1.891 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.034 * * [simplify]: iteration 0 : 24 enodes (cost 9 ) 0.036 * * [simplify]: iteration 1 : 61 enodes (cost 9 ) 0.038 * * [simplify]: iteration 2 : 168 enodes (cost 8 ) 0.042 * * [simplify]: iteration 3 : 483 enodes (cost 6 ) 0.051 * * [simplify]: iteration 4 : 1418 enodes (cost 5 ) 0.075 * * [simplify]: iteration 5 : 3857 enodes (cost 5 ) 0.126 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.126 * [simplify]: Simplified to: (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3)) 0.129 * * [progress]: iteration 1 / 4 0.129 * * * [progress]: picking best candidate 0.133 * * * * [pick]: Picked # 0.133 * * * [progress]: localizing error 0.140 * * * [progress]: generating rewritten candidates 0.140 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.145 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.146 * * * [progress]: generating series expansions 0.146 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.147 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.147 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.147 * [taylor]: Taking taylor expansion of -1 in x.im 0.147 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.147 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.147 * [taylor]: Taking taylor expansion of x.im in x.im 0.147 * [taylor]: Taking taylor expansion of x.re in x.im 0.147 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.147 * [taylor]: Taking taylor expansion of -1 in x.re 0.147 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.147 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.147 * [taylor]: Taking taylor expansion of x.im in x.re 0.147 * [taylor]: Taking taylor expansion of x.re in x.re 0.147 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.147 * [taylor]: Taking taylor expansion of -1 in x.re 0.147 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.147 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.147 * [taylor]: Taking taylor expansion of x.im in x.re 0.147 * [taylor]: Taking taylor expansion of x.re in x.re 0.148 * [taylor]: Taking taylor expansion of 0 in x.im 0.148 * [taylor]: Taking taylor expansion of (- (pow x.im 2)) in x.im 0.148 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.148 * [taylor]: Taking taylor expansion of x.im in x.im 0.150 * [taylor]: Taking taylor expansion of 0 in x.im 0.153 * [taylor]: Taking taylor expansion of 0 in x.im 0.153 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.153 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.153 * [taylor]: Taking taylor expansion of -1 in x.im 0.153 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.153 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.153 * [taylor]: Taking taylor expansion of x.im in x.im 0.153 * [taylor]: Taking taylor expansion of x.re in x.im 0.153 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.153 * [taylor]: Taking taylor expansion of -1 in x.re 0.153 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.153 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.153 * [taylor]: Taking taylor expansion of x.im in x.re 0.153 * [taylor]: Taking taylor expansion of x.re in x.re 0.154 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.154 * [taylor]: Taking taylor expansion of -1 in x.re 0.154 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.154 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.154 * [taylor]: Taking taylor expansion of x.im in x.re 0.154 * [taylor]: Taking taylor expansion of x.re in x.re 0.155 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.155 * [taylor]: Taking taylor expansion of -1 in x.im 0.155 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.155 * [taylor]: Taking taylor expansion of x.im in x.im 0.156 * [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 0.164 * [taylor]: Taking taylor expansion of 0 in x.im 0.164 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.164 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.164 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.164 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.164 * [taylor]: Taking taylor expansion of x.im in x.im 0.164 * [taylor]: Taking taylor expansion of x.re in x.im 0.165 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.165 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.165 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.165 * [taylor]: Taking taylor expansion of x.im in x.re 0.165 * [taylor]: Taking taylor expansion of x.re in x.re 0.165 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.165 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.165 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.165 * [taylor]: Taking taylor expansion of x.im in x.re 0.165 * [taylor]: Taking taylor expansion of x.re in x.re 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.166 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.166 * [taylor]: Taking taylor expansion of x.im 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 0.175 * [taylor]: Taking taylor expansion of 0 in x.im 0.175 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.175 * [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 0.175 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.im 0.175 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.175 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.im 0.175 * [taylor]: Taking taylor expansion of 3 in x.im 0.175 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.175 * [taylor]: Taking taylor expansion of -1 in x.im 0.175 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.175 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.176 * [taylor]: Taking taylor expansion of x.im in x.im 0.176 * [taylor]: Taking taylor expansion of x.re in x.im 0.176 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.176 * [taylor]: Taking taylor expansion of x.re in x.im 0.176 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.176 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.176 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.176 * [taylor]: Taking taylor expansion of 3 in x.re 0.176 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.176 * [taylor]: Taking taylor expansion of -1 in x.re 0.176 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.176 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.176 * [taylor]: Taking taylor expansion of x.im in x.re 0.176 * [taylor]: Taking taylor expansion of x.re in x.re 0.176 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.176 * [taylor]: Taking taylor expansion of x.re in x.re 0.176 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.176 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.176 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.176 * [taylor]: Taking taylor expansion of 3 in x.re 0.176 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.176 * [taylor]: Taking taylor expansion of -1 in x.re 0.176 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.176 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.176 * [taylor]: Taking taylor expansion of x.im in x.re 0.176 * [taylor]: Taking taylor expansion of x.re in x.re 0.176 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.176 * [taylor]: Taking taylor expansion of x.re in x.re 0.177 * [taylor]: Taking taylor expansion of 0 in x.im 0.178 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.178 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.178 * [taylor]: Taking taylor expansion of 3 in x.im 0.178 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.178 * [taylor]: Taking taylor expansion of x.im in x.im 0.180 * [taylor]: Taking taylor expansion of 0 in x.im 0.184 * [taylor]: Taking taylor expansion of 1 in x.im 0.192 * [taylor]: Taking taylor expansion of 0 in x.im 0.193 * [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 0.193 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.194 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.194 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.im 0.194 * [taylor]: Taking taylor expansion of 3 in x.im 0.194 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.194 * [taylor]: Taking taylor expansion of -1 in x.im 0.194 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.194 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.194 * [taylor]: Taking taylor expansion of x.im in x.im 0.194 * [taylor]: Taking taylor expansion of x.re in x.im 0.194 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 0.194 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.194 * [taylor]: Taking taylor expansion of x.re in x.im 0.194 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.194 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.194 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.194 * [taylor]: Taking taylor expansion of 3 in x.re 0.194 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.194 * [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 0.195 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.195 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.195 * [taylor]: Taking taylor expansion of x.re in x.re 0.195 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.195 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.195 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.195 * [taylor]: Taking taylor expansion of 3 in x.re 0.195 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.195 * [taylor]: Taking taylor expansion of -1 in x.re 0.195 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.195 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.195 * [taylor]: Taking taylor expansion of x.im in x.re 0.195 * [taylor]: Taking taylor expansion of x.re in x.re 0.196 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.196 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.196 * [taylor]: Taking taylor expansion of x.re in x.re 0.197 * [taylor]: Taking taylor expansion of 1 in x.im 0.198 * [taylor]: Taking taylor expansion of 0 in x.im 0.200 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.200 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.200 * [taylor]: Taking taylor expansion of 3 in x.im 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.200 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.200 * [taylor]: Taking taylor expansion of x.im in x.im 0.204 * [taylor]: Taking taylor expansion of 0 in x.im 0.209 * [taylor]: Taking taylor expansion of 0 in x.im 0.211 * [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 0.211 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.im 0.211 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.212 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.212 * [taylor]: Taking taylor expansion of 3 in x.im 0.212 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.212 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.212 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.212 * [taylor]: Taking taylor expansion of x.im in x.im 0.212 * [taylor]: Taking taylor expansion of x.re in x.im 0.212 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.212 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.212 * [taylor]: Taking taylor expansion of -1 in x.im 0.212 * [taylor]: Taking taylor expansion of x.re in x.im 0.212 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.212 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.212 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.212 * [taylor]: Taking taylor expansion of 3 in x.re 0.212 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.212 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.212 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.212 * [taylor]: Taking taylor expansion of x.im in x.re 0.212 * [taylor]: Taking taylor expansion of x.re in x.re 0.213 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.213 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.213 * [taylor]: Taking taylor expansion of -1 in x.re 0.213 * [taylor]: Taking taylor expansion of x.re in x.re 0.213 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.213 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.213 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.213 * [taylor]: Taking taylor expansion of 3 in x.re 0.213 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.213 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.213 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.213 * [taylor]: Taking taylor expansion of x.im in x.re 0.213 * [taylor]: Taking taylor expansion of x.re in x.re 0.214 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.214 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.214 * [taylor]: Taking taylor expansion of -1 in x.re 0.214 * [taylor]: Taking taylor expansion of x.re in x.re 0.215 * [taylor]: Taking taylor expansion of -1 in x.im 0.216 * [taylor]: Taking taylor expansion of 0 in x.im 0.218 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.218 * [taylor]: Taking taylor expansion of 3 in x.im 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.218 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.218 * [taylor]: Taking taylor expansion of x.im in x.im 0.222 * [taylor]: Taking taylor expansion of 0 in x.im 0.227 * [taylor]: Taking taylor expansion of 0 in x.im 0.229 * * * [progress]: simplifying candidates 0.229 * [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))) 0.233 * * [simplify]: iteration 0 : 129 enodes (cost 200 ) 0.237 * * [simplify]: iteration 1 : 707 enodes (cost 179 ) 0.256 * * [simplify]: iteration 2 : 4464 enodes (cost 174 ) 0.364 * * [simplify]: iteration 3 : 5001 enodes (cost 173 ) 0.366 * [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)) 0.366 * * * [progress]: adding candidates to table 0.463 * * [progress]: iteration 2 / 4 0.463 * * * [progress]: picking best candidate 0.478 * * * * [pick]: Picked # 0.478 * * * [progress]: localizing error 0.485 * * * [progress]: generating rewritten candidates 0.485 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.491 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.493 * * * [progress]: generating series expansions 0.493 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.493 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 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 (* -1 (* (pow x.im 2) x.re)) in x.re 0.493 * [taylor]: Taking taylor expansion of -1 in x.re 0.493 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.493 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.493 * [taylor]: Taking taylor expansion of x.im in x.re 0.493 * [taylor]: Taking taylor expansion of x.re in x.re 0.493 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.493 * [taylor]: Taking taylor expansion of -1 in x.re 0.493 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.493 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.493 * [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 0 in x.im 0.495 * [taylor]: Taking taylor expansion of (- (pow x.im 2)) in x.im 0.495 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.495 * [taylor]: Taking taylor expansion of x.im in x.im 0.497 * [taylor]: Taking taylor expansion of 0 in x.im 0.499 * [taylor]: Taking taylor expansion of 0 in x.im 0.499 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.499 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.499 * [taylor]: Taking taylor expansion of -1 in x.im 0.499 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.499 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.499 * [taylor]: Taking taylor expansion of x.im in x.im 0.500 * [taylor]: Taking taylor expansion of x.re in x.im 0.500 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.500 * [taylor]: Taking taylor expansion of -1 in x.re 0.500 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.500 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.500 * [taylor]: Taking taylor expansion of x.im in x.re 0.500 * [taylor]: Taking taylor expansion of x.re in x.re 0.500 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.500 * [taylor]: Taking taylor expansion of -1 in x.re 0.500 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.500 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.501 * [taylor]: Taking taylor expansion of x.im in x.re 0.501 * [taylor]: Taking taylor expansion of x.re in x.re 0.501 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.501 * [taylor]: Taking taylor expansion of -1 in x.im 0.501 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.501 * [taylor]: Taking taylor expansion of x.im in x.im 0.503 * [taylor]: Taking taylor expansion of 0 in x.im 0.507 * [taylor]: Taking taylor expansion of 0 in x.im 0.510 * [taylor]: Taking taylor expansion of 0 in x.im 0.513 * [taylor]: Taking taylor expansion of 0 in x.im 0.513 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.513 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.513 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.513 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.513 * [taylor]: Taking taylor expansion of x.im in x.im 0.513 * [taylor]: Taking taylor expansion of x.re in x.im 0.514 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.514 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.514 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.514 * [taylor]: Taking taylor expansion of x.im in x.re 0.514 * [taylor]: Taking taylor expansion of x.re in x.re 0.514 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.514 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.514 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.514 * [taylor]: Taking taylor expansion of x.im in x.re 0.514 * [taylor]: Taking taylor expansion of x.re in x.re 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.515 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.515 * [taylor]: Taking taylor expansion of x.im in x.im 0.516 * [taylor]: Taking taylor expansion of 0 in x.im 0.518 * [taylor]: Taking taylor expansion of 0 in x.im 0.521 * [taylor]: Taking taylor expansion of 0 in x.im 0.524 * [taylor]: Taking taylor expansion of 0 in x.im 0.524 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.524 * [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 0.524 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.im 0.524 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.524 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.im 0.525 * [taylor]: Taking taylor expansion of 3 in x.im 0.525 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.525 * [taylor]: Taking taylor expansion of -1 in x.im 0.525 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.525 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.525 * [taylor]: Taking taylor expansion of x.im in x.im 0.525 * [taylor]: Taking taylor expansion of x.re in x.im 0.525 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.525 * [taylor]: Taking taylor expansion of x.re in x.im 0.525 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.525 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.525 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.525 * [taylor]: Taking taylor expansion of 3 in x.re 0.525 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.525 * [taylor]: Taking taylor expansion of -1 in x.re 0.525 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.525 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.525 * [taylor]: Taking taylor expansion of x.im in x.re 0.525 * [taylor]: Taking taylor expansion of x.re in x.re 0.525 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.525 * [taylor]: Taking taylor expansion of x.re in x.re 0.525 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.525 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.525 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.525 * [taylor]: Taking taylor expansion of 3 in x.re 0.525 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.525 * [taylor]: Taking taylor expansion of -1 in x.re 0.525 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.525 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.525 * [taylor]: Taking taylor expansion of x.im in x.re 0.525 * [taylor]: Taking taylor expansion of x.re in x.re 0.525 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.525 * [taylor]: Taking taylor expansion of x.re in x.re 0.526 * [taylor]: Taking taylor expansion of 0 in x.im 0.528 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.528 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.528 * [taylor]: Taking taylor expansion of 3 in x.im 0.528 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.528 * [taylor]: Taking taylor expansion of x.im in x.im 0.530 * [taylor]: Taking taylor expansion of 0 in x.im 0.533 * [taylor]: Taking taylor expansion of 1 in x.im 0.538 * [taylor]: Taking taylor expansion of 0 in x.im 0.539 * [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 0.539 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.539 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.539 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.im 0.539 * [taylor]: Taking taylor expansion of 3 in x.im 0.539 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.539 * [taylor]: Taking taylor expansion of -1 in x.im 0.539 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.539 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.540 * [taylor]: Taking taylor expansion of x.im in x.im 0.540 * [taylor]: Taking taylor expansion of x.re in x.im 0.540 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 0.540 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.540 * [taylor]: Taking taylor expansion of x.re in x.im 0.540 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.540 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.540 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.540 * [taylor]: Taking taylor expansion of 3 in x.re 0.540 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.540 * [taylor]: Taking taylor expansion of -1 in x.re 0.540 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.540 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.540 * [taylor]: Taking taylor expansion of x.im in x.re 0.540 * [taylor]: Taking taylor expansion of x.re in x.re 0.541 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.541 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.541 * [taylor]: Taking taylor expansion of x.re in x.re 0.541 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.541 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.541 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.541 * [taylor]: Taking taylor expansion of 3 in x.re 0.541 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.541 * [taylor]: Taking taylor expansion of -1 in x.re 0.541 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.541 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.541 * [taylor]: Taking taylor expansion of x.im in x.re 0.541 * [taylor]: Taking taylor expansion of x.re in x.re 0.542 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.542 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.542 * [taylor]: Taking taylor expansion of x.re in x.re 0.543 * [taylor]: Taking taylor expansion of 1 in x.im 0.544 * [taylor]: Taking taylor expansion of 0 in x.im 0.546 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.546 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.546 * [taylor]: Taking taylor expansion of 3 in x.im 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.546 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.546 * [taylor]: Taking taylor expansion of x.im in x.im 0.550 * [taylor]: Taking taylor expansion of 0 in x.im 0.555 * [taylor]: Taking taylor expansion of 0 in x.im 0.557 * [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 0.558 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.im 0.558 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.558 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.558 * [taylor]: Taking taylor expansion of 3 in x.im 0.558 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.558 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.558 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.558 * [taylor]: Taking taylor expansion of x.im in x.im 0.558 * [taylor]: Taking taylor expansion of x.re in x.im 0.558 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.558 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.558 * [taylor]: Taking taylor expansion of -1 in x.im 0.558 * [taylor]: Taking taylor expansion of x.re in x.im 0.558 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.558 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.558 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.558 * [taylor]: Taking taylor expansion of 3 in x.re 0.558 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.558 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.558 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.558 * [taylor]: Taking taylor expansion of x.im in x.re 0.558 * [taylor]: Taking taylor expansion of x.re in x.re 0.559 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.559 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.559 * [taylor]: Taking taylor expansion of -1 in x.re 0.559 * [taylor]: Taking taylor expansion of x.re in x.re 0.559 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.559 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.559 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.559 * [taylor]: Taking taylor expansion of 3 in x.re 0.559 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.559 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.559 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.559 * [taylor]: Taking taylor expansion of x.im in x.re 0.559 * [taylor]: Taking taylor expansion of x.re in x.re 0.560 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.560 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.560 * [taylor]: Taking taylor expansion of -1 in x.re 0.560 * [taylor]: Taking taylor expansion of x.re in x.re 0.561 * [taylor]: Taking taylor expansion of -1 in x.im 0.563 * [taylor]: Taking taylor expansion of 0 in x.im 0.564 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.564 * [taylor]: Taking taylor expansion of 3 in x.im 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.564 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.564 * [taylor]: Taking taylor expansion of x.im in x.im 0.568 * [taylor]: Taking taylor expansion of 0 in x.im 0.573 * [taylor]: Taking taylor expansion of 0 in x.im 0.575 * * * [progress]: simplifying candidates 0.576 * [simplify]: Simplifying using # : (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.re x.im) -1) (* (* x.re x.im) (- (* (cbrt x.im) (cbrt x.im)))) (* (* x.re x.im) (- (sqrt x.im))) (* (* x.re x.im) (- 1)) (* (* 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)) (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))) 0.580 * * [simplify]: iteration 0 : 186 enodes (cost 216 ) 0.585 * * [simplify]: iteration 1 : 1009 enodes (cost 190 ) 0.612 * * [simplify]: iteration 2 : 5001 enodes (cost 185 ) 0.613 * [simplify]: Simplified to: (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 (* -1 (* (pow x.im 2) x.re)) 3) (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))) (* (* 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.re x.im)) (* (* x.re x.im) (- (* (cbrt x.im) (cbrt x.im)))) (* (* x.re x.im) (- (sqrt x.im))) (- (* x.re 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)) (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)) 0.613 * * * [progress]: adding candidates to table 0.708 * * [progress]: iteration 3 / 4 0.709 * * * [progress]: picking best candidate 0.729 * * * * [pick]: Picked # 0.729 * * * [progress]: localizing error 0.737 * * * [progress]: generating rewritten candidates 0.737 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.742 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.743 * * * [progress]: generating series expansions 0.743 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.743 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.re x.im) around 0 0.743 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.743 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.743 * [taylor]: Taking taylor expansion of x.im in x.im 0.743 * [taylor]: Taking taylor expansion of x.re in x.im 0.743 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.743 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.743 * [taylor]: Taking taylor expansion of x.im in x.re 0.743 * [taylor]: Taking taylor expansion of x.re in x.re 0.743 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.743 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.743 * [taylor]: Taking taylor expansion of x.im in x.re 0.743 * [taylor]: Taking taylor expansion of x.re in x.re 0.744 * [taylor]: Taking taylor expansion of 0 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 0.745 * [taylor]: Taking taylor expansion of 0 in x.im 0.747 * [taylor]: Taking taylor expansion of 0 in x.im 0.747 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.747 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.747 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.747 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.747 * [taylor]: Taking taylor expansion of x.im in x.im 0.747 * [taylor]: Taking taylor expansion of x.re in x.im 0.747 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.747 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.747 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.747 * [taylor]: Taking taylor expansion of x.im in x.re 0.747 * [taylor]: Taking taylor expansion of x.re in x.re 0.748 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.748 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.748 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.748 * [taylor]: Taking taylor expansion of x.im in x.re 0.748 * [taylor]: Taking taylor expansion of x.re in x.re 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.749 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.749 * [taylor]: Taking taylor expansion of x.im in x.im 0.750 * [taylor]: Taking taylor expansion of 0 in x.im 0.752 * [taylor]: Taking taylor expansion of 0 in x.im 0.755 * [taylor]: Taking taylor expansion of 0 in x.im 0.758 * [taylor]: Taking taylor expansion of 0 in x.im 0.758 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.758 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.758 * [taylor]: Taking taylor expansion of -1 in x.im 0.758 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.758 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.758 * [taylor]: Taking taylor expansion of x.im in x.im 0.758 * [taylor]: Taking taylor expansion of x.re in x.im 0.758 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.758 * [taylor]: Taking taylor expansion of -1 in x.re 0.758 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.758 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.758 * [taylor]: Taking taylor expansion of x.im in x.re 0.758 * [taylor]: Taking taylor expansion of x.re in x.re 0.759 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.759 * [taylor]: Taking taylor expansion of -1 in x.re 0.759 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.759 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.759 * [taylor]: Taking taylor expansion of x.im in x.re 0.759 * [taylor]: Taking taylor expansion of x.re in x.re 0.760 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.760 * [taylor]: Taking taylor expansion of -1 in x.im 0.760 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.760 * [taylor]: Taking taylor expansion of x.im in x.im 0.761 * [taylor]: Taking taylor expansion of 0 in x.im 0.763 * [taylor]: Taking taylor expansion of 0 in x.im 0.766 * [taylor]: Taking taylor expansion of 0 in x.im 0.769 * [taylor]: Taking taylor expansion of 0 in x.im 0.769 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.769 * [approximate]: Taking taylor expansion of (fma -3 (* (pow x.im 2) x.re) (pow x.re 3)) in (x.re x.im) around 0 0.769 * [taylor]: Taking taylor expansion of (fma -3 (* (pow x.im 2) x.re) (pow x.re 3)) in x.im 0.769 * [taylor]: Rewrote expression to (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) 0.769 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.im 0.769 * [taylor]: Taking taylor expansion of -3 in x.im 0.769 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.769 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.769 * [taylor]: Taking taylor expansion of x.im in x.im 0.769 * [taylor]: Taking taylor expansion of x.re in x.im 0.770 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.770 * [taylor]: Taking taylor expansion of x.re in x.im 0.770 * [taylor]: Taking taylor expansion of (fma -3 (* (pow x.im 2) x.re) (pow x.re 3)) in x.re 0.770 * [taylor]: Rewrote expression to (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) 0.770 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.770 * [taylor]: Taking taylor expansion of -3 in x.re 0.770 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.770 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.770 * [taylor]: Taking taylor expansion of x.im in x.re 0.770 * [taylor]: Taking taylor expansion of x.re in x.re 0.770 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.770 * [taylor]: Taking taylor expansion of x.re in x.re 0.770 * [taylor]: Taking taylor expansion of (fma -3 (* (pow x.im 2) x.re) (pow x.re 3)) in x.re 0.770 * [taylor]: Rewrote expression to (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) 0.770 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.770 * [taylor]: Taking taylor expansion of -3 in x.re 0.770 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.770 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.770 * [taylor]: Taking taylor expansion of x.im in x.re 0.770 * [taylor]: Taking taylor expansion of x.re in x.re 0.770 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.770 * [taylor]: Taking taylor expansion of x.re in x.re 0.771 * [taylor]: Taking taylor expansion of 0 in x.im 0.771 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.772 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.772 * [taylor]: Taking taylor expansion of 3 in x.im 0.772 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.772 * [taylor]: Taking taylor expansion of x.im in x.im 0.773 * [taylor]: Taking taylor expansion of 0 in x.im 0.776 * [taylor]: Taking taylor expansion of 1 in x.im 0.779 * [taylor]: Taking taylor expansion of 0 in x.im 0.781 * [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 0.781 * [taylor]: Taking taylor expansion of (fma -3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.781 * [taylor]: Rewrote expression to (+ (* -3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.781 * [taylor]: Taking taylor expansion of (* -3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.781 * [taylor]: Taking taylor expansion of -3 in x.im 0.781 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.781 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.781 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.781 * [taylor]: Taking taylor expansion of x.im in x.im 0.781 * [taylor]: Taking taylor expansion of x.re in x.im 0.781 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 0.781 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.781 * [taylor]: Taking taylor expansion of x.re in x.im 0.781 * [taylor]: Taking taylor expansion of (fma -3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.782 * [taylor]: Rewrote expression to (+ (* -3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.782 * [taylor]: Taking taylor expansion of (* -3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.782 * [taylor]: Taking taylor expansion of -3 in x.re 0.782 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.782 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.782 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.782 * [taylor]: Taking taylor expansion of x.im in x.re 0.782 * [taylor]: Taking taylor expansion of x.re in x.re 0.782 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.782 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.782 * [taylor]: Taking taylor expansion of x.re in x.re 0.783 * [taylor]: Taking taylor expansion of (fma -3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.783 * [taylor]: Rewrote expression to (+ (* -3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.783 * [taylor]: Taking taylor expansion of (* -3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.783 * [taylor]: Taking taylor expansion of -3 in x.re 0.783 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.783 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.783 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.783 * [taylor]: Taking taylor expansion of x.im in x.re 0.783 * [taylor]: Taking taylor expansion of x.re in x.re 0.783 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.783 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.783 * [taylor]: Taking taylor expansion of x.re in x.re 0.784 * [taylor]: Taking taylor expansion of 1 in x.im 0.786 * [taylor]: Taking taylor expansion of 0 in x.im 0.787 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.787 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.787 * [taylor]: Taking taylor expansion of 3 in x.im 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.787 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.787 * [taylor]: Taking taylor expansion of x.im in x.im 0.791 * [taylor]: Taking taylor expansion of 0 in x.im 0.797 * [taylor]: Taking taylor expansion of 0 in x.im 0.799 * [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 0.799 * [taylor]: Taking taylor expansion of (fma -3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.im 0.799 * [taylor]: Rewrote expression to (+ (* -3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.799 * [taylor]: Taking taylor expansion of (* -3 (/ -1 (* (pow x.im 2) x.re))) in x.im 0.799 * [taylor]: Taking taylor expansion of -3 in x.im 0.799 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.799 * [taylor]: Taking taylor expansion of -1 in x.im 0.799 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.799 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.799 * [taylor]: Taking taylor expansion of x.im in x.im 0.799 * [taylor]: Taking taylor expansion of x.re in x.im 0.799 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.799 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.800 * [taylor]: Taking taylor expansion of -1 in x.im 0.800 * [taylor]: Taking taylor expansion of x.re in x.im 0.800 * [taylor]: Taking taylor expansion of (fma -3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.800 * [taylor]: Rewrote expression to (+ (* -3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.800 * [taylor]: Taking taylor expansion of (* -3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.800 * [taylor]: Taking taylor expansion of -3 in x.re 0.800 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.800 * [taylor]: Taking taylor expansion of -1 in x.re 0.800 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.800 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.800 * [taylor]: Taking taylor expansion of x.im in x.re 0.800 * [taylor]: Taking taylor expansion of x.re in x.re 0.800 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.800 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.800 * [taylor]: Taking taylor expansion of -1 in x.re 0.800 * [taylor]: Taking taylor expansion of x.re in x.re 0.801 * [taylor]: Taking taylor expansion of (fma -3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.801 * [taylor]: Rewrote expression to (+ (* -3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.801 * [taylor]: Taking taylor expansion of (* -3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.801 * [taylor]: Taking taylor expansion of -3 in x.re 0.801 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.801 * [taylor]: Taking taylor expansion of -1 in x.re 0.801 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.801 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.801 * [taylor]: Taking taylor expansion of x.im in x.re 0.801 * [taylor]: Taking taylor expansion of x.re in x.re 0.801 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.801 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.802 * [taylor]: Taking taylor expansion of -1 in x.re 0.802 * [taylor]: Taking taylor expansion of x.re in x.re 0.803 * [taylor]: Taking taylor expansion of -1 in x.im 0.804 * [taylor]: Taking taylor expansion of 0 in x.im 0.806 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.806 * [taylor]: Taking taylor expansion of 3 in x.im 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.806 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.806 * [taylor]: Taking taylor expansion of x.im in x.im 0.812 * [taylor]: Taking taylor expansion of 0 in x.im 0.817 * [taylor]: Taking taylor expansion of 0 in x.im 0.819 * * * [progress]: simplifying candidates 0.820 * [simplify]: Simplifying using # : (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) (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))) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) (* (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))) 0.823 * * [simplify]: iteration 0 : 126 enodes (cost 155 ) 0.827 * * [simplify]: iteration 1 : 595 enodes (cost 132 ) 0.841 * * [simplify]: iteration 2 : 2939 enodes (cost 132 ) 0.895 * * [simplify]: iteration 3 : 5001 enodes (cost 131 ) 0.897 * [simplify]: Simplified to: (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 (pow x.im 3/2)) (* x.re x.im) (pow x.im 2) (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))) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) (* (* x.re 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))) 0.897 * * * [progress]: adding candidates to table 0.968 * * [progress]: iteration 4 / 4 0.968 * * * [progress]: picking best candidate 0.985 * * * * [pick]: Picked # 0.985 * * * [progress]: localizing error 0.996 * * * [progress]: generating rewritten candidates 0.996 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.998 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 1.001 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 1.003 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.010 * * * [progress]: generating series expansions 1.010 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.010 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 1.010 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 1.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 1.010 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 1.010 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.010 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.010 * [taylor]: Taking taylor expansion of x.im in x.im 1.011 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 1.011 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 1.011 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 1.011 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.011 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.011 * [taylor]: Taking taylor expansion of x.im in x.im 1.059 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 1.059 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.059 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.059 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.059 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.059 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.059 * [taylor]: Taking taylor expansion of x.im in x.im 1.060 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.060 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.060 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.060 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.060 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.060 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.060 * [taylor]: Taking taylor expansion of x.im in x.im 1.114 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 1.114 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.114 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.114 * [taylor]: Taking taylor expansion of -1 in x.im 1.115 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.115 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.115 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.115 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.116 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.116 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.116 * [taylor]: Taking taylor expansion of x.im in x.im 1.117 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.117 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.117 * [taylor]: Taking taylor expansion of -1 in x.im 1.117 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.117 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.117 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.117 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.117 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.117 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.117 * [taylor]: Taking taylor expansion of x.im in x.im 1.182 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 1.182 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 1.182 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 1.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 1.182 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 1.182 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.182 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.182 * [taylor]: Taking taylor expansion of x.im in x.im 1.183 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 1.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 1.183 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 1.183 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.183 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.183 * [taylor]: Taking taylor expansion of x.im in x.im 1.233 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 1.233 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.233 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.233 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.233 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.233 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.233 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.233 * [taylor]: Taking taylor expansion of x.im in x.im 1.234 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.234 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.234 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.234 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.234 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.234 * [taylor]: Taking taylor expansion of x.im in x.im 1.286 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 1.286 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.286 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.286 * [taylor]: Taking taylor expansion of -1 in x.im 1.287 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.287 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.287 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.287 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.287 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.287 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.287 * [taylor]: Taking taylor expansion of x.im in x.im 1.288 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.288 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.288 * [taylor]: Taking taylor expansion of -1 in x.im 1.288 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.289 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.289 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.289 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.289 * [taylor]: Taking taylor expansion of x.im in x.im 1.355 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.355 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 1.355 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 1.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 1.355 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 1.355 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.355 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.355 * [taylor]: Taking taylor expansion of x.im in x.im 1.356 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 1.356 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 1.356 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 1.356 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.356 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.356 * [taylor]: Taking taylor expansion of x.im in x.im 1.409 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 1.409 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.409 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.409 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.409 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.409 * [taylor]: Taking taylor expansion of x.im in x.im 1.410 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.410 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.410 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.410 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.410 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.410 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.410 * [taylor]: Taking taylor expansion of x.im in x.im 1.467 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 1.467 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.467 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.467 * [taylor]: Taking taylor expansion of -1 in x.im 1.468 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.468 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.468 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.468 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.468 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.468 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.468 * [taylor]: Taking taylor expansion of x.im in x.im 1.469 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.469 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.469 * [taylor]: Taking taylor expansion of -1 in x.im 1.470 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.470 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.470 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.470 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.470 * [taylor]: Taking taylor expansion of x.im in x.im 1.537 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.537 * [approximate]: Taking taylor expansion of (pow (pow x.im 2) 1/3) in (x.im) around 0 1.537 * [taylor]: Taking taylor expansion of (pow (pow x.im 2) 1/3) in x.im 1.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x.im 2)))) in x.im 1.537 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x.im 2))) in x.im 1.537 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.537 * [taylor]: Taking taylor expansion of (log (pow x.im 2)) in x.im 1.537 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.537 * [taylor]: Taking taylor expansion of x.im in x.im 1.538 * [taylor]: Taking taylor expansion of (pow (pow x.im 2) 1/3) in x.im 1.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x.im 2)))) in x.im 1.538 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x.im 2))) in x.im 1.538 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.538 * [taylor]: Taking taylor expansion of (log (pow x.im 2)) in x.im 1.538 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.538 * [taylor]: Taking taylor expansion of x.im in x.im 1.590 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in (x.im) around 0 1.590 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.590 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.590 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.590 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.590 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.590 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.590 * [taylor]: Taking taylor expansion of x.im in x.im 1.591 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.591 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.591 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.591 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.591 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.591 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.592 * [taylor]: Taking taylor expansion of x.im in x.im 1.653 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x.im 2)) 1/3)) in (x.im) around 0 1.653 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x.im 2)) 1/3)) in x.im 1.653 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x.im 1.653 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.653 * [taylor]: Taking taylor expansion of -1 in x.im 1.654 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.654 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.654 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.654 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.654 * [taylor]: Taking taylor expansion of x.im in x.im 1.655 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x.im 2)) 1/3)) in x.im 1.655 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x.im 1.655 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.655 * [taylor]: Taking taylor expansion of -1 in x.im 1.656 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.656 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.656 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.656 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.656 * [taylor]: Taking taylor expansion of x.im in x.im 1.735 * * * [progress]: simplifying candidates 1.737 * [simplify]: Simplifying using # : (expm1 (cbrt x.im)) (log1p (cbrt x.im)) (log (cbrt x.im)) (exp (cbrt x.im)) (cbrt (* (cbrt x.im) (cbrt x.im))) (cbrt (cbrt x.im)) (cbrt (sqrt x.im)) (cbrt (sqrt x.im)) (cbrt 1) (cbrt x.im) (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im))) (cbrt (cbrt x.im)) (* (* (cbrt x.im) (cbrt x.im)) (cbrt x.im)) (sqrt (cbrt x.im)) (sqrt (cbrt x.im)) (expm1 (cbrt x.im)) (log1p (cbrt x.im)) (log (cbrt x.im)) (exp (cbrt x.im)) (cbrt (* (cbrt x.im) (cbrt x.im))) (cbrt (cbrt x.im)) (cbrt (sqrt x.im)) (cbrt (sqrt x.im)) (cbrt 1) (cbrt x.im) (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im))) (cbrt (cbrt x.im)) (* (* (cbrt x.im) (cbrt x.im)) (cbrt x.im)) (sqrt (cbrt x.im)) (sqrt (cbrt x.im)) (expm1 (cbrt x.im)) (log1p (cbrt x.im)) (log (cbrt x.im)) (exp (cbrt x.im)) (cbrt (* (cbrt x.im) (cbrt x.im))) (cbrt (cbrt x.im)) (cbrt (sqrt x.im)) (cbrt (sqrt x.im)) (cbrt 1) (cbrt x.im) (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im))) (cbrt (cbrt x.im)) (* (* (cbrt x.im) (cbrt x.im)) (cbrt x.im)) (sqrt (cbrt x.im)) (sqrt (cbrt x.im)) (expm1 (* (cbrt x.im) (cbrt x.im))) (log1p (* (cbrt x.im) (cbrt x.im))) (+ 1/3 1/3) (+ 1 1) (* x.im x.im) (* (cbrt x.im) (cbrt x.im)) (+ 1 1) (+ (log (cbrt x.im)) (log (cbrt x.im))) (log (* (cbrt x.im) (cbrt x.im))) (exp (* (cbrt x.im) (cbrt x.im))) (* x.im x.im) (* (cbrt (* (cbrt x.im) (cbrt x.im))) (cbrt (* (cbrt x.im) (cbrt x.im)))) (cbrt (* (cbrt x.im) (cbrt x.im))) (* (* (* (cbrt x.im) (cbrt x.im)) (* (cbrt x.im) (cbrt x.im))) (* (cbrt x.im) (cbrt x.im))) (sqrt (* (cbrt x.im) (cbrt x.im))) (sqrt (* (cbrt x.im) (cbrt x.im))) (* (cbrt (* (cbrt x.im) (cbrt x.im))) (cbrt (* (cbrt x.im) (cbrt x.im)))) (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im))) (* (cbrt (sqrt x.im)) (cbrt (sqrt x.im))) (* (cbrt (sqrt x.im)) (cbrt (sqrt x.im))) (* (cbrt 1) (cbrt 1)) (* (cbrt x.im) (cbrt x.im)) (* (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im))) (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im)))) (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im))) (* (sqrt (cbrt x.im)) (sqrt (cbrt x.im))) (* (sqrt (cbrt x.im)) (sqrt (cbrt x.im))) (* 1 1) (* (cbrt x.im) (cbrt x.im)) (* (cbrt (sqrt x.im)) (cbrt (sqrt x.im))) (* (cbrt (sqrt x.im)) (cbrt (sqrt x.im))) (* (cbrt (sqrt x.im)) (sqrt (cbrt x.im))) (* (cbrt (sqrt x.im)) (sqrt (cbrt x.im))) (* (sqrt (cbrt x.im)) (cbrt (sqrt x.im))) (* (sqrt (cbrt x.im)) (cbrt (sqrt x.im))) (* (sqrt (cbrt x.im)) (sqrt (cbrt x.im))) (* (sqrt (cbrt x.im)) (sqrt (cbrt x.im))) (* 2 1/3) (* 2 1) (* (cbrt x.im) (cbrt (* (cbrt x.im) (cbrt x.im)))) (* (cbrt x.im) (cbrt (sqrt x.im))) (* (cbrt x.im) (cbrt 1)) (* (cbrt x.im) (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im)))) (* (cbrt x.im) (sqrt (cbrt x.im))) (* (cbrt x.im) 1) (* (cbrt (cbrt x.im)) (cbrt x.im)) (* (cbrt (sqrt x.im)) (cbrt x.im)) (* (cbrt x.im) (cbrt x.im)) (* (cbrt (cbrt x.im)) (cbrt x.im)) (* (sqrt (cbrt x.im)) (cbrt x.im)) (* (cbrt x.im) (cbrt x.im)) (pow x.im 1/3) (pow (/ 1 x.im) -1/3) (* (pow (* -1 x.im) 1/3) (cbrt -1)) (pow x.im 1/3) (pow (/ 1 x.im) -1/3) (* (pow (* -1 x.im) 1/3) (cbrt -1)) (pow x.im 1/3) (pow (/ 1 x.im) -1/3) (* (pow (* -1 x.im) 1/3) (cbrt -1)) (pow x.im 2/3) (pow (/ 1 x.im) -2/3) (* (pow (cbrt -1) 2) (pow (pow x.im 2) 1/3)) 1.741 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.744 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.758 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.823 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.825 * [simplify]: Simplified to: (expm1 (cbrt x.im)) (log1p (cbrt x.im)) (log (cbrt x.im)) (exp (cbrt x.im)) (cbrt (* (cbrt x.im) (cbrt x.im))) (cbrt (cbrt x.im)) (cbrt (sqrt x.im)) (cbrt (sqrt x.im)) 1 (pow x.im 1/3) (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im))) (cbrt (cbrt x.im)) x.im (sqrt (cbrt x.im)) (sqrt (cbrt x.im)) (expm1 (cbrt x.im)) (log1p (cbrt x.im)) (log (cbrt x.im)) (exp (cbrt x.im)) (cbrt (* (cbrt x.im) (cbrt x.im))) (cbrt (cbrt x.im)) (cbrt (sqrt x.im)) (cbrt (sqrt x.im)) 1 (pow x.im 1/3) (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im))) (cbrt (cbrt x.im)) x.im (sqrt (cbrt x.im)) (sqrt (cbrt x.im)) (expm1 (cbrt x.im)) (log1p (cbrt x.im)) (log (cbrt x.im)) (exp (cbrt x.im)) (cbrt (* (cbrt x.im) (cbrt x.im))) (cbrt (cbrt x.im)) (cbrt (sqrt x.im)) (cbrt (sqrt x.im)) 1 (pow x.im 1/3) (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im))) (cbrt (cbrt x.im)) x.im (sqrt (cbrt x.im)) (sqrt (cbrt x.im)) (expm1 (* (cbrt x.im) (cbrt x.im))) (log1p (* (cbrt x.im) (cbrt x.im))) 2/3 2 (pow x.im 2) (pow x.im 2/3) 2 (* 2/3 (log x.im)) (* 2/3 (log x.im)) (exp (pow x.im 2/3)) (pow x.im 2) (* (cbrt (* (cbrt x.im) (cbrt x.im))) (cbrt (* (cbrt x.im) (cbrt x.im)))) (cbrt (* (cbrt x.im) (cbrt x.im))) (pow x.im 2) (fabs (pow x.im 1/3)) (fabs (pow x.im 1/3)) (* (cbrt (* (cbrt x.im) (cbrt x.im))) (cbrt (* (cbrt x.im) (cbrt x.im)))) (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im))) (* (cbrt (sqrt x.im)) (cbrt (sqrt x.im))) (* (cbrt (sqrt x.im)) (cbrt (sqrt x.im))) 1 (pow x.im 2/3) (pow (cbrt (cbrt x.im)) 4) (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im))) (pow x.im 1/3) (pow x.im 1/3) 1 (pow x.im 2/3) (* (cbrt (sqrt x.im)) (cbrt (sqrt x.im))) (* (cbrt (sqrt x.im)) (cbrt (sqrt x.im))) (* (cbrt (sqrt x.im)) (sqrt (cbrt x.im))) (* (cbrt (sqrt x.im)) (sqrt (cbrt x.im))) (* (cbrt (sqrt x.im)) (sqrt (cbrt x.im))) (* (cbrt (sqrt x.im)) (sqrt (cbrt x.im))) (pow x.im 1/3) (pow x.im 1/3) 2/3 2 (* (cbrt x.im) (cbrt (* (cbrt x.im) (cbrt x.im)))) (* (cbrt x.im) (cbrt (sqrt x.im))) (pow x.im 1/3) (pow (cbrt (cbrt x.im)) 5) (pow (sqrt (cbrt x.im)) 3) (pow x.im 1/3) (pow (cbrt (cbrt x.im)) 4) (* (cbrt x.im) (cbrt (sqrt x.im))) (pow x.im 2/3) (pow (cbrt (cbrt x.im)) 4) (pow (sqrt (cbrt x.im)) 3) (pow x.im 2/3) (pow x.im 1/3) (pow (/ 1 x.im) -1/3) (* (pow (* -1 x.im) 1/3) (cbrt -1)) (pow x.im 1/3) (pow (/ 1 x.im) -1/3) (* (pow (* -1 x.im) 1/3) (cbrt -1)) (pow x.im 1/3) (pow (/ 1 x.im) -1/3) (* (pow (* -1 x.im) 1/3) (cbrt -1)) (pow x.im 2/3) (pow (/ 1 x.im) -2/3) (* (pow (cbrt -1) 2) (pow (pow x.im 2) 1/3)) 1.826 * * * [progress]: adding candidates to table 2.092 * [progress]: [Phase 3 of 3] Extracting. 2.092 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.094 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 2.094 * * * * [regimes]: Trying to branch on x.im from (# # # # # # # # #) 2.127 * * * * [regimes]: Trying to branch on x.re from (# # # # # # # # #) 2.161 * * * [regime]: Found split indices: #