.977 * [approximate]: Taking taylor expansion of (/ -3 (* x.im x.re)) in (x.re x.im) around 0 0.977 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 0.977 * [taylor]: Taking taylor expansion of -3 in x.im 0.977 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.977 * [taylor]: Taking taylor expansion of x.im in x.im 0.977 * [taylor]: Taking taylor expansion of x.re in x.im 0.977 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 0.977 * [taylor]: Taking taylor expansion of -3 in x.re 0.977 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.977 * [taylor]: Taking taylor expansion of x.im in x.re 0.977 * [taylor]: Taking taylor expansion of x.re in x.re 0.977 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 0.977 * [taylor]: Taking taylor expansion of -3 in x.re 0.977 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.977 * [taylor]: Taking taylor expansion of x.im in x.re 0.977 * [taylor]: Taking taylor expansion of x.re in x.re 0.978 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 0.978 * [taylor]: Taking taylor expansion of -3 in x.im 0.978 * [taylor]: Taking taylor expansion of x.im in x.im 0.979 * [taylor]: Taking taylor expansion of 0 in x.im 0.980 * [taylor]: Taking taylor expansion of 0 in x.im 0.981 * [taylor]: Taking taylor expansion of 0 in x.im 0.982 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.982 * [approximate]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.982 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.im 0.982 * [taylor]: Taking taylor expansion of -3 in x.im 0.982 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.982 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.982 * [taylor]: Taking taylor expansion of x.im in x.im 0.982 * [taylor]: Taking taylor expansion of x.re in x.im 0.982 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.982 * [taylor]: Taking taylor expansion of -3 in x.re 0.982 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.982 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.982 * [taylor]: Taking taylor expansion of x.im in x.re 0.982 * [taylor]: Taking taylor expansion of x.re in x.re 0.982 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.982 * [taylor]: Taking taylor expansion of -3 in x.re 0.982 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.982 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.982 * [taylor]: Taking taylor expansion of x.im in x.re 0.982 * [taylor]: Taking taylor expansion of x.re in x.re 0.982 * [taylor]: Taking taylor expansion of 0 in x.im 0.983 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.983 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.983 * [taylor]: Taking taylor expansion of 3 in x.im 0.983 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.983 * [taylor]: Taking taylor expansion of x.im in x.im 0.985 * [taylor]: Taking taylor expansion of 0 in x.im 0.988 * [taylor]: Taking taylor expansion of 0 in x.im 0.988 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.988 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.988 * [taylor]: Taking taylor expansion of -3 in x.im 0.988 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.988 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.988 * [taylor]: Taking taylor expansion of x.im in x.im 0.988 * [taylor]: Taking taylor expansion of x.re in x.im 0.989 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.989 * [taylor]: Taking taylor expansion of -3 in x.re 0.989 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.989 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.989 * [taylor]: Taking taylor expansion of x.im in x.re 0.989 * [taylor]: Taking taylor expansion of x.re in x.re 0.989 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.989 * [taylor]: Taking taylor expansion of -3 in x.re 0.989 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.989 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.989 * [taylor]: Taking taylor expansion of x.im in x.re 0.989 * [taylor]: Taking taylor expansion of x.re in x.re 0.990 * [taylor]: Taking taylor expansion of (/ -3 (pow x.im 2)) in x.im 0.990 * [taylor]: Taking taylor expansion of -3 in x.im 0.990 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.990 * [taylor]: Taking taylor expansion of x.im in x.im 0.992 * [taylor]: Taking taylor expansion of 0 in x.im 0.994 * [taylor]: Taking taylor expansion of 0 in x.im 0.997 * [taylor]: Taking taylor expansion of 0 in x.im 1.000 * [taylor]: Taking taylor expansion of 0 in x.im 1.000 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 1.000 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 1.000 * [taylor]: Taking taylor expansion of 3 in x.im 1.000 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.000 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.000 * [taylor]: Taking taylor expansion of x.im in x.im 1.000 * [taylor]: Taking taylor expansion of x.re in x.im 1.001 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 1.001 * [taylor]: Taking taylor expansion of 3 in x.re 1.001 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.001 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.001 * [taylor]: Taking taylor expansion of x.im in x.re 1.001 * [taylor]: Taking taylor expansion of x.re in x.re 1.001 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 1.001 * [taylor]: Taking taylor expansion of 3 in x.re 1.001 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.001 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.001 * [taylor]: Taking taylor expansion of x.im in x.re 1.001 * [taylor]: Taking taylor expansion of x.re in x.re 1.002 * [taylor]: Taking taylor expansion of (/ 3 (pow x.im 2)) in x.im 1.002 * [taylor]: Taking taylor expansion of 3 in x.im 1.002 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.002 * [taylor]: Taking taylor expansion of x.im in x.im 1.004 * [taylor]: Taking taylor expansion of 0 in x.im 1.006 * [taylor]: Taking taylor expansion of 0 in x.im 1.008 * [taylor]: Taking taylor expansion of 0 in x.im 1.012 * [taylor]: Taking taylor expansion of 0 in x.im 1.012 * * * [progress]: simplifying candidates 1.012 * [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 (* (* -3 (* x.re x.im)) x.im)) (log1p (* (* -3 (* x.re x.im)) x.im)) (* (* -3 (* x.re x.im)) x.im) (* (* -3 (* x.re x.im)) x.im) (* (* -3 (* x.re x.im)) x.im) (+ (+ (log -3) (+ (log x.re) (log x.im))) (log x.im)) (+ (+ (log -3) (log (* x.re x.im))) (log x.im)) (+ (log (* -3 (* x.re x.im))) (log x.im)) (log (* (* -3 (* x.re x.im)) x.im)) (exp (* (* -3 (* x.re x.im)) x.im)) (* (* (* (* -3 -3) -3) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* x.im x.im) x.im)) (* (* (* (* -3 -3) -3) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (* x.im x.im) x.im)) (* (* (* (* -3 (* x.re x.im)) (* -3 (* x.re x.im))) (* -3 (* x.re x.im))) (* (* x.im x.im) x.im)) (* (cbrt (* (* -3 (* x.re x.im)) x.im)) (cbrt (* (* -3 (* x.re x.im)) x.im))) (cbrt (* (* -3 (* x.re x.im)) x.im)) (* (* (* (* -3 (* x.re x.im)) x.im) (* (* -3 (* x.re x.im)) x.im)) (* (* -3 (* x.re x.im)) x.im)) (sqrt (* (* -3 (* x.re x.im)) x.im)) (sqrt (* (* -3 (* x.re x.im)) x.im)) (* (* -3 (* x.re x.im)) (* (cbrt x.im) (cbrt x.im))) (* (* -3 (* x.re x.im)) (sqrt x.im)) (* (* -3 (* x.re x.im)) 1) (* (* x.re x.im) x.im) (* -3 (* x.im x.re)) (* -3 (* x.im x.re)) (* -3 (* x.im x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) 1.016 * * [simplify]: iteration 0 : 174 enodes (cost 191 ) 1.021 * * [simplify]: iteration 1 : 898 enodes (cost 159 ) 1.046 * * [simplify]: iteration 2 : 5001 enodes (cost 159 ) 1.047 * [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 (* (* -3 (* x.re x.im)) x.im)) (log1p (* (* -3 (* x.re x.im)) x.im)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (log (* (* -3 (* x.re x.im)) x.im)) (log (* (* -3 (* x.re x.im)) x.im)) (log (* (* -3 (* x.re x.im)) x.im)) (log (* (* -3 (* x.re x.im)) x.im)) (exp (* (* -3 (* x.re x.im)) x.im)) (pow (* -3 (* (pow x.im 2) x.re)) 3) (pow (* -3 (* (pow x.im 2) x.re)) 3) (pow (* -3 (* (pow x.im 2) x.re)) 3) (* (cbrt (* (* -3 (* x.re x.im)) x.im)) (cbrt (* (* -3 (* x.re x.im)) x.im))) (cbrt (* (* -3 (* x.re x.im)) x.im)) (pow (* -3 (* (pow x.im 2) x.re)) 3) (sqrt (* (* -3 (* x.re x.im)) x.im)) (sqrt (* (* -3 (* x.re x.im)) x.im)) (* (* -3 (* x.re x.im)) (* (cbrt x.im) (cbrt x.im))) (* (* -3 (* x.re x.im)) (sqrt x.im)) (* -3 (* x.re x.im)) (* (* x.re x.im) x.im) (* -3 (* x.re x.im)) (* -3 (* x.re x.im)) (* -3 (* 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)) 1.047 * * * [progress]: adding candidates to table 1.125 * [progress]: [Phase 3 of 3] Extracting. 1.126 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.127 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 1.127 * * * * [regimes]: Trying to branch on x.im from (# # # # # # #) 1.149 * * * * [regimes]: Trying to branch on x.re from (# # # # # # #) 1.175 * * * [regime]: Found split indices: #