2.037 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [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 ) 0.037 * * [simplify]: iteration 3 : 483 enodes (cost 6 ) 0.047 * * [simplify]: iteration 4 : 1418 enodes (cost 5 ) 0.070 * * [simplify]: iteration 5 : 3857 enodes (cost 5 ) 0.119 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.120 * [simplify]: Simplified to: (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3)) 0.123 * * [progress]: iteration 1 / 4 0.123 * * * [progress]: picking best candidate 0.126 * * * * [pick]: Picked # 0.126 * * * [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) 0.143 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.143 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.143 * [taylor]: Taking taylor expansion of -1 in x.im 0.143 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.143 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.143 * [taylor]: Taking taylor expansion of x.im in x.im 0.143 * [taylor]: Taking taylor expansion of x.re in x.im 0.143 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.143 * [taylor]: Taking taylor expansion of -1 in x.re 0.143 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.143 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.143 * [taylor]: Taking taylor expansion of x.im in x.re 0.143 * [taylor]: Taking taylor expansion of x.re in x.re 0.143 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.143 * [taylor]: Taking taylor expansion of -1 in x.re 0.143 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.143 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.143 * [taylor]: Taking taylor expansion of x.im in x.re 0.143 * [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 0.149 * [taylor]: Taking taylor expansion of 0 in x.im 0.149 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.149 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.149 * [taylor]: Taking taylor expansion of -1 in x.im 0.149 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.149 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.149 * [taylor]: Taking taylor expansion of x.im in x.im 0.149 * [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 0.150 * [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)) in x.im 0.151 * [taylor]: Taking taylor expansion of -1 in x.im 0.151 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.151 * [taylor]: Taking taylor expansion of x.im in x.im 0.152 * [taylor]: Taking taylor expansion of 0 in x.im 0.154 * [taylor]: Taking taylor expansion of 0 in x.im 0.157 * [taylor]: Taking taylor expansion of 0 in x.im 0.160 * [taylor]: Taking taylor expansion of 0 in x.im 0.160 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.160 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.160 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.160 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.161 * [taylor]: Taking taylor expansion of x.im in x.im 0.161 * [taylor]: Taking taylor expansion of x.re in x.im 0.161 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.161 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.161 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.161 * [taylor]: Taking taylor expansion of x.im in x.re 0.161 * [taylor]: Taking taylor expansion of x.re in x.re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.161 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.161 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.161 * [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)) 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 0.164 * [taylor]: Taking taylor expansion of 0 in x.im 0.166 * [taylor]: Taking taylor expansion of 0 in x.im 0.168 * [taylor]: Taking taylor expansion of 0 in x.im 0.171 * [taylor]: Taking taylor expansion of 0 in x.im 0.171 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.171 * [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 0.171 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.im 0.172 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.172 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.im 0.172 * [taylor]: Taking taylor expansion of 3 in x.im 0.172 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.172 * [taylor]: Taking taylor expansion of -1 in x.im 0.172 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.172 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.172 * [taylor]: Taking taylor expansion of x.im in x.im 0.172 * [taylor]: Taking taylor expansion of x.re in x.im 0.172 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.172 * [taylor]: Taking taylor expansion of x.re in x.im 0.172 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.172 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.172 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.172 * [taylor]: Taking taylor expansion of 3 in x.re 0.172 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.172 * [taylor]: Taking taylor expansion of -1 in x.re 0.172 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.172 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.172 * [taylor]: Taking taylor expansion of x.im in x.re 0.172 * [taylor]: Taking taylor expansion of x.re in x.re 0.172 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.172 * [taylor]: Taking taylor expansion of x.re in x.re 0.172 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.172 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.172 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.172 * [taylor]: Taking taylor expansion of 3 in x.re 0.172 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.172 * [taylor]: Taking taylor expansion of -1 in x.re 0.172 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.172 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.172 * [taylor]: Taking taylor expansion of x.im in x.re 0.172 * [taylor]: Taking taylor expansion of x.re in x.re 0.172 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.172 * [taylor]: Taking taylor expansion of x.re in x.re 0.173 * [taylor]: Taking taylor expansion of 0 in x.im 0.174 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.174 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.174 * [taylor]: Taking taylor expansion of 3 in x.im 0.174 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.174 * [taylor]: Taking taylor expansion of x.im in x.im 0.176 * [taylor]: Taking taylor expansion of 0 in x.im 0.180 * [taylor]: Taking taylor expansion of 1 in x.im 0.185 * [taylor]: Taking taylor expansion of 0 in x.im 0.186 * [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 0.186 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.186 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.186 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.im 0.186 * [taylor]: Taking taylor expansion of 3 in x.im 0.186 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.186 * [taylor]: Taking taylor expansion of -1 in x.im 0.186 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.186 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.186 * [taylor]: Taking taylor expansion of x.im in x.im 0.186 * [taylor]: Taking taylor expansion of x.re in x.im 0.187 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 0.187 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.187 * [taylor]: Taking taylor expansion of x.re in x.im 0.187 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.187 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.187 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.187 * [taylor]: Taking taylor expansion of 3 in x.re 0.187 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.187 * [taylor]: Taking taylor expansion of -1 in x.re 0.187 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.187 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.187 * [taylor]: Taking taylor expansion of x.im in x.re 0.187 * [taylor]: Taking taylor expansion of x.re in x.re 0.188 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.188 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.188 * [taylor]: Taking taylor expansion of x.re in x.re 0.188 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.188 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.188 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.188 * [taylor]: Taking taylor expansion of 3 in x.re 0.188 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.188 * [taylor]: Taking taylor expansion of -1 in x.re 0.188 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.188 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.188 * [taylor]: Taking taylor expansion of x.im in x.re 0.188 * [taylor]: Taking taylor expansion of x.re in x.re 0.189 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.189 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.189 * [taylor]: Taking taylor expansion of x.re in x.re 0.190 * [taylor]: Taking taylor expansion of 1 in x.im 0.191 * [taylor]: Taking taylor expansion of 0 in x.im 0.193 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.193 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.193 * [taylor]: Taking taylor expansion of 3 in x.im 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.193 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.193 * [taylor]: Taking taylor expansion of x.im in x.im 0.197 * [taylor]: Taking taylor expansion of 0 in x.im 0.202 * [taylor]: Taking taylor expansion of 0 in x.im 0.204 * [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 0.204 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.im 0.204 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.204 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.204 * [taylor]: Taking taylor expansion of 3 in x.im 0.204 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.204 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.204 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.204 * [taylor]: Taking taylor expansion of x.im in x.im 0.204 * [taylor]: Taking taylor expansion of x.re in x.im 0.205 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.205 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.205 * [taylor]: Taking taylor expansion of -1 in x.im 0.205 * [taylor]: Taking taylor expansion of x.re in x.im 0.205 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.205 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.205 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.205 * [taylor]: Taking taylor expansion of 3 in x.re 0.205 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.205 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.205 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.205 * [taylor]: Taking taylor expansion of x.im in x.re 0.205 * [taylor]: Taking taylor expansion of x.re in x.re 0.206 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.206 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.206 * [taylor]: Taking taylor expansion of -1 in x.re 0.206 * [taylor]: Taking taylor expansion of x.re in x.re 0.206 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.206 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.206 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.206 * [taylor]: Taking taylor expansion of 3 in x.re 0.206 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.206 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.206 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.206 * [taylor]: Taking taylor expansion of x.im in x.re 0.206 * [taylor]: Taking taylor expansion of x.re in x.re 0.207 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.207 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.207 * [taylor]: Taking taylor expansion of -1 in x.re 0.207 * [taylor]: Taking taylor expansion of x.re in x.re 0.208 * [taylor]: Taking taylor expansion of -1 in x.im 0.209 * [taylor]: Taking taylor expansion of 0 in x.im 0.211 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.211 * [taylor]: Taking taylor expansion of 3 in x.im 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.211 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.211 * [taylor]: Taking taylor expansion of x.im in x.im 0.220 * [taylor]: Taking taylor expansion of 0 in x.im 0.225 * [taylor]: Taking taylor expansion of 0 in x.im 0.227 * * * [progress]: simplifying candidates 0.228 * [simplify]: Simplifying using # : (expm1 (* x.re (- (* x.im x.im)))) (log1p (* x.re (- (* x.im x.im)))) (* x.re (- (* x.im x.im))) (+ (log x.re) (log (- (* x.im x.im)))) (log (* x.re (- (* x.im x.im)))) (exp (* x.re (- (* x.im x.im)))) (* (* (* x.re x.re) x.re) (* (* (- (* x.im x.im)) (- (* x.im x.im))) (- (* x.im x.im)))) (* (cbrt (* x.re (- (* x.im x.im)))) (cbrt (* x.re (- (* x.im x.im))))) (cbrt (* x.re (- (* x.im x.im)))) (* (* (* x.re (- (* x.im x.im))) (* x.re (- (* x.im x.im)))) (* x.re (- (* x.im x.im)))) (sqrt (* x.re (- (* x.im x.im)))) (sqrt (* x.re (- (* x.im x.im)))) (* (sqrt x.re) (sqrt (- (* x.im x.im)))) (* (sqrt x.re) (sqrt (- (* x.im x.im)))) (* x.re (* x.im x.im)) (* x.re (* (cbrt (- (* x.im x.im))) (cbrt (- (* x.im x.im))))) (* x.re (sqrt (- (* x.im x.im)))) (* x.re 1) (* x.re -1) (* x.re (- x.im)) (* x.re x.im) (* (cbrt x.re) (- (* x.im x.im))) (* (sqrt x.re) (- (* x.im x.im))) (* x.re (- (* x.im x.im))) (expm1 (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (log1p (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (* 3 (* x.re (- (* x.im x.im)))) (log (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (exp (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (* (cbrt (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (cbrt (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3)))) (cbrt (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (* (* (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3)) (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (sqrt (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (sqrt (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) 0.232 * * [simplify]: iteration 0 : 129 enodes (cost 200 ) 0.236 * * [simplify]: iteration 1 : 707 enodes (cost 179 ) 0.255 * * [simplify]: iteration 2 : 4464 enodes (cost 174 ) 0.365 * * [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)) 0.367 * * * [progress]: adding candidates to table 0.453 * * [progress]: iteration 2 / 4 0.453 * * * [progress]: picking best candidate 0.470 * * * * [pick]: Picked # 0.470 * * * [progress]: localizing error 0.478 * * * [progress]: generating rewritten candidates 0.478 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.488 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.490 * * * [progress]: generating series expansions 0.490 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.490 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.490 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.490 * [taylor]: Taking taylor expansion of -1 in x.im 0.490 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.490 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.490 * [taylor]: Taking taylor expansion of x.im in x.im 0.490 * [taylor]: Taking taylor expansion of x.re in x.im 0.490 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.490 * [taylor]: Taking taylor expansion of -1 in x.re 0.490 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.490 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.490 * [taylor]: Taking taylor expansion of x.im in x.re 0.490 * [taylor]: Taking taylor expansion of x.re in x.re 0.490 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.490 * [taylor]: Taking taylor expansion of -1 in x.re 0.490 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.490 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.490 * [taylor]: Taking taylor expansion of x.im in x.re 0.490 * [taylor]: Taking taylor expansion of x.re in x.re 0.491 * [taylor]: Taking taylor expansion of 0 in x.im 0.492 * [taylor]: Taking taylor expansion of (- (pow x.im 2)) 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 0.494 * [taylor]: Taking taylor expansion of 0 in x.im 0.496 * [taylor]: Taking taylor expansion of 0 in x.im 0.496 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.496 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.496 * [taylor]: Taking taylor expansion of -1 in x.im 0.496 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.496 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.496 * [taylor]: Taking taylor expansion of x.im in x.im 0.496 * [taylor]: Taking taylor expansion of x.re in x.im 0.497 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.497 * [taylor]: Taking taylor expansion of -1 in x.re 0.497 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.497 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.497 * [taylor]: Taking taylor expansion of x.im in x.re 0.497 * [taylor]: Taking taylor expansion of x.re in x.re 0.497 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.497 * [taylor]: Taking taylor expansion of -1 in x.re 0.497 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.497 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.497 * [taylor]: Taking taylor expansion of x.im in x.re 0.497 * [taylor]: Taking taylor expansion of x.re in x.re 0.498 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.498 * [taylor]: Taking taylor expansion of -1 in x.im 0.498 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.498 * [taylor]: Taking taylor expansion of x.im in x.im 0.499 * [taylor]: Taking taylor expansion of 0 in x.im 0.501 * [taylor]: Taking taylor expansion of 0 in x.im 0.504 * [taylor]: Taking taylor expansion of 0 in x.im 0.507 * [taylor]: Taking taylor expansion of 0 in x.im 0.508 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.508 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.508 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.508 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.508 * [taylor]: Taking taylor expansion of x.im in x.im 0.508 * [taylor]: Taking taylor expansion of x.re in x.im 0.508 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.508 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.508 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.508 * [taylor]: Taking taylor expansion of x.im in x.re 0.508 * [taylor]: Taking taylor expansion of x.re in x.re 0.509 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.509 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.509 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.509 * [taylor]: Taking taylor expansion of x.im in x.re 0.509 * [taylor]: Taking taylor expansion of x.re in x.re 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.509 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.509 * [taylor]: Taking taylor expansion of x.im in x.im 0.511 * [taylor]: Taking taylor expansion of 0 in x.im 0.513 * [taylor]: Taking taylor expansion of 0 in x.im 0.515 * [taylor]: Taking taylor expansion of 0 in x.im 0.518 * [taylor]: Taking taylor expansion of 0 in x.im 0.518 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.518 * [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 0.519 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.im 0.519 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.519 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.im 0.519 * [taylor]: Taking taylor expansion of 3 in x.im 0.519 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.519 * [taylor]: Taking taylor expansion of -1 in x.im 0.519 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.519 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.519 * [taylor]: Taking taylor expansion of x.im in x.im 0.519 * [taylor]: Taking taylor expansion of x.re in x.im 0.519 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.519 * [taylor]: Taking taylor expansion of x.re in x.im 0.519 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.519 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.519 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.519 * [taylor]: Taking taylor expansion of 3 in x.re 0.519 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.519 * [taylor]: Taking taylor expansion of -1 in x.re 0.519 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.519 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.519 * [taylor]: Taking taylor expansion of x.im in x.re 0.519 * [taylor]: Taking taylor expansion of x.re in x.re 0.519 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.519 * [taylor]: Taking taylor expansion of x.re in x.re 0.519 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.519 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.519 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.519 * [taylor]: Taking taylor expansion of 3 in x.re 0.519 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.519 * [taylor]: Taking taylor expansion of -1 in x.re 0.519 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.519 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.519 * [taylor]: Taking taylor expansion of x.im in x.re 0.519 * [taylor]: Taking taylor expansion of x.re in x.re 0.519 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.519 * [taylor]: Taking taylor expansion of x.re in x.re 0.520 * [taylor]: Taking taylor expansion of 0 in x.im 0.521 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.521 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.521 * [taylor]: Taking taylor expansion of 3 in x.im 0.521 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.521 * [taylor]: Taking taylor expansion of x.im in x.im 0.524 * [taylor]: Taking taylor expansion of 0 in x.im 0.527 * [taylor]: Taking taylor expansion of 1 in x.im 0.532 * [taylor]: Taking taylor expansion of 0 in x.im 0.533 * [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 0.533 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.533 * [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.im 0.534 * [taylor]: Taking taylor expansion of 3 in x.im 0.534 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.534 * [taylor]: Taking taylor expansion of -1 in x.im 0.534 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.534 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.534 * [taylor]: Taking taylor expansion of x.im in x.im 0.534 * [taylor]: Taking taylor expansion of x.re in x.im 0.534 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 0.534 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.534 * [taylor]: Taking taylor expansion of x.re in x.im 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 0.535 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.535 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.535 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.535 * [taylor]: Taking taylor expansion of 3 in x.re 0.535 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.535 * [taylor]: Taking taylor expansion of -1 in x.re 0.535 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.535 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.535 * [taylor]: Taking taylor expansion of x.im in x.re 0.535 * [taylor]: Taking taylor expansion of x.re in x.re 0.536 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.536 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.536 * [taylor]: Taking taylor expansion of x.re in x.re 0.537 * [taylor]: Taking taylor expansion of 1 in x.im 0.538 * [taylor]: Taking taylor expansion of 0 in x.im 0.540 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.540 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.540 * [taylor]: Taking taylor expansion of 3 in x.im 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.540 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.540 * [taylor]: Taking taylor expansion of x.im in x.im 0.544 * [taylor]: Taking taylor expansion of 0 in x.im 0.549 * [taylor]: Taking taylor expansion of 0 in x.im 0.552 * [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 0.552 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.im 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.im 0.552 * [taylor]: Taking taylor expansion of 3 in x.im 0.552 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.552 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.552 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.552 * [taylor]: Taking taylor expansion of x.im in x.im 0.552 * [taylor]: Taking taylor expansion of x.re in x.im 0.552 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.552 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.552 * [taylor]: Taking taylor expansion of -1 in x.im 0.552 * [taylor]: Taking taylor expansion of x.re in x.im 0.552 * [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 0.553 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.553 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.553 * [taylor]: Taking taylor expansion of -1 in x.re 0.553 * [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 0.554 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.554 * [taylor]: Taking taylor expansion of x.im in x.re 0.554 * [taylor]: Taking taylor expansion of x.re in x.re 0.554 * [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 0.557 * [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 0.569 * [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))) 0.578 * * [simplify]: iteration 0 : 151 enodes (cost 193 ) 0.583 * * [simplify]: iteration 1 : 780 enodes (cost 168 ) 0.606 * * [simplify]: iteration 2 : 5001 enodes (cost 167 ) 0.607 * [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))) 0.608 * * * [progress]: adding candidates to table 0.675 * * [progress]: iteration 3 / 4 0.675 * * * [progress]: picking best candidate 0.692 * * * * [pick]: Picked # 0.692 * * * [progress]: localizing error 0.704 * * * [progress]: generating rewritten candidates 0.704 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.705 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.706 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 0.707 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.715 * * * [progress]: generating series expansions 0.715 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.715 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 0.715 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 0.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 0.715 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 0.715 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.715 * [taylor]: Taking taylor expansion of (log x.im) in x.im 0.715 * [taylor]: Taking taylor expansion of x.im in x.im 0.716 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 0.716 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 0.716 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 0.716 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.716 * [taylor]: Taking taylor expansion of (log x.im) in x.im 0.716 * [taylor]: Taking taylor expansion of x.im in x.im 0.771 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 0.771 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.771 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.771 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.771 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.771 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.771 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.771 * [taylor]: Taking taylor expansion of x.im in x.im 0.772 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.772 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.772 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.772 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.772 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.772 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.772 * [taylor]: Taking taylor expansion of x.im in x.im 0.828 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 0.828 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 0.828 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 0.828 * [taylor]: Taking taylor expansion of -1 in x.im 0.829 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.829 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.829 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.829 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.829 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.829 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.829 * [taylor]: Taking taylor expansion of x.im in x.im 0.830 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 0.830 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 0.830 * [taylor]: Taking taylor expansion of -1 in x.im 0.831 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.831 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.831 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.831 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.831 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.831 * [taylor]: Taking taylor expansion of x.im in x.im 0.893 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.893 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 0.893 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 0.893 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 0.893 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 0.893 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.893 * [taylor]: Taking taylor expansion of (log x.im) in x.im 0.893 * [taylor]: Taking taylor expansion of x.im in x.im 0.894 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 0.894 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 0.894 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 0.894 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.894 * [taylor]: Taking taylor expansion of (log x.im) in x.im 0.894 * [taylor]: Taking taylor expansion of x.im in x.im 0.948 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 0.948 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.948 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.948 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.948 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.948 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.948 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.948 * [taylor]: Taking taylor expansion of x.im in x.im 0.949 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.949 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.949 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.949 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.949 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.949 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.949 * [taylor]: Taking taylor expansion of x.im in x.im 1.005 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 1.006 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.006 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.006 * [taylor]: Taking taylor expansion of -1 in x.im 1.006 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.006 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.006 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.006 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.006 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.006 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.006 * [taylor]: Taking taylor expansion of x.im in x.im 1.007 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.007 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.007 * [taylor]: Taking taylor expansion of -1 in x.im 1.008 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.008 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.008 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.008 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.008 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.008 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.008 * [taylor]: Taking taylor expansion of x.im in x.im 1.074 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.074 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 1.074 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 1.075 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 1.075 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 1.075 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.075 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.075 * [taylor]: Taking taylor expansion of x.im in x.im 1.075 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 1.075 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 1.075 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 1.075 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.075 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.075 * [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 1.250 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.250 * [approximate]: Taking taylor expansion of (pow (pow x.im 2) 1/3) in (x.im) around 0 1.250 * [taylor]: Taking taylor expansion of (pow (pow x.im 2) 1/3) in x.im 1.250 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x.im 2)))) in x.im 1.250 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x.im 2))) in x.im 1.250 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.250 * [taylor]: Taking taylor expansion of (log (pow x.im 2)) in x.im 1.250 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.250 * [taylor]: Taking taylor expansion of x.im in x.im 1.251 * [taylor]: Taking taylor expansion of (pow (pow x.im 2) 1/3) in x.im 1.251 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x.im 2)))) in x.im 1.251 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x.im 2))) in x.im 1.251 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.251 * [taylor]: Taking taylor expansion of (log (pow x.im 2)) in x.im 1.251 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.251 * [taylor]: Taking taylor expansion of x.im in x.im 1.307 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in (x.im) around 0 1.307 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.308 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.308 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.308 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.308 * [taylor]: Taking taylor expansion of x.im in x.im 1.309 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.309 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.309 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.309 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.309 * [taylor]: Taking taylor expansion of x.im in x.im 1.369 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x.im 2)) 1/3)) in (x.im) around 0 1.369 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x.im 2)) 1/3)) in x.im 1.369 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x.im 1.369 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.369 * [taylor]: Taking taylor expansion of -1 in x.im 1.369 * [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 1.371 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x.im 2)) 1/3)) in x.im 1.371 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x.im 1.371 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.371 * [taylor]: Taking taylor expansion of -1 in x.im 1.371 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.371 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.372 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.372 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.372 * [taylor]: Taking taylor expansion of x.im in x.im 1.450 * * * [progress]: simplifying candidates 1.451 * [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)) 1.456 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.459 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.473 * * [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 1.795 * * * * [pick]: Picked # 1.795 * * * [progress]: localizing error 1.812 * * * [progress]: generating rewritten candidates 1.812 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 1.816 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1) 1.818 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.819 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 1 1) 1.822 * * * [progress]: generating series expansions 1.822 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 1.822 * [approximate]: Taking taylor expansion of (pow (pow x.im 1/9) 4) in (x.im) around 0 1.822 * [taylor]: Taking taylor expansion of (pow (pow x.im 1/9) 4) in x.im 1.822 * [taylor]: Taking taylor expansion of (pow x.im 1/9) in x.im 1.822 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x.im))) in x.im 1.822 * [taylor]: Taking taylor expansion of (* 1/9 (log x.im)) in x.im 1.822 * [taylor]: Taking taylor expansion of 1/9 in x.im 1.822 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.822 * [taylor]: Taking taylor expansion of x.im in x.im 1.823 * [taylor]: Taking taylor expansion of (pow (pow x.im 1/9) 4) in x.im 1.823 * [taylor]: Taking taylor expansion of (pow x.im 1/9) in x.im 1.823 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x.im))) in x.im 1.823 * [taylor]: Taking taylor expansion of (* 1/9 (log x.im)) in x.im 1.823 * [taylor]: Taking taylor expansion of 1/9 in x.im 1.823 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.823 * [taylor]: Taking taylor expansion of x.im in x.im 1.886 * [approximate]: Taking taylor expansion of (pow (pow (/ 1 x.im) 1/9) 4) in (x.im) around 0 1.886 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 x.im) 1/9) 4) in x.im 1.886 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in x.im 1.886 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x.im)))) in x.im 1.886 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x.im))) in x.im 1.886 * [taylor]: Taking taylor expansion of 1/9 in x.im 1.886 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.886 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.887 * [taylor]: Taking taylor expansion of x.im in x.im 1.887 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 x.im) 1/9) 4) in x.im 1.887 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in x.im 1.887 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x.im)))) in x.im 1.887 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x.im))) in x.im 1.887 * [taylor]: Taking taylor expansion of 1/9 in x.im 1.887 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.887 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.887 * [taylor]: Taking taylor expansion of x.im in x.im 1.947 * [approximate]: Taking taylor expansion of (pow (* (pow (cbrt -1) 1/3) (pow (/ 1 x.im) 1/9)) 4) in (x.im) around 0 1.947 * [taylor]: Taking taylor expansion of (pow (* (pow (cbrt -1) 1/3) (pow (/ 1 x.im) 1/9)) 4) in x.im 1.947 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x.im) 1/9)) in x.im 1.947 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x.im 1.947 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x.im 1.947 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x.im 1.947 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.947 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x.im 1.947 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.947 * [taylor]: Taking taylor expansion of -1 in x.im 1.957 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in x.im 1.957 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x.im)))) in x.im 1.957 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x.im))) in x.im 1.957 * [taylor]: Taking taylor expansion of 1/9 in x.im 1.957 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.957 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.957 * [taylor]: Taking taylor expansion of x.im in x.im 1.958 * [taylor]: Taking taylor expansion of (pow (* (pow (cbrt -1) 1/3) (pow (/ 1 x.im) 1/9)) 4) in x.im 1.958 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x.im) 1/9)) in x.im 1.958 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x.im 1.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x.im 1.958 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x.im 1.959 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.959 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x.im 1.959 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.959 * [taylor]: Taking taylor expansion of -1 in x.im 1.962 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in x.im 1.962 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x.im)))) in x.im 1.962 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x.im))) in x.im 1.962 * [taylor]: Taking taylor expansion of 1/9 in x.im 1.962 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.962 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.962 * [taylor]: Taking taylor expansion of x.im in x.im 2.122 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1) 2.123 * [approximate]: Taking taylor expansion of (pow x.im 1/9) in (x.im) around 0 2.123 * [taylor]: Taking taylor expansion of (pow x.im 1/9) in x.im 2.123 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x.im))) in x.im 2.123 * [taylor]: Taking taylor expansion of (* 1/9 (log x.im)) in x.im 2.123 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.123 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.123 * [taylor]: Taking taylor expansion of x.im in x.im 2.123 * [taylor]: Taking taylor expansion of (pow x.im 1/9) in x.im 2.123 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x.im))) in x.im 2.123 * [taylor]: Taking taylor expansion of (* 1/9 (log x.im)) in x.im 2.123 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.123 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.123 * [taylor]: Taking taylor expansion of x.im in x.im 2.170 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in (x.im) around 0 2.171 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in x.im 2.171 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x.im)))) in x.im 2.171 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x.im))) in x.im 2.171 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.171 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.171 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.171 * [taylor]: Taking taylor expansion of x.im in x.im 2.172 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in x.im 2.172 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x.im)))) in x.im 2.172 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x.im))) in x.im 2.172 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.172 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.172 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.172 * [taylor]: Taking taylor expansion of x.im in x.im 2.229 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x.im) 1/9)) in (x.im) around 0 2.229 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x.im) 1/9)) in x.im 2.229 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x.im 2.229 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x.im 2.229 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x.im 2.229 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.229 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x.im 2.229 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.229 * [taylor]: Taking taylor expansion of -1 in x.im 2.233 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in x.im 2.233 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x.im)))) in x.im 2.233 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x.im))) in x.im 2.233 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.233 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.233 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.233 * [taylor]: Taking taylor expansion of x.im in x.im 2.234 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x.im) 1/9)) in x.im 2.234 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x.im 2.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x.im 2.234 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x.im 2.234 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.234 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x.im 2.234 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.234 * [taylor]: Taking taylor expansion of -1 in x.im 2.237 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in x.im 2.237 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x.im)))) in x.im 2.237 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x.im))) in x.im 2.237 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.237 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.237 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.237 * [taylor]: Taking taylor expansion of x.im in x.im 2.363 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 2.363 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 2.363 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.363 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.363 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.363 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.363 * [taylor]: Taking taylor expansion of x.im in x.im 2.364 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.364 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.364 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.364 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.364 * [taylor]: Taking taylor expansion of x.im in x.im 2.417 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 2.417 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.417 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.417 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.417 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.417 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.417 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.417 * [taylor]: Taking taylor expansion of x.im in x.im 2.418 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.418 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.418 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.418 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.418 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.418 * [taylor]: Taking taylor expansion of x.im in x.im 2.467 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 2.467 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.467 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.467 * [taylor]: Taking taylor expansion of -1 in x.im 2.468 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.468 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.468 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.468 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.468 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.468 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.468 * [taylor]: Taking taylor expansion of x.im in x.im 2.469 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.469 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.469 * [taylor]: Taking taylor expansion of -1 in x.im 2.470 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.470 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.470 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.470 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.470 * [taylor]: Taking taylor expansion of x.im in x.im 2.536 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 1 1) 2.536 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 2.536 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.536 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.536 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.536 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.536 * [taylor]: Taking taylor expansion of x.im in x.im 2.537 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.537 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.537 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.537 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.537 * [taylor]: Taking taylor expansion of x.im in x.im 2.589 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 2.589 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.589 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.589 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.589 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.589 * [taylor]: Taking taylor expansion of x.im in x.im 2.590 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.590 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.590 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.590 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.590 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.590 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.590 * [taylor]: Taking taylor expansion of x.im in x.im 2.648 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 2.648 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.648 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.648 * [taylor]: Taking taylor expansion of -1 in x.im 2.649 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.649 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.649 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.649 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.649 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.649 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.649 * [taylor]: Taking taylor expansion of x.im in x.im 2.650 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.650 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.650 * [taylor]: Taking taylor expansion of -1 in x.im 2.651 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.651 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.651 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.651 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.651 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.651 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.651 * [taylor]: Taking taylor expansion of x.im in x.im 2.717 * * * [progress]: simplifying candidates 2.718 * [simplify]: Simplifying using # : (expm1 (pow (cbrt (cbrt x.im)) 4)) (log1p (pow (cbrt (cbrt x.im)) 4)) (* (log (cbrt (cbrt x.im))) 4) (* (log (cbrt (cbrt x.im))) 4) (* 1/3 4) (* 1 4) (pow (cbrt (cbrt x.im)) (* (cbrt 4) (cbrt 4))) (pow (cbrt (cbrt x.im)) (sqrt 4)) (pow (cbrt (cbrt x.im)) 1) (pow (cbrt (cbrt (* (cbrt x.im) (cbrt x.im)))) 4) (pow (cbrt (cbrt (cbrt x.im))) 4) (pow (cbrt (cbrt (sqrt x.im))) 4) (pow (cbrt (cbrt (sqrt x.im))) 4) (pow (cbrt (cbrt 1)) 4) (pow (cbrt (cbrt x.im)) 4) (pow (cbrt (* (cbrt (cbrt x.im)) (cbrt (cbrt x.im)))) 4) (pow (cbrt (cbrt (cbrt x.im))) 4) (pow (cbrt (sqrt (cbrt x.im))) 4) (pow (cbrt (sqrt (cbrt x.im))) 4) (pow (cbrt 1) 4) (pow (cbrt (cbrt x.im)) 4) (pow (* (cbrt (cbrt (cbrt x.im))) (cbrt (cbrt (cbrt x.im)))) 4) (pow (cbrt (cbrt (cbrt x.im))) 4) (pow (sqrt (cbrt (cbrt x.im))) 4) (pow (sqrt (cbrt (cbrt x.im))) 4) (pow 1 4) (pow (cbrt (cbrt x.im)) 4) (log (pow (cbrt (cbrt x.im)) 4)) (exp (pow (cbrt (cbrt x.im)) 4)) (* (cbrt (pow (cbrt (cbrt x.im)) 4)) (cbrt (pow (cbrt (cbrt x.im)) 4))) (cbrt (pow (cbrt (cbrt x.im)) 4)) (* (* (pow (cbrt (cbrt x.im)) 4) (pow (cbrt (cbrt x.im)) 4)) (pow (cbrt (cbrt x.im)) 4)) (sqrt (pow (cbrt (cbrt x.im)) 4)) (sqrt (pow (cbrt (cbrt x.im)) 4)) (pow (cbrt (cbrt x.im)) (/ 4 2)) (pow (cbrt (cbrt x.im)) (/ 4 2)) (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 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 (pow x.im 4) 1/9) (pow (pow x.im 4) 1/9) (* (pow (pow (cbrt -1) 4) 1/3) (pow (pow x.im 4) 1/9)) (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 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)) 2.722 * * [simplify]: iteration 0 : 162 enodes (cost 311 ) 2.726 * * [simplify]: iteration 1 : 491 enodes (cost 291 ) 2.737 * * [simplify]: iteration 2 : 1774 enodes (cost 272 ) 2.791 * * [simplify]: iteration 3 : 5001 enodes (cost 266 ) 2.793 * [simplify]: Simplified to: (expm1 (pow (cbrt (cbrt x.im)) 4)) (log1p (pow (cbrt (cbrt x.im)) 4)) (log (pow (cbrt (cbrt x.im)) 4)) (log (pow (cbrt (cbrt x.im)) 4)) 4/3 4 (pow (cbrt (cbrt x.im)) (* (cbrt 4) (cbrt 4))) (pow (cbrt (cbrt x.im)) 2) (cbrt (cbrt x.im)) (pow (cbrt (cbrt (* (cbrt x.im) (cbrt x.im)))) 4) (pow (cbrt (cbrt (cbrt x.im))) 4) (pow (cbrt (cbrt (sqrt x.im))) 4) (pow (cbrt (cbrt (sqrt x.im))) 4) 1 (pow (cbrt (cbrt x.im)) 4) (pow (cbrt (cbrt (* (cbrt x.im) (cbrt x.im)))) 4) (pow (cbrt (cbrt (cbrt x.im))) 4) (pow (cbrt (sqrt (cbrt x.im))) 4) (pow (cbrt (sqrt (cbrt x.im))) 4) 1 (pow (cbrt (cbrt x.im)) 4) (pow (cbrt (cbrt (cbrt x.im))) 8) (pow (cbrt (cbrt (cbrt x.im))) 4) (pow (cbrt (cbrt x.im)) 2) (pow (cbrt (cbrt x.im)) 2) 1 (pow (cbrt (cbrt x.im)) 4) (log (pow (cbrt (cbrt x.im)) 4)) (exp (pow (cbrt (cbrt x.im)) 4)) (* (cbrt (pow (cbrt (cbrt x.im)) 4)) (cbrt (pow (cbrt (cbrt x.im)) 4))) (cbrt (pow (cbrt (cbrt x.im)) 4)) (pow x.im 4/3) (sqrt (pow (cbrt (cbrt x.im)) 4)) (sqrt (pow (cbrt (cbrt x.im)) 4)) (pow (cbrt (cbrt x.im)) 2) (pow (cbrt (cbrt x.im)) 2) (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 x.im)))) (cbrt (cbrt (cbrt x.im))) (cbrt (sqrt (cbrt x.im))) (cbrt (sqrt (cbrt x.im))) 1 (cbrt (cbrt x.im)) (pow (cbrt (cbrt (cbrt x.im))) 2) (cbrt (cbrt (cbrt x.im))) (pow x.im 1/3) (pow (cbrt (cbrt x.im)) 1/2) (pow (cbrt (cbrt x.im)) 1/2) (expm1 (cbrt x.im)) (log1p (cbrt x.im)) (log (cbrt x.im)) (exp (cbrt x.im)) (pow (cbrt (cbrt x.im)) 2) (cbrt (cbrt x.im)) (cbrt (sqrt x.im)) (cbrt (sqrt x.im)) 1 (pow x.im 1/3) (pow (cbrt (cbrt x.im)) 2) (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)) (pow (cbrt (cbrt x.im)) 2) (cbrt (cbrt x.im)) (cbrt (sqrt x.im)) (cbrt (sqrt x.im)) 1 (pow x.im 1/3) (pow (cbrt (cbrt x.im)) 2) (cbrt (cbrt x.im)) x.im (sqrt (cbrt x.im)) (sqrt (cbrt x.im)) (pow (pow x.im 4) 1/9) (pow (pow x.im 4) 1/9) (* (pow (pow (cbrt -1) 4) 1/3) (pow (pow x.im 4) 1/9)) (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 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 3.039 * [progress]: [Phase 3 of 3] Extracting. 3.039 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 3.043 * * * [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) 3.043 * * * * [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 (# # # # # # # # # # # # #) 3.092 * * * * [regimes]: Trying to branch on x.im from (# # # # # # # # # # # # #) 3.141 * * * * [regimes]: Trying to branch on x.re from (# # # # # # # # # # # # #) 3.192 * * * [regime]: Found split indices: #