1.672 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [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)) 0.028 * * [simplify]: iteration 0 : 24 enodes (cost 9 ) 0.029 * * [simplify]: iteration 1 : 61 enodes (cost 9 ) 0.031 * * [simplify]: iteration 2 : 168 enodes (cost 8 ) 0.035 * * [simplify]: iteration 3 : 483 enodes (cost 6 ) 0.044 * * [simplify]: iteration 4 : 1418 enodes (cost 5 ) 0.066 * * [simplify]: iteration 5 : 3857 enodes (cost 5 ) 0.116 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.117 * [simplify]: Simplified to: (fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3)) 0.119 * * [progress]: iteration 1 / 4 0.119 * * * [progress]: picking best candidate 0.123 * * * * [pick]: Picked # 0.123 * * * [progress]: localizing error 0.130 * * * [progress]: generating rewritten candidates 0.130 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.134 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.135 * * * [progress]: generating series expansions 0.135 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.135 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.135 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.135 * [taylor]: Taking taylor expansion of -1 in x.im 0.135 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.135 * [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 0.136 * [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 0.141 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.141 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.141 * [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 0.142 * [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 0.143 * [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 0.149 * [taylor]: Taking taylor expansion of 0 in x.im 0.152 * [taylor]: Taking taylor expansion of 0 in x.im 0.153 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.153 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.153 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.153 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.153 * [taylor]: Taking taylor expansion of x.im in x.im 0.153 * [taylor]: Taking taylor expansion of x.re in x.im 0.153 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.153 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.153 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.153 * [taylor]: Taking taylor expansion of x.im in x.re 0.153 * [taylor]: Taking taylor expansion of x.re in x.re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.154 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.154 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.154 * [taylor]: Taking taylor expansion of x.im in x.re 0.154 * [taylor]: Taking taylor expansion of x.re in x.re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.154 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.154 * [taylor]: Taking taylor expansion of x.im in x.im 0.156 * [taylor]: Taking taylor expansion of 0 in x.im 0.158 * [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 0.164 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.164 * [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 0.164 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.im 0.164 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.164 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.im 0.164 * [taylor]: Taking taylor expansion of 3 in x.im 0.164 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.164 * [taylor]: Taking taylor expansion of -1 in x.im 0.164 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.164 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.164 * [taylor]: Taking taylor expansion of x.im in x.im 0.164 * [taylor]: Taking taylor expansion of x.re in x.im 0.164 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.164 * [taylor]: Taking taylor expansion of x.re in x.im 0.164 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.164 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.164 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.164 * [taylor]: Taking taylor expansion of 3 in x.re 0.164 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.164 * [taylor]: Taking taylor expansion of -1 in x.re 0.164 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.164 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.164 * [taylor]: Taking taylor expansion of x.im in x.re 0.164 * [taylor]: Taking taylor expansion of x.re in x.re 0.164 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.164 * [taylor]: Taking taylor expansion of x.re in x.re 0.164 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.165 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.165 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.165 * [taylor]: Taking taylor expansion of 3 in x.re 0.165 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.165 * [taylor]: Taking taylor expansion of -1 in x.re 0.165 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.165 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.165 * [taylor]: Taking taylor expansion of x.im in x.re 0.165 * [taylor]: Taking taylor expansion of x.re in x.re 0.165 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.165 * [taylor]: Taking taylor expansion of x.re in x.re 0.166 * [taylor]: Taking taylor expansion of 0 in x.im 0.167 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.167 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.167 * [taylor]: Taking taylor expansion of 3 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 0.169 * [taylor]: Taking taylor expansion of 0 in x.im 0.172 * [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 0.183 * [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 0.183 * [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 0.184 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.184 * [taylor]: Taking taylor expansion of -1 in x.re 0.184 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.184 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.184 * [taylor]: Taking taylor expansion of x.im in x.re 0.184 * [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 0.199 * [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 0.199 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.im 0.199 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.199 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.199 * [taylor]: Taking taylor expansion of 3 in x.im 0.199 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.199 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.199 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.199 * [taylor]: Taking taylor expansion of x.im in x.im 0.199 * [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 # : (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))) 0.221 * * [simplify]: iteration 0 : 129 enodes (cost 200 ) 0.224 * * [simplify]: iteration 1 : 707 enodes (cost 179 ) 0.242 * * [simplify]: iteration 2 : 4464 enodes (cost 174 ) 0.348 * * [simplify]: iteration 3 : 5001 enodes (cost 173 ) 0.349 * [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)) 0.350 * * * [progress]: adding candidates to table 0.445 * * [progress]: iteration 2 / 4 0.445 * * * [progress]: picking best candidate 0.459 * * * * [pick]: Picked # 0.459 * * * [progress]: localizing error 0.466 * * * [progress]: generating rewritten candidates 0.466 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.467 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.476 * * * [progress]: generating series expansions 0.476 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.476 * [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 0.476 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.im 0.476 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.476 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.im 0.476 * [taylor]: Taking taylor expansion of 3 in x.im 0.476 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.476 * [taylor]: Taking taylor expansion of -1 in x.im 0.476 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.476 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.476 * [taylor]: Taking taylor expansion of x.im in x.im 0.476 * [taylor]: Taking taylor expansion of x.re in x.im 0.476 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.476 * [taylor]: Taking taylor expansion of x.re in x.im 0.476 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.476 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.476 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.476 * [taylor]: Taking taylor expansion of 3 in x.re 0.476 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.477 * [taylor]: Taking taylor expansion of -1 in x.re 0.477 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.477 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.477 * [taylor]: Taking taylor expansion of x.im in x.re 0.477 * [taylor]: Taking taylor expansion of x.re in x.re 0.477 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.477 * [taylor]: Taking taylor expansion of x.re in x.re 0.477 * [taylor]: Taking taylor expansion of (fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) in x.re 0.477 * [taylor]: Rewrote expression to (+ (* 3 (* -1 (* (pow x.im 2) x.re))) (pow x.re 3)) 0.477 * [taylor]: Taking taylor expansion of (* 3 (* -1 (* (pow x.im 2) x.re))) in x.re 0.477 * [taylor]: Taking taylor expansion of 3 in x.re 0.477 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.477 * [taylor]: Taking taylor expansion of -1 in x.re 0.477 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.477 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.477 * [taylor]: Taking taylor expansion of x.im in x.re 0.477 * [taylor]: Taking taylor expansion of x.re in x.re 0.477 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.477 * [taylor]: Taking taylor expansion of x.re in x.re 0.478 * [taylor]: Taking taylor expansion of 0 in x.im 0.479 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.479 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.479 * [taylor]: Taking taylor expansion of 3 in x.im 0.479 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.479 * [taylor]: Taking taylor expansion of x.im in x.im 0.481 * [taylor]: Taking taylor expansion of 0 in x.im 0.487 * [taylor]: Taking taylor expansion of 1 in x.im 0.492 * [taylor]: Taking taylor expansion of 0 in x.im 0.494 * [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 0.494 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.im 0.494 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.494 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.im 0.494 * [taylor]: Taking taylor expansion of 3 in x.im 0.494 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.494 * [taylor]: Taking taylor expansion of -1 in x.im 0.494 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.494 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.494 * [taylor]: Taking taylor expansion of x.im in x.im 0.494 * [taylor]: Taking taylor expansion of x.re in x.im 0.494 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.im 0.494 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.494 * [taylor]: Taking taylor expansion of x.re in x.im 0.494 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.495 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.495 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.495 * [taylor]: Taking taylor expansion of 3 in x.re 0.495 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.495 * [taylor]: Taking taylor expansion of -1 in x.re 0.495 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.495 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.495 * [taylor]: Taking taylor expansion of x.im in x.re 0.495 * [taylor]: Taking taylor expansion of x.re in x.re 0.495 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.495 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.495 * [taylor]: Taking taylor expansion of x.re in x.re 0.495 * [taylor]: Taking taylor expansion of (fma 3 (/ -1 (* (pow x.im 2) x.re)) (pow (/ 1 x.re) 3)) in x.re 0.496 * [taylor]: Rewrote expression to (+ (* 3 (/ -1 (* (pow x.im 2) x.re))) (pow (/ 1 x.re) 3)) 0.496 * [taylor]: Taking taylor expansion of (* 3 (/ -1 (* (pow x.im 2) x.re))) in x.re 0.496 * [taylor]: Taking taylor expansion of 3 in x.re 0.496 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.496 * [taylor]: Taking taylor expansion of -1 in x.re 0.496 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.496 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.496 * [taylor]: Taking taylor expansion of x.im in x.re 0.496 * [taylor]: Taking taylor expansion of x.re in x.re 0.496 * [taylor]: Taking taylor expansion of (pow (/ 1 x.re) 3) in x.re 0.496 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.496 * [taylor]: Taking taylor expansion of x.re in x.re 0.497 * [taylor]: Taking taylor expansion of 1 in x.im 0.499 * [taylor]: Taking taylor expansion of 0 in x.im 0.501 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.501 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.501 * [taylor]: Taking taylor expansion of 3 in x.im 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.501 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.501 * [taylor]: Taking taylor expansion of x.im in x.im 0.505 * [taylor]: Taking taylor expansion of 0 in x.im 0.510 * [taylor]: Taking taylor expansion of 0 in x.im 0.512 * [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 0.512 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.im 0.512 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.512 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.512 * [taylor]: Taking taylor expansion of 3 in x.im 0.512 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.512 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) 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 0.512 * [taylor]: Taking taylor expansion of x.re in x.im 0.512 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.im 0.512 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.512 * [taylor]: Taking taylor expansion of -1 in x.im 0.512 * [taylor]: Taking taylor expansion of x.re in x.im 0.513 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.513 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.513 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.513 * [taylor]: Taking taylor expansion of 3 in x.re 0.513 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.513 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.513 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.513 * [taylor]: Taking taylor expansion of x.im in x.re 0.513 * [taylor]: Taking taylor expansion of x.re in x.re 0.513 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.513 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.513 * [taylor]: Taking taylor expansion of -1 in x.re 0.513 * [taylor]: Taking taylor expansion of x.re in x.re 0.514 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (* (pow x.im 2) x.re)) (pow (/ -1 x.re) 3)) in x.re 0.514 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (* (pow x.im 2) x.re))) (pow (/ -1 x.re) 3)) 0.514 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.514 * [taylor]: Taking taylor expansion of 3 in x.re 0.514 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.514 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.514 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.514 * [taylor]: Taking taylor expansion of x.im in x.re 0.514 * [taylor]: Taking taylor expansion of x.re in x.re 0.514 * [taylor]: Taking taylor expansion of (pow (/ -1 x.re) 3) in x.re 0.514 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.514 * [taylor]: Taking taylor expansion of -1 in x.re 0.514 * [taylor]: Taking taylor expansion of x.re in x.re 0.515 * [taylor]: Taking taylor expansion of -1 in x.im 0.517 * [taylor]: Taking taylor expansion of 0 in x.im 0.518 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.518 * [taylor]: Taking taylor expansion of 3 in x.im 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.519 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.519 * [taylor]: Taking taylor expansion of x.im in x.im 0.522 * [taylor]: Taking taylor expansion of 0 in x.im 0.527 * [taylor]: Taking taylor expansion of 0 in x.im 0.529 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.529 * [approximate]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.529 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.im 0.529 * [taylor]: Taking taylor expansion of -1 in x.im 0.529 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.529 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.529 * [taylor]: Taking taylor expansion of x.im in x.im 0.529 * [taylor]: Taking taylor expansion of x.re in x.im 0.529 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.529 * [taylor]: Taking taylor expansion of -1 in x.re 0.529 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.529 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.529 * [taylor]: Taking taylor expansion of x.im in x.re 0.529 * [taylor]: Taking taylor expansion of x.re in x.re 0.529 * [taylor]: Taking taylor expansion of (* -1 (* (pow x.im 2) x.re)) in x.re 0.529 * [taylor]: Taking taylor expansion of -1 in x.re 0.529 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.529 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.529 * [taylor]: Taking taylor expansion of x.im in x.re 0.529 * [taylor]: Taking taylor expansion of x.re in x.re 0.530 * [taylor]: Taking taylor expansion of 0 in x.im 0.531 * [taylor]: Taking taylor expansion of (- (pow x.im 2)) 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 0.535 * [taylor]: Taking taylor expansion of 0 in x.im 0.535 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.535 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.535 * [taylor]: Taking taylor expansion of -1 in x.im 0.535 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.535 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.535 * [taylor]: Taking taylor expansion of x.im in x.im 0.535 * [taylor]: Taking taylor expansion of x.re in x.im 0.535 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.535 * [taylor]: Taking taylor expansion of -1 in x.re 0.535 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.535 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.535 * [taylor]: Taking taylor expansion of x.im in x.re 0.535 * [taylor]: Taking taylor expansion of x.re in x.re 0.536 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.536 * [taylor]: Taking taylor expansion of -1 in x.re 0.536 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.536 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.536 * [taylor]: Taking taylor expansion of x.im in x.re 0.536 * [taylor]: Taking taylor expansion of x.re in x.re 0.537 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.537 * [taylor]: Taking taylor expansion of -1 in x.im 0.537 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.537 * [taylor]: Taking taylor expansion of x.im in x.im 0.538 * [taylor]: Taking taylor expansion of 0 in x.im 0.540 * [taylor]: Taking taylor expansion of 0 in x.im 0.543 * [taylor]: Taking taylor expansion of 0 in x.im 0.546 * [taylor]: Taking taylor expansion of 0 in x.im 0.546 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.546 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.546 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.546 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.546 * [taylor]: Taking taylor expansion of x.im in x.im 0.546 * [taylor]: Taking taylor expansion of x.re in x.im 0.546 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.546 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.546 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.547 * [taylor]: Taking taylor expansion of x.im in x.re 0.547 * [taylor]: Taking taylor expansion of x.re in x.re 0.547 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.547 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.547 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.547 * [taylor]: Taking taylor expansion of x.im in x.re 0.547 * [taylor]: Taking taylor expansion of x.re in x.re 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.548 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.548 * [taylor]: Taking taylor expansion of x.im in x.im 0.549 * [taylor]: Taking taylor expansion of 0 in x.im 0.551 * [taylor]: Taking taylor expansion of 0 in x.im 0.554 * [taylor]: Taking taylor expansion of 0 in x.im 0.557 * [taylor]: Taking taylor expansion of 0 in x.im 0.557 * * * [progress]: simplifying candidates 0.557 * [simplify]: Simplifying using # : (expm1 (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (log1p (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (* 3 (* (* x.re x.im) (- x.im))) (log (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (exp (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (* (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3)))) (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (* (* (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3)) (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (sqrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (sqrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (expm1 (* (* x.re x.im) (- x.im))) (log1p (* (* x.re x.im) (- x.im))) (* (* x.re x.im) (- x.im)) (* (* x.re x.im) (- x.im)) (+ (+ (log x.re) (log x.im)) (log (- x.im))) (+ (log (* x.re x.im)) (log (- x.im))) (log (* (* x.re x.im) (- x.im))) (exp (* (* x.re x.im) (- x.im))) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* (- x.im) (- x.im)) (- x.im))) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* (- x.im) (- x.im)) (- x.im))) (* (cbrt (* (* x.re x.im) (- x.im))) (cbrt (* (* x.re x.im) (- x.im)))) (cbrt (* (* x.re x.im) (- x.im))) (* (* (* (* x.re x.im) (- x.im)) (* (* x.re x.im) (- x.im))) (* (* x.re x.im) (- x.im))) (sqrt (* (* x.re x.im) (- x.im))) (sqrt (* (* x.re x.im) (- x.im))) (* (* x.re x.im) x.im) (* (* x.re x.im) (* (cbrt (- x.im)) (cbrt (- x.im)))) (* (* x.re x.im) (sqrt (- x.im))) (* (* x.re x.im) 1) (* (* x.re x.im) -1) (* (* x.re x.im) (- (* (cbrt x.im) (cbrt x.im)))) (* (* x.re x.im) (- (sqrt x.im))) (* (* x.re x.im) (- 1)) (* (* x.re x.im) (* (cbrt x.im) (cbrt x.im))) (* (* x.re x.im) (sqrt x.im)) (* (* x.re x.im) 1) (* x.im (- x.im)) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) 0.561 * * [simplify]: iteration 0 : 186 enodes (cost 216 ) 0.566 * * [simplify]: iteration 1 : 1009 enodes (cost 190 ) 0.592 * * [simplify]: iteration 2 : 5002 enodes (cost 185 ) 0.594 * [simplify]: Simplified to: (expm1 (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (log1p (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (* -3 (* (* x.re x.im) x.im)) (log (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (exp (fma -3 (* (* x.re x.im) x.im) (pow x.re 3))) (* (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3)))) (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (pow (fma -3 (* (* x.re x.im) x.im) (pow x.re 3)) 3) (sqrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (sqrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (expm1 (* (* x.re x.im) (- x.im))) (log1p (* (* x.re x.im) (- x.im))) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (log (* (* x.re x.im) (- x.im))) (log (* (* x.re x.im) (- x.im))) (log (* (* x.re x.im) (- x.im))) (exp (* (* x.re x.im) (- x.im))) (pow (* -1 (* (pow x.im 2) x.re)) 3) (pow (* -1 (* (pow x.im 2) x.re)) 3) (* (cbrt (* (* x.re x.im) (- x.im))) (cbrt (* (* x.re x.im) (- x.im)))) (cbrt (* (* x.re x.im) (- x.im))) (pow (* -1 (* (pow x.im 2) x.re)) 3) (sqrt (* (* x.re x.im) (- x.im))) (sqrt (* (* x.re x.im) (- x.im))) (* (* x.re x.im) x.im) (* (* x.re x.im) (* (cbrt (- x.im)) (cbrt (- x.im)))) (* (* x.re x.im) (sqrt (- x.im))) (* x.re x.im) (- (* x.re x.im)) (* (* x.re x.im) (- (* (cbrt x.im) (cbrt x.im)))) (* (* x.re x.im) (- (sqrt x.im))) (- (* x.re x.im)) (* (* x.re x.im) (* (cbrt x.im) (cbrt x.im))) (* (* x.re x.im) (sqrt x.im)) (* x.re x.im) (* x.im (- x.im)) (fma -3 (* (* x.re x.im) x.im) (pow x.re 3)) (fma -3 (* (* x.re x.im) x.im) (pow x.re 3)) (fma -3 (* (* x.re x.im) x.im) (pow x.re 3)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) (* -1 (* (pow x.im 2) x.re)) 0.594 * * * [progress]: adding candidates to table 0.685 * * [progress]: iteration 3 / 4 0.685 * * * [progress]: picking best candidate 0.706 * * * * [pick]: Picked # 0.706 * * * [progress]: localizing error 0.713 * * * [progress]: generating rewritten candidates 0.713 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.730 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.738 * * * [progress]: generating series expansions 0.738 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.738 * [approximate]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.738 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.im 0.738 * [taylor]: Taking taylor expansion of -3 in x.im 0.738 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.738 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.738 * [taylor]: Taking taylor expansion of x.im in x.im 0.738 * [taylor]: Taking taylor expansion of x.re in x.im 0.738 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.738 * [taylor]: Taking taylor expansion of -3 in x.re 0.738 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.738 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.738 * [taylor]: Taking taylor expansion of x.im in x.re 0.738 * [taylor]: Taking taylor expansion of x.re in x.re 0.738 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.738 * [taylor]: Taking taylor expansion of -3 in x.re 0.738 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.738 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.738 * [taylor]: Taking taylor expansion of x.im in x.re 0.738 * [taylor]: Taking taylor expansion of x.re in x.re 0.739 * [taylor]: Taking taylor expansion of 0 in x.im 0.739 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.739 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.739 * [taylor]: Taking taylor expansion of 3 in x.im 0.739 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.739 * [taylor]: Taking taylor expansion of x.im in x.im 0.741 * [taylor]: Taking taylor expansion of 0 in x.im 0.744 * [taylor]: Taking taylor expansion of 0 in x.im 0.745 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.745 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.745 * [taylor]: Taking taylor expansion of -3 in x.im 0.745 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.745 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.745 * [taylor]: Taking taylor expansion of x.im in x.im 0.745 * [taylor]: Taking taylor expansion of x.re in x.im 0.745 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.745 * [taylor]: Taking taylor expansion of -3 in x.re 0.745 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.745 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.745 * [taylor]: Taking taylor expansion of x.im in x.re 0.745 * [taylor]: Taking taylor expansion of x.re in x.re 0.746 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.746 * [taylor]: Taking taylor expansion of -3 in x.re 0.746 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.746 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.746 * [taylor]: Taking taylor expansion of x.im in x.re 0.746 * [taylor]: Taking taylor expansion of x.re in x.re 0.746 * [taylor]: Taking taylor expansion of (/ -3 (pow x.im 2)) in x.im 0.746 * [taylor]: Taking taylor expansion of -3 in x.im 0.746 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.746 * [taylor]: Taking taylor expansion of x.im in x.im 0.748 * [taylor]: Taking taylor expansion of 0 in x.im 0.750 * [taylor]: Taking taylor expansion of 0 in x.im 0.753 * [taylor]: Taking taylor expansion of 0 in x.im 0.756 * [taylor]: Taking taylor expansion of 0 in x.im 0.756 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.756 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.756 * [taylor]: Taking taylor expansion of 3 in x.im 0.756 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.756 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.756 * [taylor]: Taking taylor expansion of x.im in x.im 0.756 * [taylor]: Taking taylor expansion of x.re in x.im 0.757 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.757 * [taylor]: Taking taylor expansion of 3 in x.re 0.757 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.757 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.757 * [taylor]: Taking taylor expansion of x.im in x.re 0.757 * [taylor]: Taking taylor expansion of x.re in x.re 0.757 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.757 * [taylor]: Taking taylor expansion of 3 in x.re 0.757 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.757 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.757 * [taylor]: Taking taylor expansion of x.im in x.re 0.757 * [taylor]: Taking taylor expansion of x.re in x.re 0.758 * [taylor]: Taking taylor expansion of (/ 3 (pow x.im 2)) in x.im 0.758 * [taylor]: Taking taylor expansion of 3 in x.im 0.758 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.758 * [taylor]: Taking taylor expansion of x.im in x.im 0.759 * [taylor]: Taking taylor expansion of 0 in x.im 0.761 * [taylor]: Taking taylor expansion of 0 in x.im 0.764 * [taylor]: Taking taylor expansion of 0 in x.im 0.767 * [taylor]: Taking taylor expansion of 0 in x.im 0.767 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.767 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.re x.im) around 0 0.767 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.767 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.767 * [taylor]: Taking taylor expansion of x.im in x.im 0.767 * [taylor]: Taking taylor expansion of x.re in x.im 0.767 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.767 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.767 * [taylor]: Taking taylor expansion of x.im in x.re 0.767 * [taylor]: Taking taylor expansion of x.re in x.re 0.767 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.767 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.767 * [taylor]: Taking taylor expansion of x.im in x.re 0.767 * [taylor]: Taking taylor expansion of x.re in x.re 0.768 * [taylor]: Taking taylor expansion of 0 in x.im 0.768 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.768 * [taylor]: Taking taylor expansion of x.im in x.im 0.769 * [taylor]: Taking taylor expansion of 0 in x.im 0.770 * [taylor]: Taking taylor expansion of 0 in x.im 0.771 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.771 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.771 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.771 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.771 * [taylor]: Taking taylor expansion of x.im in x.im 0.771 * [taylor]: Taking taylor expansion of x.re in x.im 0.771 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.771 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.771 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.771 * [taylor]: Taking taylor expansion of x.im in x.re 0.771 * [taylor]: Taking taylor expansion of x.re in x.re 0.772 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.772 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.772 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.772 * [taylor]: Taking taylor expansion of x.im in x.re 0.772 * [taylor]: Taking taylor expansion of x.re in x.re 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.772 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.772 * [taylor]: Taking taylor expansion of x.im in x.im 0.774 * [taylor]: Taking taylor expansion of 0 in x.im 0.775 * [taylor]: Taking taylor expansion of 0 in x.im 0.778 * [taylor]: Taking taylor expansion of 0 in x.im 0.781 * [taylor]: Taking taylor expansion of 0 in x.im 0.781 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.781 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.781 * [taylor]: Taking taylor expansion of -1 in x.im 0.781 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.781 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.781 * [taylor]: Taking taylor expansion of x.im in x.im 0.781 * [taylor]: Taking taylor expansion of x.re in x.im 0.782 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.782 * [taylor]: Taking taylor expansion of -1 in x.re 0.782 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.782 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.782 * [taylor]: Taking taylor expansion of x.im in x.re 0.782 * [taylor]: Taking taylor expansion of x.re in x.re 0.782 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.782 * [taylor]: Taking taylor expansion of -1 in x.re 0.782 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.782 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.782 * [taylor]: Taking taylor expansion of x.im in x.re 0.782 * [taylor]: Taking taylor expansion of x.re in x.re 0.783 * [taylor]: Taking taylor expansion of (/ -1 (pow x.im 2)) in x.im 0.783 * [taylor]: Taking taylor expansion of -1 in x.im 0.783 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.783 * [taylor]: Taking taylor expansion of x.im in x.im 0.787 * [taylor]: Taking taylor expansion of 0 in x.im 0.789 * [taylor]: Taking taylor expansion of 0 in x.im 0.792 * [taylor]: Taking taylor expansion of 0 in x.im 0.795 * [taylor]: Taking taylor expansion of 0 in x.im 0.795 * * * [progress]: simplifying candidates 0.796 * [simplify]: Simplifying using # : (expm1 (* -3 (* (* x.re x.im) x.im))) (log1p (* -3 (* (* x.re x.im) x.im))) (* -3 (* (* x.re x.im) x.im)) (* -3 (* (* x.re x.im) x.im)) (* -3 (* (* x.re x.im) x.im)) (+ (log -3) (+ (+ (log x.re) (log x.im)) (log x.im))) (+ (log -3) (+ (log (* x.re x.im)) (log x.im))) (+ (log -3) (log (* (* x.re x.im) x.im))) (log (* -3 (* (* x.re x.im) x.im))) (exp (* -3 (* (* x.re x.im) x.im))) (* (* (* -3 -3) -3) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* x.im x.im) x.im))) (* (* (* -3 -3) -3) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* x.im x.im) x.im))) (* (* (* -3 -3) -3) (* (* (* (* x.re x.im) x.im) (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im))) (* (cbrt (* -3 (* (* x.re x.im) x.im))) (cbrt (* -3 (* (* x.re x.im) x.im)))) (cbrt (* -3 (* (* x.re x.im) x.im))) (* (* (* -3 (* (* x.re x.im) x.im)) (* -3 (* (* x.re x.im) x.im))) (* -3 (* (* x.re x.im) x.im))) (sqrt (* -3 (* (* x.re x.im) x.im))) (sqrt (* -3 (* (* x.re x.im) x.im))) (* -3 (* x.re x.im)) (* (cbrt -3) (* (* x.re x.im) x.im)) (* (sqrt -3) (* (* x.re x.im) x.im)) (* -3 (* (* x.re x.im) x.im)) (expm1 (* (* x.re x.im) x.im)) (log1p (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) (+ (+ (log x.re) (log x.im)) (log x.im)) (+ (log (* x.re x.im)) (log x.im)) (log (* (* x.re x.im) x.im)) (exp (* (* x.re x.im) x.im)) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* x.im x.im) x.im)) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* x.im x.im) x.im)) (* (cbrt (* (* x.re x.im) x.im)) (cbrt (* (* x.re x.im) x.im))) (cbrt (* (* x.re x.im) x.im)) (* (* (* (* x.re x.im) x.im) (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im)) (sqrt (* (* x.re x.im) x.im)) (sqrt (* (* x.re x.im) x.im)) (* (* x.re x.im) (* (cbrt x.im) (cbrt x.im))) (* (* x.re x.im) (sqrt x.im)) (* (* x.re x.im) 1) (* x.im x.im) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) 0.799 * * [simplify]: iteration 0 : 170 enodes (cost 195 ) 0.803 * * [simplify]: iteration 1 : 863 enodes (cost 159 ) 0.825 * * [simplify]: iteration 2 : 5002 enodes (cost 159 ) 0.826 * [simplify]: Simplified to: (expm1 (* -3 (* (* x.re x.im) x.im))) (log1p (* -3 (* (* x.re x.im) x.im))) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (log (* -3 (* (* x.re x.im) x.im))) (log (* -3 (* (* x.re x.im) x.im))) (log (* -3 (* (* x.re x.im) x.im))) (log (* -3 (* (* x.re x.im) x.im))) (exp (* -3 (* (* x.re x.im) x.im))) (pow (* -3 (* (pow x.im 2) x.re)) 3) (pow (* -3 (* (pow x.im 2) x.re)) 3) (pow (* -3 (* (pow x.im 2) x.re)) 3) (* (cbrt (* -3 (* (* x.re x.im) x.im))) (cbrt (* -3 (* (* x.re x.im) x.im)))) (cbrt (* -3 (* (* x.re x.im) x.im))) (pow (* -3 (* (pow x.im 2) x.re)) 3) (sqrt (* -3 (* (* x.re x.im) x.im))) (sqrt (* -3 (* (* x.re x.im) x.im))) (* -3 (* x.re x.im)) (* (cbrt -3) (* (* x.re x.im) x.im)) (* (sqrt -3) (* (* x.re x.im) x.im)) (* -3 (* (pow x.im 2) x.re)) (expm1 (* (* x.re x.im) x.im)) (log1p (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) (log (* (* x.re x.im) x.im)) (log (* (* x.re x.im) x.im)) (log (* (* x.re x.im) x.im)) (exp (* (* x.re x.im) x.im)) (pow (* (* x.re x.im) x.im) 3) (pow (* (* x.re x.im) x.im) 3) (* (cbrt (* (* x.re x.im) x.im)) (cbrt (* (* x.re x.im) x.im))) (cbrt (* (* x.re x.im) x.im)) (pow (* (* x.re x.im) x.im) 3) (sqrt (* (* x.re x.im) x.im)) (sqrt (* (* x.re x.im) x.im)) (* (* x.re x.im) (* (cbrt x.im) (cbrt x.im))) (* (* x.re x.im) (sqrt x.im)) (* x.re x.im) (pow x.im 2) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) (* (* x.re x.im) x.im) 0.827 * * * [progress]: adding candidates to table 0.905 * * [progress]: iteration 4 / 4 0.905 * * * [progress]: picking best candidate 0.920 * * * * [pick]: Picked # 0.920 * * * [progress]: localizing error 0.927 * * * [progress]: generating rewritten candidates 0.927 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.933 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.951 * * * [progress]: generating series expansions 0.952 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.952 * [approximate]: Taking taylor expansion of (* -3 (* x.im x.re)) in (x.re x.im) around 0 0.952 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.im 0.952 * [taylor]: Taking taylor expansion of -3 in x.im 0.952 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.952 * [taylor]: Taking taylor expansion of x.im in x.im 0.952 * [taylor]: Taking taylor expansion of x.re in x.im 0.952 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 0.952 * [taylor]: Taking taylor expansion of -3 in x.re 0.952 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.952 * [taylor]: Taking taylor expansion of x.im in x.re 0.952 * [taylor]: Taking taylor expansion of x.re in x.re 0.952 * [taylor]: Taking taylor expansion of (* -3 (* x.im x.re)) in x.re 0.952 * [taylor]: Taking taylor expansion of -3 in x.re 0.952 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.952 * [taylor]: Taking taylor expansion of x.im in x.re 0.952 * [taylor]: Taking taylor expansion of x.re in x.re 0.953 * [taylor]: Taking taylor expansion of 0 in x.im 0.953 * [taylor]: Taking taylor expansion of (- (* 3 x.im)) in x.im 0.953 * [taylor]: Taking taylor expansion of (* 3 x.im) in x.im 0.953 * [taylor]: Taking taylor expansion of 3 in x.im 0.953 * [taylor]: Taking taylor expansion of x.im in x.im 0.955 * [taylor]: Taking taylor expansion of 0 in x.im 0.956 * [taylor]: Taking taylor expansion of 0 in x.im 0.959 * [taylor]: Taking taylor expansion of 0 in x.im 0.959 * [approximate]: Taking taylor expansion of (/ -3 (* x.im x.re)) in (x.re x.im) around 0 0.959 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 0.959 * [taylor]: Taking taylor expansion of -3 in x.im 0.959 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.959 * [taylor]: Taking taylor expansion of x.im in x.im 0.959 * [taylor]: Taking taylor expansion of x.re in x.im 0.959 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 0.959 * [taylor]: Taking taylor expansion of -3 in x.re 0.959 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.959 * [taylor]: Taking taylor expansion of x.im in x.re 0.959 * [taylor]: Taking taylor expansion of x.re in x.re 0.959 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 0.959 * [taylor]: Taking taylor expansion of -3 in x.re 0.959 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.960 * [taylor]: Taking taylor expansion of x.im in x.re 0.960 * [taylor]: Taking taylor expansion of x.re in x.re 0.960 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 0.960 * [taylor]: Taking taylor expansion of -3 in x.im 0.960 * [taylor]: Taking taylor expansion of x.im in x.im 0.961 * [taylor]: Taking taylor expansion of 0 in x.im 0.962 * [taylor]: Taking taylor expansion of 0 in x.im 0.963 * [taylor]: Taking taylor expansion of 0 in x.im 0.964 * [approximate]: Taking taylor expansion of (/ -3 (* x.im x.re)) in (x.re x.im) around 0 0.964 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.im 0.964 * [taylor]: Taking taylor expansion of -3 in x.im 0.964 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.964 * [taylor]: Taking taylor expansion of x.im in x.im 0.964 * [taylor]: Taking taylor expansion of x.re in x.im 0.964 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 0.964 * [taylor]: Taking taylor expansion of -3 in x.re 0.964 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.964 * [taylor]: Taking taylor expansion of x.im in x.re 0.964 * [taylor]: Taking taylor expansion of x.re in x.re 0.964 * [taylor]: Taking taylor expansion of (/ -3 (* x.im x.re)) in x.re 0.964 * [taylor]: Taking taylor expansion of -3 in x.re 0.964 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.964 * [taylor]: Taking taylor expansion of x.im in x.re 0.965 * [taylor]: Taking taylor expansion of x.re in x.re 0.965 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 0.965 * [taylor]: Taking taylor expansion of -3 in x.im 0.965 * [taylor]: Taking taylor expansion of x.im in x.im 0.966 * [taylor]: Taking taylor expansion of 0 in x.im 0.967 * [taylor]: Taking taylor expansion of 0 in x.im 0.968 * [taylor]: Taking taylor expansion of 0 in x.im 0.968 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.969 * [approximate]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.969 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.im 0.969 * [taylor]: Taking taylor expansion of -3 in x.im 0.969 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.969 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.969 * [taylor]: Taking taylor expansion of x.im in x.im 0.969 * [taylor]: Taking taylor expansion of x.re in x.im 0.969 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.969 * [taylor]: Taking taylor expansion of -3 in x.re 0.969 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.969 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.969 * [taylor]: Taking taylor expansion of x.im in x.re 0.969 * [taylor]: Taking taylor expansion of x.re in x.re 0.969 * [taylor]: Taking taylor expansion of (* -3 (* (pow x.im 2) x.re)) in x.re 0.969 * [taylor]: Taking taylor expansion of -3 in x.re 0.969 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.969 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.969 * [taylor]: Taking taylor expansion of x.im in x.re 0.969 * [taylor]: Taking taylor expansion of x.re in x.re 0.969 * [taylor]: Taking taylor expansion of 0 in x.im 0.970 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.970 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.970 * [taylor]: Taking taylor expansion of 3 in x.im 0.970 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.970 * [taylor]: Taking taylor expansion of x.im in x.im 0.972 * [taylor]: Taking taylor expansion of 0 in x.im 0.975 * [taylor]: Taking taylor expansion of 0 in x.im 0.975 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.975 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.975 * [taylor]: Taking taylor expansion of -3 in x.im 0.975 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.975 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.975 * [taylor]: Taking taylor expansion of x.im in x.im 0.975 * [taylor]: Taking taylor expansion of x.re in x.im 0.975 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.975 * [taylor]: Taking taylor expansion of -3 in x.re 0.975 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.975 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.975 * [taylor]: Taking taylor expansion of x.im in x.re 0.976 * [taylor]: Taking taylor expansion of x.re in x.re 0.976 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.976 * [taylor]: Taking taylor expansion of -3 in x.re 0.976 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.976 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.976 * [taylor]: Taking taylor expansion of x.im in x.re 0.976 * [taylor]: Taking taylor expansion of x.re in x.re 0.977 * [taylor]: Taking taylor expansion of (/ -3 (pow x.im 2)) in x.im 0.977 * [taylor]: Taking taylor expansion of -3 in x.im 0.977 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.977 * [taylor]: Taking taylor expansion of x.im in x.im 0.978 * [taylor]: Taking taylor expansion of 0 in x.im 0.980 * [taylor]: Taking taylor expansion of 0 in x.im 0.983 * [taylor]: Taking taylor expansion of 0 in x.im 0.986 * [taylor]: Taking taylor expansion of 0 in x.im 0.986 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.re x.im) around 0 0.986 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.986 * [taylor]: Taking taylor expansion of 3 in x.im 0.986 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.986 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.986 * [taylor]: Taking taylor expansion of x.im in x.im 0.986 * [taylor]: Taking taylor expansion of x.re in x.im 0.987 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.987 * [taylor]: Taking taylor expansion of 3 in x.re 0.987 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.987 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.987 * [taylor]: Taking taylor expansion of x.im in x.re 0.987 * [taylor]: Taking taylor expansion of x.re in x.re 0.987 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.987 * [taylor]: Taking taylor expansion of 3 in x.re 0.987 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.987 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.987 * [taylor]: Taking taylor expansion of x.im in x.re 0.987 * [taylor]: Taking taylor expansion of x.re in x.re 0.988 * [taylor]: Taking taylor expansion of (/ 3 (pow x.im 2)) in x.im 0.988 * [taylor]: Taking taylor expansion of 3 in x.im 0.988 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.988 * [taylor]: Taking taylor expansion of x.im in x.im 0.989 * [taylor]: Taking taylor expansion of 0 in x.im 0.992 * [taylor]: Taking taylor expansion of 0 in x.im 0.994 * [taylor]: Taking taylor expansion of 0 in x.im 0.997 * [taylor]: Taking taylor expansion of 0 in x.im 0.997 * * * [progress]: simplifying candidates 0.998 * [simplify]: Simplifying using # : (expm1 (* -3 (* x.re x.im))) (log1p (* -3 (* x.re x.im))) (* -3 (* x.re x.im)) (* -3 (* x.re x.im)) (+ (log -3) (+ (log x.re) (log x.im))) (+ (log -3) (log (* x.re x.im))) (log (* -3 (* x.re x.im))) (exp (* -3 (* x.re x.im))) (* (* (* -3 -3) -3) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* (* -3 -3) -3) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (cbrt (* -3 (* x.re x.im))) (cbrt (* -3 (* x.re x.im)))) (cbrt (* -3 (* x.re x.im))) (* (* (* -3 (* x.re x.im)) (* -3 (* x.re x.im))) (* -3 (* x.re x.im))) (sqrt (* -3 (* x.re x.im))) (sqrt (* -3 (* x.re x.im))) (* -3 x.re) (* (cbrt -3) (* x.re x.im)) (* (sqrt -3) (* x.re x.im)) (* -3 (* x.re x.im)) (expm1 (* (* -3 (* x.re x.im)) x.im)) (log1p (* (* -3 (* x.re x.im)) x.im)) (* (* -3 (* x.re x.im)) x.im) (* (* -3 (* x.re x.im)) x.im) (* (* -3 (* x.re x.im)) x.im) (+ (+ (log -3) (+ (log x.re) (log x.im))) (log x.im)) (+ (+ (log -3) (log (* x.re x.im))) (log x.im)) (+ (log (* -3 (* x.re x.im))) (log x.im)) (log (* (* -3 (* x.re x.im)) x.im)) (exp (* (* -3 (* x.re x.im)) x.im)) (* (* (* (* -3 -3) -3) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* x.im x.im) x.im)) (* (* (* (* -3 -3) -3) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (* x.im x.im) x.im)) (* (* (* (* -3 (* x.re x.im)) (* -3 (* x.re x.im))) (* -3 (* x.re x.im))) (* (* x.im x.im) x.im)) (* (cbrt (* (* -3 (* x.re x.im)) x.im)) (cbrt (* (* -3 (* x.re x.im)) x.im))) (cbrt (* (* -3 (* x.re x.im)) x.im)) (* (* (* (* -3 (* x.re x.im)) x.im) (* (* -3 (* x.re x.im)) x.im)) (* (* -3 (* x.re x.im)) x.im)) (sqrt (* (* -3 (* x.re x.im)) x.im)) (sqrt (* (* -3 (* x.re x.im)) x.im)) (* (* -3 (* x.re x.im)) (* (cbrt x.im) (cbrt x.im))) (* (* -3 (* x.re x.im)) (sqrt x.im)) (* (* -3 (* x.re x.im)) 1) (* (* x.re x.im) x.im) (* -3 (* x.im x.re)) (* -3 (* x.im x.re)) (* -3 (* x.im x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) 1.002 * * [simplify]: iteration 0 : 174 enodes (cost 191 ) 1.006 * * [simplify]: iteration 1 : 898 enodes (cost 159 ) 1.030 * * [simplify]: iteration 2 : 5001 enodes (cost 159 ) 1.034 * [simplify]: Simplified to: (expm1 (* -3 (* x.re x.im))) (log1p (* -3 (* x.re x.im))) (* -3 (* x.re x.im)) (* -3 (* x.re x.im)) (log (* -3 (* x.re x.im))) (log (* -3 (* x.re x.im))) (log (* -3 (* x.re x.im))) (exp (* -3 (* x.re x.im))) (pow (* -3 (* x.re x.im)) 3) (pow (* -3 (* x.re x.im)) 3) (* (cbrt (* -3 (* x.re x.im))) (cbrt (* -3 (* x.re x.im)))) (cbrt (* -3 (* x.re x.im))) (pow (* -3 (* x.re x.im)) 3) (sqrt (* -3 (* x.re x.im))) (sqrt (* -3 (* x.re x.im))) (* -3 x.re) (* (cbrt -3) (* x.re x.im)) (* (sqrt -3) (* x.re x.im)) (* -3 (* x.re x.im)) (expm1 (* (* -3 (* x.re x.im)) x.im)) (log1p (* (* -3 (* x.re x.im)) x.im)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (log (* (* -3 (* x.re x.im)) x.im)) (log (* (* -3 (* x.re x.im)) x.im)) (log (* (* -3 (* x.re x.im)) x.im)) (log (* (* -3 (* x.re x.im)) x.im)) (exp (* (* -3 (* x.re x.im)) x.im)) (pow (* -3 (* (pow x.im 2) x.re)) 3) (pow (* -3 (* (pow x.im 2) x.re)) 3) (pow (* -3 (* (pow x.im 2) x.re)) 3) (* (cbrt (* (* -3 (* x.re x.im)) x.im)) (cbrt (* (* -3 (* x.re x.im)) x.im))) (cbrt (* (* -3 (* x.re x.im)) x.im)) (pow (* -3 (* (pow x.im 2) x.re)) 3) (sqrt (* (* -3 (* x.re x.im)) x.im)) (sqrt (* (* -3 (* x.re x.im)) x.im)) (* (* -3 (* x.re x.im)) (* (cbrt x.im) (cbrt x.im))) (* (* -3 (* x.re x.im)) (sqrt x.im)) (* -3 (* x.re x.im)) (* (* x.re x.im) x.im) (* -3 (* x.re x.im)) (* -3 (* x.re x.im)) (* -3 (* x.re x.im)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) (* -3 (* (pow x.im 2) x.re)) 1.034 * * * [progress]: adding candidates to table 1.103 * [progress]: [Phase 3 of 3] Extracting. 1.103 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.104 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 1.104 * * * * [regimes]: Trying to branch on x.im from (# # # # # # #) 1.128 * * * * [regimes]: Trying to branch on x.re from (# # # # # # #) 1.150 * * * [regime]: Found split indices: #