25.693 * [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)) 0.030 * * [simplify]: iteration 0 : 24 enodes (cost 9 ) 0.031 * * [simplify]: iteration 1 : 61 enodes (cost 9 ) 0.033 * * [simplify]: iteration 2 : 168 enodes (cost 8 ) 0.037 * * [simplify]: iteration 3 : 483 enodes (cost 6 ) 0.046 * * [simplify]: iteration 4 : 1418 enodes (cost 5 ) 0.068 * * [simplify]: iteration 5 : 3857 enodes (cost 5 ) 0.117 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.118 * [simplify]: Simplified to: (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3)) 0.121 * * [progress]: iteration 1 / 4 0.121 * * * [progress]: picking best candidate 0.124 * * * * [pick]: Picked # 0.124 * * * [progress]: localizing error 0.132 * * * [progress]: generating rewritten candidates 0.132 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.137 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.138 * * * [progress]: generating series expansions 0.138 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.138 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.138 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.138 * [taylor]: Taking taylor expansion of -1 in x.im 0.138 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) 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 0.138 * [taylor]: Taking taylor expansion of x.re in x.im 0.138 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.138 * [taylor]: Taking taylor expansion of -1 in x.re 0.138 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.138 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.138 * [taylor]: Taking taylor expansion of x.im in x.re 0.138 * [taylor]: Taking taylor expansion of x.re in x.re 0.138 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.138 * [taylor]: Taking taylor expansion of -1 in x.re 0.138 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.138 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.138 * [taylor]: Taking taylor expansion of x.im in x.re 0.138 * [taylor]: Taking taylor expansion of x.re in x.re 0.139 * [taylor]: Taking taylor expansion of 0 in x.im 0.140 * [taylor]: Taking taylor expansion of (- (pow x.im 2)) 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 0.142 * [taylor]: Taking taylor expansion of 0 in x.im 0.144 * [taylor]: Taking taylor expansion of 0 in x.im 0.144 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.144 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.144 * [taylor]: Taking taylor expansion of -1 in x.im 0.144 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.144 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.144 * [taylor]: Taking taylor expansion of x.im in x.im 0.144 * [taylor]: Taking taylor expansion of x.re in x.im 0.145 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.145 * [taylor]: Taking taylor expansion of -1 in x.re 0.145 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.145 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.145 * [taylor]: Taking taylor expansion of x.im in x.re 0.145 * [taylor]: Taking taylor expansion of x.re in x.re 0.145 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.145 * [taylor]: Taking taylor expansion of -1 in x.re 0.145 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.145 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.145 * [taylor]: Taking taylor expansion of x.im in x.re 0.145 * [taylor]: Taking taylor expansion of x.re in x.re 0.146 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) 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) in x.im 0.146 * [taylor]: Taking taylor expansion of x.im in x.im 0.147 * [taylor]: Taking taylor expansion of 0 in x.im 0.149 * [taylor]: Taking taylor expansion of 0 in x.im 0.156 * [taylor]: Taking taylor expansion of 0 in x.im 0.159 * [taylor]: Taking taylor expansion of 0 in x.im 0.159 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.159 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.159 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) 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 0.159 * [taylor]: Taking taylor expansion of x.re in x.im 0.159 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.159 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.159 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.159 * [taylor]: Taking taylor expansion of x.im in x.re 0.159 * [taylor]: Taking taylor expansion of x.re in x.re 0.160 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.160 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.160 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.160 * [taylor]: Taking taylor expansion of x.im in x.re 0.160 * [taylor]: Taking taylor expansion of x.re in x.re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.161 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.161 * [taylor]: Taking taylor expansion of x.im in x.im 0.162 * [taylor]: Taking taylor expansion of 0 in x.im 0.164 * [taylor]: Taking taylor expansion of 0 in x.im 0.167 * [taylor]: Taking taylor expansion of 0 in x.im 0.170 * [taylor]: Taking taylor expansion of 0 in x.im 0.170 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.170 * [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 0.170 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.im 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.im 0.170 * [taylor]: Taking taylor expansion of 3 in x.im 0.170 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.170 * [taylor]: Taking taylor expansion of -1 in x.im 0.170 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.170 * [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 0.171 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.171 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.171 * [taylor]: Taking taylor expansion of 3 in x.re 0.171 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.171 * [taylor]: Taking taylor expansion of -1 in x.re 0.171 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.171 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.171 * [taylor]: Taking taylor expansion of x.im in x.re 0.171 * [taylor]: Taking taylor expansion of x.re in x.re 0.171 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.171 * [taylor]: Taking taylor expansion of x.re in x.re 0.171 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.171 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.171 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.171 * [taylor]: Taking taylor expansion of 3 in x.re 0.171 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.171 * [taylor]: Taking taylor expansion of -1 in x.re 0.171 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.171 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.171 * [taylor]: Taking taylor expansion of x.im in x.re 0.171 * [taylor]: Taking taylor expansion of x.re in x.re 0.171 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.171 * [taylor]: Taking taylor expansion of x.re in x.re 0.172 * [taylor]: Taking taylor expansion of 0 in x.im 0.173 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.173 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.173 * [taylor]: Taking taylor expansion of 3 in x.im 0.173 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.173 * [taylor]: Taking taylor expansion of x.im in x.im 0.175 * [taylor]: Taking taylor expansion of 0 in x.im 0.179 * [taylor]: Taking taylor expansion of 1 in x.im 0.184 * [taylor]: Taking taylor expansion of 0 in x.im 0.185 * [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 0.185 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 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.im 0.185 * [taylor]: Taking taylor expansion of 3 in x.im 0.185 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.186 * [taylor]: Taking taylor expansion of -1 in x.im 0.186 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.186 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.186 * [taylor]: Taking taylor expansion of x.im in x.im 0.186 * [taylor]: Taking taylor expansion of x.re in x.im 0.186 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 0.186 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.186 * [taylor]: Taking taylor expansion of x.re in x.im 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 0.187 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.187 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.187 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.187 * [taylor]: Taking taylor expansion of 3 in x.re 0.187 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.187 * [taylor]: Taking taylor expansion of -1 in x.re 0.187 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.187 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.187 * [taylor]: Taking taylor expansion of x.im in x.re 0.187 * [taylor]: Taking taylor expansion of x.re in x.re 0.188 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.188 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.188 * [taylor]: Taking taylor expansion of x.re in x.re 0.189 * [taylor]: Taking taylor expansion of 1 in x.im 0.190 * [taylor]: Taking taylor expansion of 0 in x.im 0.192 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.192 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.192 * [taylor]: Taking taylor expansion of 3 in x.im 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.192 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.192 * [taylor]: Taking taylor expansion of x.im in x.im 0.196 * [taylor]: Taking taylor expansion of 0 in x.im 0.201 * [taylor]: Taking taylor expansion of 0 in x.im 0.203 * [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 0.204 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.204 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.204 * [taylor]: Taking taylor expansion of -1 in x.im 0.204 * [taylor]: Taking taylor expansion of x.re in x.im 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 0.205 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.205 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.205 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.205 * [taylor]: Taking taylor expansion of 3 in x.re 0.205 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.205 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.205 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.205 * [taylor]: Taking taylor expansion of x.im in x.re 0.205 * [taylor]: Taking taylor expansion of x.re in x.re 0.206 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.206 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.206 * [taylor]: Taking taylor expansion of -1 in x.re 0.206 * [taylor]: Taking taylor expansion of x.re in x.re 0.207 * [taylor]: Taking taylor expansion of -1 in x.im 0.208 * [taylor]: Taking taylor expansion of 0 in x.im 0.210 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.210 * [taylor]: Taking taylor expansion of 3 in x.im 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.210 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.210 * [taylor]: Taking taylor expansion of x.im in x.im 0.214 * [taylor]: Taking taylor expansion of 0 in x.im 0.219 * [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 ) 0.228 * * [simplify]: iteration 1 : 707 enodes (cost 179 ) 0.245 * * [simplify]: iteration 2 : 4464 enodes (cost 174 ) 0.351 * * [simplify]: iteration 3 : 5001 enodes (cost 173 ) 0.352 * [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)) 0.352 * * * [progress]: adding candidates to table 0.451 * * [progress]: iteration 2 / 4 0.451 * * * [progress]: picking best candidate 0.463 * * * * [pick]: Picked # 0.463 * * * [progress]: localizing error 0.474 * * * [progress]: generating rewritten candidates 0.474 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.479 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.480 * * * [progress]: generating series expansions 0.480 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.481 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.481 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.481 * [taylor]: Taking taylor expansion of -1 in x.im 0.481 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.481 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.481 * [taylor]: Taking taylor expansion of x.im in x.im 0.481 * [taylor]: Taking taylor expansion of x.re in x.im 0.481 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.481 * [taylor]: Taking taylor expansion of -1 in x.re 0.481 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.481 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.481 * [taylor]: Taking taylor expansion of x.im in x.re 0.481 * [taylor]: Taking taylor expansion of x.re in x.re 0.481 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.481 * [taylor]: Taking taylor expansion of -1 in x.re 0.481 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.481 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.481 * [taylor]: Taking taylor expansion of x.im in x.re 0.481 * [taylor]: Taking taylor expansion of x.re in x.re 0.482 * [taylor]: Taking taylor expansion of 0 in x.im 0.482 * [taylor]: Taking taylor expansion of (- (pow x.im 2)) in x.im 0.482 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.482 * [taylor]: Taking taylor expansion of x.im in x.im 0.484 * [taylor]: Taking taylor expansion of 0 in x.im 0.486 * [taylor]: Taking taylor expansion of 0 in x.im 0.487 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.487 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.487 * [taylor]: Taking taylor expansion of -1 in x.im 0.487 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) 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 0.487 * [taylor]: Taking taylor expansion of x.re in x.im 0.487 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.487 * [taylor]: Taking taylor expansion of -1 in x.re 0.487 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.487 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.487 * [taylor]: Taking taylor expansion of x.im in x.re 0.487 * [taylor]: Taking taylor expansion of x.re in x.re 0.488 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.488 * [taylor]: Taking taylor expansion of -1 in x.re 0.488 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.488 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.488 * [taylor]: Taking taylor expansion of x.im in x.re 0.488 * [taylor]: Taking taylor expansion of x.re in x.re 0.488 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.488 * [taylor]: Taking taylor expansion of -1 in x.im 0.488 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.488 * [taylor]: Taking taylor expansion of x.im in x.im 0.490 * [taylor]: Taking taylor expansion of 0 in x.im 0.492 * [taylor]: Taking taylor expansion of 0 in x.im 0.494 * [taylor]: Taking taylor expansion of 0 in x.im 0.498 * [taylor]: Taking taylor expansion of 0 in x.im 0.498 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.498 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.498 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.498 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.498 * [taylor]: Taking taylor expansion of x.im in x.im 0.498 * [taylor]: Taking taylor expansion of x.re in x.im 0.498 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.498 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.498 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.498 * [taylor]: Taking taylor expansion of x.im in x.re 0.498 * [taylor]: Taking taylor expansion of x.re in x.re 0.499 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.499 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.499 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.499 * [taylor]: Taking taylor expansion of x.im in x.re 0.499 * [taylor]: Taking taylor expansion of x.re in x.re 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.500 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.500 * [taylor]: Taking taylor expansion of x.im in x.im 0.501 * [taylor]: Taking taylor expansion of 0 in x.im 0.503 * [taylor]: Taking taylor expansion of 0 in x.im 0.506 * [taylor]: Taking taylor expansion of 0 in x.im 0.509 * [taylor]: Taking taylor expansion of 0 in x.im 0.509 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.509 * [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 0.509 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.im 0.509 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.509 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.im 0.509 * [taylor]: Taking taylor expansion of 3 in x.im 0.509 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.509 * [taylor]: Taking taylor expansion of -1 in x.im 0.509 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.509 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.509 * [taylor]: Taking taylor expansion of x.im in x.im 0.509 * [taylor]: Taking taylor expansion of x.re in x.im 0.509 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.509 * [taylor]: Taking taylor expansion of x.re in x.im 0.509 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.509 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow 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 0.509 * [taylor]: Taking taylor expansion of -1 in x.re 0.509 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.509 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.510 * [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 x.re 3) in x.re 0.510 * [taylor]: Taking taylor expansion of x.re in x.re 0.510 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.510 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.510 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.510 * [taylor]: Taking taylor expansion of 3 in x.re 0.510 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.510 * [taylor]: Taking taylor expansion of -1 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 x.re 3) in x.re 0.510 * [taylor]: Taking taylor expansion of x.re in x.re 0.511 * [taylor]: Taking taylor expansion of 0 in x.im 0.512 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.512 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.512 * [taylor]: Taking taylor expansion of 3 in x.im 0.512 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.512 * [taylor]: Taking taylor expansion of x.im in x.im 0.514 * [taylor]: Taking taylor expansion of 0 in x.im 0.517 * [taylor]: Taking taylor expansion of 1 in x.im 0.522 * [taylor]: Taking taylor expansion of 0 in x.im 0.524 * [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 0.524 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.524 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.524 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.im 0.524 * [taylor]: Taking taylor expansion of 3 in x.im 0.524 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.524 * [taylor]: Taking taylor expansion of -1 in x.im 0.524 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.524 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.524 * [taylor]: Taking taylor expansion of x.im in x.im 0.524 * [taylor]: Taking taylor expansion of x.re in x.im 0.524 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 0.524 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.524 * [taylor]: Taking taylor expansion of x.re in x.im 0.524 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.524 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.524 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.524 * [taylor]: Taking taylor expansion of 3 in x.re 0.524 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.524 * [taylor]: Taking taylor expansion of -1 in x.re 0.524 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.524 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.524 * [taylor]: Taking taylor expansion of x.im in x.re 0.524 * [taylor]: Taking taylor expansion of x.re in x.re 0.525 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.525 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.525 * [taylor]: Taking taylor expansion of x.re in x.re 0.525 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.525 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.525 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.525 * [taylor]: Taking taylor expansion of 3 in x.re 0.525 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.525 * [taylor]: Taking taylor expansion of -1 in x.re 0.525 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.525 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.525 * [taylor]: Taking taylor expansion of x.im in x.re 0.526 * [taylor]: Taking taylor expansion of x.re in x.re 0.526 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.526 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.526 * [taylor]: Taking taylor expansion of x.re in x.re 0.527 * [taylor]: Taking taylor expansion of 1 in x.im 0.529 * [taylor]: Taking taylor expansion of 0 in x.im 0.530 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.530 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.530 * [taylor]: Taking taylor expansion of 3 in x.im 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.530 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.530 * [taylor]: Taking taylor expansion of x.im in x.im 0.534 * [taylor]: Taking taylor expansion of 0 in x.im 0.540 * [taylor]: Taking taylor expansion of 0 in x.im 0.542 * [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 0.542 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.im 0.542 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.542 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.542 * [taylor]: Taking taylor expansion of 3 in x.im 0.542 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.542 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.542 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.542 * [taylor]: Taking taylor expansion of x.im in x.im 0.542 * [taylor]: Taking taylor expansion of x.re in x.im 0.542 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.542 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.542 * [taylor]: Taking taylor expansion of -1 in x.im 0.542 * [taylor]: Taking taylor expansion of x.re in x.im 0.542 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.542 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.543 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.543 * [taylor]: Taking taylor expansion of 3 in x.re 0.543 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.543 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.543 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.543 * [taylor]: Taking taylor expansion of x.im in x.re 0.543 * [taylor]: Taking taylor expansion of x.re in x.re 0.543 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.543 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.543 * [taylor]: Taking taylor expansion of -1 in x.re 0.543 * [taylor]: Taking taylor expansion of x.re in x.re 0.543 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.544 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.544 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.544 * [taylor]: Taking taylor expansion of 3 in x.re 0.544 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.544 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.544 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.544 * [taylor]: Taking taylor expansion of x.im in x.re 0.544 * [taylor]: Taking taylor expansion of x.re in x.re 0.544 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.544 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.544 * [taylor]: Taking taylor expansion of -1 in x.re 0.544 * [taylor]: Taking taylor expansion of x.re in x.re 0.545 * [taylor]: Taking taylor expansion of -1 in x.im 0.547 * [taylor]: Taking taylor expansion of 0 in x.im 0.549 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.549 * [taylor]: Taking taylor expansion of 3 in x.im 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.549 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.549 * [taylor]: Taking taylor expansion of x.im in x.im 0.553 * [taylor]: Taking taylor expansion of 0 in x.im 0.562 * [taylor]: Taking taylor expansion of 0 in x.im 0.564 * * * [progress]: simplifying candidates 0.565 * [simplify]: Simplifying using # : (expm1 (* (* x.re (- x.im)) x.im)) (log1p (* (* x.re (- x.im)) x.im)) (* (* x.re (- x.im)) x.im) (* (* x.re (- x.im)) x.im) (+ (+ (log x.re) (log (- x.im))) (log x.im)) (+ (log (* x.re (- x.im))) (log x.im)) (log (* (* x.re (- x.im)) x.im)) (exp (* (* x.re (- x.im)) x.im)) (* (* (* (* x.re x.re) x.re) (* (* (- x.im) (- x.im)) (- x.im))) (* (* x.im x.im) x.im)) (* (* (* (* x.re (- x.im)) (* x.re (- x.im))) (* x.re (- x.im))) (* (* x.im x.im) x.im)) (* (cbrt (* (* x.re (- x.im)) x.im)) (cbrt (* (* x.re (- x.im)) x.im))) (cbrt (* (* x.re (- x.im)) x.im)) (* (* (* (* x.re (- x.im)) x.im) (* (* x.re (- x.im)) x.im)) (* (* x.re (- x.im)) x.im)) (sqrt (* (* x.re (- x.im)) x.im)) (sqrt (* (* x.re (- x.im)) x.im)) (* (* x.re x.im) x.im) (* (* x.re (- x.im)) (* (cbrt x.im) (cbrt x.im))) (* (* x.re (- x.im)) (sqrt x.im)) (* (* x.re (- x.im)) 1) (* (- x.im) x.im) (expm1 (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (log1p (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (* 3 (* (* x.re (- x.im)) x.im)) (log (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (exp (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (* (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))) (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (* (* (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)) (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (sqrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (sqrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) 0.568 * * [simplify]: iteration 0 : 151 enodes (cost 193 ) 0.572 * * [simplify]: iteration 1 : 780 enodes (cost 168 ) 0.592 * * [simplify]: iteration 2 : 5001 enodes (cost 167 ) 0.593 * [simplify]: Simplified to: (expm1 (* (* x.re (- x.im)) x.im)) (log1p (* (* x.re (- x.im)) x.im)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (log (* (* x.re (- x.im)) x.im)) (log (* (* x.re (- x.im)) x.im)) (log (* (* x.re (- x.im)) x.im)) (exp (* (* x.re (- x.im)) x.im)) (pow (* (* x.re (- x.im)) x.im) 3) (pow (* (* x.re (- x.im)) x.im) 3) (* (cbrt (* (* x.re (- x.im)) x.im)) (cbrt (* (* x.re (- x.im)) x.im))) (cbrt (* (* x.re (- x.im)) x.im)) (pow (* (* x.re (- x.im)) x.im) 3) (sqrt (* (* x.re (- x.im)) x.im)) (sqrt (* (* x.re (- x.im)) x.im)) (* (* x.re x.im) x.im) (* (* x.re (- x.im)) (* (cbrt x.im) (cbrt x.im))) (* (* x.re (- x.im)) (sqrt x.im)) (* x.re (- x.im)) (* (- x.im) x.im) (expm1 (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (log1p (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (* -3 (* (* x.re x.im) x.im)) (log (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (exp (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (* (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))) (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (pow (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)) 3) (sqrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (sqrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) 0.593 * * * [progress]: adding candidates to table 0.670 * * [progress]: iteration 3 / 4 0.670 * * * [progress]: picking best candidate 0.682 * * * * [pick]: Picked # 0.682 * * * [progress]: localizing error 0.697 * * * [progress]: generating rewritten candidates 0.697 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.698 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.699 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 0.700 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.707 * * * [progress]: generating series expansions 0.707 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.708 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 0.708 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 0.708 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 0.708 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 0.708 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.708 * [taylor]: Taking taylor expansion of (log x.im) in x.im 0.708 * [taylor]: Taking taylor expansion of x.im in x.im 0.709 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 0.709 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 0.709 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 0.709 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.709 * [taylor]: Taking taylor expansion of (log x.im) in x.im 0.709 * [taylor]: Taking taylor expansion of x.im in x.im 0.756 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 0.756 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.757 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.757 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.757 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.757 * [taylor]: Taking taylor expansion of x.im in x.im 0.757 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.757 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.758 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.758 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.758 * [taylor]: Taking taylor expansion of x.im in x.im 0.814 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 0.814 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 0.814 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 0.814 * [taylor]: Taking taylor expansion of -1 in x.im 0.815 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.815 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.815 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.815 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.815 * [taylor]: Taking taylor expansion of x.im in x.im 0.816 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 0.816 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 0.816 * [taylor]: Taking taylor expansion of -1 in x.im 0.817 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.817 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.817 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.817 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.817 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.817 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.817 * [taylor]: Taking taylor expansion of x.im in x.im 0.884 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.884 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 0.884 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 0.884 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 0.884 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 0.884 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.884 * [taylor]: Taking taylor expansion of (log x.im) in x.im 0.884 * [taylor]: Taking taylor expansion of x.im in x.im 0.885 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 0.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 0.885 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 0.885 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.885 * [taylor]: Taking taylor expansion of (log x.im) in x.im 0.885 * [taylor]: Taking taylor expansion of x.im in x.im 0.937 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 0.937 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.937 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.937 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.937 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.937 * [taylor]: Taking taylor expansion of x.im in x.im 0.938 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.938 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.938 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.938 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.938 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.938 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.938 * [taylor]: Taking taylor expansion of x.im in x.im 0.989 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 0.989 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 0.989 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 0.989 * [taylor]: Taking taylor expansion of -1 in x.im 0.990 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.990 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.990 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.990 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.990 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.990 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.990 * [taylor]: Taking taylor expansion of x.im in x.im 0.991 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 0.991 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 0.991 * [taylor]: Taking taylor expansion of -1 in x.im 0.992 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 0.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 0.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 0.992 * [taylor]: Taking taylor expansion of 1/3 in x.im 0.992 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 0.992 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.992 * [taylor]: Taking taylor expansion of x.im in x.im 1.059 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.059 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 1.059 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 1.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 1.059 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 1.059 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.059 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.059 * [taylor]: Taking taylor expansion of x.im in x.im 1.060 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 1.060 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 1.060 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 1.060 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.060 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.060 * [taylor]: Taking taylor expansion of x.im in x.im 1.113 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 1.113 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.113 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.113 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.113 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.113 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.113 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.113 * [taylor]: Taking taylor expansion of x.im in x.im 1.114 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.114 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.114 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.114 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.114 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.114 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.114 * [taylor]: Taking taylor expansion of x.im in x.im 1.171 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 1.172 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.172 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.172 * [taylor]: Taking taylor expansion of -1 in x.im 1.172 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.172 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.172 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.172 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.172 * [taylor]: Taking taylor expansion of x.im in x.im 1.173 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.173 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.173 * [taylor]: Taking taylor expansion of -1 in x.im 1.174 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.174 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.174 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.174 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.174 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.174 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.174 * [taylor]: Taking taylor expansion of x.im in x.im 1.241 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.242 * [approximate]: Taking taylor expansion of (pow (pow x.im 2) 1/3) in (x.im) around 0 1.242 * [taylor]: Taking taylor expansion of (pow (pow x.im 2) 1/3) in x.im 1.242 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x.im 2)))) in x.im 1.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x.im 2))) in x.im 1.242 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.242 * [taylor]: Taking taylor expansion of (log (pow x.im 2)) in x.im 1.242 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.242 * [taylor]: Taking taylor expansion of x.im in x.im 1.243 * [taylor]: Taking taylor expansion of (pow (pow x.im 2) 1/3) in x.im 1.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x.im 2)))) in x.im 1.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x.im 2))) in x.im 1.243 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.243 * [taylor]: Taking taylor expansion of (log (pow x.im 2)) in x.im 1.243 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.243 * [taylor]: Taking taylor expansion of x.im in x.im 1.294 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in (x.im) around 0 1.294 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.294 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.294 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.294 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.294 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.294 * [taylor]: Taking taylor expansion of x.im in x.im 1.300 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.300 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.300 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.300 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.300 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.300 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.300 * [taylor]: Taking taylor expansion of x.im in x.im 1.355 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x.im 2)) 1/3)) in (x.im) around 0 1.355 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x.im 2)) 1/3)) in x.im 1.355 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x.im 1.355 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.355 * [taylor]: Taking taylor expansion of -1 in x.im 1.355 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.355 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.355 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.355 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.356 * [taylor]: Taking taylor expansion of x.im in x.im 1.357 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x.im 2)) 1/3)) in x.im 1.357 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x.im 1.357 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.357 * [taylor]: Taking taylor expansion of -1 in x.im 1.357 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x.im 2)) 1/3) in x.im 1.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x.im 2))))) in x.im 1.357 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x.im 2)))) in x.im 1.357 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.357 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x.im 2))) in x.im 1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.357 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.357 * [taylor]: Taking taylor expansion of x.im in x.im 1.435 * * * [progress]: simplifying candidates 1.436 * [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)) 1.440 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.443 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.456 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.520 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.521 * [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)) 1.522 * * * [progress]: adding candidates to table 1.789 * * [progress]: iteration 4 / 4 1.789 * * * [progress]: picking best candidate 1.804 * * * * [pick]: Picked # 1.804 * * * [progress]: localizing error 1.820 * * * [progress]: generating rewritten candidates 1.820 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.821 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 2) 1.823 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1 1) 1.824 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 2) 1.826 * * * [progress]: generating series expansions 1.826 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.826 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 1.826 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 1.826 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 1.826 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 1.826 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.826 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.826 * [taylor]: Taking taylor expansion of x.im in x.im 1.827 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 1.827 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 1.827 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 1.827 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.827 * [taylor]: Taking taylor expansion of (log x.im) in x.im 1.827 * [taylor]: Taking taylor expansion of x.im in x.im 1.880 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 1.880 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.880 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.880 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.880 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.880 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.880 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.880 * [taylor]: Taking taylor expansion of x.im in x.im 1.881 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.881 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.881 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.881 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.881 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.881 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.881 * [taylor]: Taking taylor expansion of x.im in x.im 1.939 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 1.939 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.939 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.939 * [taylor]: Taking taylor expansion of -1 in x.im 1.939 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.940 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.940 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.940 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.940 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.940 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.940 * [taylor]: Taking taylor expansion of x.im in x.im 1.940 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 1.940 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 1.940 * [taylor]: Taking taylor expansion of -1 in x.im 1.941 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 1.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 1.941 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 1.941 * [taylor]: Taking taylor expansion of 1/3 in x.im 1.941 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 1.941 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 1.941 * [taylor]: Taking taylor expansion of x.im in x.im 2.009 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 2) 2.009 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 2.009 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.009 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.009 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.009 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.009 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.009 * [taylor]: Taking taylor expansion of x.im in x.im 2.010 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.010 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.010 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.010 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.010 * [taylor]: Taking taylor expansion of x.im in x.im 2.063 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 2.063 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.063 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.063 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.063 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.063 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.063 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.063 * [taylor]: Taking taylor expansion of x.im in x.im 2.064 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.064 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.064 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.064 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.064 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.064 * [taylor]: Taking taylor expansion of x.im in x.im 2.115 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 2.115 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.115 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.115 * [taylor]: Taking taylor expansion of -1 in x.im 2.116 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.116 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.116 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.116 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.116 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.116 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.116 * [taylor]: Taking taylor expansion of x.im in x.im 2.117 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.117 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.117 * [taylor]: Taking taylor expansion of -1 in x.im 2.118 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.118 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.118 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.118 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.118 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.118 * [taylor]: Taking taylor expansion of x.im in x.im 2.187 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1 1) 2.187 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 2.187 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.187 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.187 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.187 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.187 * [taylor]: Taking taylor expansion of x.im in x.im 2.187 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.187 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.187 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.187 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.187 * [taylor]: Taking taylor expansion of x.im in x.im 2.242 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 2.242 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.242 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.242 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.242 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.242 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.242 * [taylor]: Taking taylor expansion of x.im in x.im 2.243 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.243 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.243 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.243 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.243 * [taylor]: Taking taylor expansion of x.im in x.im 2.302 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 2.302 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.302 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.302 * [taylor]: Taking taylor expansion of -1 in x.im 2.302 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.302 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.302 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.302 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.303 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.303 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.303 * [taylor]: Taking taylor expansion of x.im in x.im 2.303 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.303 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.303 * [taylor]: Taking taylor expansion of -1 in x.im 2.304 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.304 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.304 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.304 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.304 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.304 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.304 * [taylor]: Taking taylor expansion of x.im in x.im 2.373 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 2) 2.373 * [approximate]: Taking taylor expansion of (pow x.im 1/3) in (x.im) around 0 2.373 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.373 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.373 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.373 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.373 * [taylor]: Taking taylor expansion of x.im in x.im 2.374 * [taylor]: Taking taylor expansion of (pow x.im 1/3) in x.im 2.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x.im))) in x.im 2.374 * [taylor]: Taking taylor expansion of (* 1/3 (log x.im)) in x.im 2.374 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.374 * [taylor]: Taking taylor expansion of (log x.im) in x.im 2.374 * [taylor]: Taking taylor expansion of x.im in x.im 2.423 * [approximate]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in (x.im) around 0 2.423 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.423 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.423 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.423 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.423 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.423 * [taylor]: Taking taylor expansion of x.im in x.im 2.424 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.424 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.424 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.424 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.424 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.424 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.424 * [taylor]: Taking taylor expansion of x.im in x.im 2.481 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in (x.im) around 0 2.481 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.481 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.481 * [taylor]: Taking taylor expansion of -1 in x.im 2.482 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.482 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.482 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.482 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.482 * [taylor]: Taking taylor expansion of x.im in x.im 2.483 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x.im) 1/3)) in x.im 2.483 * [taylor]: Taking taylor expansion of (cbrt -1) in x.im 2.483 * [taylor]: Taking taylor expansion of -1 in x.im 2.484 * [taylor]: Taking taylor expansion of (pow (/ 1 x.im) 1/3) in x.im 2.484 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x.im)))) in x.im 2.484 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x.im))) in x.im 2.484 * [taylor]: Taking taylor expansion of 1/3 in x.im 2.484 * [taylor]: Taking taylor expansion of (log (/ 1 x.im)) in x.im 2.484 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.484 * [taylor]: Taking taylor expansion of x.im in x.im 2.553 * * * [progress]: simplifying candidates 2.554 * [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)) (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 1/3) (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 1/3) (pow (/ 1 x.im) -1/3) (* (pow (* -1 x.im) 1/3) (cbrt -1)) 2.557 * * [simplify]: iteration 0 : 42 enodes (cost 172 ) 2.558 * * [simplify]: iteration 1 : 83 enodes (cost 160 ) 2.560 * * [simplify]: iteration 2 : 195 enodes (cost 152 ) 2.565 * * [simplify]: iteration 3 : 699 enodes (cost 152 ) 2.586 * * [simplify]: iteration 4 : 4132 enodes (cost 152 ) 2.679 * * [simplify]: iteration 5 : 5001 enodes (cost 152 ) 2.681 * [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)) (cbrt 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)) (cbrt 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)) (cbrt 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)) (cbrt 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 1/3) (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 1/3) (pow (/ 1 x.im) -1/3) (* (pow (* -1 x.im) 1/3) (cbrt -1)) 2.681 * * * [progress]: adding candidates to table 2.936 * [progress]: [Phase 3 of 3] Extracting. 2.937 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 2.939 * * * [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) 2.939 * * * * [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 (# # # # # # # # # # #) 2.980 * * * * [regimes]: Trying to branch on x.im from (# # # # # # # # # # #) 3.021 * * * * [regimes]: Trying to branch on x.re from (# # # # # # # # # # #) 3.062 * * * [regime]: Found split indices: #