30.629 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.030 * * [simplify]: iteration 0 : 24 enodes (cost 9 ) 0.032 * * [simplify]: iteration 1 : 61 enodes (cost 9 ) 0.034 * * [simplify]: iteration 2 : 168 enodes (cost 8 ) 0.038 * * [simplify]: iteration 3 : 483 enodes (cost 6 ) 0.047 * * [simplify]: iteration 4 : 1418 enodes (cost 5 ) 0.071 * * [simplify]: iteration 5 : 3857 enodes (cost 5 ) 0.121 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.122 * [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 0.129 * * * * [pick]: Picked # 0.129 * * * [progress]: localizing error 0.137 * * * [progress]: generating rewritten candidates 0.137 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.142 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.143 * * * [progress]: generating series expansions 0.143 * * * * [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 0.144 * [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 0.145 * [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 0.150 * [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 0.161 * [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 0.162 * [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 0.164 * [taylor]: Taking taylor expansion of 0 in x.im 0.166 * [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 0.173 * [taylor]: Taking taylor expansion of x.im in x.im 0.173 * [taylor]: Taking taylor expansion of x.re in x.im 0.173 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.173 * [taylor]: Taking taylor expansion of x.re in x.im 0.173 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 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.re 0.173 * [taylor]: Taking taylor expansion of 3 in x.re 0.173 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.173 * [taylor]: Taking taylor expansion of -1 in x.re 0.173 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.173 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.173 * [taylor]: Taking taylor expansion of x.im in x.re 0.173 * [taylor]: Taking taylor expansion of x.re in x.re 0.173 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.173 * [taylor]: Taking taylor expansion of x.re in x.re 0.173 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 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.re 0.173 * [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 0 in x.im 0.179 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.179 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.179 * [taylor]: Taking taylor expansion of 3 in x.im 0.179 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.179 * [taylor]: Taking taylor expansion of x.im in x.im 0.181 * [taylor]: Taking taylor expansion of 0 in x.im 0.184 * [taylor]: Taking taylor expansion of 1 in x.im 0.189 * [taylor]: Taking taylor expansion of 0 in x.im 0.191 * [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 0.191 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.191 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.191 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.im 0.191 * [taylor]: Taking taylor expansion of 3 in x.im 0.191 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.191 * [taylor]: Taking taylor expansion of -1 in x.im 0.191 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.191 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.191 * [taylor]: Taking taylor expansion of x.im in x.im 0.191 * [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 0.192 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.192 * [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 0.193 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.193 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.193 * [taylor]: Taking taylor expansion of x.im in x.re 0.193 * [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 0.211 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.211 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.211 * [taylor]: Taking taylor expansion of -1 in x.im 0.211 * [taylor]: Taking taylor expansion of x.re in x.im 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 0.211 * [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 0.212 * [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 0.214 * [taylor]: Taking taylor expansion of -1 in x.im 0.215 * [taylor]: Taking taylor expansion of 0 in x.im 0.217 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.217 * [taylor]: Taking taylor expansion of 3 in x.im 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.217 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.217 * [taylor]: Taking taylor expansion of x.im in x.im 0.221 * [taylor]: Taking taylor expansion of 0 in x.im 0.226 * [taylor]: Taking taylor expansion of 0 in x.im 0.228 * * * [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 ) 0.236 * * [simplify]: iteration 1 : 707 enodes (cost 179 ) 0.256 * * [simplify]: iteration 2 : 4464 enodes (cost 174 ) 0.367 * * [simplify]: iteration 3 : 5001 enodes (cost 173 ) 0.368 * [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)) 0.368 * * * [progress]: adding candidates to table 0.455 * * [progress]: iteration 2 / 4 0.455 * * * [progress]: picking best candidate 0.471 * * * * [pick]: Picked # 0.471 * * * [progress]: localizing error 0.479 * * * [progress]: generating rewritten candidates 0.479 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.485 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.486 * * * [progress]: generating series expansions 0.486 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.486 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.486 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.486 * [taylor]: Taking taylor expansion of -1 in x.im 0.486 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.486 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.486 * [taylor]: Taking taylor expansion of x.im in x.im 0.486 * [taylor]: Taking taylor expansion of x.re in x.im 0.486 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.486 * [taylor]: Taking taylor expansion of -1 in x.re 0.486 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.486 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.487 * [taylor]: Taking taylor expansion of x.im in x.re 0.487 * [taylor]: Taking taylor expansion of x.re in x.re 0.487 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.487 * [taylor]: Taking taylor expansion of -1 in x.re 0.487 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.487 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.487 * [taylor]: Taking taylor expansion of x.im in x.re 0.487 * [taylor]: Taking taylor expansion of x.re in x.re 0.487 * [taylor]: Taking taylor expansion of 0 in x.im 0.488 * [taylor]: Taking taylor expansion of (- (pow x.im 2)) in x.im 0.488 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.488 * [taylor]: Taking taylor expansion of x.im in x.im 0.490 * [taylor]: Taking taylor expansion of 0 in x.im 0.492 * [taylor]: Taking taylor expansion of 0 in x.im 0.492 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.492 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.492 * [taylor]: Taking taylor expansion of -1 in x.im 0.492 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.492 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.492 * [taylor]: Taking taylor expansion of x.im in x.im 0.492 * [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 0.493 * [taylor]: Taking taylor expansion of x.re in x.re 0.494 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.494 * [taylor]: Taking taylor expansion of -1 in x.im 0.494 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.494 * [taylor]: Taking taylor expansion of x.im in x.im 0.496 * [taylor]: Taking taylor expansion of 0 in x.im 0.498 * [taylor]: Taking taylor expansion of 0 in x.im 0.500 * [taylor]: Taking taylor expansion of 0 in x.im 0.503 * [taylor]: Taking taylor expansion of 0 in x.im 0.504 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.504 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.504 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.504 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.504 * [taylor]: Taking taylor expansion of x.im in x.im 0.504 * [taylor]: Taking taylor expansion of x.re in x.im 0.504 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.504 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.504 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.504 * [taylor]: Taking taylor expansion of x.im in x.re 0.504 * [taylor]: Taking taylor expansion of x.re in x.re 0.505 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.505 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.505 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.505 * [taylor]: Taking taylor expansion of x.im in x.re 0.505 * [taylor]: Taking taylor expansion of x.re in x.re 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.505 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.505 * [taylor]: Taking taylor expansion of x.im in x.im 0.507 * [taylor]: Taking taylor expansion of 0 in x.im 0.509 * [taylor]: Taking taylor expansion of 0 in x.im 0.511 * [taylor]: Taking taylor expansion of 0 in x.im 0.514 * [taylor]: Taking taylor expansion of 0 in x.im 0.514 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.514 * [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 0.514 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.im 0.515 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.515 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.im 0.515 * [taylor]: Taking taylor expansion of 3 in x.im 0.515 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.515 * [taylor]: Taking taylor expansion of -1 in x.im 0.515 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) 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 0.515 * [taylor]: Taking taylor expansion of x.re in x.im 0.515 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.515 * [taylor]: Taking taylor expansion of x.re in x.im 0.515 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.515 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.515 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.515 * [taylor]: Taking taylor expansion of 3 in x.re 0.515 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.515 * [taylor]: Taking taylor expansion of -1 in x.re 0.515 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.515 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.515 * [taylor]: Taking taylor expansion of x.im in x.re 0.515 * [taylor]: Taking taylor expansion of x.re in x.re 0.515 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.515 * [taylor]: Taking taylor expansion of x.re in x.re 0.515 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.515 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.515 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.515 * [taylor]: Taking taylor expansion of 3 in x.re 0.515 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.515 * [taylor]: Taking taylor expansion of -1 in x.re 0.515 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.515 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.515 * [taylor]: Taking taylor expansion of x.im in x.re 0.515 * [taylor]: Taking taylor expansion of x.re in x.re 0.515 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.515 * [taylor]: Taking taylor expansion of x.re in x.re 0.516 * [taylor]: Taking taylor expansion of 0 in x.im 0.517 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.517 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.517 * [taylor]: Taking taylor expansion of 3 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 0.520 * [taylor]: Taking taylor expansion of 0 in x.im 0.523 * [taylor]: Taking taylor expansion of 1 in x.im 0.528 * [taylor]: Taking taylor expansion of 0 in x.im 0.532 * [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 0.532 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.532 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.533 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.im 0.533 * [taylor]: Taking taylor expansion of 3 in x.im 0.533 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.533 * [taylor]: Taking taylor expansion of -1 in x.im 0.533 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.533 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.533 * [taylor]: Taking taylor expansion of x.im in x.im 0.533 * [taylor]: Taking taylor expansion of x.re in x.im 0.533 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 0.533 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.533 * [taylor]: Taking taylor expansion of x.re in x.im 0.533 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.533 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.533 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.533 * [taylor]: Taking taylor expansion of 3 in x.re 0.533 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.533 * [taylor]: Taking taylor expansion of -1 in x.re 0.533 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.533 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.533 * [taylor]: Taking taylor expansion of x.im in x.re 0.533 * [taylor]: Taking taylor expansion of x.re in x.re 0.534 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.534 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.534 * [taylor]: Taking taylor expansion of x.re in x.re 0.534 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.534 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.534 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.534 * [taylor]: Taking taylor expansion of 3 in x.re 0.534 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.534 * [taylor]: Taking taylor expansion of -1 in x.re 0.534 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.534 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.534 * [taylor]: Taking taylor expansion of x.im in x.re 0.534 * [taylor]: Taking taylor expansion of x.re in x.re 0.535 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.535 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.535 * [taylor]: Taking taylor expansion of x.re in x.re 0.536 * [taylor]: Taking taylor expansion of 1 in x.im 0.537 * [taylor]: Taking taylor expansion of 0 in x.im 0.539 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.539 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) 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)) in x.im 0.539 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.539 * [taylor]: Taking taylor expansion of x.im in x.im 0.543 * [taylor]: Taking taylor expansion of 0 in x.im 0.548 * [taylor]: Taking taylor expansion of 0 in x.im 0.551 * [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 0.551 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.im 0.551 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.551 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.551 * [taylor]: Taking taylor expansion of 3 in x.im 0.551 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.551 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.551 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.551 * [taylor]: Taking taylor expansion of x.im in x.im 0.551 * [taylor]: Taking taylor expansion of x.re in x.im 0.551 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.551 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.551 * [taylor]: Taking taylor expansion of -1 in x.im 0.551 * [taylor]: Taking taylor expansion of x.re in x.im 0.551 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.552 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.552 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.552 * [taylor]: Taking taylor expansion of 3 in x.re 0.552 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.552 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.552 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.552 * [taylor]: Taking taylor expansion of x.im in x.re 0.552 * [taylor]: Taking taylor expansion of x.re in x.re 0.552 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.552 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.552 * [taylor]: Taking taylor expansion of -1 in x.re 0.552 * [taylor]: Taking taylor expansion of x.re in x.re 0.553 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.553 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.553 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.553 * [taylor]: Taking taylor expansion of 3 in x.re 0.553 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.553 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.553 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.553 * [taylor]: Taking taylor expansion of x.im in x.re 0.553 * [taylor]: Taking taylor expansion of x.re in x.re 0.554 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.554 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.554 * [taylor]: Taking taylor expansion of -1 in x.re 0.554 * [taylor]: Taking taylor expansion of x.re in x.re 0.555 * [taylor]: Taking taylor expansion of -1 in x.im 0.556 * [taylor]: Taking taylor expansion of 0 in x.im 0.558 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) 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)) 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 0.562 * [taylor]: Taking taylor expansion of 0 in x.im 0.567 * [taylor]: Taking taylor expansion of 0 in x.im 0.569 * * * [progress]: simplifying candidates 0.570 * [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.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))) 0.574 * * [simplify]: iteration 0 : 151 enodes (cost 193 ) 0.578 * * [simplify]: iteration 1 : 780 enodes (cost 168 ) 0.601 * * [simplify]: iteration 2 : 5001 enodes (cost 167 ) 0.603 * [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 (* (* 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) (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)) (- (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))) 0.603 * * * [progress]: adding candidates to table 0.670 * * [progress]: iteration 3 / 4 0.670 * * * [progress]: picking best candidate 0.691 * * * * [pick]: Picked # 0.691 * * * [progress]: localizing error 0.707 * * * [progress]: generating rewritten candidates 0.707 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.709 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.710 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 0.711 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.719 * * * [progress]: generating series expansions 0.719 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.719 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 0.719 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 0.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 0.719 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 0.719 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.719 * [taylor]: Taking taylor expansion of (log x.im) in x.im 0.719 * [taylor]: Taking taylor expansion of x.im in x.im 0.720 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 0.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 0.720 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 0.720 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.720 * [taylor]: Taking taylor expansion of (log x.im) in x.im 0.720 * [taylor]: Taking taylor expansion of x.im in x.im 0.768 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 0.768 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.768 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.768 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.768 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.768 * [taylor]: Taking taylor expansion of x.im in x.im 0.769 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.769 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.769 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.769 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.769 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.769 * [taylor]: Taking taylor expansion of x.im in x.im 0.823 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 0.823 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 0.823 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 0.823 * [taylor]: Taking taylor expansion of -1 in x.im 0.824 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.824 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.824 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.824 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.824 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.824 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.824 * [taylor]: Taking taylor expansion of x.im in x.im 0.825 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 0.825 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 0.825 * [taylor]: Taking taylor expansion of -1 in x.im 0.826 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.826 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.826 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.826 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.826 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.826 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.826 * [taylor]: Taking taylor expansion of x.im in x.im 0.891 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.891 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 0.891 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 0.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 0.891 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 0.891 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.891 * [taylor]: Taking taylor expansion of (log x.im) in x.im 0.891 * [taylor]: Taking taylor expansion of x.im in x.im 0.892 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 0.892 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 0.892 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 0.892 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.892 * [taylor]: Taking taylor expansion of (log x.im) in x.im 0.892 * [taylor]: Taking taylor expansion of x.im in x.im 0.943 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 0.943 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.943 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.943 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.944 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.944 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.944 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.944 * [taylor]: Taking taylor expansion of x.im in x.im 0.945 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.945 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.945 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.945 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.945 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.945 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.945 * [taylor]: Taking taylor expansion of x.im in x.im 0.996 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 0.996 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 0.996 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 0.996 * [taylor]: Taking taylor expansion of -1 in x.im 0.996 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.996 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.996 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.996 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.996 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.996 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.996 * [taylor]: Taking taylor expansion of x.im in x.im 0.997 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 0.997 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 0.997 * [taylor]: Taking taylor expansion of -1 in x.im 0.998 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.998 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.998 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.998 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.998 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.998 * [taylor]: Taking taylor expansion of x.im in x.im 1.067 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.067 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 1.067 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 1.067 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 1.067 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 1.067 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.067 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.067 * [taylor]: Taking taylor expansion of x.im in x.im 1.067 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 1.067 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 1.067 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 1.067 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.067 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.068 * [taylor]: Taking taylor expansion of x.im in x.im 1.122 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 1.122 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.122 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.122 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.122 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.122 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.122 * [taylor]: Taking taylor expansion of x.im in x.im 1.123 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.123 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.123 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.123 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.123 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.123 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.123 * [taylor]: Taking taylor expansion of x.im in x.im 1.180 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 1.180 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.180 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.180 * [taylor]: Taking taylor expansion of -1 in x.im 1.181 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.181 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.181 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.181 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.181 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.181 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.181 * [taylor]: Taking taylor expansion of x.im in x.im 1.182 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.182 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.182 * [taylor]: Taking taylor expansion of -1 in x.im 1.183 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 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 (/ 1 x.im)) in x.im 1.183 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.183 * [taylor]: Taking taylor expansion of x.im in x.im 1.251 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.251 * [approximate]: Taking taylor expansion of (pow (pow x.im 2) 1/3) in (x.im) around 0 1.252 * [taylor]: Taking taylor expansion of (pow (pow x.im 2) 1/3) in x.im 1.252 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x.im 2)))) in x.im 1.252 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x.im 2))) in x.im 1.252 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.252 * [taylor]: Taking taylor expansion of (log (pow x.im 2)) in x.im 1.252 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.252 * [taylor]: Taking taylor expansion of x.im in x.im 1.253 * [taylor]: Taking taylor expansion of (pow (pow x.im 2) 1/3) in x.im 1.253 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x.im 2)))) in x.im 1.253 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x.im 2))) in x.im 1.253 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.253 * [taylor]: Taking taylor expansion of (log (pow x.im 2)) in x.im 1.253 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.253 * [taylor]: Taking taylor expansion of x.im in x.im 1.305 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in (x.im) around 0 1.305 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.305 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.305 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.305 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.305 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.305 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.305 * [taylor]: Taking taylor expansion of x.im in x.im 1.306 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.306 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.306 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.306 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.306 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.306 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.306 * [taylor]: Taking taylor expansion of x.im in x.im 1.367 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x.im 2)) 1/3)) in (x.im) around 0 1.368 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x.im 2)) 1/3)) in x.im 1.368 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x.im 1.368 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.368 * [taylor]: Taking taylor expansion of -1 in x.im 1.368 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.368 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.368 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.368 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.368 * [taylor]: Taking taylor expansion of x.im in x.im 1.370 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x.im 2)) 1/3)) in x.im 1.370 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x.im 1.370 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.370 * [taylor]: Taking taylor expansion of -1 in x.im 1.370 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.370 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.370 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.370 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.370 * [taylor]: Taking taylor expansion of x.im in x.im 1.448 * * * [progress]: simplifying candidates 1.449 * [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)) 1.453 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.457 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.472 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.537 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.539 * [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)) 1.540 * * * [progress]: adding candidates to table 1.769 * * [progress]: iteration 4 / 4 1.769 * * * [progress]: picking best candidate 1.789 * * * * [pick]: Picked # 1.789 * * * [progress]: localizing error 1.807 * * * [progress]: generating rewritten candidates 1.807 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2) 1.809 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1) 1.813 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.814 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2 1) 1.816 * * * [progress]: generating series expansions 1.816 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2) 1.816 * [approximate]: Taking taylor expansion of (pow x.im 1/9) in (x.im) around 0 1.816 * [taylor]: Taking taylor expansion of (pow x.im 1/9) in x.im 1.816 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x.im))) in x.im 1.816 * [taylor]: Taking taylor expansion of (* 1/9 (log x.im)) in x.im 1.816 * [taylor]: Taking taylor expansion of 1/9 in x.im 1.816 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.816 * [taylor]: Taking taylor expansion of x.im in x.im 1.817 * [taylor]: Taking taylor expansion of (pow x.im 1/9) in x.im 1.817 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x.im))) in x.im 1.817 * [taylor]: Taking taylor expansion of (* 1/9 (log x.im)) in x.im 1.817 * [taylor]: Taking taylor expansion of 1/9 in x.im 1.817 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.817 * [taylor]: Taking taylor expansion of x.im in x.im 1.869 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in (x.im) around 0 1.869 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in x.im 1.869 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x.im)))) in x.im 1.869 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x.im))) in x.im 1.869 * [taylor]: Taking taylor expansion of 1/9 in x.im 1.869 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.869 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.869 * [taylor]: Taking taylor expansion of x.im in x.im 1.870 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in x.im 1.870 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x.im)))) in x.im 1.870 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x.im))) in x.im 1.870 * [taylor]: Taking taylor expansion of 1/9 in x.im 1.870 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.870 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.870 * [taylor]: Taking taylor expansion of x.im in x.im 1.928 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x.im) 1/9)) in (x.im) around 0 1.928 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x.im) 1/9)) in x.im 1.928 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x.im 1.928 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x.im 1.928 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x.im 1.928 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.928 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x.im 1.928 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.928 * [taylor]: Taking taylor expansion of -1 in x.im 1.931 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in x.im 1.931 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x.im)))) in x.im 1.931 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x.im))) in x.im 1.931 * [taylor]: Taking taylor expansion of 1/9 in x.im 1.932 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.932 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.932 * [taylor]: Taking taylor expansion of x.im in x.im 1.932 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x.im) 1/9)) in x.im 1.932 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x.im 1.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x.im 1.932 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x.im 1.932 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.932 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x.im 1.932 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.933 * [taylor]: Taking taylor expansion of -1 in x.im 1.936 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in x.im 1.936 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x.im)))) in x.im 1.936 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x.im))) in x.im 1.936 * [taylor]: Taking taylor expansion of 1/9 in x.im 1.936 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.936 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.936 * [taylor]: Taking taylor expansion of x.im in x.im 2.063 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1) 2.063 * [approximate]: Taking taylor expansion of (pow (pow x.im 2) 1/9) in (x.im) around 0 2.063 * [taylor]: Taking taylor expansion of (pow (pow x.im 2) 1/9) in x.im 2.063 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow x.im 2)))) in x.im 2.063 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow x.im 2))) in x.im 2.063 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.063 * [taylor]: Taking taylor expansion of (log (pow x.im 2)) in x.im 2.063 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.063 * [taylor]: Taking taylor expansion of x.im in x.im 2.064 * [taylor]: Taking taylor expansion of (pow (pow x.im 2) 1/9) in x.im 2.064 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow x.im 2)))) in x.im 2.064 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow x.im 2))) in x.im 2.064 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.064 * [taylor]: Taking taylor expansion of (log (pow x.im 2)) in x.im 2.064 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.064 * [taylor]: Taking taylor expansion of x.im in x.im 2.114 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/9) in (x.im) around 0 2.115 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/9) in x.im 2.115 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow x.im 2))))) in x.im 2.115 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow x.im 2)))) in x.im 2.115 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.115 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 2.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 2.115 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.115 * [taylor]: Taking taylor expansion of x.im in x.im 2.116 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/9) in x.im 2.116 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow x.im 2))))) in x.im 2.116 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow x.im 2)))) in x.im 2.116 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.116 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 2.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 2.116 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.116 * [taylor]: Taking taylor expansion of x.im in x.im 2.177 * [approximate]: Taking taylor expansion of (* (pow (pow (cbrt -1) 2) 1/3) (pow (/ 1 (pow x.im 2)) 1/9)) in (x.im) around 0 2.177 * [taylor]: Taking taylor expansion of (* (pow (pow (cbrt -1) 2) 1/3) (pow (/ 1 (pow x.im 2)) 1/9)) in x.im 2.177 * [taylor]: Taking taylor expansion of (pow (pow (cbrt -1) 2) 1/3) in x.im 2.177 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cbrt -1) 2)))) in x.im 2.177 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cbrt -1) 2))) in x.im 2.177 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.177 * [taylor]: Taking taylor expansion of (log (pow (cbrt -1) 2)) in x.im 2.177 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x.im 2.177 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.177 * [taylor]: Taking taylor expansion of -1 in x.im 2.183 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/9) in x.im 2.183 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow x.im 2))))) in x.im 2.183 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow x.im 2)))) in x.im 2.183 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.183 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 2.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 2.183 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.183 * [taylor]: Taking taylor expansion of x.im in x.im 2.184 * [taylor]: Taking taylor expansion of (* (pow (pow (cbrt -1) 2) 1/3) (pow (/ 1 (pow x.im 2)) 1/9)) in x.im 2.184 * [taylor]: Taking taylor expansion of (pow (pow (cbrt -1) 2) 1/3) in x.im 2.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cbrt -1) 2)))) in x.im 2.184 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cbrt -1) 2))) in x.im 2.184 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.184 * [taylor]: Taking taylor expansion of (log (pow (cbrt -1) 2)) in x.im 2.184 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x.im 2.184 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.184 * [taylor]: Taking taylor expansion of -1 in x.im 2.190 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/9) in x.im 2.191 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow x.im 2))))) in x.im 2.191 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow x.im 2)))) in x.im 2.191 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.191 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 2.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 2.191 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.191 * [taylor]: Taking taylor expansion of x.im in x.im 2.328 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 2.328 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 2.328 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.328 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.328 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.328 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.328 * [taylor]: Taking taylor expansion of x.im in x.im 2.329 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.329 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.329 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.329 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.329 * [taylor]: Taking taylor expansion of x.im in x.im 2.383 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 2.383 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.383 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.383 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.383 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.383 * [taylor]: Taking taylor expansion of x.im in x.im 2.384 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.384 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.384 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.384 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.384 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.384 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.384 * [taylor]: Taking taylor expansion of x.im in x.im 2.442 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 2.442 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.442 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.442 * [taylor]: Taking taylor expansion of -1 in x.im 2.443 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.443 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.443 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.443 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.443 * [taylor]: Taking taylor expansion of x.im in x.im 2.444 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.444 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.444 * [taylor]: Taking taylor expansion of -1 in x.im 2.445 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.445 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.445 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.445 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.445 * [taylor]: Taking taylor expansion of x.im in x.im 2.506 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2 1) 2.506 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 2.506 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.506 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.506 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.506 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.506 * [taylor]: Taking taylor expansion of x.im in x.im 2.507 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.507 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.507 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.507 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.507 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.507 * [taylor]: Taking taylor expansion of x.im in x.im 2.560 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 2.560 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.560 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.560 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.560 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.560 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.560 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.560 * [taylor]: Taking taylor expansion of x.im in x.im 2.561 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.561 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.561 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.561 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.561 * [taylor]: Taking taylor expansion of x.im in x.im 2.618 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 2.619 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.619 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.619 * [taylor]: Taking taylor expansion of -1 in x.im 2.619 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.619 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.619 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.619 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.619 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.619 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.619 * [taylor]: Taking taylor expansion of x.im in x.im 2.620 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.620 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.620 * [taylor]: Taking taylor expansion of -1 in x.im 2.621 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.621 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.621 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.621 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.621 * [taylor]: Taking taylor expansion of x.im in x.im 2.688 * * * [progress]: simplifying candidates 2.689 * [simplify]: Simplifying using # : (expm1 (cbrt (cbrt x.im))) (log1p (cbrt (cbrt x.im))) (log (cbrt (cbrt x.im))) (exp (cbrt (cbrt x.im))) (cbrt (cbrt (* (cbrt x.im) (cbrt x.im)))) (cbrt (cbrt (cbrt x.im))) (cbrt (cbrt (sqrt x.im))) (cbrt (cbrt (sqrt x.im))) (cbrt (cbrt 1)) (cbrt (cbrt x.im)) (cbrt (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im)))) (cbrt (cbrt (cbrt x.im))) (cbrt (sqrt (cbrt x.im))) (cbrt (sqrt (cbrt x.im))) (cbrt 1) (cbrt (cbrt x.im)) (* (cbrt (cbrt (cbrt x.im))) (cbrt (cbrt (cbrt x.im)))) (cbrt (cbrt (cbrt x.im))) (* (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im))) (cbrt (cbrt x.im))) (sqrt (cbrt (cbrt x.im))) (sqrt (cbrt (cbrt x.im))) (expm1 (cbrt (* (cbrt x.im) (cbrt x.im)))) (log1p (cbrt (* (cbrt x.im) (cbrt x.im)))) (log (cbrt (* (cbrt x.im) (cbrt x.im)))) (exp (cbrt (* (cbrt x.im) (cbrt x.im)))) (cbrt (cbrt x.im)) (cbrt (cbrt x.im)) (* (cbrt (cbrt (* (cbrt x.im) (cbrt x.im)))) (cbrt (cbrt (* (cbrt x.im) (cbrt x.im))))) (cbrt (cbrt (* (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 x.im)))) (sqrt (cbrt (* (cbrt x.im) (cbrt x.im)))) (sqrt (cbrt (* (cbrt x.im) (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)) (pow x.im 1/9) (pow (/ 1 x.im) -1/9) (* (pow (* -1 x.im) 1/9) (pow (cbrt -1) 1/3)) (pow x.im 2/9) (pow (/ 1 x.im) -2/9) (* (pow (pow (cbrt -1) 2) 1/3) (pow (pow x.im 2) 1/9)) (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)) 2.693 * * [simplify]: iteration 0 : 112 enodes (cost 239 ) 2.696 * * [simplify]: iteration 1 : 242 enodes (cost 219 ) 2.700 * * [simplify]: iteration 2 : 759 enodes (cost 209 ) 2.717 * * [simplify]: iteration 3 : 3150 enodes (cost 209 ) 2.792 * * [simplify]: iteration 4 : 5001 enodes (cost 204 ) 2.794 * [simplify]: Simplified to: (expm1 (cbrt (cbrt x.im))) (log1p (cbrt (cbrt x.im))) (log (cbrt (cbrt x.im))) (exp (cbrt (cbrt x.im))) (cbrt (cbrt (* (cbrt x.im) (cbrt x.im)))) (cbrt (cbrt (cbrt x.im))) (cbrt (cbrt (sqrt x.im))) (cbrt (cbrt (sqrt x.im))) 1 (cbrt (cbrt x.im)) (cbrt (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im)))) (cbrt (cbrt (cbrt x.im))) (cbrt (sqrt (cbrt x.im))) (cbrt (sqrt (cbrt x.im))) 1 (cbrt (cbrt x.im)) (* (cbrt (cbrt (cbrt x.im))) (cbrt (cbrt (cbrt x.im)))) (cbrt (cbrt (cbrt x.im))) (pow x.im 1/3) (sqrt (cbrt (cbrt x.im))) (sqrt (cbrt (cbrt x.im))) (expm1 (cbrt (* (cbrt x.im) (cbrt x.im)))) (log1p (cbrt (* (cbrt x.im) (cbrt x.im)))) (log (cbrt (* (cbrt x.im) (cbrt x.im)))) (exp (cbrt (* (cbrt x.im) (cbrt x.im)))) (cbrt (cbrt x.im)) (cbrt (cbrt x.im)) (* (cbrt (cbrt (* (cbrt x.im) (cbrt x.im)))) (cbrt (cbrt (* (cbrt x.im) (cbrt x.im))))) (cbrt (cbrt (* (cbrt x.im) (cbrt x.im)))) (pow x.im 2/3) (sqrt (cbrt (* (cbrt x.im) (cbrt x.im)))) (sqrt (cbrt (* (cbrt x.im) (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)) (pow x.im 1/9) (pow (/ 1 x.im) -1/9) (* (pow (* -1 x.im) 1/9) (pow (cbrt -1) 1/3)) (pow x.im 2/9) (pow (/ 1 x.im) -2/9) (* (pow (pow (cbrt -1) 2) 1/3) (pow (pow x.im 2) 1/9)) (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)) 2.794 * * * [progress]: adding candidates to table 3.008 * [progress]: [Phase 3 of 3] Extracting. 3.008 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 3.010 * * * [regime-changes]: Trying 3 branch expressions: ((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) x.im x.re) 3.010 * * * * [regimes]: Trying to branch on (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) from (# # # # # # # # # #) 3.048 * * * * [regimes]: Trying to branch on x.im from (# # # # # # # # # #) 3.083 * * * * [regimes]: Trying to branch on x.re from (# # # # # # # # # #) 3.119 * * * [regime]: Found split indices: #