1.717 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.029 * * [simplify]: iteration 0 : 24 enodes (cost 9 ) 0.031 * * [simplify]: iteration 1 : 61 enodes (cost 9 ) 0.032 * * [simplify]: iteration 2 : 168 enodes (cost 8 ) 0.036 * * [simplify]: iteration 3 : 483 enodes (cost 6 ) 0.045 * * [simplify]: iteration 4 : 1418 enodes (cost 5 ) 0.067 * * [simplify]: iteration 5 : 3857 enodes (cost 5 ) 0.117 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.117 * [simplify]: Simplified to: (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3)) 0.120 * * [progress]: iteration 1 / 4 0.120 * * * [progress]: picking best candidate 0.123 * * * * [pick]: Picked # 0.123 * * * [progress]: localizing error 0.130 * * * [progress]: generating rewritten candidates 0.131 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.135 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.136 * * * [progress]: generating series expansions 0.136 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.136 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.136 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.136 * [taylor]: Taking taylor expansion of -1 in x.im 0.136 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.136 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.136 * [taylor]: Taking taylor expansion of x.im in x.im 0.136 * [taylor]: Taking taylor expansion of x.re in x.im 0.136 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.136 * [taylor]: Taking taylor expansion of -1 in x.re 0.136 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.136 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.136 * [taylor]: Taking taylor expansion of x.im in x.re 0.136 * [taylor]: Taking taylor expansion of x.re in x.re 0.136 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.137 * [taylor]: Taking taylor expansion of -1 in x.re 0.137 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.137 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.137 * [taylor]: Taking taylor expansion of x.im in x.re 0.137 * [taylor]: Taking taylor expansion of x.re in x.re 0.137 * [taylor]: Taking taylor expansion of 0 in x.im 0.138 * [taylor]: Taking taylor expansion of (- (pow x.im 2)) in x.im 0.138 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.138 * [taylor]: Taking taylor expansion of x.im in x.im 0.140 * [taylor]: Taking taylor expansion of 0 in x.im 0.142 * [taylor]: Taking taylor expansion of 0 in x.im 0.142 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.142 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.142 * [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 0.144 * [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)) 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) in x.im 0.144 * [taylor]: Taking taylor expansion of x.im in x.im 0.146 * [taylor]: Taking taylor expansion of 0 in x.im 0.148 * [taylor]: Taking taylor expansion of 0 in x.im 0.150 * [taylor]: Taking taylor expansion of 0 in x.im 0.154 * [taylor]: Taking taylor expansion of 0 in x.im 0.154 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.154 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.154 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.154 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.154 * [taylor]: Taking taylor expansion of x.im in x.im 0.154 * [taylor]: Taking taylor expansion of x.re in x.im 0.154 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.154 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.154 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.154 * [taylor]: Taking taylor expansion of x.im in x.re 0.154 * [taylor]: Taking taylor expansion of x.re in x.re 0.155 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.155 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.155 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.155 * [taylor]: Taking taylor expansion of x.im in x.re 0.155 * [taylor]: Taking taylor expansion of x.re in x.re 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.160 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.160 * [taylor]: Taking taylor expansion of x.im in x.im 0.161 * [taylor]: Taking taylor expansion of 0 in x.im 0.163 * [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 0.169 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.169 * [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 0.169 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.im 0.169 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.169 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.im 0.169 * [taylor]: Taking taylor expansion of 3 in x.im 0.169 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.169 * [taylor]: Taking taylor expansion of -1 in x.im 0.169 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.169 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.170 * [taylor]: Taking taylor expansion of x.im in x.im 0.170 * [taylor]: Taking taylor expansion of x.re in x.im 0.170 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.170 * [taylor]: Taking taylor expansion of x.re in x.im 0.170 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.170 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.170 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.170 * [taylor]: Taking taylor expansion of 3 in x.re 0.170 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.170 * [taylor]: Taking taylor expansion of -1 in x.re 0.170 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.170 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.170 * [taylor]: Taking taylor expansion of x.im in x.re 0.170 * [taylor]: Taking taylor expansion of x.re in x.re 0.170 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.170 * [taylor]: Taking taylor expansion of x.re in x.re 0.170 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.170 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.170 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.170 * [taylor]: Taking taylor expansion of 3 in x.re 0.170 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.170 * [taylor]: Taking taylor expansion of -1 in x.re 0.170 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.170 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.170 * [taylor]: Taking taylor expansion of x.im in x.re 0.170 * [taylor]: Taking taylor expansion of x.re in x.re 0.170 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.170 * [taylor]: Taking taylor expansion of x.re in x.re 0.171 * [taylor]: Taking taylor expansion of 0 in x.im 0.172 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.172 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.172 * [taylor]: Taking taylor expansion of 3 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 0.174 * [taylor]: Taking taylor expansion of 0 in x.im 0.178 * [taylor]: Taking taylor expansion of 1 in x.im 0.183 * [taylor]: Taking taylor expansion of 0 in x.im 0.184 * [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 0.184 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.184 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.184 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.im 0.184 * [taylor]: Taking taylor expansion of 3 in x.im 0.184 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.184 * [taylor]: Taking taylor expansion of -1 in x.im 0.185 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.185 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.185 * [taylor]: Taking taylor expansion of x.im in x.im 0.185 * [taylor]: Taking taylor expansion of x.re in x.im 0.185 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 0.185 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.185 * [taylor]: Taking taylor expansion of x.re in x.im 0.185 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.185 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.185 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.185 * [taylor]: Taking taylor expansion of 3 in x.re 0.185 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.185 * [taylor]: Taking taylor expansion of -1 in x.re 0.185 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.185 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.185 * [taylor]: Taking taylor expansion of x.im in x.re 0.185 * [taylor]: Taking taylor expansion of x.re in x.re 0.186 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.186 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.186 * [taylor]: Taking taylor expansion of x.re in x.re 0.186 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 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.re 0.186 * [taylor]: Taking taylor expansion of 3 in x.re 0.186 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.186 * [taylor]: Taking taylor expansion of -1 in x.re 0.186 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.186 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.186 * [taylor]: Taking taylor expansion of x.im in x.re 0.186 * [taylor]: Taking taylor expansion of x.re in x.re 0.187 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.187 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.187 * [taylor]: Taking taylor expansion of x.re in x.re 0.188 * [taylor]: Taking taylor expansion of 1 in x.im 0.189 * [taylor]: Taking taylor expansion of 0 in x.im 0.191 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.191 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) 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)) 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 0.195 * [taylor]: Taking taylor expansion of 0 in x.im 0.200 * [taylor]: Taking taylor expansion of 0 in x.im 0.202 * [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 0.203 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.im 0.203 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.203 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.203 * [taylor]: Taking taylor expansion of 3 in x.im 0.203 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.203 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.203 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.203 * [taylor]: Taking taylor expansion of x.im in x.im 0.203 * [taylor]: Taking taylor expansion of x.re in x.im 0.203 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.203 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.203 * [taylor]: Taking taylor expansion of -1 in x.im 0.203 * [taylor]: Taking taylor expansion of x.re in x.im 0.203 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.203 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.203 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.203 * [taylor]: Taking taylor expansion of 3 in x.re 0.203 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.203 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.203 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.203 * [taylor]: Taking taylor expansion of x.im in x.re 0.203 * [taylor]: Taking taylor expansion of x.re in x.re 0.204 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.204 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.204 * [taylor]: Taking taylor expansion of -1 in x.re 0.204 * [taylor]: Taking taylor expansion of x.re in x.re 0.204 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 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.re 0.204 * [taylor]: Taking taylor expansion of 3 in x.re 0.204 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.204 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.204 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.204 * [taylor]: Taking taylor expansion of x.im in x.re 0.204 * [taylor]: Taking taylor expansion of x.re in x.re 0.205 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.205 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.205 * [taylor]: Taking taylor expansion of -1 in x.re 0.205 * [taylor]: Taking taylor expansion of x.re in x.re 0.206 * [taylor]: Taking taylor expansion of -1 in x.im 0.207 * [taylor]: Taking taylor expansion of 0 in x.im 0.209 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.209 * [taylor]: Taking taylor expansion of 3 in x.im 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.209 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.209 * [taylor]: Taking taylor expansion of x.im in x.im 0.213 * [taylor]: Taking taylor expansion of 0 in x.im 0.218 * [taylor]: Taking taylor expansion of 0 in x.im 0.220 * * * [progress]: simplifying candidates 0.221 * [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))) 0.224 * * [simplify]: iteration 0 : 129 enodes (cost 200 ) 0.227 * * [simplify]: iteration 1 : 707 enodes (cost 179 ) 0.246 * * [simplify]: iteration 2 : 4464 enodes (cost 174 ) 0.352 * * [simplify]: iteration 3 : 5001 enodes (cost 173 ) 0.353 * [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)) 0.353 * * * [progress]: adding candidates to table 0.451 * * [progress]: iteration 2 / 4 0.451 * * * [progress]: picking best candidate 0.464 * * * * [pick]: Picked # 0.465 * * * [progress]: localizing error 0.475 * * * [progress]: generating rewritten candidates 0.476 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.484 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.485 * * * [progress]: generating series expansions 0.485 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.485 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.485 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.485 * [taylor]: Taking taylor expansion of -1 in x.im 0.485 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.485 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.485 * [taylor]: Taking taylor expansion of x.im in x.im 0.485 * [taylor]: Taking taylor expansion of x.re in x.im 0.485 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.485 * [taylor]: Taking taylor expansion of -1 in x.re 0.485 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.485 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.485 * [taylor]: Taking taylor expansion of x.im in x.re 0.485 * [taylor]: Taking taylor expansion of x.re in x.re 0.485 * [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 0.486 * [taylor]: Taking taylor expansion of x.im in x.re 0.486 * [taylor]: Taking taylor expansion of x.re in x.re 0.486 * [taylor]: Taking taylor expansion of 0 in x.im 0.487 * [taylor]: Taking taylor expansion of (- (pow x.im 2)) in x.im 0.487 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.487 * [taylor]: Taking taylor expansion of x.im in x.im 0.489 * [taylor]: Taking taylor expansion of 0 in x.im 0.491 * [taylor]: Taking taylor expansion of 0 in x.im 0.491 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.491 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.491 * [taylor]: Taking taylor expansion of -1 in x.im 0.491 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.491 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.491 * [taylor]: Taking taylor expansion of x.im in x.im 0.491 * [taylor]: Taking taylor expansion of x.re in x.im 0.492 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.492 * [taylor]: Taking taylor expansion of -1 in x.re 0.492 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.492 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.492 * [taylor]: Taking taylor expansion of x.im in x.re 0.492 * [taylor]: Taking taylor expansion of x.re in x.re 0.492 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.492 * [taylor]: Taking taylor expansion of -1 in x.re 0.492 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.492 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.492 * [taylor]: Taking taylor expansion of x.im in x.re 0.492 * [taylor]: Taking taylor expansion of x.re in x.re 0.493 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.493 * [taylor]: Taking taylor expansion of -1 in x.im 0.493 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.493 * [taylor]: Taking taylor expansion of x.im in x.im 0.495 * [taylor]: Taking taylor expansion of 0 in x.im 0.497 * [taylor]: Taking taylor expansion of 0 in x.im 0.499 * [taylor]: Taking taylor expansion of 0 in x.im 0.502 * [taylor]: Taking taylor expansion of 0 in x.im 0.503 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.503 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.503 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.503 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.503 * [taylor]: Taking taylor expansion of x.im in x.im 0.503 * [taylor]: Taking taylor expansion of x.re in x.im 0.503 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.503 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.503 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.503 * [taylor]: Taking taylor expansion of x.im in x.re 0.503 * [taylor]: Taking taylor expansion of x.re in x.re 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 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) 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 0.506 * [taylor]: Taking taylor expansion of 0 in x.im 0.508 * [taylor]: Taking taylor expansion of 0 in x.im 0.510 * [taylor]: Taking taylor expansion of 0 in x.im 0.513 * [taylor]: Taking taylor expansion of 0 in x.im 0.514 * * * * [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 0.514 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.514 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.im 0.514 * [taylor]: Taking taylor expansion of 3 in x.im 0.514 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.514 * [taylor]: Taking taylor expansion of -1 in x.im 0.514 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.514 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.514 * [taylor]: Taking taylor expansion of x.im in x.im 0.514 * [taylor]: Taking taylor expansion of x.re in x.im 0.514 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.514 * [taylor]: Taking taylor expansion of x.re in x.im 0.514 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.514 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.514 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.514 * [taylor]: Taking taylor expansion of 3 in x.re 0.514 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.514 * [taylor]: Taking taylor expansion of -1 in x.re 0.514 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.514 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.514 * [taylor]: Taking taylor expansion of x.im in x.re 0.514 * [taylor]: Taking taylor expansion of x.re in x.re 0.514 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.514 * [taylor]: Taking taylor expansion of x.re in x.re 0.514 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.514 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.514 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.514 * [taylor]: Taking taylor expansion of 3 in x.re 0.514 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.514 * [taylor]: Taking taylor expansion of -1 in x.re 0.514 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.514 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.514 * [taylor]: Taking taylor expansion of x.im in x.re 0.514 * [taylor]: Taking taylor expansion of x.re in x.re 0.515 * [taylor]: Taking taylor expansion of (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 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 0.517 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.517 * [taylor]: Taking taylor expansion of x.im in x.im 0.519 * [taylor]: Taking taylor expansion of 0 in x.im 0.522 * [taylor]: Taking taylor expansion of 1 in x.im 0.527 * [taylor]: Taking taylor expansion of 0 in x.im 0.528 * [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 0.528 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.529 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.529 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.im 0.529 * [taylor]: Taking taylor expansion of 3 in x.im 0.529 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.529 * [taylor]: Taking taylor expansion of -1 in x.im 0.529 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.529 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.529 * [taylor]: Taking taylor expansion of x.im in x.im 0.529 * [taylor]: Taking taylor expansion of x.re in x.im 0.529 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 0.529 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.529 * [taylor]: Taking taylor expansion of x.re in x.im 0.529 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.529 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.529 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.529 * [taylor]: Taking taylor expansion of 3 in x.re 0.529 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.529 * [taylor]: Taking taylor expansion of -1 in x.re 0.529 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.529 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.529 * [taylor]: Taking taylor expansion of x.im in x.re 0.529 * [taylor]: Taking taylor expansion of x.re in x.re 0.530 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.530 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.530 * [taylor]: Taking taylor expansion of x.re in x.re 0.530 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.530 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.530 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.530 * [taylor]: Taking taylor expansion of 3 in x.re 0.530 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.530 * [taylor]: Taking taylor expansion of -1 in x.re 0.530 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.530 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.530 * [taylor]: Taking taylor expansion of x.im in x.re 0.530 * [taylor]: Taking taylor expansion of x.re in x.re 0.531 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.531 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.531 * [taylor]: Taking taylor expansion of x.re in x.re 0.532 * [taylor]: Taking taylor expansion of 1 in x.im 0.533 * [taylor]: Taking taylor expansion of 0 in x.im 0.535 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.535 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.535 * [taylor]: Taking taylor expansion of 3 in x.im 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.535 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.535 * [taylor]: Taking taylor expansion of x.im in x.im 0.539 * [taylor]: Taking taylor expansion of 0 in x.im 0.544 * [taylor]: Taking taylor expansion of 0 in x.im 0.546 * [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 0.546 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.im 0.547 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.547 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.547 * [taylor]: Taking taylor expansion of 3 in x.im 0.547 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.547 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.547 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.547 * [taylor]: Taking taylor expansion of x.im in x.im 0.547 * [taylor]: Taking taylor expansion of x.re in x.im 0.547 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.547 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.547 * [taylor]: Taking taylor expansion of -1 in x.im 0.547 * [taylor]: Taking taylor expansion of x.re in x.im 0.547 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.547 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.547 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.547 * [taylor]: Taking taylor expansion of 3 in x.re 0.547 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.547 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.547 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.547 * [taylor]: Taking taylor expansion of x.im in x.re 0.547 * [taylor]: Taking taylor expansion of x.re in x.re 0.548 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.548 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.548 * [taylor]: Taking taylor expansion of -1 in x.re 0.548 * [taylor]: Taking taylor expansion of x.re in x.re 0.548 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.548 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.548 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.548 * [taylor]: Taking taylor expansion of 3 in x.re 0.548 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.548 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.548 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.548 * [taylor]: Taking taylor expansion of x.im in x.re 0.548 * [taylor]: Taking taylor expansion of x.re in x.re 0.549 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.549 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.549 * [taylor]: Taking taylor expansion of -1 in x.re 0.549 * [taylor]: Taking taylor expansion of x.re in x.re 0.550 * [taylor]: Taking taylor expansion of -1 in x.im 0.551 * [taylor]: Taking taylor expansion of 0 in x.im 0.553 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.553 * [taylor]: Taking taylor expansion of 3 in x.im 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.553 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.553 * [taylor]: Taking taylor expansion of x.im in x.im 0.557 * [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.re x.im) -1) (* (* x.re x.im) (- (* (cbrt x.im) (cbrt x.im)))) (* (* x.re x.im) (- (sqrt x.im))) (* (* x.re x.im) (- 1)) (* (* x.re x.im) (* (cbrt x.im) (cbrt x.im))) (* (* x.re x.im) (sqrt x.im)) (* (* x.re x.im) 1) (* x.im (- x.im)) (expm1 (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (log1p (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (* 3 (* (* x.re x.im) (- x.im))) (log (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (exp (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (* (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3)))) (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (* (* (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3)) (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (sqrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (sqrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) 0.573 * * [simplify]: iteration 0 : 186 enodes (cost 216 ) 0.577 * * [simplify]: iteration 1 : 1009 enodes (cost 190 ) 0.604 * * [simplify]: iteration 2 : 5001 enodes (cost 185 ) 0.605 * [simplify]: Simplified to: (expm1 (* (* x.re x.im) (- x.im))) (log1p (* (* x.re x.im) (- x.im))) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (log (* (* x.re x.im) (- x.im))) (log (* (* x.re x.im) (- x.im))) (log (* (* x.re x.im) (- x.im))) (exp (* (* x.re x.im) (- x.im))) (pow (* -1 (* (pow x.im 2) x.re)) 3) (pow (* -1 (* (pow x.im 2) x.re)) 3) (* (cbrt (* (* x.re x.im) (- x.im))) (cbrt (* (* x.re x.im) (- x.im)))) (cbrt (* (* x.re x.im) (- x.im))) (pow (* -1 (* (pow x.im 2) x.re)) 3) (sqrt (* (* x.re x.im) (- x.im))) (sqrt (* (* x.re x.im) (- x.im))) (* (* x.re x.im) x.im) (* (* x.re x.im) (* (cbrt (- x.im)) (cbrt (- x.im)))) (* (* x.re x.im) (sqrt (- x.im))) (* x.re x.im) (- (* x.re x.im)) (* (* x.re x.im) (- (* (cbrt x.im) (cbrt x.im)))) (* (* x.re x.im) (- (sqrt x.im))) (- (* x.re x.im)) (* (* x.re x.im) (* (cbrt x.im) (cbrt x.im))) (* (* x.re x.im) (sqrt x.im)) (* x.re x.im) (* x.im (- x.im)) (expm1 (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (log1p (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (* -3 (* (* x.re x.im) x.im)) (log (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (exp (fma -3 (* (* x.re x.im) x.im) (pow x.re 3))) (* (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3)))) (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (pow (fma -3 (* (* x.re x.im) x.im) (pow x.re 3)) 3) (sqrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (sqrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (fma -3 (* (* x.re x.im) x.im) (pow x.re 3)) (fma -3 (* (* x.re x.im) x.im) (pow x.re 3)) (fma -3 (* (* x.re x.im) x.im) (pow x.re 3)) 0.605 * * * [progress]: adding candidates to table 0.696 * * [progress]: iteration 3 / 4 0.697 * * * [progress]: picking best candidate 0.720 * * * * [pick]: Picked # 0.721 * * * [progress]: localizing error 0.731 * * * [progress]: generating rewritten candidates 0.731 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.732 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2) 0.732 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 0.733 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 0.740 * * * [progress]: generating series expansions 0.741 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.741 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 0.741 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 0.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 0.741 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 0.741 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.741 * [taylor]: Taking taylor expansion of (log x.im) in x.im 0.741 * [taylor]: Taking taylor expansion of x.im in x.im 0.742 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 0.742 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 0.742 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 0.742 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.742 * [taylor]: Taking taylor expansion of (log x.im) in x.im 0.742 * [taylor]: Taking taylor expansion of x.im in x.im 0.794 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 0.794 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.794 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.794 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.794 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.794 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.794 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.794 * [taylor]: Taking taylor expansion of x.im in x.im 0.795 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.795 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.795 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.795 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.795 * [taylor]: Taking taylor expansion of x.im in x.im 0.852 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 0.852 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 0.852 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 0.852 * [taylor]: Taking taylor expansion of -1 in x.im 0.853 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.853 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.853 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.853 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.853 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.853 * [taylor]: Taking taylor expansion of x.im in x.im 0.854 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 0.854 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 0.854 * [taylor]: Taking taylor expansion of -1 in x.im 0.854 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.854 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.854 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.854 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.854 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.854 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.854 * [taylor]: Taking taylor expansion of x.im in x.im 0.916 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2) 0.916 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 0.916 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 0.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 0.916 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 0.916 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.916 * [taylor]: Taking taylor expansion of (log x.im) in x.im 0.916 * [taylor]: Taking taylor expansion of x.im in x.im 0.917 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 0.917 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 0.917 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 0.917 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.917 * [taylor]: Taking taylor expansion of (log x.im) in x.im 0.917 * [taylor]: Taking taylor expansion of x.im in x.im 0.970 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 0.970 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.970 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.970 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.970 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.970 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.970 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.970 * [taylor]: Taking taylor expansion of x.im in x.im 0.971 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.971 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.971 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.971 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.971 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.971 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.971 * [taylor]: Taking taylor expansion of x.im in x.im 1.028 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 1.028 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.028 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.028 * [taylor]: Taking taylor expansion of -1 in x.im 1.029 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.029 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.029 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.029 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.029 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.029 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.029 * [taylor]: Taking taylor expansion of x.im in x.im 1.030 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.030 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.030 * [taylor]: Taking taylor expansion of -1 in x.im 1.031 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.031 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.031 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.031 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.031 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.031 * [taylor]: Taking taylor expansion of x.im in x.im 1.098 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 1.098 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 1.098 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 1.098 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 1.098 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 1.098 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.098 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.098 * [taylor]: Taking taylor expansion of x.im in x.im 1.099 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 1.099 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 1.099 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 1.099 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.099 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.099 * [taylor]: Taking taylor expansion of x.im in x.im 1.152 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 1.152 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.152 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.152 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.152 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.152 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.152 * [taylor]: Taking taylor expansion of x.im in x.im 1.153 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.153 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.153 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.153 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.153 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.153 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.153 * [taylor]: Taking taylor expansion of x.im in x.im 1.204 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 1.204 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.204 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.204 * [taylor]: Taking taylor expansion of -1 in x.im 1.205 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.205 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.205 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.205 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.205 * [taylor]: Taking taylor expansion of x.im in x.im 1.206 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.206 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.206 * [taylor]: Taking taylor expansion of -1 in x.im 1.207 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.207 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.207 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.207 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.207 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.207 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.207 * [taylor]: Taking taylor expansion of x.im in x.im 1.273 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 1.274 * [approximate]: Taking taylor expansion of (pow (pow x.im 2) 1/3) in (x.im) around 0 1.274 * [taylor]: Taking taylor expansion of (pow (pow x.im 2) 1/3) in x.im 1.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x.im 2)))) in x.im 1.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x.im 2))) in x.im 1.274 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.274 * [taylor]: Taking taylor expansion of (log (pow x.im 2)) in x.im 1.274 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.274 * [taylor]: Taking taylor expansion of x.im in x.im 1.274 * [taylor]: Taking taylor expansion of (pow (pow x.im 2) 1/3) in x.im 1.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x.im 2)))) in x.im 1.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x.im 2))) in x.im 1.275 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.275 * [taylor]: Taking taylor expansion of (log (pow x.im 2)) in x.im 1.275 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.275 * [taylor]: Taking taylor expansion of x.im in x.im 1.459 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in (x.im) around 0 1.459 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.459 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.459 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.459 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.460 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.460 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.460 * [taylor]: Taking taylor expansion of x.im in x.im 1.461 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.461 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.461 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.461 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.461 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.461 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.461 * [taylor]: Taking taylor expansion of x.im in x.im 1.519 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x.im 2)) 1/3)) in (x.im) around 0 1.519 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x.im 2)) 1/3)) in x.im 1.519 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x.im 1.519 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.519 * [taylor]: Taking taylor expansion of -1 in x.im 1.520 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.520 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.520 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.520 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.520 * [taylor]: Taking taylor expansion of x.im in x.im 1.521 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x.im 2)) 1/3)) in x.im 1.521 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x.im 1.521 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.521 * [taylor]: Taking taylor expansion of -1 in x.im 1.522 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.522 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.522 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.522 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.522 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.522 * [taylor]: Taking taylor expansion of x.im in x.im 1.596 * * * [progress]: simplifying candidates 1.597 * [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)) 1.601 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.604 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.618 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.682 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.683 * [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)) 1.684 * * * [progress]: adding candidates to table 1.938 * * [progress]: iteration 4 / 4 1.938 * * * [progress]: picking best candidate 1.966 * * * * [pick]: Picked # 1.966 * * * [progress]: localizing error 1.980 * * * [progress]: generating rewritten candidates 1.980 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.981 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.984 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 1.984 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) 1.986 * * * [progress]: generating series expansions 1.986 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.986 * [approximate]: Taking taylor expansion of (pow x.im 1/9) in (x.im) around 0 1.986 * [taylor]: Taking taylor expansion of (pow x.im 1/9) in x.im 1.986 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x.im))) in x.im 1.986 * [taylor]: Taking taylor expansion of (* 1/9 (log x.im)) in x.im 1.986 * [taylor]: Taking taylor expansion of 1/9 in x.im 1.986 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.986 * [taylor]: Taking taylor expansion of x.im in x.im 1.987 * [taylor]: Taking taylor expansion of (pow x.im 1/9) in x.im 1.987 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x.im))) in x.im 1.987 * [taylor]: Taking taylor expansion of (* 1/9 (log x.im)) in x.im 1.987 * [taylor]: Taking taylor expansion of 1/9 in x.im 1.987 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.987 * [taylor]: Taking taylor expansion of x.im in x.im 2.039 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in (x.im) around 0 2.039 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in x.im 2.039 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x.im)))) in x.im 2.039 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x.im))) in x.im 2.039 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.039 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.039 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.039 * [taylor]: Taking taylor expansion of x.im in x.im 2.040 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in x.im 2.040 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x.im)))) in x.im 2.040 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x.im))) in x.im 2.040 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.040 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.040 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.040 * [taylor]: Taking taylor expansion of x.im in x.im 2.099 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x.im) 1/9)) in (x.im) around 0 2.099 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x.im) 1/9)) in x.im 2.099 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x.im 2.099 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x.im 2.099 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x.im 2.099 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.099 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x.im 2.099 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.099 * [taylor]: Taking taylor expansion of -1 in x.im 2.103 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in x.im 2.103 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x.im)))) in x.im 2.103 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x.im))) in x.im 2.103 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.103 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.103 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.103 * [taylor]: Taking taylor expansion of x.im in x.im 2.104 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x.im) 1/9)) in x.im 2.104 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x.im 2.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x.im 2.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x.im 2.104 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.104 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x.im 2.104 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.104 * [taylor]: Taking taylor expansion of -1 in x.im 2.108 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/9) in x.im 2.108 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x.im)))) in x.im 2.108 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x.im))) in x.im 2.108 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.108 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.108 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.108 * [taylor]: Taking taylor expansion of x.im in x.im 2.230 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.231 * [approximate]: Taking taylor expansion of (pow (pow x.im 2) 1/9) in (x.im) around 0 2.231 * [taylor]: Taking taylor expansion of (pow (pow x.im 2) 1/9) in x.im 2.231 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow x.im 2)))) in x.im 2.231 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow x.im 2))) in x.im 2.231 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.231 * [taylor]: Taking taylor expansion of (log (pow x.im 2)) in x.im 2.231 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.231 * [taylor]: Taking taylor expansion of x.im in x.im 2.232 * [taylor]: Taking taylor expansion of (pow (pow x.im 2) 1/9) in x.im 2.232 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow x.im 2)))) in x.im 2.232 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow x.im 2))) in x.im 2.232 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.232 * [taylor]: Taking taylor expansion of (log (pow x.im 2)) in x.im 2.232 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.232 * [taylor]: Taking taylor expansion of x.im in x.im 2.289 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/9) in (x.im) around 0 2.289 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/9) in x.im 2.289 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow x.im 2))))) in x.im 2.289 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow x.im 2)))) in x.im 2.289 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.289 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 2.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 2.289 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.289 * [taylor]: Taking taylor expansion of x.im in x.im 2.290 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/9) in x.im 2.290 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow x.im 2))))) in x.im 2.290 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow x.im 2)))) in x.im 2.290 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.290 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 2.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 2.290 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.290 * [taylor]: Taking taylor expansion of x.im in x.im 2.351 * [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 2.351 * [taylor]: Taking taylor expansion of (* (pow (pow (cbrt -1) 2) 1/3) (pow (/ 1 (pow x.im 2)) 1/9)) in x.im 2.351 * [taylor]: Taking taylor expansion of (pow (pow (cbrt -1) 2) 1/3) in x.im 2.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cbrt -1) 2)))) in x.im 2.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cbrt -1) 2))) in x.im 2.351 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.351 * [taylor]: Taking taylor expansion of (log (pow (cbrt -1) 2)) in x.im 2.351 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x.im 2.351 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.351 * [taylor]: Taking taylor expansion of -1 in x.im 2.358 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/9) in x.im 2.358 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow x.im 2))))) in x.im 2.358 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow x.im 2)))) in x.im 2.358 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.358 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 2.358 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.358 * [taylor]: Taking taylor expansion of x.im in x.im 2.359 * [taylor]: Taking taylor expansion of (* (pow (pow (cbrt -1) 2) 1/3) (pow (/ 1 (pow x.im 2)) 1/9)) in x.im 2.359 * [taylor]: Taking taylor expansion of (pow (pow (cbrt -1) 2) 1/3) in x.im 2.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cbrt -1) 2)))) in x.im 2.359 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cbrt -1) 2))) in x.im 2.359 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.359 * [taylor]: Taking taylor expansion of (log (pow (cbrt -1) 2)) in x.im 2.359 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x.im 2.359 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.359 * [taylor]: Taking taylor expansion of -1 in x.im 2.365 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/9) in x.im 2.365 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow x.im 2))))) in x.im 2.365 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow x.im 2)))) in x.im 2.365 * [taylor]: Taking taylor expansion of 1/9 in x.im 2.365 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 2.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 2.365 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 2.365 * [taylor]: Taking taylor expansion of x.im in x.im 2.507 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 2.508 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 2.508 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.508 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.508 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.508 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.508 * [taylor]: Taking taylor expansion of x.im in x.im 2.508 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.508 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.508 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.508 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.508 * [taylor]: Taking taylor expansion of x.im in x.im 2.563 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 2.563 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.563 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.563 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.563 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.563 * [taylor]: Taking taylor expansion of x.im in x.im 2.564 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.564 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.564 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.564 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.564 * [taylor]: Taking taylor expansion of x.im in x.im 2.615 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 2.615 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.615 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.615 * [taylor]: Taking taylor expansion of -1 in x.im 2.616 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.616 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.616 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.616 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.616 * [taylor]: Taking taylor expansion of x.im in x.im 2.616 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.617 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.617 * [taylor]: Taking taylor expansion of -1 in x.im 2.617 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.617 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.617 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.617 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.617 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.617 * [taylor]: Taking taylor expansion of x.im in x.im 2.684 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2) 2.684 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 2.684 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.684 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.684 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.684 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.684 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.684 * [taylor]: Taking taylor expansion of x.im in x.im 2.685 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.685 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.685 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.685 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.685 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.685 * [taylor]: Taking taylor expansion of x.im in x.im 2.738 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 2.738 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.738 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.738 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.738 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.738 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.738 * [taylor]: Taking taylor expansion of x.im in x.im 2.739 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.739 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.739 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.739 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.739 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.739 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.739 * [taylor]: Taking taylor expansion of x.im in x.im 2.794 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 2.795 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.795 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.795 * [taylor]: Taking taylor expansion of -1 in x.im 2.795 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.795 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.795 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.795 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.795 * [taylor]: Taking taylor expansion of x.im in x.im 2.796 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.796 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.796 * [taylor]: Taking taylor expansion of -1 in x.im 2.797 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.797 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.797 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.797 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.797 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.797 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.797 * [taylor]: Taking taylor expansion of x.im in x.im 2.865 * * * [progress]: simplifying candidates 2.866 * [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)) 2.869 * * [simplify]: iteration 0 : 112 enodes (cost 239 ) 2.871 * * [simplify]: iteration 1 : 242 enodes (cost 219 ) 2.875 * * [simplify]: iteration 2 : 759 enodes (cost 209 ) 2.891 * * [simplify]: iteration 3 : 3150 enodes (cost 209 ) 2.966 * * [simplify]: iteration 4 : 5001 enodes (cost 204 ) 2.967 * [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)) 2.968 * * * [progress]: adding candidates to table 3.211 * [progress]: [Phase 3 of 3] Extracting. 3.212 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 3.215 * * * [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) 3.215 * * * * [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 (# # # # # # # # # # # # #) 3.261 * * * * [regimes]: Trying to branch on x.im from (# # # # # # # # # # # # #) 3.305 * * * * [regimes]: Trying to branch on x.re from (# # # # # # # # # # # # #) 3.351 * * * [regime]: Found split indices: #