6.100 * [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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) 0.027 * * [simplify]: iteration 0 : 11 enodes (cost 19 ) 0.034 * * [simplify]: iteration 1 : 23 enodes (cost 17 ) 0.037 * * [simplify]: iteration 2 : 54 enodes (cost 16 ) 0.044 * * [simplify]: iteration 3 : 118 enodes (cost 16 ) 0.065 * * [simplify]: iteration 4 : 282 enodes (cost 11 ) 0.121 * * [simplify]: iteration 5 : 646 enodes (cost 11 ) 0.470 * * [simplify]: iteration 6 : 1642 enodes (cost 11 ) 0.936 * * [simplify]: iteration 7 : 4495 enodes (cost 11 ) 2.080 * * [simplify]: iteration done : 5000 enodes (cost 11 ) 2.080 * [simplify]: Simplified to: (- (* 3 (* (* x.re x.im) x.re)) (pow x.im 3)) 2.083 * * [progress]: iteration 1 / 4 2.083 * * * [progress]: picking best candidate 2.087 * * * * [pick]: Picked # 2.087 * * * [progress]: localizing error 2.094 * * * [progress]: generating rewritten candidates 2.094 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 2.111 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 2.119 * * * [progress]: generating series expansions 2.119 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 2.119 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.re x.im) around 0 2.119 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 2.119 * [taylor]: Taking taylor expansion of 3 in x.im 2.119 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 2.119 * [taylor]: Taking taylor expansion of x.im in x.im 2.119 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 2.119 * [taylor]: Taking taylor expansion of x.re in x.im 2.119 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 2.119 * [taylor]: Taking taylor expansion of 3 in x.re 2.119 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 2.119 * [taylor]: Taking taylor expansion of x.im in x.re 2.120 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 2.120 * [taylor]: Taking taylor expansion of x.re in x.re 2.120 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 2.120 * [taylor]: Taking taylor expansion of 3 in x.re 2.120 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 2.120 * [taylor]: Taking taylor expansion of x.im in x.re 2.120 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 2.120 * [taylor]: Taking taylor expansion of x.re in x.re 2.120 * [taylor]: Taking taylor expansion of (* 3 x.im) in x.im 2.120 * [taylor]: Taking taylor expansion of 3 in x.im 2.120 * [taylor]: Taking taylor expansion of x.im in x.im 2.122 * [taylor]: Taking taylor expansion of 0 in x.im 2.126 * [taylor]: Taking taylor expansion of 0 in x.im 2.129 * [taylor]: Taking taylor expansion of 0 in x.im 2.129 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.re x.im) around 0 2.129 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 2.129 * [taylor]: Taking taylor expansion of 3 in x.im 2.129 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 2.129 * [taylor]: Taking taylor expansion of x.im in x.im 2.129 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 2.129 * [taylor]: Taking taylor expansion of x.re in x.im 2.130 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 2.130 * [taylor]: Taking taylor expansion of 3 in x.re 2.130 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 2.130 * [taylor]: Taking taylor expansion of x.im in x.re 2.130 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 2.130 * [taylor]: Taking taylor expansion of x.re in x.re 2.130 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 2.130 * [taylor]: Taking taylor expansion of 3 in x.re 2.130 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 2.130 * [taylor]: Taking taylor expansion of x.im in x.re 2.130 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 2.130 * [taylor]: Taking taylor expansion of x.re in x.re 2.131 * [taylor]: Taking taylor expansion of (/ 3 x.im) in x.im 2.131 * [taylor]: Taking taylor expansion of 3 in x.im 2.131 * [taylor]: Taking taylor expansion of x.im in x.im 2.132 * [taylor]: Taking taylor expansion of 0 in x.im 2.133 * [taylor]: Taking taylor expansion of 0 in x.im 2.135 * [taylor]: Taking taylor expansion of 0 in x.im 2.136 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.re x.im) around 0 2.136 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 2.136 * [taylor]: Taking taylor expansion of -3 in x.im 2.136 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 2.136 * [taylor]: Taking taylor expansion of x.im in x.im 2.136 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 2.136 * [taylor]: Taking taylor expansion of x.re in x.im 2.137 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 2.137 * [taylor]: Taking taylor expansion of -3 in x.re 2.137 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 2.137 * [taylor]: Taking taylor expansion of x.im in x.re 2.137 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 2.137 * [taylor]: Taking taylor expansion of x.re in x.re 2.137 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 2.137 * [taylor]: Taking taylor expansion of -3 in x.re 2.138 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 2.138 * [taylor]: Taking taylor expansion of x.im in x.re 2.138 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 2.138 * [taylor]: Taking taylor expansion of x.re in x.re 2.138 * [taylor]: Taking taylor expansion of (/ -3 x.im) in x.im 2.138 * [taylor]: Taking taylor expansion of -3 in x.im 2.138 * [taylor]: Taking taylor expansion of x.im in x.im 2.139 * [taylor]: Taking taylor expansion of 0 in x.im 2.141 * [taylor]: Taking taylor expansion of 0 in x.im 2.142 * [taylor]: Taking taylor expansion of 0 in x.im 2.143 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 2.143 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.re x.im) around 0 2.143 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 2.143 * [taylor]: Taking taylor expansion of x.im in x.im 2.143 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 2.143 * [taylor]: Taking taylor expansion of x.re in x.im 2.143 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 2.143 * [taylor]: Taking taylor expansion of x.im in x.re 2.143 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 2.143 * [taylor]: Taking taylor expansion of x.re in x.re 2.143 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 2.143 * [taylor]: Taking taylor expansion of x.im in x.re 2.143 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 2.143 * [taylor]: Taking taylor expansion of x.re in x.re 2.144 * [taylor]: Taking taylor expansion of x.im in x.im 2.144 * [taylor]: Taking taylor expansion of 0 in x.im 2.145 * [taylor]: Taking taylor expansion of 0 in x.im 2.146 * [taylor]: Taking taylor expansion of 0 in x.im 2.147 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.re x.im) around 0 2.147 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 2.147 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 2.147 * [taylor]: Taking taylor expansion of x.im in x.im 2.147 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 2.147 * [taylor]: Taking taylor expansion of x.re in x.im 2.147 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 2.147 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 2.147 * [taylor]: Taking taylor expansion of x.im in x.re 2.147 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 2.147 * [taylor]: Taking taylor expansion of x.re in x.re 2.148 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 2.148 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 2.148 * [taylor]: Taking taylor expansion of x.im in x.re 2.148 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 2.148 * [taylor]: Taking taylor expansion of x.re in x.re 2.148 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.148 * [taylor]: Taking taylor expansion of x.im in x.im 2.149 * [taylor]: Taking taylor expansion of 0 in x.im 2.151 * [taylor]: Taking taylor expansion of 0 in x.im 2.152 * [taylor]: Taking taylor expansion of 0 in x.im 2.153 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.re x.im) around 0 2.153 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 2.153 * [taylor]: Taking taylor expansion of -1 in x.im 2.153 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 2.153 * [taylor]: Taking taylor expansion of x.im in x.im 2.153 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 2.153 * [taylor]: Taking taylor expansion of x.re in x.im 2.154 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 2.154 * [taylor]: Taking taylor expansion of -1 in x.re 2.154 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 2.154 * [taylor]: Taking taylor expansion of x.im in x.re 2.154 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 2.154 * [taylor]: Taking taylor expansion of x.re in x.re 2.154 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 2.154 * [taylor]: Taking taylor expansion of -1 in x.re 2.154 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 2.154 * [taylor]: Taking taylor expansion of x.im in x.re 2.154 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 2.154 * [taylor]: Taking taylor expansion of x.re in x.re 2.155 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.im 2.155 * [taylor]: Taking taylor expansion of -1 in x.im 2.155 * [taylor]: Taking taylor expansion of x.im in x.im 2.156 * [taylor]: Taking taylor expansion of 0 in x.im 2.157 * [taylor]: Taking taylor expansion of 0 in x.im 2.159 * [taylor]: Taking taylor expansion of 0 in x.im 2.160 * * * [progress]: simplifying candidates 2.161 * [simplify]: Simplifying using # : (expm1 (* 3 (* (* x.re x.im) x.re))) (log1p (* 3 (* (* x.re x.im) x.re))) (* 3 (* (* x.re x.im) x.re)) (* 3 (* (* x.re x.im) x.re)) (* 3 (* (* x.re x.im) x.re)) (+ (log 3) (+ (+ (log x.re) (log x.im)) (log x.re))) (+ (log 3) (+ (log (* x.re x.im)) (log x.re))) (+ (log 3) (log (* (* x.re x.im) x.re))) (log (* 3 (* (* x.re x.im) x.re))) (exp (* 3 (* (* x.re x.im) x.re))) (* (* (* 3 3) 3) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re))) (* (* (* 3 3) 3) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* x.re x.re) x.re))) (* (* (* 3 3) 3) (* (* (* (* x.re x.im) x.re) (* (* x.re x.im) x.re)) (* (* x.re x.im) x.re))) (* (cbrt (* 3 (* (* x.re x.im) x.re))) (cbrt (* 3 (* (* x.re x.im) x.re)))) (cbrt (* 3 (* (* x.re x.im) x.re))) (* (* (* 3 (* (* x.re x.im) x.re)) (* 3 (* (* x.re x.im) x.re))) (* 3 (* (* x.re x.im) x.re))) (sqrt (* 3 (* (* x.re x.im) x.re))) (sqrt (* 3 (* (* x.re x.im) x.re))) (* 3 (* x.re x.im)) (* (cbrt 3) (* (* x.re x.im) x.re)) (* (sqrt 3) (* (* x.re x.im) x.re)) (* 3 (* (* x.re x.im) x.re)) (expm1 (* (* x.re x.im) x.re)) (log1p (* (* x.re x.im) x.re)) (* (* x.re x.im) x.re) (* (* x.re x.im) x.re) (+ (+ (log x.re) (log x.im)) (log x.re)) (+ (log (* x.re x.im)) (log x.re)) (log (* (* x.re x.im) x.re)) (exp (* (* x.re x.im) x.re)) (* (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re)) (* (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)) (* (* x.re x.re) x.re)) (* (cbrt (* (* x.re x.im) x.re)) (cbrt (* (* x.re x.im) x.re))) (cbrt (* (* x.re x.im) x.re)) (* (* (* (* x.re x.im) x.re) (* (* x.re x.im) x.re)) (* (* x.re x.im) x.re)) (sqrt (* (* x.re x.im) x.re)) (sqrt (* (* x.re x.im) x.re)) (* (* x.re x.im) (* (cbrt x.re) (cbrt x.re))) (* (* x.re x.im) (sqrt x.re)) (* (* x.re x.im) 1) (* x.im x.re) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) 2.163 * * [simplify]: iteration 0 : 65 enodes (cost 434 ) 2.176 * * [simplify]: iteration 1 : 173 enodes (cost 409 ) 2.222 * * [simplify]: iteration 2 : 698 enodes (cost 337 )