1.992 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [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 ) 0.030 * * [simplify]: iteration 1 : 61 enodes (cost 9 ) 0.032 * * [simplify]: iteration 2 : 168 enodes (cost 8 ) 0.035 * * [simplify]: iteration 3 : 483 enodes (cost 6 ) 0.045 * * [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 ) 0.117 * [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) 0.135 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.136 * * * [progress]: generating series expansions 0.136 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.136 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.136 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.136 * [taylor]: Taking taylor expansion of -1 in x.im 0.136 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.136 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.136 * [taylor]: Taking taylor expansion of x.im in x.im 0.136 * [taylor]: Taking taylor expansion of x.re in x.im 0.136 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.136 * [taylor]: Taking taylor expansion of -1 in x.re 0.136 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.136 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.136 * [taylor]: Taking taylor expansion of x.im in x.re 0.136 * [taylor]: Taking taylor expansion of x.re in x.re 0.136 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.136 * [taylor]: Taking taylor expansion of -1 in x.re 0.136 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.136 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.136 * [taylor]: Taking taylor expansion of x.im in x.re 0.136 * [taylor]: Taking taylor expansion of x.re in x.re 0.137 * [taylor]: Taking taylor expansion of 0 in x.im 0.137 * [taylor]: Taking taylor expansion of (- (pow x.im 2)) in x.im 0.137 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.137 * [taylor]: Taking taylor expansion of x.im in x.im 0.139 * [taylor]: Taking taylor expansion of 0 in x.im 0.141 * [taylor]: Taking taylor expansion of 0 in x.im 0.142 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.142 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.142 * [taylor]: Taking taylor expansion of -1 in x.im 0.142 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) 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 0.142 * [taylor]: Taking taylor expansion of x.re in x.im 0.142 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.142 * [taylor]: Taking taylor expansion of -1 in x.re 0.142 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.142 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.142 * [taylor]: Taking taylor expansion of x.im in x.re 0.142 * [taylor]: Taking taylor expansion of x.re in x.re 0.143 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.143 * [taylor]: Taking taylor expansion of -1 in x.re 0.143 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.143 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.143 * [taylor]: Taking taylor expansion of x.im in x.re 0.143 * [taylor]: Taking taylor expansion of x.re in x.re 0.143 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.143 * [taylor]: Taking taylor expansion of -1 in x.im 0.143 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.143 * [taylor]: Taking taylor expansion of x.im in x.im 0.145 * [taylor]: Taking taylor expansion of 0 in x.im 0.147 * [taylor]: Taking taylor expansion of 0 in x.im 0.152 * [taylor]: Taking taylor expansion of 0 in x.im 0.156 * [taylor]: Taking taylor expansion of 0 in x.im 0.156 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.156 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.156 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.156 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.156 * [taylor]: Taking taylor expansion of x.im in x.im 0.156 * [taylor]: Taking taylor expansion of x.re in x.im 0.156 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.156 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.156 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.156 * [taylor]: Taking taylor expansion of x.im in x.re 0.156 * [taylor]: Taking taylor expansion of x.re in x.re 0.157 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.157 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.157 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.157 * [taylor]: Taking taylor expansion of x.im in x.re 0.157 * [taylor]: Taking taylor expansion of x.re in x.re 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.158 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.158 * [taylor]: Taking taylor expansion of x.im in x.im 0.159 * [taylor]: Taking taylor expansion of 0 in x.im 0.161 * [taylor]: Taking taylor expansion of 0 in x.im 0.163 * [taylor]: Taking taylor expansion of 0 in x.im 0.166 * [taylor]: Taking taylor expansion of 0 in x.im 0.167 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.167 * [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 0.167 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.im 0.167 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.167 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.im 0.167 * [taylor]: Taking taylor expansion of 3 in x.im 0.167 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.167 * [taylor]: Taking taylor expansion of -1 in x.im 0.167 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.167 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.167 * [taylor]: Taking taylor expansion of x.im in x.im 0.167 * [taylor]: Taking taylor expansion of x.re in x.im 0.167 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.167 * [taylor]: Taking taylor expansion of x.re in x.im 0.167 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.167 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.167 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.167 * [taylor]: Taking taylor expansion of 3 in x.re 0.167 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.167 * [taylor]: Taking taylor expansion of -1 in x.re 0.167 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.167 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.167 * [taylor]: Taking taylor expansion of x.im in x.re 0.167 * [taylor]: Taking taylor expansion of x.re in x.re 0.167 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.167 * [taylor]: Taking taylor expansion of x.re in x.re 0.167 * [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 0.169 * [taylor]: Taking taylor expansion of 0 in x.im 0.170 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.170 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.170 * [taylor]: Taking taylor expansion of 3 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 0.172 * [taylor]: Taking taylor expansion of 0 in x.im 0.175 * [taylor]: Taking taylor expansion of 1 in x.im 0.180 * [taylor]: Taking taylor expansion of 0 in x.im 0.182 * [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 0.182 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.182 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.182 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.im 0.182 * [taylor]: Taking taylor expansion of 3 in x.im 0.182 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.182 * [taylor]: Taking taylor expansion of -1 in x.im 0.182 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.182 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.182 * [taylor]: Taking taylor expansion of x.im in x.im 0.182 * [taylor]: Taking taylor expansion of x.re in x.im 0.182 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 0.182 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.182 * [taylor]: Taking taylor expansion of x.re in x.im 0.182 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.182 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.182 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.182 * [taylor]: Taking taylor expansion of 3 in x.re 0.182 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.182 * [taylor]: Taking taylor expansion of -1 in x.re 0.182 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.182 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.182 * [taylor]: Taking taylor expansion of x.im in x.re 0.182 * [taylor]: Taking taylor expansion of x.re in x.re 0.183 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.183 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.183 * [taylor]: Taking taylor expansion of x.re in x.re 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 0.185 * [taylor]: Taking taylor expansion of 1 in x.im 0.186 * [taylor]: Taking taylor expansion of 0 in x.im 0.188 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.188 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.188 * [taylor]: Taking taylor expansion of 3 in x.im 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.188 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.188 * [taylor]: Taking taylor expansion of x.im in x.im 0.192 * [taylor]: Taking taylor expansion of 0 in x.im 0.197 * [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 0.200 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.200 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.200 * [taylor]: Taking taylor expansion of -1 in x.im 0.200 * [taylor]: Taking taylor expansion of x.re in x.im 0.200 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 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.re 0.200 * [taylor]: Taking taylor expansion of 3 in x.re 0.200 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.200 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.200 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.200 * [taylor]: Taking taylor expansion of x.im in x.re 0.200 * [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 0.201 * [taylor]: Taking taylor expansion of x.re in x.re 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 0.202 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.202 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.202 * [taylor]: Taking taylor expansion of -1 in x.re 0.202 * [taylor]: Taking taylor expansion of x.re in x.re 0.203 * [taylor]: Taking taylor expansion of -1 in x.im 0.204 * [taylor]: Taking taylor expansion of 0 in x.im 0.206 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.206 * [taylor]: Taking taylor expansion of 3 in x.im 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.206 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.206 * [taylor]: Taking taylor expansion of x.im in x.im 0.210 * [taylor]: Taking taylor expansion of 0 in x.im 0.215 * [taylor]: Taking taylor expansion of 0 in x.im 0.217 * * * [progress]: simplifying candidates 0.217 * [simplify]: Simplifying using # : (* x.re (* x.im x.im)) (* x.re -1) (* x.re (- x.im)) (* x.re (- x.im)) (* x.re x.im) (* x.re x.im) (* 3 (* x.re (- (* x.im x.im)))) (* -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))) 0.220 * * [simplify]: iteration 0 : 51 enodes (cost 37 ) 0.221 * * [simplify]: iteration 1 : 148 enodes (cost 36 ) 0.225 * * [simplify]: iteration 2 : 534 enodes (cost 33 ) 0.235 * * [simplify]: iteration 3 : 1850 enodes (cost 33 ) 0.282 * * [simplify]: iteration 4 : 5001 enodes (cost 33 ) 0.283 * [simplify]: Simplified to: (* x.re (* x.im x.im)) (* x.re -1) (* x.re (- x.im)) (* x.re (- x.im)) (* x.re x.im) (* x.re x.im) (* -3 (* x.re (* x.im x.im))) (* -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)) 0.283 * * * [progress]: adding candidates to table 0.306 * * [progress]: iteration 2 / 4 0.306 * * * [progress]: picking best candidate 0.311 * * * * [pick]: Picked # 0.311 * * * [progress]: localizing error 0.318 * * * [progress]: generating rewritten candidates 0.318 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.322 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.323 * * * [progress]: generating series expansions 0.323 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.323 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.323 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.323 * [taylor]: Taking taylor expansion of -1 in x.im 0.323 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.323 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.323 * [taylor]: Taking taylor expansion of x.im in x.im 0.323 * [taylor]: Taking taylor expansion of x.re in x.im 0.323 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.323 * [taylor]: Taking taylor expansion of -1 in x.re 0.323 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.323 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.323 * [taylor]: Taking taylor expansion of x.im in x.re 0.323 * [taylor]: Taking taylor expansion of x.re in x.re 0.323 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.323 * [taylor]: Taking taylor expansion of -1 in x.re 0.323 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.323 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.323 * [taylor]: Taking taylor expansion of x.im in x.re 0.323 * [taylor]: Taking taylor expansion of x.re in x.re 0.324 * [taylor]: Taking taylor expansion of 0 in x.im 0.325 * [taylor]: Taking taylor expansion of (- (pow x.im 2)) in x.im 0.325 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.325 * [taylor]: Taking taylor expansion of x.im in x.im 0.327 * [taylor]: Taking taylor expansion of 0 in x.im 0.329 * [taylor]: Taking taylor expansion of 0 in x.im 0.329 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.329 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.329 * [taylor]: Taking taylor expansion of -1 in x.im 0.329 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.329 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.329 * [taylor]: Taking taylor expansion of x.im in x.im 0.329 * [taylor]: Taking taylor expansion of x.re in x.im 0.330 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.330 * [taylor]: Taking taylor expansion of -1 in x.re 0.330 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.330 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.330 * [taylor]: Taking taylor expansion of x.im in x.re 0.330 * [taylor]: Taking taylor expansion of x.re in x.re 0.330 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.330 * [taylor]: Taking taylor expansion of -1 in x.re 0.330 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.330 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.330 * [taylor]: Taking taylor expansion of x.im in x.re 0.330 * [taylor]: Taking taylor expansion of x.re in x.re 0.331 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.331 * [taylor]: Taking taylor expansion of -1 in x.im 0.331 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.331 * [taylor]: Taking taylor expansion of x.im in x.im 0.332 * [taylor]: Taking taylor expansion of 0 in x.im 0.334 * [taylor]: Taking taylor expansion of 0 in x.im 0.337 * [taylor]: Taking taylor expansion of 0 in x.im 0.340 * [taylor]: Taking taylor expansion of 0 in x.im 0.341 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.341 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.341 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.341 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.341 * [taylor]: Taking taylor expansion of x.im in x.im 0.341 * [taylor]: Taking taylor expansion of x.re in x.im 0.341 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.341 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.341 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.341 * [taylor]: Taking taylor expansion of x.im in x.re 0.341 * [taylor]: Taking taylor expansion of x.re in x.re 0.342 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.342 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.342 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.342 * [taylor]: Taking taylor expansion of x.im in x.re 0.342 * [taylor]: Taking taylor expansion of x.re in x.re 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.342 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.342 * [taylor]: Taking taylor expansion of x.im in x.im 0.344 * [taylor]: Taking taylor expansion of 0 in x.im 0.346 * [taylor]: Taking taylor expansion of 0 in x.im 0.348 * [taylor]: Taking taylor expansion of 0 in x.im 0.351 * [taylor]: Taking taylor expansion of 0 in x.im 0.352 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.352 * [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 0.352 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.im 0.352 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.352 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.im 0.352 * [taylor]: Taking taylor expansion of 3 in x.im 0.352 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.352 * [taylor]: Taking taylor expansion of -1 in x.im 0.352 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.352 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.352 * [taylor]: Taking taylor expansion of x.im in x.im 0.352 * [taylor]: Taking taylor expansion of x.re in x.im 0.352 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.352 * [taylor]: Taking taylor expansion of x.re in x.im 0.352 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.352 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.352 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.352 * [taylor]: Taking taylor expansion of 3 in x.re 0.352 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.352 * [taylor]: Taking taylor expansion of -1 in x.re 0.352 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.352 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.352 * [taylor]: Taking taylor expansion of x.im in x.re 0.352 * [taylor]: Taking taylor expansion of x.re in x.re 0.352 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.352 * [taylor]: Taking taylor expansion of x.re in x.re 0.352 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.352 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.352 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.353 * [taylor]: Taking taylor expansion of 3 in x.re 0.353 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.353 * [taylor]: Taking taylor expansion of -1 in x.re 0.353 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.353 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.353 * [taylor]: Taking taylor expansion of x.im in x.re 0.353 * [taylor]: Taking taylor expansion of x.re in x.re 0.353 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.353 * [taylor]: Taking taylor expansion of x.re in x.re 0.354 * [taylor]: Taking taylor expansion of 0 in x.im 0.355 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.355 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.355 * [taylor]: Taking taylor expansion of 3 in x.im 0.355 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.355 * [taylor]: Taking taylor expansion of x.im in x.im 0.357 * [taylor]: Taking taylor expansion of 0 in x.im 0.360 * [taylor]: Taking taylor expansion of 1 in x.im 0.365 * [taylor]: Taking taylor expansion of 0 in x.im 0.366 * [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 0.366 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.366 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.366 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.im 0.366 * [taylor]: Taking taylor expansion of 3 in x.im 0.366 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.366 * [taylor]: Taking taylor expansion of -1 in x.im 0.366 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.366 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.366 * [taylor]: Taking taylor expansion of x.im in x.im 0.367 * [taylor]: Taking taylor expansion of x.re in x.im 0.367 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 0.367 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.369 * [taylor]: Taking taylor expansion of x.re in x.im 0.369 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.369 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.369 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.369 * [taylor]: Taking taylor expansion of 3 in x.re 0.369 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.369 * [taylor]: Taking taylor expansion of -1 in x.re 0.369 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.369 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.370 * [taylor]: Taking taylor expansion of x.im in x.re 0.370 * [taylor]: Taking taylor expansion of x.re in x.re 0.370 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.370 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.370 * [taylor]: Taking taylor expansion of x.re in x.re 0.371 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.371 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.371 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.371 * [taylor]: Taking taylor expansion of 3 in x.re 0.371 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.371 * [taylor]: Taking taylor expansion of -1 in x.re 0.371 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.371 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.371 * [taylor]: Taking taylor expansion of x.im in x.re 0.371 * [taylor]: Taking taylor expansion of x.re in x.re 0.371 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.371 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.371 * [taylor]: Taking taylor expansion of x.re in x.re 0.372 * [taylor]: Taking taylor expansion of 1 in x.im 0.374 * [taylor]: Taking taylor expansion of 0 in x.im 0.375 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.375 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.375 * [taylor]: Taking taylor expansion of 3 in x.im 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.375 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.375 * [taylor]: Taking taylor expansion of x.im in x.im 0.379 * [taylor]: Taking taylor expansion of 0 in x.im 0.384 * [taylor]: Taking taylor expansion of 0 in x.im 0.386 * [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 0.386 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.im 0.386 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.386 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.387 * [taylor]: Taking taylor expansion of 3 in x.im 0.387 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.387 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.387 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.387 * [taylor]: Taking taylor expansion of x.im in x.im 0.387 * [taylor]: Taking taylor expansion of x.re in x.im 0.387 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.387 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.387 * [taylor]: Taking taylor expansion of -1 in x.im 0.387 * [taylor]: Taking taylor expansion of x.re in x.im 0.387 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.387 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.387 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.387 * [taylor]: Taking taylor expansion of 3 in x.re 0.387 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.387 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.387 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.387 * [taylor]: Taking taylor expansion of x.im in x.re 0.387 * [taylor]: Taking taylor expansion of x.re in x.re 0.388 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.388 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.388 * [taylor]: Taking taylor expansion of -1 in x.re 0.388 * [taylor]: Taking taylor expansion of x.re in x.re 0.388 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.388 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.388 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.388 * [taylor]: Taking taylor expansion of 3 in x.re 0.388 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.388 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.388 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.388 * [taylor]: Taking taylor expansion of x.im in x.re 0.388 * [taylor]: Taking taylor expansion of x.re in x.re 0.389 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.389 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.389 * [taylor]: Taking taylor expansion of -1 in x.re 0.389 * [taylor]: Taking taylor expansion of x.re in x.re 0.390 * [taylor]: Taking taylor expansion of -1 in x.im 0.391 * [taylor]: Taking taylor expansion of 0 in x.im 0.393 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.393 * [taylor]: Taking taylor expansion of 3 in x.im 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.393 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.393 * [taylor]: Taking taylor expansion of x.im in x.im 0.397 * [taylor]: Taking taylor expansion of 0 in x.im 0.402 * [taylor]: Taking taylor expansion of 0 in x.im 0.404 * * * [progress]: simplifying candidates 0.404 * [simplify]: Simplifying using # : (* (* x.re x.im) x.im) (* (- x.im) x.im) (* x.im x.im) (* x.re x.im) (* 3 (* (* x.re (- x.im)) x.im)) (* -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))) 0.407 * * [simplify]: iteration 0 : 48 enodes (cost 34 ) 0.408 * * [simplify]: iteration 1 : 143 enodes (cost 34 ) 0.412 * * [simplify]: iteration 2 : 552 enodes (cost 33 ) 0.421 * * [simplify]: iteration 3 : 1917 enodes (cost 30 ) 0.471 * * [simplify]: iteration 4 : 5001 enodes (cost 30 ) 0.472 * [simplify]: Simplified to: (* (* x.re x.im) x.im) (* (- x.im) x.im) (pow x.im 2) (* x.re x.im) (* -3 (* (* x.re x.im) x.im)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (fma (* (pow x.im 2) -3) x.re (pow x.re 3)) (fma (* (pow x.im 2) -3) x.re (pow x.re 3)) (fma (* (pow x.im 2) -3) x.re (pow x.re 3)) 0.472 * * * [progress]: adding candidates to table 0.493 * * [progress]: iteration 3 / 4 0.493 * * * [progress]: picking best candidate 0.500 * * * * [pick]: Picked # 0.500 * * * [progress]: localizing error 0.507 * * * [progress]: generating rewritten candidates 0.507 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.511 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.514 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.522 * * * [progress]: generating series expansions 0.522 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.522 * [approximate]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.522 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.im 0.522 * [taylor]: Taking taylor expansion of -3 in x.im 0.523 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.523 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.523 * [taylor]: Taking taylor expansion of x.im in x.im 0.523 * [taylor]: Taking taylor expansion of x.re in x.im 0.523 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.523 * [taylor]: Taking taylor expansion of -3 in x.re 0.523 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.523 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.523 * [taylor]: Taking taylor expansion of x.im in x.re 0.523 * [taylor]: Taking taylor expansion of x.re in x.re 0.523 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.523 * [taylor]: Taking taylor expansion of -3 in x.re 0.523 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.523 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.523 * [taylor]: Taking taylor expansion of x.im in x.re 0.523 * [taylor]: Taking taylor expansion of x.re in x.re 0.523 * [taylor]: Taking taylor expansion of 0 in x.im 0.524 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.524 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.524 * [taylor]: Taking taylor expansion of 3 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 0.526 * [taylor]: Taking taylor expansion of 0 in x.im 0.529 * [taylor]: Taking taylor expansion of 0 in x.im 0.529 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.529 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.529 * [taylor]: Taking taylor expansion of -3 in x.im 0.529 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.529 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.529 * [taylor]: Taking taylor expansion of x.im in x.im 0.529 * [taylor]: Taking taylor expansion of x.re in x.im 0.529 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.529 * [taylor]: Taking taylor expansion of -3 in x.re 0.529 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.529 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.529 * [taylor]: Taking taylor expansion of x.im in x.re 0.530 * [taylor]: Taking taylor expansion of x.re in x.re 0.530 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.530 * [taylor]: Taking taylor expansion of -3 in x.re 0.530 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.530 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.530 * [taylor]: Taking taylor expansion of x.im in x.re 0.530 * [taylor]: Taking taylor expansion of x.re in x.re 0.531 * [taylor]: Taking taylor expansion of (/ -3 (pow x.im 2)) in x.im 0.531 * [taylor]: Taking taylor expansion of -3 in x.im 0.531 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.531 * [taylor]: Taking taylor expansion of x.im in x.im 0.532 * [taylor]: Taking taylor expansion of 0 in x.im 0.534 * [taylor]: Taking taylor expansion of 0 in x.im 0.537 * [taylor]: Taking taylor expansion of 0 in x.im 0.540 * [taylor]: Taking taylor expansion of 0 in x.im 0.540 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.540 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.540 * [taylor]: Taking taylor expansion of 3 in x.im 0.540 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.540 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.540 * [taylor]: Taking taylor expansion of x.im in x.im 0.540 * [taylor]: Taking taylor expansion of x.re in x.im 0.541 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.541 * [taylor]: Taking taylor expansion of 3 in x.re 0.541 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.541 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.541 * [taylor]: Taking taylor expansion of x.im in x.re 0.541 * [taylor]: Taking taylor expansion of x.re in x.re 0.541 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.541 * [taylor]: Taking taylor expansion of 3 in x.re 0.541 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.541 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.541 * [taylor]: Taking taylor expansion of x.im in x.re 0.541 * [taylor]: Taking taylor expansion of x.re in x.re 0.542 * [taylor]: Taking taylor expansion of (/ 3 (pow x.im 2)) in x.im 0.542 * [taylor]: Taking taylor expansion of 3 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 0.543 * [taylor]: Taking taylor expansion of 0 in x.im 0.545 * [taylor]: Taking taylor expansion of 0 in x.im 0.548 * [taylor]: Taking taylor expansion of 0 in x.im 0.551 * [taylor]: Taking taylor expansion of 0 in x.im 0.551 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.551 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.re x.im) around 0 0.551 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.551 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.551 * [taylor]: Taking taylor expansion of x.im in x.im 0.551 * [taylor]: Taking taylor expansion of x.re in x.im 0.551 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.551 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.551 * [taylor]: Taking taylor expansion of x.im in x.re 0.551 * [taylor]: Taking taylor expansion of x.re in x.re 0.551 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.551 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.551 * [taylor]: Taking taylor expansion of x.im in x.re 0.551 * [taylor]: Taking taylor expansion of x.re in x.re 0.552 * [taylor]: Taking taylor expansion of 0 in x.im 0.552 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.552 * [taylor]: Taking taylor expansion of x.im in x.im 0.553 * [taylor]: Taking taylor expansion of 0 in x.im 0.554 * [taylor]: Taking taylor expansion of 0 in x.im 0.555 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.555 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.555 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.555 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.555 * [taylor]: Taking taylor expansion of x.im in x.im 0.555 * [taylor]: Taking taylor expansion of x.re in x.im 0.555 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.555 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.555 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.555 * [taylor]: Taking taylor expansion of x.im in x.re 0.555 * [taylor]: Taking taylor expansion of x.re in x.re 0.555 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.556 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.556 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.556 * [taylor]: Taking taylor expansion of x.im in x.re 0.556 * [taylor]: Taking taylor expansion of x.re in x.re 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.556 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.556 * [taylor]: Taking taylor expansion of x.im in x.im 0.557 * [taylor]: Taking taylor expansion of 0 in x.im 0.559 * [taylor]: Taking taylor expansion of 0 in x.im 0.562 * [taylor]: Taking taylor expansion of 0 in x.im 0.565 * [taylor]: Taking taylor expansion of 0 in x.im 0.565 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.565 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.565 * [taylor]: Taking taylor expansion of -1 in x.im 0.565 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.565 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.565 * [taylor]: Taking taylor expansion of x.im in x.im 0.565 * [taylor]: Taking taylor expansion of x.re in x.im 0.566 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.566 * [taylor]: Taking taylor expansion of -1 in x.re 0.566 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.566 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.566 * [taylor]: Taking taylor expansion of x.im in x.re 0.566 * [taylor]: Taking taylor expansion of x.re in x.re 0.566 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.566 * [taylor]: Taking taylor expansion of -1 in x.re 0.566 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.566 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.566 * [taylor]: Taking taylor expansion of x.im in x.re 0.566 * [taylor]: Taking taylor expansion of x.re in x.re 0.567 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.567 * [taylor]: Taking taylor expansion of -1 in x.im 0.567 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.567 * [taylor]: Taking taylor expansion of x.im in x.im 0.568 * [taylor]: Taking taylor expansion of 0 in x.im 0.570 * [taylor]: Taking taylor expansion of 0 in x.im 0.573 * [taylor]: Taking taylor expansion of 0 in x.im 0.576 * [taylor]: Taking taylor expansion of 0 in x.im 0.577 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.577 * [approximate]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in (x.re x.im) around 0 0.577 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.im 0.577 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.577 * [taylor]: Taking taylor expansion of x.re in x.im 0.577 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.577 * [taylor]: Taking taylor expansion of 3 in x.im 0.577 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.577 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.577 * [taylor]: Taking taylor expansion of x.im in x.im 0.577 * [taylor]: Taking taylor expansion of x.re in x.im 0.577 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.re 0.577 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.577 * [taylor]: Taking taylor expansion of x.re in x.re 0.577 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.577 * [taylor]: Taking taylor expansion of 3 in x.re 0.577 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.577 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.577 * [taylor]: Taking taylor expansion of x.im in x.re 0.577 * [taylor]: Taking taylor expansion of x.re in x.re 0.577 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.re 0.577 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.577 * [taylor]: Taking taylor expansion of x.re in x.re 0.577 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.577 * [taylor]: Taking taylor expansion of 3 in x.re 0.577 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.577 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.577 * [taylor]: Taking taylor expansion of x.im in x.re 0.577 * [taylor]: Taking taylor expansion of x.re in x.re 0.578 * [taylor]: Taking taylor expansion of 0 in x.im 0.579 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.579 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.579 * [taylor]: Taking taylor expansion of 3 in x.im 0.579 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.579 * [taylor]: Taking taylor expansion of x.im in x.im 0.581 * [taylor]: Taking taylor expansion of 0 in x.im 0.584 * [taylor]: Taking taylor expansion of 1 in x.im 0.590 * [taylor]: Taking taylor expansion of 0 in x.im 0.592 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in (x.re x.im) around 0 0.592 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.im 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.im 0.592 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.592 * [taylor]: Taking taylor expansion of x.re in x.im 0.592 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.592 * [taylor]: Taking taylor expansion of 3 in x.im 0.592 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.592 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.592 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.592 * [taylor]: Taking taylor expansion of x.im in x.im 0.592 * [taylor]: Taking taylor expansion of x.re in x.im 0.592 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.re 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.592 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.592 * [taylor]: Taking taylor expansion of x.re in x.re 0.593 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.593 * [taylor]: Taking taylor expansion of 3 in x.re 0.593 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.593 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.593 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.593 * [taylor]: Taking taylor expansion of x.im in x.re 0.593 * [taylor]: Taking taylor expansion of x.re in x.re 0.594 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.re 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.594 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.594 * [taylor]: Taking taylor expansion of x.re in x.re 0.595 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.595 * [taylor]: Taking taylor expansion of 3 in x.re 0.595 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.595 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.595 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.595 * [taylor]: Taking taylor expansion of x.im in x.re 0.595 * [taylor]: Taking taylor expansion of x.re in x.re 0.595 * [taylor]: Taking taylor expansion of 1 in x.im 0.597 * [taylor]: Taking taylor expansion of 0 in x.im 0.599 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.599 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.599 * [taylor]: Taking taylor expansion of 3 in x.im 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.599 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.599 * [taylor]: Taking taylor expansion of x.im in x.im 0.603 * [taylor]: Taking taylor expansion of 0 in x.im 0.608 * [taylor]: Taking taylor expansion of 0 in x.im 0.610 * [approximate]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in (x.re x.im) around 0 0.610 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.im 0.610 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.610 * [taylor]: Taking taylor expansion of 3 in x.im 0.610 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.610 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.610 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.610 * [taylor]: Taking taylor expansion of x.im in x.im 0.610 * [taylor]: Taking taylor expansion of x.re in x.im 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.im 0.611 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.611 * [taylor]: Taking taylor expansion of x.re in x.im 0.611 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.re 0.611 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.611 * [taylor]: Taking taylor expansion of 3 in x.re 0.611 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.611 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.611 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.611 * [taylor]: Taking taylor expansion of x.im in x.re 0.611 * [taylor]: Taking taylor expansion of x.re in x.re 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.612 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.612 * [taylor]: Taking taylor expansion of x.re in x.re 0.612 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.re 0.612 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.612 * [taylor]: Taking taylor expansion of 3 in x.re 0.612 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.612 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.612 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.612 * [taylor]: Taking taylor expansion of x.im in x.re 0.612 * [taylor]: Taking taylor expansion of x.re in x.re 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.613 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.613 * [taylor]: Taking taylor expansion of x.re in x.re 0.614 * [taylor]: Taking taylor expansion of -1 in x.im 0.616 * [taylor]: Taking taylor expansion of 0 in x.im 0.618 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.618 * [taylor]: Taking taylor expansion of 3 in x.im 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.618 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.618 * [taylor]: Taking taylor expansion of x.im in x.im 0.621 * [taylor]: Taking taylor expansion of 0 in x.im 0.627 * [taylor]: Taking taylor expansion of 0 in x.im 0.629 * * * [progress]: simplifying candidates 0.629 * [simplify]: Simplifying using # : (* -3 (* x.re x.im)) (* -3 x.re) (* -3 x.im) (* -3 x.im) (* x.im x.im) (* x.re x.im) (+ (pow (* -3 (* (* x.re x.im) x.im)) 3) (pow (pow x.re 3) 3)) (+ (* (* -3 (* (* x.re x.im) x.im)) (* -3 (* (* x.re x.im) x.im))) (- (* (pow x.re 3) (pow x.re 3)) (* (* -3 (* (* x.re x.im) x.im)) (pow x.re 3)))) (- (* (* -3 (* (* x.re x.im) x.im)) (* -3 (* (* x.re x.im) x.im))) (* (pow x.re 3) (pow x.re 3))) (- (* -3 (* (* x.re x.im) x.im)) (pow x.re 3)) (* -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) (- (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))) 0.632 * * [simplify]: iteration 0 : 89 enodes (cost 74 ) 0.635 * * [simplify]: iteration 1 : 384 enodes (cost 72 ) 0.646 * * [simplify]: iteration 2 : 2254 enodes (cost 70 ) 0.718 * * [simplify]: iteration 3 : 5002 enodes (cost 67 ) 0.719 * [simplify]: Simplified to: (* -3 (* x.re x.im)) (* -3 x.re) (* -3 x.im) (* -3 x.im) (pow x.im 2) (* x.re x.im) (+ (pow (* -3 (* (* x.re x.im) x.im)) 3) (pow (pow x.re 3) 3)) (fma (* -3 (* (pow x.im 2) x.re)) (- (* -3 (* (* x.re x.im) x.im)) (pow x.re 3)) (pow x.re 6)) (fma (* 9 (* x.re x.re)) (pow x.im 4) (- (* (pow x.re 3) (pow x.re 3)))) (- (* -3 (* (* x.re x.im) x.im)) (pow x.re 3)) (* -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) (- (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))) 0.719 * * * [progress]: adding candidates to table 0.762 * * [progress]: iteration 4 / 4 0.762 * * * [progress]: picking best candidate 0.766 * * * * [pick]: Picked # 0.766 * * * [progress]: localizing error 0.774 * * * [progress]: generating rewritten candidates 0.774 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.778 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.786 * * * [progress]: generating series expansions 0.786 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.786 * [approximate]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.786 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.786 * [taylor]: Taking taylor expansion of -3 in x.re 0.786 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.786 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.786 * [taylor]: Taking taylor expansion of x.im in x.re 0.786 * [taylor]: Taking taylor expansion of x.re in x.re 0.786 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.im 0.786 * [taylor]: Taking taylor expansion of -3 in x.im 0.786 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.786 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.786 * [taylor]: Taking taylor expansion of x.im in x.im 0.786 * [taylor]: Taking taylor expansion of x.re in x.im 0.786 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.im 0.786 * [taylor]: Taking taylor expansion of -3 in x.im 0.786 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.786 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.786 * [taylor]: Taking taylor expansion of x.im in x.im 0.786 * [taylor]: Taking taylor expansion of x.re in x.im 0.787 * [taylor]: Taking taylor expansion of (* -3 x.re) in x.re 0.787 * [taylor]: Taking taylor expansion of -3 in x.re 0.787 * [taylor]: Taking taylor expansion of x.re in x.re 0.788 * [taylor]: Taking taylor expansion of 0 in x.re 0.790 * [taylor]: Taking taylor expansion of 0 in x.re 0.792 * [taylor]: Taking taylor expansion of 0 in x.re 0.793 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.793 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.793 * [taylor]: Taking taylor expansion of -3 in x.re 0.793 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.793 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.793 * [taylor]: Taking taylor expansion of x.im in x.re 0.793 * [taylor]: Taking taylor expansion of x.re in x.re 0.793 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.793 * [taylor]: Taking taylor expansion of -3 in x.im 0.793 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.793 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.793 * [taylor]: Taking taylor expansion of x.im in x.im 0.793 * [taylor]: Taking taylor expansion of x.re in x.im 0.794 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.794 * [taylor]: Taking taylor expansion of -3 in x.im 0.794 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.794 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.794 * [taylor]: Taking taylor expansion of x.im in x.im 0.794 * [taylor]: Taking taylor expansion of x.re in x.im 0.794 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.794 * [taylor]: Taking taylor expansion of -3 in x.re 0.794 * [taylor]: Taking taylor expansion of x.re in x.re 0.795 * [taylor]: Taking taylor expansion of 0 in x.re 0.797 * [taylor]: Taking taylor expansion of 0 in x.re 0.799 * [taylor]: Taking taylor expansion of 0 in x.re 0.799 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.799 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.799 * [taylor]: Taking taylor expansion of 3 in x.re 0.800 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.800 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.800 * [taylor]: Taking taylor expansion of x.im in x.re 0.800 * [taylor]: Taking taylor expansion of x.re in x.re 0.800 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.800 * [taylor]: Taking taylor expansion of 3 in x.im 0.800 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.800 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.800 * [taylor]: Taking taylor expansion of x.im in x.im 0.800 * [taylor]: Taking taylor expansion of x.re in x.im 0.801 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.801 * [taylor]: Taking taylor expansion of 3 in x.im 0.801 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.801 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.801 * [taylor]: Taking taylor expansion of x.im in x.im 0.801 * [taylor]: Taking taylor expansion of x.re in x.im 0.801 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.801 * [taylor]: Taking taylor expansion of 3 in x.re 0.801 * [taylor]: Taking taylor expansion of x.re in x.re 0.802 * [taylor]: Taking taylor expansion of 0 in x.re 0.804 * [taylor]: Taking taylor expansion of 0 in x.re 0.806 * [taylor]: Taking taylor expansion of 0 in x.re 0.806 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.807 * [approximate]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in (x.im x.re) around 0 0.807 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.re 0.807 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.807 * [taylor]: Taking taylor expansion of x.re in x.re 0.807 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.807 * [taylor]: Taking taylor expansion of 3 in x.re 0.807 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.807 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.807 * [taylor]: Taking taylor expansion of x.im in x.re 0.807 * [taylor]: Taking taylor expansion of x.re in x.re 0.807 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.im 0.807 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.807 * [taylor]: Taking taylor expansion of x.re in x.im 0.807 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.807 * [taylor]: Taking taylor expansion of 3 in x.im 0.807 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.807 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.807 * [taylor]: Taking taylor expansion of x.im in x.im 0.807 * [taylor]: Taking taylor expansion of x.re in x.im 0.807 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.im 0.807 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.807 * [taylor]: Taking taylor expansion of x.re in x.im 0.807 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.807 * [taylor]: Taking taylor expansion of 3 in x.im 0.807 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.807 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.807 * [taylor]: Taking taylor expansion of x.im in x.im 0.807 * [taylor]: Taking taylor expansion of x.re in x.im 0.807 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.807 * [taylor]: Taking taylor expansion of x.re in x.re 0.808 * [taylor]: Taking taylor expansion of 0 in x.re 0.809 * [taylor]: Taking taylor expansion of (- (* 3 x.re)) in x.re 0.809 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.809 * [taylor]: Taking taylor expansion of 3 in x.re 0.809 * [taylor]: Taking taylor expansion of x.re in x.re 0.811 * [taylor]: Taking taylor expansion of 0 in x.re 0.819 * [taylor]: Taking taylor expansion of 0 in x.re 0.824 * [taylor]: Taking taylor expansion of 0 in x.re 0.825 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in (x.im x.re) around 0 0.825 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.re 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.825 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.825 * [taylor]: Taking taylor expansion of x.re in x.re 0.826 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.826 * [taylor]: Taking taylor expansion of 3 in x.re 0.826 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.826 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.826 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.826 * [taylor]: Taking taylor expansion of x.im in x.re 0.826 * [taylor]: Taking taylor expansion of x.re in x.re 0.826 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.im 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.im 0.826 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.826 * [taylor]: Taking taylor expansion of x.re in x.im 0.827 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.827 * [taylor]: Taking taylor expansion of 3 in x.im 0.827 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.827 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.827 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.827 * [taylor]: Taking taylor expansion of x.im in x.im 0.827 * [taylor]: Taking taylor expansion of x.re in x.im 0.827 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.im 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.im 0.827 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.827 * [taylor]: Taking taylor expansion of x.re in x.im 0.827 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.827 * [taylor]: Taking taylor expansion of 3 in x.im 0.827 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.827 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.827 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.827 * [taylor]: Taking taylor expansion of x.im in x.im 0.827 * [taylor]: Taking taylor expansion of x.re in x.im 0.828 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 x.re))) in x.re 0.828 * [taylor]: Taking taylor expansion of (* 3 (/ 1 x.re)) in x.re 0.828 * [taylor]: Taking taylor expansion of 3 in x.re 0.828 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.828 * [taylor]: Taking taylor expansion of x.re in x.re 0.829 * [taylor]: Taking taylor expansion of 0 in x.re 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.831 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.831 * [taylor]: Taking taylor expansion of x.re in x.re 0.835 * [taylor]: Taking taylor expansion of 0 in x.re 0.841 * [taylor]: Taking taylor expansion of 0 in x.re 0.849 * [taylor]: Taking taylor expansion of 0 in x.re 0.851 * [approximate]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in (x.im x.re) around 0 0.851 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.re 0.851 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.851 * [taylor]: Taking taylor expansion of 3 in x.re 0.851 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.851 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.851 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.851 * [taylor]: Taking taylor expansion of x.im in x.re 0.851 * [taylor]: Taking taylor expansion of x.re in x.re 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.851 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.851 * [taylor]: Taking taylor expansion of x.re in x.re 0.852 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.im 0.852 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.852 * [taylor]: Taking taylor expansion of 3 in x.im 0.852 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.852 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.852 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.852 * [taylor]: Taking taylor expansion of x.im in x.im 0.852 * [taylor]: Taking taylor expansion of x.re in x.im 0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.im 0.853 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.853 * [taylor]: Taking taylor expansion of x.re in x.im 0.853 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.im 0.853 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.853 * [taylor]: Taking taylor expansion of 3 in x.im 0.853 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.853 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.853 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.853 * [taylor]: Taking taylor expansion of x.im in x.im 0.853 * [taylor]: Taking taylor expansion of x.re in x.im 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.im 0.853 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.853 * [taylor]: Taking taylor expansion of x.re in x.im 0.853 * [taylor]: Taking taylor expansion of (* 3 (/ 1 x.re)) in x.re 0.853 * [taylor]: Taking taylor expansion of 3 in x.re 0.854 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.854 * [taylor]: Taking taylor expansion of x.re in x.re 0.855 * [taylor]: Taking taylor expansion of 0 in x.re 0.857 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3))) in x.re 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.857 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.857 * [taylor]: Taking taylor expansion of x.re in x.re 0.861 * [taylor]: Taking taylor expansion of 0 in x.re 0.867 * [taylor]: Taking taylor expansion of 0 in x.re 0.874 * [taylor]: Taking taylor expansion of 0 in x.re 0.876 * * * [progress]: simplifying candidates 0.877 * [simplify]: Simplifying using # : (* (* -3 x.im) x.re) (* (* -3 x.im) x.im) (* x.im (* x.re x.im)) (* -3 (* x.re x.im)) (+ (pow (* (* -3 x.im) (* x.re x.im)) 3) (pow (pow x.re 3) 3)) (+ (* (* (* -3 x.im) (* x.re x.im)) (* (* -3 x.im) (* x.re x.im))) (- (* (pow x.re 3) (pow x.re 3)) (* (* (* -3 x.im) (* x.re x.im)) (pow x.re 3)))) (- (* (* (* -3 x.im) (* x.re x.im)) (* (* -3 x.im) (* x.re x.im))) (* (pow x.re 3) (pow x.re 3))) (- (* (* -3 x.im) (* x.re x.im)) (pow x.re 3)) (+ (* (* -3 x.im) x.im) (* x.re x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -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))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) 0.880 * * [simplify]: iteration 0 : 98 enodes (cost 73 ) 0.882 * * [simplify]: iteration 1 : 358 enodes (cost 71 ) 0.893 * * [simplify]: iteration 2 : 2132 enodes (cost 68 ) 0.965 * * [simplify]: iteration 3 : 5002 enodes (cost 65 ) 0.966 * [simplify]: Simplified to: (* -3 (* x.re x.im)) (* (* -3 x.im) x.im) (* x.im (* x.re x.im)) (* -3 (* x.re x.im)) (+ (pow (* (* -3 x.im) (* x.re x.im)) 3) (pow (pow x.re 3) 3)) (fma (* (* -3 x.im) (* x.re x.im)) (- (* (* -3 x.im) (* x.re x.im)) (pow x.re 3)) (pow x.re 6)) (* (* x.re x.re) (- (* 9 (* (pow x.im 2) (pow x.im 2))) (pow x.re 4))) (- (* (* -3 x.im) (* x.re x.im)) (pow x.re 3)) (fma (* -3 x.im) x.im (* x.re x.re)) (* (* -3 x.im) (* x.re x.im)) (* (* -3 x.im) (* x.re x.im)) (* (* -3 x.im) (* x.re 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))) 0.966 * * * [progress]: adding candidates to table 1.009 * [progress]: [Phase 3 of 3] Extracting. 1.009 * * [regime]: Finding splitpoints for: (# # # # # #) 1.010 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 1.010 * * * * [regimes]: Trying to branch on x.im from (# # # # # #) 1.034 * * * * [regimes]: Trying to branch on x.re from (# # # # # #) 1.054 * * * [regime]: Found split indices: #