8.785 * [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 ) 0.116 * * [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 0.131 * * * [progress]: generating rewritten candidates 0.131 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.138 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.140 * * * [progress]: generating series expansions 0.140 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.140 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.140 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.140 * [taylor]: Taking taylor expansion of -1 in x.im 0.140 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.140 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.140 * [taylor]: Taking taylor expansion of x.im in x.im 0.140 * [taylor]: Taking taylor expansion of x.re in x.im 0.140 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.140 * [taylor]: Taking taylor expansion of -1 in x.re 0.140 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.140 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.140 * [taylor]: Taking taylor expansion of x.im in x.re 0.140 * [taylor]: Taking taylor expansion of x.re in x.re 0.140 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.140 * [taylor]: Taking taylor expansion of -1 in x.re 0.140 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.140 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.140 * [taylor]: Taking taylor expansion of x.im in x.re 0.140 * [taylor]: Taking taylor expansion of x.re in x.re 0.141 * [taylor]: Taking taylor expansion of 0 in x.im 0.142 * [taylor]: Taking taylor expansion of (- (pow x.im 2)) in x.im 0.142 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.142 * [taylor]: Taking taylor expansion of x.im in x.im 0.144 * [taylor]: Taking taylor expansion of 0 in x.im 0.146 * [taylor]: Taking taylor expansion of 0 in x.im 0.146 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.146 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.146 * [taylor]: Taking taylor expansion of -1 in x.im 0.146 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.146 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.146 * [taylor]: Taking taylor expansion of x.im in x.im 0.146 * [taylor]: Taking taylor expansion of x.re in x.im 0.147 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.147 * [taylor]: Taking taylor expansion of -1 in x.re 0.147 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.147 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.147 * [taylor]: Taking taylor expansion of x.im in x.re 0.147 * [taylor]: Taking taylor expansion of x.re in x.re 0.147 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.147 * [taylor]: Taking taylor expansion of -1 in x.re 0.147 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.147 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.147 * [taylor]: Taking taylor expansion of x.im in x.re 0.147 * [taylor]: Taking taylor expansion of x.re in x.re 0.148 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.148 * [taylor]: Taking taylor expansion of -1 in x.im 0.148 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.148 * [taylor]: Taking taylor expansion of x.im in x.im 0.149 * [taylor]: Taking taylor expansion of 0 in x.im 0.151 * [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 0.157 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.157 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.157 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.157 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.157 * [taylor]: Taking taylor expansion of x.im in x.im 0.157 * [taylor]: Taking taylor expansion of x.re in x.im 0.158 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.158 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.158 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.158 * [taylor]: Taking taylor expansion of x.im in x.re 0.158 * [taylor]: Taking taylor expansion of x.re in x.re 0.158 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.158 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.158 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.158 * [taylor]: Taking taylor expansion of x.im in x.re 0.158 * [taylor]: Taking taylor expansion of x.re in x.re 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.159 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.159 * [taylor]: Taking taylor expansion of x.im in x.im 0.160 * [taylor]: Taking taylor expansion of 0 in x.im 0.162 * [taylor]: Taking taylor expansion of 0 in x.im 0.165 * [taylor]: Taking taylor expansion of 0 in x.im 0.167 * [taylor]: Taking taylor expansion of 0 in x.im 0.168 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.168 * [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 0.168 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.im 0.168 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.168 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.im 0.168 * [taylor]: Taking taylor expansion of 3 in x.im 0.168 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.168 * [taylor]: Taking taylor expansion of -1 in x.im 0.168 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.168 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.168 * [taylor]: Taking taylor expansion of x.im in x.im 0.168 * [taylor]: Taking taylor expansion of x.re in x.im 0.168 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.168 * [taylor]: Taking taylor expansion of x.re in x.im 0.168 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.168 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.168 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.168 * [taylor]: Taking taylor expansion of 3 in x.re 0.168 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.168 * [taylor]: Taking taylor expansion of -1 in x.re 0.168 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.168 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.168 * [taylor]: Taking taylor expansion of x.im in x.re 0.168 * [taylor]: Taking taylor expansion of x.re in x.re 0.168 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.168 * [taylor]: Taking taylor expansion of x.re in x.re 0.168 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 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.re 0.169 * [taylor]: Taking taylor expansion of 3 in x.re 0.169 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.169 * [taylor]: Taking taylor expansion of -1 in x.re 0.169 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.169 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.169 * [taylor]: Taking taylor expansion of x.im in x.re 0.169 * [taylor]: Taking taylor expansion of x.re in x.re 0.169 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.169 * [taylor]: Taking taylor expansion of x.re in x.re 0.170 * [taylor]: Taking taylor expansion of 0 in x.im 0.171 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.171 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.171 * [taylor]: Taking taylor expansion of 3 in x.im 0.171 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.171 * [taylor]: Taking taylor expansion of x.im in x.im 0.173 * [taylor]: Taking taylor expansion of 0 in x.im 0.176 * [taylor]: Taking taylor expansion of 1 in x.im 0.181 * [taylor]: Taking taylor expansion of 0 in x.im 0.183 * [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 0.183 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.183 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.183 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.im 0.183 * [taylor]: Taking taylor expansion of 3 in x.im 0.183 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.183 * [taylor]: Taking taylor expansion of -1 in x.im 0.183 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.183 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.183 * [taylor]: Taking taylor expansion of x.im in x.im 0.183 * [taylor]: Taking taylor expansion of x.re in x.im 0.183 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 0.183 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.183 * [taylor]: Taking taylor expansion of x.re in x.im 0.183 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.183 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.183 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.183 * [taylor]: Taking taylor expansion of 3 in x.re 0.183 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.183 * [taylor]: Taking taylor expansion of -1 in x.re 0.183 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.183 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.183 * [taylor]: Taking taylor expansion of x.im in x.re 0.183 * [taylor]: Taking taylor expansion of x.re in x.re 0.184 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.184 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.184 * [taylor]: Taking taylor expansion of x.re in x.re 0.184 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 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.re 0.184 * [taylor]: Taking taylor expansion of 3 in x.re 0.184 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.184 * [taylor]: Taking taylor expansion of -1 in x.re 0.184 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.184 * [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 0.185 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.185 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.185 * [taylor]: Taking taylor expansion of x.re in x.re 0.186 * [taylor]: Taking taylor expansion of 1 in x.im 0.187 * [taylor]: Taking taylor expansion of 0 in x.im 0.189 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.189 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.189 * [taylor]: Taking taylor expansion of 3 in x.im 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.189 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.189 * [taylor]: Taking taylor expansion of x.im in x.im 0.193 * [taylor]: Taking taylor expansion of 0 in x.im 0.198 * [taylor]: Taking taylor expansion of 0 in x.im 0.200 * [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 0.200 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.im 0.200 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.200 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.200 * [taylor]: Taking taylor expansion of 3 in x.im 0.200 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.200 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.200 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.200 * [taylor]: Taking taylor expansion of x.im in x.im 0.200 * [taylor]: Taking taylor expansion of x.re in x.im 0.201 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.201 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.201 * [taylor]: Taking taylor expansion of -1 in x.im 0.201 * [taylor]: Taking taylor expansion of x.re in x.im 0.201 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.201 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.201 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.201 * [taylor]: Taking taylor expansion of 3 in x.re 0.201 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.201 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.201 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.201 * [taylor]: Taking taylor expansion of x.im in x.re 0.201 * [taylor]: Taking taylor expansion of x.re in x.re 0.201 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.201 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.201 * [taylor]: Taking taylor expansion of -1 in x.re 0.202 * [taylor]: Taking taylor expansion of x.re in x.re 0.202 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.202 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.202 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.202 * [taylor]: Taking taylor expansion of 3 in x.re 0.202 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.202 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.202 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.202 * [taylor]: Taking taylor expansion of x.im in x.re 0.202 * [taylor]: Taking taylor expansion of x.re in x.re 0.203 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.203 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.203 * [taylor]: Taking taylor expansion of -1 in x.re 0.203 * [taylor]: Taking taylor expansion of x.re in x.re 0.204 * [taylor]: Taking taylor expansion of -1 in x.im 0.205 * [taylor]: Taking taylor expansion of 0 in x.im 0.207 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.207 * [taylor]: Taking taylor expansion of 3 in x.im 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.207 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.207 * [taylor]: Taking taylor expansion of x.im in x.im 0.211 * [taylor]: Taking taylor expansion of 0 in x.im 0.216 * [taylor]: Taking taylor expansion of 0 in x.im 0.217 * * * [progress]: simplifying candidates 0.218 * [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 ) 0.245 * * [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 0.445 * * [progress]: iteration 2 / 4 0.445 * * * [progress]: picking best candidate 0.460 * * * * [pick]: Picked # 0.460 * * * [progress]: localizing error 0.467 * * * [progress]: generating rewritten candidates 0.467 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.468 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.475 * * * [progress]: generating series expansions 0.475 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.475 * [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 0.475 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.im 0.475 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.475 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.im 0.475 * [taylor]: Taking taylor expansion of 3 in x.im 0.475 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.475 * [taylor]: Taking taylor expansion of -1 in x.im 0.475 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.475 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.475 * [taylor]: Taking taylor expansion of x.im in x.im 0.476 * [taylor]: Taking taylor expansion of x.re in x.im 0.476 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.476 * [taylor]: Taking taylor expansion of x.re in x.im 0.476 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.476 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.476 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.476 * [taylor]: Taking taylor expansion of 3 in x.re 0.476 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.476 * [taylor]: Taking taylor expansion of -1 in x.re 0.476 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.476 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.476 * [taylor]: Taking taylor expansion of x.im in x.re 0.476 * [taylor]: Taking taylor expansion of x.re in x.re 0.476 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.476 * [taylor]: Taking taylor expansion of x.re in x.re 0.476 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.476 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.476 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.476 * [taylor]: Taking taylor expansion of 3 in x.re 0.476 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.476 * [taylor]: Taking taylor expansion of -1 in x.re 0.476 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.476 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.476 * [taylor]: Taking taylor expansion of x.im in x.re 0.476 * [taylor]: Taking taylor expansion of x.re in x.re 0.476 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.476 * [taylor]: Taking taylor expansion of x.re in x.re 0.477 * [taylor]: Taking taylor expansion of 0 in x.im 0.478 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.478 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.478 * [taylor]: Taking taylor expansion of 3 in x.im 0.478 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.478 * [taylor]: Taking taylor expansion of x.im in x.im 0.480 * [taylor]: Taking taylor expansion of 0 in x.im 0.484 * [taylor]: Taking taylor expansion of 1 in x.im 0.488 * [taylor]: Taking taylor expansion of 0 in x.im 0.490 * [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 0.490 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.490 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.490 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.im 0.490 * [taylor]: Taking taylor expansion of 3 in x.im 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 (pow (/ 1 x.re) 3) in x.im 0.490 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.490 * [taylor]: Taking taylor expansion of x.re in x.im 0.490 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.490 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.491 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.491 * [taylor]: Taking taylor expansion of 3 in x.re 0.491 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.491 * [taylor]: Taking taylor expansion of -1 in x.re 0.491 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.491 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.491 * [taylor]: Taking taylor expansion of x.im in x.re 0.491 * [taylor]: Taking taylor expansion of x.re in x.re 0.491 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.491 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.491 * [taylor]: Taking taylor expansion of x.re in x.re 0.491 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.492 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.492 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.492 * [taylor]: Taking taylor expansion of 3 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 0.492 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.492 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.492 * [taylor]: Taking taylor expansion of x.re in x.re 0.493 * [taylor]: Taking taylor expansion of 1 in x.im 0.494 * [taylor]: Taking taylor expansion of 0 in x.im 0.496 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.496 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.496 * [taylor]: Taking taylor expansion of 3 in x.im 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) 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 0.500 * [taylor]: Taking taylor expansion of 0 in x.im 0.505 * [taylor]: Taking taylor expansion of 0 in x.im 0.508 * [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 0.508 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.im 0.508 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.508 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.508 * [taylor]: Taking taylor expansion of 3 in x.im 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 (pow (/ -1 x.re) 3) in x.im 0.508 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.508 * [taylor]: Taking taylor expansion of -1 in x.im 0.508 * [taylor]: Taking taylor expansion of x.re in x.im 0.508 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.508 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.508 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.508 * [taylor]: Taking taylor expansion of 3 in x.re 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 (pow (/ -1 x.re) 3) in x.re 0.509 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.509 * [taylor]: Taking taylor expansion of -1 in x.re 0.509 * [taylor]: Taking taylor expansion of x.re in x.re 0.509 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.509 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.509 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.509 * [taylor]: Taking taylor expansion of 3 in x.re 0.509 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.510 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.510 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.510 * [taylor]: Taking taylor expansion of x.im in x.re 0.510 * [taylor]: Taking taylor expansion of x.re in x.re 0.510 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.510 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.510 * [taylor]: Taking taylor expansion of -1 in x.re 0.510 * [taylor]: Taking taylor expansion of x.re in x.re 0.511 * [taylor]: Taking taylor expansion of -1 in x.im 0.513 * [taylor]: Taking taylor expansion of 0 in x.im 0.514 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) 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)) 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 0.518 * [taylor]: Taking taylor expansion of 0 in x.im 0.523 * [taylor]: Taking taylor expansion of 0 in x.im 0.525 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.525 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.525 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.525 * [taylor]: Taking taylor expansion of -1 in x.im 0.525 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.525 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.525 * [taylor]: Taking taylor expansion of x.im in x.im 0.525 * [taylor]: Taking taylor expansion of x.re in x.im 0.525 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.525 * [taylor]: Taking taylor expansion of -1 in x.re 0.525 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.525 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.525 * [taylor]: Taking taylor expansion of x.im in x.re 0.525 * [taylor]: Taking taylor expansion of x.re in x.re 0.525 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.525 * [taylor]: Taking taylor expansion of -1 in x.re 0.525 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.525 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.525 * [taylor]: Taking taylor expansion of x.im in x.re 0.525 * [taylor]: Taking taylor expansion of x.re in x.re 0.526 * [taylor]: Taking taylor expansion of 0 in x.im 0.526 * [taylor]: Taking taylor expansion of (- (pow x.im 2)) in x.im 0.526 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.526 * [taylor]: Taking taylor expansion of x.im in x.im 0.530 * [taylor]: Taking taylor expansion of 0 in x.im 0.533 * [taylor]: Taking taylor expansion of 0 in x.im 0.533 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.533 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.533 * [taylor]: Taking taylor expansion of -1 in x.im 0.533 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.533 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.533 * [taylor]: Taking taylor expansion of x.im in x.im 0.533 * [taylor]: Taking taylor expansion of x.re in x.im 0.534 * [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 0.534 * [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 (/ -1 (pow x.im 2)) in x.im 0.535 * [taylor]: Taking taylor expansion of -1 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 0.536 * [taylor]: Taking taylor expansion of 0 in x.im 0.538 * [taylor]: Taking taylor expansion of 0 in x.im 0.541 * [taylor]: Taking taylor expansion of 0 in x.im 0.544 * [taylor]: Taking taylor expansion of 0 in x.im 0.544 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.544 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.544 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.544 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.544 * [taylor]: Taking taylor expansion of x.im in x.im 0.544 * [taylor]: Taking taylor expansion of x.re in x.im 0.545 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.545 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.545 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.545 * [taylor]: Taking taylor expansion of x.im in x.re 0.545 * [taylor]: Taking taylor expansion of x.re in x.re 0.545 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.545 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.545 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.545 * [taylor]: Taking taylor expansion of x.im in x.re 0.545 * [taylor]: Taking taylor expansion of x.re in x.re 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.546 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.546 * [taylor]: Taking taylor expansion of x.im in x.im 0.547 * [taylor]: Taking taylor expansion of 0 in x.im 0.549 * [taylor]: Taking taylor expansion of 0 in x.im 0.551 * [taylor]: Taking taylor expansion of 0 in x.im 0.555 * [taylor]: Taking taylor expansion of 0 in x.im 0.555 * * * [progress]: simplifying candidates 0.555 * [simplify]: Simplifying using # : (expm1 (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (log1p (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (* 3 (* (* x.re x.im) (- x.im))) (log (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (exp (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (* (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3)))) (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (* (* (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3)) (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (sqrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (sqrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (expm1 (* (* x.re x.im) (- x.im))) (log1p (* (* x.re x.im) (- x.im))) (* (* x.re x.im) (- x.im)) (* (* x.re x.im) (- x.im)) (+ (+ (log x.re) (log x.im)) (log (- x.im))) (+ (log (* x.re x.im)) (log (- x.im))) (log (* (* x.re x.im) (- x.im))) (exp (* (* x.re x.im) (- x.im))) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* (- x.im) (- x.im)) (- x.im))) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* (- x.im) (- x.im)) (- x.im))) (* (cbrt (* (* x.re x.im) (- x.im))) (cbrt (* (* x.re x.im) (- x.im)))) (cbrt (* (* x.re x.im) (- x.im))) (* (* (* (* x.re x.im) (- x.im)) (* (* x.re x.im) (- x.im))) (* (* x.re x.im) (- x.im))) (sqrt (* (* x.re x.im) (- x.im))) (sqrt (* (* x.re x.im) (- x.im))) (* (* x.re x.im) x.im) (* (* x.re x.im) (* (cbrt (- x.im)) (cbrt (- x.im)))) (* (* x.re x.im) (sqrt (- x.im))) (* (* x.re x.im) 1) (* (* x.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)) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) 0.559 * * [simplify]: iteration 0 : 186 enodes (cost 216 ) 0.563 * * [simplify]: iteration 1 : 1009 enodes (cost 190 ) 0.590 * * [simplify]: iteration 2 : 5002 enodes (cost 185 ) 0.591 * [simplify]: Simplified to: (expm1 (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (log1p (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (* -3 (* (* x.re x.im) x.im)) (log (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (exp (fma -3 (* (* x.re x.im) x.im) (pow x.re 3))) (* (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3)))) (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (pow (fma -3 (* (* x.re x.im) x.im) (pow x.re 3)) 3) (sqrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (sqrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (expm1 (* (* x.re x.im) (- x.im))) (log1p (* (* x.re x.im) (- x.im))) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (log (* (* x.re x.im) (- x.im))) (log (* (* x.re x.im) (- x.im))) (log (* (* x.re x.im) (- x.im))) (exp (* (* x.re x.im) (- x.im))) (pow (* -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)) (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)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) 0.592 * * * [progress]: adding candidates to table 0.683 * * [progress]: iteration 3 / 4 0.683 * * * [progress]: picking best candidate 0.701 * * * * [pick]: Picked # 0.701 * * * [progress]: localizing error 0.708 * * * [progress]: generating rewritten candidates 0.708 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.715 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.721 * * * [progress]: generating series expansions 0.721 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.721 * [approximate]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.721 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.im 0.721 * [taylor]: Taking taylor expansion of -3 in x.im 0.721 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.721 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.721 * [taylor]: Taking taylor expansion of x.im in x.im 0.721 * [taylor]: Taking taylor expansion of x.re in x.im 0.721 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.721 * [taylor]: Taking taylor expansion of -3 in x.re 0.721 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.721 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.721 * [taylor]: Taking taylor expansion of x.im in x.re 0.721 * [taylor]: Taking taylor expansion of x.re in x.re 0.721 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.721 * [taylor]: Taking taylor expansion of -3 in x.re 0.721 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.721 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.721 * [taylor]: Taking taylor expansion of x.im in x.re 0.721 * [taylor]: Taking taylor expansion of x.re in x.re 0.722 * [taylor]: Taking taylor expansion of 0 in x.im 0.723 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.723 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.723 * [taylor]: Taking taylor expansion of 3 in x.im 0.723 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.723 * [taylor]: Taking taylor expansion of x.im in x.im 0.725 * [taylor]: Taking taylor expansion of 0 in x.im 0.727 * [taylor]: Taking taylor expansion of 0 in x.im 0.728 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.728 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.728 * [taylor]: Taking taylor expansion of -3 in x.im 0.728 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.728 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.728 * [taylor]: Taking taylor expansion of x.im in x.im 0.728 * [taylor]: Taking taylor expansion of x.re in x.im 0.728 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.728 * [taylor]: Taking taylor expansion of -3 in x.re 0.728 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.728 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.728 * [taylor]: Taking taylor expansion of x.im in x.re 0.728 * [taylor]: Taking taylor expansion of x.re in x.re 0.729 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.729 * [taylor]: Taking taylor expansion of -3 in x.re 0.729 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.729 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.729 * [taylor]: Taking taylor expansion of x.im in x.re 0.729 * [taylor]: Taking taylor expansion of x.re in x.re 0.729 * [taylor]: Taking taylor expansion of (/ -3 (pow x.im 2)) in x.im 0.729 * [taylor]: Taking taylor expansion of -3 in x.im 0.729 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.729 * [taylor]: Taking taylor expansion of x.im in x.im 0.731 * [taylor]: Taking taylor expansion of 0 in x.im 0.733 * [taylor]: Taking taylor expansion of 0 in x.im 0.736 * [taylor]: Taking taylor expansion of 0 in x.im 0.739 * [taylor]: Taking taylor expansion of 0 in x.im 0.739 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.739 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.739 * [taylor]: Taking taylor expansion of 3 in x.im 0.739 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.739 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.739 * [taylor]: Taking taylor expansion of x.im in x.im 0.739 * [taylor]: Taking taylor expansion of x.re in x.im 0.739 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.739 * [taylor]: Taking taylor expansion of 3 in x.re 0.739 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.739 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.739 * [taylor]: Taking taylor expansion of x.im in x.re 0.739 * [taylor]: Taking taylor expansion of x.re in x.re 0.740 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.740 * [taylor]: Taking taylor expansion of 3 in x.re 0.740 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.740 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.740 * [taylor]: Taking taylor expansion of x.im in x.re 0.740 * [taylor]: Taking taylor expansion of x.re in x.re 0.741 * [taylor]: Taking taylor expansion of (/ 3 (pow x.im 2)) in x.im 0.741 * [taylor]: Taking taylor expansion of 3 in x.im 0.741 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.741 * [taylor]: Taking taylor expansion of x.im in x.im 0.742 * [taylor]: Taking taylor expansion of 0 in x.im 0.747 * [taylor]: Taking taylor expansion of 0 in x.im 0.749 * [taylor]: Taking taylor expansion of 0 in x.im 0.752 * [taylor]: Taking taylor expansion of 0 in x.im 0.753 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.753 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.re x.im) around 0 0.753 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.753 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.753 * [taylor]: Taking taylor expansion of x.im in x.im 0.753 * [taylor]: Taking taylor expansion of x.re in x.im 0.753 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.753 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.753 * [taylor]: Taking taylor expansion of x.im in x.re 0.753 * [taylor]: Taking taylor expansion of x.re in x.re 0.753 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.753 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.753 * [taylor]: Taking taylor expansion of x.im in x.re 0.753 * [taylor]: Taking taylor expansion of x.re in x.re 0.753 * [taylor]: Taking taylor expansion of 0 in x.im 0.753 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.753 * [taylor]: Taking taylor expansion of x.im in x.im 0.754 * [taylor]: Taking taylor expansion of 0 in x.im 0.756 * [taylor]: Taking taylor expansion of 0 in x.im 0.756 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.756 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.756 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.756 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.756 * [taylor]: Taking taylor expansion of x.im in x.im 0.756 * [taylor]: Taking taylor expansion of x.re in x.im 0.756 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.756 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.756 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.756 * [taylor]: Taking taylor expansion of x.im in x.re 0.756 * [taylor]: Taking taylor expansion of x.re in x.re 0.757 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.757 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.757 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.757 * [taylor]: Taking taylor expansion of x.im in x.re 0.757 * [taylor]: Taking taylor expansion of x.re in x.re 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.758 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.758 * [taylor]: Taking taylor expansion of x.im in x.im 0.759 * [taylor]: Taking taylor expansion of 0 in x.im 0.761 * [taylor]: Taking taylor expansion of 0 in x.im 0.763 * [taylor]: Taking taylor expansion of 0 in x.im 0.766 * [taylor]: Taking taylor expansion of 0 in x.im 0.767 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.767 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.767 * [taylor]: Taking taylor expansion of -1 in x.im 0.767 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.767 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.767 * [taylor]: Taking taylor expansion of x.im in x.im 0.767 * [taylor]: Taking taylor expansion of x.re in x.im 0.767 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.767 * [taylor]: Taking taylor expansion of -1 in x.re 0.767 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.767 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.767 * [taylor]: Taking taylor expansion of x.im in x.re 0.767 * [taylor]: Taking taylor expansion of x.re in x.re 0.768 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.768 * [taylor]: Taking taylor expansion of -1 in x.re 0.768 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.768 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.768 * [taylor]: Taking taylor expansion of x.im in x.re 0.768 * [taylor]: Taking taylor expansion of x.re in x.re 0.768 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.768 * [taylor]: Taking taylor expansion of -1 in x.im 0.768 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.768 * [taylor]: Taking taylor expansion of x.im in x.im 0.770 * [taylor]: Taking taylor expansion of 0 in x.im 0.772 * [taylor]: Taking taylor expansion of 0 in x.im 0.774 * [taylor]: Taking taylor expansion of 0 in x.im 0.777 * [taylor]: Taking taylor expansion of 0 in x.im 0.778 * * * [progress]: simplifying candidates 0.778 * [simplify]: Simplifying using # : (expm1 (* -3 (* (* x.re x.im) x.im))) (log1p (* -3 (* (* x.re x.im) x.im))) (* -3 (* (* x.re x.im) x.im)) (* -3 (* (* x.re x.im) x.im)) (* -3 (* (* x.re x.im) x.im)) (+ (log -3) (+ (+ (log x.re) (log x.im)) (log x.im))) (+ (log -3) (+ (log (* x.re x.im)) (log x.im))) (+ (log -3) (log (* (* x.re x.im) x.im))) (log (* -3 (* (* x.re x.im) x.im))) (exp (* -3 (* (* x.re x.im) x.im))) (* (* (* -3 -3) -3) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* x.im x.im) x.im))) (* (* (* -3 -3) -3) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* x.im x.im) x.im))) (* (* (* -3 -3) -3) (* (* (* (* x.re x.im) x.im) (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im))) (* (cbrt (* -3 (* (* x.re x.im) x.im))) (cbrt (* -3 (* (* x.re x.im) x.im)))) (cbrt (* -3 (* (* x.re x.im) x.im))) (* (* (* -3 (* (* x.re x.im) x.im)) (* -3 (* (* x.re x.im) x.im))) (* -3 (* (* x.re x.im) x.im))) (sqrt (* -3 (* (* x.re x.im) x.im))) (sqrt (* -3 (* (* x.re x.im) x.im))) (* -3 (* x.re x.im)) (* (cbrt -3) (* (* x.re x.im) x.im)) (* (sqrt -3) (* (* x.re x.im) x.im)) (* -3 (* (* x.re x.im) x.im)) (expm1 (* (* x.re x.im) x.im)) (log1p (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) (+ (+ (log x.re) (log x.im)) (log x.im)) (+ (log (* x.re x.im)) (log x.im)) (log (* (* x.re x.im) x.im)) (exp (* (* x.re x.im) x.im)) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* x.im x.im) x.im)) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* x.im x.im) x.im)) (* (cbrt (* (* x.re x.im) x.im)) (cbrt (* (* x.re x.im) x.im))) (cbrt (* (* x.re x.im) x.im)) (* (* (* (* x.re x.im) x.im) (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im)) (sqrt (* (* x.re x.im) x.im)) (sqrt (* (* x.re x.im) x.im)) (* (* x.re x.im) (* (cbrt x.im) (cbrt x.im))) (* (* x.re x.im) (sqrt x.im)) (* (* x.re x.im) 1) (* x.im x.im) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) 0.782 * * [simplify]: iteration 0 : 170 enodes (cost 195 ) 0.786 * * [simplify]: iteration 1 : 863 enodes (cost 159 ) 0.809 * * [simplify]: iteration 2 : 5002 enodes (cost 159 ) 0.810 * [simplify]: Simplified to: (expm1 (* -3 (* (* x.re x.im) x.im))) (log1p (* -3 (* (* x.re x.im) x.im))) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (log (* -3 (* (* x.re x.im) x.im))) (log (* -3 (* (* x.re x.im) x.im))) (log (* -3 (* (* x.re x.im) x.im))) (log (* -3 (* (* x.re x.im) x.im))) (exp (* -3 (* (* x.re x.im) x.im))) (pow (* -3 (* (pow x.im 2) x.re)) 3) (pow (* -3 (* (pow x.im 2) x.re)) 3) (pow (* -3 (* (pow x.im 2) x.re)) 3) (* (cbrt (* -3 (* (* x.re x.im) x.im))) (cbrt (* -3 (* (* x.re x.im) x.im)))) (cbrt (* -3 (* (* x.re x.im) x.im))) (pow (* -3 (* (pow x.im 2) x.re)) 3) (sqrt (* -3 (* (* x.re x.im) x.im))) (sqrt (* -3 (* (* x.re x.im) x.im))) (* -3 (* x.re x.im)) (* (cbrt -3) (* (* x.re x.im) x.im)) (* (sqrt -3) (* (* x.re x.im) x.im)) (* -3 (* (pow x.im 2) x.re)) (expm1 (* (* x.re x.im) x.im)) (log1p (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) (log (* (* x.re x.im) x.im)) (log (* (* x.re x.im) x.im)) (log (* (* x.re x.im) x.im)) (exp (* (* x.re x.im) x.im)) (pow (* (* x.re x.im) x.im) 3) (pow (* (* x.re x.im) x.im) 3) (* (cbrt (* (* x.re x.im) x.im)) (cbrt (* (* x.re x.im) x.im))) (cbrt (* (* x.re x.im) x.im)) (pow (* (* x.re x.im) x.im) 3) (sqrt (* (* x.re x.im) x.im)) (sqrt (* (* x.re x.im) x.im)) (* (* x.re x.im) (* (cbrt x.im) (cbrt x.im))) (* (* x.re x.im) (sqrt x.im)) (* x.re x.im) (pow x.im 2) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) 0.810 * * * [progress]: adding candidates to table 0.891 * * [progress]: iteration 4 / 4 0.891 * * * [progress]: picking best candidate 0.904 * * * * [pick]: Picked # 0.904 * * * [progress]: localizing error 0.911 * * * [progress]: generating rewritten candidates 0.911 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.916 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.924 * * * [progress]: generating series expansions 0.924 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.924 * [approximate]: Taking taylor expansion of (* -3 (* x.im x.re)) in (x.re x.im) around 0 0.924 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.im 0.924 * [taylor]: Taking taylor expansion of -3 in x.im 0.924 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.924 * [taylor]: Taking taylor expansion of x.im in x.im 0.924 * [taylor]: Taking taylor expansion of x.re in x.im 0.924 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 0.924 * [taylor]: Taking taylor expansion of -3 in x.re 0.924 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.924 * [taylor]: Taking taylor expansion of x.im in x.re 0.925 * [taylor]: Taking taylor expansion of x.re in x.re 0.925 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 0.925 * [taylor]: Taking taylor expansion of -3 in x.re 0.925 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.925 * [taylor]: Taking taylor expansion of x.im in x.re 0.925 * [taylor]: Taking taylor expansion of x.re in x.re 0.925 * [taylor]: Taking taylor expansion of 0 in x.im 0.926 * [taylor]: Taking taylor expansion of (- (* 3 x.im)) in x.im 0.926 * [taylor]: Taking taylor expansion of (* 3 x.im) in x.im 0.926 * [taylor]: Taking taylor expansion of 3 in x.im 0.926 * [taylor]: Taking taylor expansion of x.im in x.im 0.927 * [taylor]: Taking taylor expansion of 0 in x.im 0.929 * [taylor]: Taking taylor expansion of 0 in x.im 0.931 * [taylor]: Taking taylor expansion of 0 in x.im 0.931 * [approximate]: Taking taylor expansion of (/ -3 (* x.im x.re)) in (x.re x.im) around 0 0.931 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 0.931 * [taylor]: Taking taylor expansion of -3 in x.im 0.931 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.931 * [taylor]: Taking taylor expansion of x.im in x.im 0.931 * [taylor]: Taking taylor expansion of x.re in x.im 0.931 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 0.931 * [taylor]: Taking taylor expansion of -3 in x.re 0.932 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.932 * [taylor]: Taking taylor expansion of x.im in x.re 0.932 * [taylor]: Taking taylor expansion of x.re in x.re 0.932 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 0.932 * [taylor]: Taking taylor expansion of -3 in x.re 0.932 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.932 * [taylor]: Taking taylor expansion of x.im in x.re 0.932 * [taylor]: Taking taylor expansion of x.re in x.re 0.932 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 0.932 * [taylor]: Taking taylor expansion of -3 in x.im 0.932 * [taylor]: Taking taylor expansion of x.im in x.im 0.933 * [taylor]: Taking taylor expansion of 0 in x.im 0.934 * [taylor]: Taking taylor expansion of 0 in x.im 0.935 * [taylor]: Taking taylor expansion of 0 in x.im 0.936 * [approximate]: Taking taylor expansion of (/ -3 (* x.im x.re)) in (x.re x.im) around 0 0.936 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 0.936 * [taylor]: Taking taylor expansion of -3 in x.im 0.936 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.936 * [taylor]: Taking taylor expansion of x.im in x.im 0.936 * [taylor]: Taking taylor expansion of x.re in x.im 0.936 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 0.936 * [taylor]: Taking taylor expansion of -3 in x.re 0.936 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.936 * [taylor]: Taking taylor expansion of x.im in x.re 0.936 * [taylor]: Taking taylor expansion of x.re in x.re 0.937 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 0.937 * [taylor]: Taking taylor expansion of -3 in x.re 0.937 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.937 * [taylor]: Taking taylor expansion of x.im in x.re 0.937 * [taylor]: Taking taylor expansion of x.re in x.re 0.937 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 0.937 * [taylor]: Taking taylor expansion of -3 in x.im 0.937 * [taylor]: Taking taylor expansion of x.im in x.im 0.938 * [taylor]: Taking taylor expansion of 0 in x.im 0.939 * [taylor]: Taking taylor expansion of 0 in x.im 0.940 * [taylor]: Taking taylor expansion of 0 in x.im 0.941 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.941 * [approximate]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.941 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.im 0.941 * [taylor]: Taking taylor expansion of -3 in x.im 0.941 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.941 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.941 * [taylor]: Taking taylor expansion of x.im in x.im 0.941 * [taylor]: Taking taylor expansion of x.re in x.im 0.941 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.941 * [taylor]: Taking taylor expansion of -3 in x.re 0.941 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.941 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.941 * [taylor]: Taking taylor expansion of x.im in x.re 0.941 * [taylor]: Taking taylor expansion of x.re in x.re 0.941 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.941 * [taylor]: Taking taylor expansion of -3 in x.re 0.941 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.941 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.941 * [taylor]: Taking taylor expansion of x.im in x.re 0.941 * [taylor]: Taking taylor expansion of x.re in x.re 0.942 * [taylor]: Taking taylor expansion of 0 in x.im 0.942 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.942 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.942 * [taylor]: Taking taylor expansion of 3 in x.im 0.942 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.942 * [taylor]: Taking taylor expansion of x.im in x.im 0.944 * [taylor]: Taking taylor expansion of 0 in x.im 0.947 * [taylor]: Taking taylor expansion of 0 in x.im 0.947 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.947 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.947 * [taylor]: Taking taylor expansion of -3 in x.im 0.947 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.947 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.947 * [taylor]: Taking taylor expansion of x.im in x.im 0.947 * [taylor]: Taking taylor expansion of x.re in x.im 0.948 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.948 * [taylor]: Taking taylor expansion of -3 in x.re 0.948 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.948 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.948 * [taylor]: Taking taylor expansion of x.im in x.re 0.948 * [taylor]: Taking taylor expansion of x.re in x.re 0.948 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.948 * [taylor]: Taking taylor expansion of -3 in x.re 0.948 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.948 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.948 * [taylor]: Taking taylor expansion of x.im in x.re 0.948 * [taylor]: Taking taylor expansion of x.re in x.re 0.949 * [taylor]: Taking taylor expansion of (/ -3 (pow x.im 2)) in x.im 0.949 * [taylor]: Taking taylor expansion of -3 in x.im 0.949 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.949 * [taylor]: Taking taylor expansion of x.im in x.im 0.950 * [taylor]: Taking taylor expansion of 0 in x.im 0.952 * [taylor]: Taking taylor expansion of 0 in x.im 0.955 * [taylor]: Taking taylor expansion of 0 in x.im 0.958 * [taylor]: Taking taylor expansion of 0 in x.im 0.958 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.958 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.958 * [taylor]: Taking taylor expansion of 3 in x.im 0.958 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.958 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.958 * [taylor]: Taking taylor expansion of x.im in x.im 0.958 * [taylor]: Taking taylor expansion of x.re in x.im 0.959 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.959 * [taylor]: Taking taylor expansion of 3 in x.re 0.959 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.959 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.959 * [taylor]: Taking taylor expansion of x.im in x.re 0.959 * [taylor]: Taking taylor expansion of x.re in x.re 0.959 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.959 * [taylor]: Taking taylor expansion of 3 in x.re 0.959 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.959 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.959 * [taylor]: Taking taylor expansion of x.im in x.re 0.959 * [taylor]: Taking taylor expansion of x.re in x.re 0.960 * [taylor]: Taking taylor expansion of (/ 3 (pow x.im 2)) in x.im 0.960 * [taylor]: Taking taylor expansion of 3 in x.im 0.960 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.960 * [taylor]: Taking taylor expansion of x.im in x.im 0.961 * [taylor]: Taking taylor expansion of 0 in x.im 0.963 * [taylor]: Taking taylor expansion of 0 in x.im 0.969 * [taylor]: Taking taylor expansion of 0 in x.im 0.972 * [taylor]: Taking taylor expansion of 0 in x.im 0.972 * * * [progress]: simplifying candidates 0.973 * [simplify]: Simplifying using # : (expm1 (* -3 (* x.re x.im))) (log1p (* -3 (* x.re x.im))) (* -3 (* x.re x.im)) (* -3 (* x.re x.im)) (+ (log -3) (+ (log x.re) (log x.im))) (+ (log -3) (log (* x.re x.im))) (log (* -3 (* x.re x.im))) (exp (* -3 (* x.re x.im))) (* (* (* -3 -3) -3) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* (* -3 -3) -3) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (cbrt (* -3 (* x.re x.im))) (cbrt (* -3 (* x.re x.im)))) (cbrt (* -3 (* x.re x.im))) (* (* (* -3 (* x.re x.im)) (* -3 (* x.re x.im))) (* -3 (* x.re x.im))) (sqrt (* -3 (* x.re x.im))) (sqrt (* -3 (* x.re x.im))) (* -3 x.re) (* (cbrt -3) (* x.re x.im)) (* (sqrt -3) (* x.re x.im)) (* -3 (* x.re x.im)) (expm1 (* (* -3 (* x.re x.im)) x.im)) (log1p (* (* -3 (* x.re x.im)) x.im)) (* (* -3 (* x.re x.im)) x.im) (* (* -3 (* x.re x.im)) x.im) (* (* -3 (* x.re x.im)) x.im) (+ (+ (log -3) (+ (log x.re) (log x.im))) (log x.im)) (+ (+ (log -3) (log (* x.re x.im))) (log x.im)) (+ (log (* -3 (* x.re x.im))) (log x.im)) (log (* (* -3 (* x.re x.im)) x.im)) (exp (* (* -3 (* x.re x.im)) x.im)) (* (* (* (* -3 -3) -3) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* x.im x.im) x.im)) (* (* (* (* -3 -3) -3) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (* x.im x.im) x.im)) (* (* (* (* -3 (* x.re x.im)) (* -3 (* x.re x.im))) (* -3 (* x.re x.im))) (* (* x.im x.im) x.im)) (* (cbrt (* (* -3 (* x.re x.im)) x.im)) (cbrt (* (* -3 (* x.re x.im)) x.im))) (cbrt (* (* -3 (* x.re x.im)) x.im)) (* (* (* (* -3 (* x.re x.im)) x.im) (* (* -3 (* x.re x.im)) x.im)) (* (* -3 (* x.re x.im)) x.im)) (sqrt (* (* -3 (* x.re x.im)) x.im)) (sqrt (* (* -3 (* x.re x.im)) x.im)) (* (* -3 (* x.re x.im)) (* (cbrt x.im) (cbrt x.im))) (* (* -3 (* x.re x.im)) (sqrt x.im)) (* (* -3 (* x.re x.im)) 1) (* (* x.re x.im) x.im) (* -3 (* x.im x.re)) (* -3 (* x.im x.re)) (* -3 (* x.im x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) 0.976 * * [simplify]: iteration 0 : 174 enodes (cost 191 ) 0.981 * * [simplify]: iteration 1 : 898 enodes (cost 159 ) 1.005 * * [simplify]: iteration 2 : 5001 enodes (cost 159 ) 1.007 * [simplify]: Simplified to: (expm1 (* -3 (* x.re x.im))) (log1p (* -3 (* x.re x.im))) (* -3 (* x.re x.im)) (* -3 (* x.re x.im)) (log (* -3 (* x.re x.im))) (log (* -3 (* x.re x.im))) (log (* -3 (* x.re x.im))) (exp (* -3 (* x.re x.im))) (pow (* -3 (* x.re x.im)) 3) (pow (* -3 (* x.re x.im)) 3) (* (cbrt (* -3 (* x.re x.im))) (cbrt (* -3 (* x.re x.im)))) (cbrt (* -3 (* x.re x.im))) (pow (* -3 (* x.re x.im)) 3) (sqrt (* -3 (* x.re x.im))) (sqrt (* -3 (* x.re x.im))) (* -3 x.re) (* (cbrt -3) (* x.re x.im)) (* (sqrt -3) (* x.re x.im)) (* -3 (* x.re x.im)) (expm1 (* (* -3 (* x.re x.im)) x.im)) (log1p (* (* -3 (* x.re x.im)) x.im)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (log (* (* -3 (* x.re x.im)) x.im)) (log (* (* -3 (* x.re x.im)) x.im)) (log (* (* -3 (* x.re x.im)) x.im)) (log (* (* -3 (* x.re x.im)) x.im)) (exp (* (* -3 (* x.re x.im)) x.im)) (pow (* -3 (* (pow x.im 2) x.re)) 3) (pow (* -3 (* (pow x.im 2) x.re)) 3) (pow (* -3 (* (pow x.im 2) x.re)) 3) (* (cbrt (* (* -3 (* x.re x.im)) x.im)) (cbrt (* (* -3 (* x.re x.im)) x.im))) (cbrt (* (* -3 (* x.re x.im)) x.im)) (pow (* -3 (* (pow x.im 2) x.re)) 3) (sqrt (* (* -3 (* x.re x.im)) x.im)) (sqrt (* (* -3 (* x.re x.im)) x.im)) (* (* -3 (* x.re x.im)) (* (cbrt x.im) (cbrt x.im))) (* (* -3 (* x.re x.im)) (sqrt x.im)) (* -3 (* x.re x.im)) (* (* x.re x.im) x.im) (* -3 (* x.re x.im)) (* -3 (* x.re x.im)) (* -3 (* x.re x.im)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) 1.007 * * * [progress]: adding candidates to table 1.079 * [progress]: [Phase 3 of 3] Extracting. 1.079 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.080 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 1.080 * * * * [regimes]: Trying to branch on x.im from (# # # # # # #) 1.104 * * * * [regimes]: Trying to branch on x.re from (# # # # # # #) 1.127 * * * [regime]: Found split indices: #