2.725 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.039 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.041 * * [simplify]: iteration 0 : 21 enodes (cost 9 ) 0.042 * * [simplify]: iteration 1 : 55 enodes (cost 9 ) 0.044 * * [simplify]: iteration 2 : 150 enodes (cost 9 ) 0.047 * * [simplify]: iteration 3 : 401 enodes (cost 6 ) 0.056 * * [simplify]: iteration 4 : 1088 enodes (cost 5 ) 0.075 * * [simplify]: iteration 5 : 2704 enodes (cost 5 ) 0.124 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.124 * [simplify]: Simplified to: (- (pow x.re 3) (* 3 (* x.im (* x.re x.im)))) 0.128 * * [progress]: iteration 1 / 4 0.128 * * * [progress]: picking best candidate 0.133 * * * * [pick]: Picked # 0.133 * * * [progress]: localizing error 0.140 * * * [progress]: generating rewritten candidates 0.140 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.147 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.153 * * * [progress]: generating series expansions 0.153 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.153 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.153 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.153 * [taylor]: Taking taylor expansion of 3 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 0.153 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.153 * [taylor]: Taking taylor expansion of 3 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 (* 3 (* (pow x.im 2) x.re)) in x.im 0.153 * [taylor]: Taking taylor expansion of 3 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 (* 3 x.re) in x.re 0.153 * [taylor]: Taking taylor expansion of 3 in x.re 0.153 * [taylor]: Taking taylor expansion of x.re in x.re 0.153 * [taylor]: Taking taylor expansion of 0 in x.re 0.153 * [taylor]: Taking taylor expansion of 0 in x.re 0.154 * [taylor]: Taking taylor expansion of 0 in x.re 0.154 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.154 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.154 * [taylor]: Taking taylor expansion of 3 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 (/ 3 (* (pow x.im 2) x.re)) in x.im 0.154 * [taylor]: Taking taylor expansion of 3 in x.im 0.154 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) 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 0.154 * [taylor]: Taking taylor expansion of x.re in x.im 0.154 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.154 * [taylor]: Taking taylor expansion of 3 in x.im 0.154 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) 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 0.154 * [taylor]: Taking taylor expansion of x.re in x.im 0.155 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.155 * [taylor]: Taking taylor expansion of 3 in x.re 0.155 * [taylor]: Taking taylor expansion of x.re in x.re 0.155 * [taylor]: Taking taylor expansion of 0 in x.re 0.155 * [taylor]: Taking taylor expansion of 0 in x.re 0.155 * [taylor]: Taking taylor expansion of 0 in x.re 0.155 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.155 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.155 * [taylor]: Taking taylor expansion of -3 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 0.156 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.156 * [taylor]: Taking taylor expansion of -3 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 (/ -3 (* (pow x.im 2) x.re)) in x.im 0.156 * [taylor]: Taking taylor expansion of -3 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 (/ -3 x.re) in x.re 0.156 * [taylor]: Taking taylor expansion of -3 in x.re 0.156 * [taylor]: Taking taylor expansion of x.re in x.re 0.156 * [taylor]: Taking taylor expansion of 0 in x.re 0.156 * [taylor]: Taking taylor expansion of 0 in x.re 0.157 * [taylor]: Taking taylor expansion of 0 in x.re 0.157 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.157 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.im x.re) around 0 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 0.157 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.157 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.157 * [taylor]: Taking taylor expansion of x.im in x.im 0.157 * [taylor]: Taking taylor expansion of x.re in x.im 0.157 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.157 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.157 * [taylor]: Taking taylor expansion of x.im in x.im 0.157 * [taylor]: Taking taylor expansion of x.re in x.im 0.157 * [taylor]: Taking taylor expansion of x.re in x.re 0.157 * [taylor]: Taking taylor expansion of 0 in x.re 0.157 * [taylor]: Taking taylor expansion of 0 in x.re 0.158 * [taylor]: Taking taylor expansion of 0 in x.re 0.158 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.158 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.158 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.158 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.158 * [taylor]: Taking taylor expansion of x.im in x.re 0.158 * [taylor]: Taking taylor expansion of x.re in x.re 0.158 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.158 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) 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 0.158 * [taylor]: Taking taylor expansion of x.re in x.im 0.158 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.158 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) 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 0.158 * [taylor]: Taking taylor expansion of x.re in x.im 0.158 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.158 * [taylor]: Taking taylor expansion of x.re in x.re 0.158 * [taylor]: Taking taylor expansion of 0 in x.re 0.159 * [taylor]: Taking taylor expansion of 0 in x.re 0.159 * [taylor]: Taking taylor expansion of 0 in x.re 0.159 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.159 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.159 * [taylor]: Taking taylor expansion of -1 in x.re 0.159 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.159 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.159 * [taylor]: Taking taylor expansion of x.im in x.re 0.159 * [taylor]: Taking taylor expansion of x.re in x.re 0.160 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.160 * [taylor]: Taking taylor expansion of -1 in x.im 0.160 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.160 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.160 * [taylor]: Taking taylor expansion of x.im in x.im 0.160 * [taylor]: Taking taylor expansion of x.re in x.im 0.160 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.160 * [taylor]: Taking taylor expansion of -1 in x.im 0.160 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.160 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.160 * [taylor]: Taking taylor expansion of x.im in x.im 0.160 * [taylor]: Taking taylor expansion of x.re in x.im 0.160 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.160 * [taylor]: Taking taylor expansion of -1 in x.re 0.160 * [taylor]: Taking taylor expansion of x.re in x.re 0.160 * [taylor]: Taking taylor expansion of 0 in x.re 0.160 * [taylor]: Taking taylor expansion of 0 in x.re 0.160 * [taylor]: Taking taylor expansion of 0 in x.re 0.161 * * * [progress]: simplifying candidates 0.161 * [simplify]: Simplifying using # : (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (+ (log 3) (+ (log x.im) (+ (log x.re) (log x.im)))) (+ (log 3) (+ (log x.im) (log (* x.re x.im)))) (+ (log 3) (log (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (exp (* 3 (* x.im (* x.re x.im)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)))) (* (* (* 3 3) 3) (* (* (* x.im (* x.re x.im)) (* x.im (* x.re x.im))) (* x.im (* x.re x.im)))) (* (cbrt (* 3 (* x.im (* x.re x.im)))) (cbrt (* 3 (* x.im (* x.re x.im))))) (cbrt (* 3 (* x.im (* x.re x.im)))) (* (* (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im)))) (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.im))) (* (sqrt 3) (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) (+ (log x.im) (+ (log x.re) (log x.im))) (+ (log x.im) (log (* x.re x.im))) (log (* x.im (* x.re x.im))) (exp (* x.im (* x.re x.im))) (* (* (* x.im 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))) (* (cbrt (* x.im (* x.re x.im))) (cbrt (* x.im (* x.re x.im)))) (cbrt (* x.im (* x.re x.im))) (* (* (* x.im (* x.re x.im)) (* x.im (* x.re x.im))) (* x.im (* x.re x.im))) (sqrt (* x.im (* x.re x.im))) (sqrt (* x.im (* x.re x.im))) (* x.im x.re) (* (cbrt x.im) (* x.re x.im)) (* (sqrt x.im) (* x.re x.im)) (* x.im (* 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)) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) 0.164 * * [simplify]: iteration 0 : 151 enodes (cost 179 ) 0.167 * * [simplify]: iteration 1 : 581 enodes (cost 143 ) 0.181 * * [simplify]: iteration 2 : 3219 enodes (cost 143 ) 0.247 * * [simplify]: iteration 3 : 5001 enodes (cost 142 ) 0.249 * [simplify]: Simplified to: (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (log (* 3 (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (exp (* 3 (* x.im (* x.re x.im)))) (pow (* 3 (* x.im (* x.re x.im))) 3) (pow (* 3 (* x.im (* x.re x.im))) 3) (pow (* 3 (* x.im (* x.re x.im))) 3) (* (cbrt (* 3 (* x.im (* x.re x.im)))) (cbrt (* 3 (* x.im (* x.re x.im))))) (cbrt (* 3 (* x.im (* x.re x.im)))) (pow (* 3 (* x.im (* x.re x.im))) 3) (sqrt (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.im))) (* (sqrt 3) (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) (log (* x.im (* x.re x.im))) (log (* x.im (* x.re x.im))) (log (* x.im (* x.re x.im))) (exp (* x.im (* x.re x.im))) (pow (* x.im (* x.re x.im)) 3) (pow (* x.im (* x.re x.im)) 3) (* (cbrt (* x.im (* x.re x.im))) (cbrt (* x.im (* x.re x.im)))) (cbrt (* x.im (* x.re x.im))) (pow (* x.im (* x.re x.im)) 3) (sqrt (* x.im (* x.re x.im))) (sqrt (* x.im (* x.re x.im))) (* x.re x.im) (* (cbrt x.im) (* x.re x.im)) (* (pow x.im 3/2) x.re) (* x.im (* x.re x.im)) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) 0.249 * * * [progress]: adding candidates to table 0.291 * * [progress]: iteration 2 / 4 0.291 * * * [progress]: picking best candidate 0.307 * * * * [pick]: Picked # 0.307 * * * [progress]: localizing error 0.314 * * * [progress]: generating rewritten candidates 0.314 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.321 * * * [progress]: generating series expansions 0.321 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.321 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.321 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.321 * [taylor]: Taking taylor expansion of 3 in x.re 0.321 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.321 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.321 * [taylor]: Taking taylor expansion of x.im in x.re 0.321 * [taylor]: Taking taylor expansion of x.re in x.re 0.321 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.321 * [taylor]: Taking taylor expansion of 3 in x.im 0.321 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.321 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.321 * [taylor]: Taking taylor expansion of x.im in x.im 0.321 * [taylor]: Taking taylor expansion of x.re in x.im 0.321 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.321 * [taylor]: Taking taylor expansion of 3 in x.im 0.321 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.322 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.322 * [taylor]: Taking taylor expansion of x.im in x.im 0.322 * [taylor]: Taking taylor expansion of x.re in x.im 0.322 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.322 * [taylor]: Taking taylor expansion of 3 in x.re 0.322 * [taylor]: Taking taylor expansion of x.re in x.re 0.322 * [taylor]: Taking taylor expansion of 0 in x.re 0.322 * [taylor]: Taking taylor expansion of 0 in x.re 0.322 * [taylor]: Taking taylor expansion of 0 in x.re 0.322 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.322 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.322 * [taylor]: Taking taylor expansion of 3 in x.re 0.322 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.322 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.322 * [taylor]: Taking taylor expansion of x.im in x.re 0.322 * [taylor]: Taking taylor expansion of x.re in x.re 0.323 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.323 * [taylor]: Taking taylor expansion of 3 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 (/ 3 (* (pow x.im 2) x.re)) in x.im 0.323 * [taylor]: Taking taylor expansion of 3 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 (/ 3 x.re) in x.re 0.323 * [taylor]: Taking taylor expansion of 3 in x.re 0.323 * [taylor]: Taking taylor expansion of x.re in x.re 0.323 * [taylor]: Taking taylor expansion of 0 in x.re 0.323 * [taylor]: Taking taylor expansion of 0 in x.re 0.324 * [taylor]: Taking taylor expansion of 0 in x.re 0.324 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.324 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.324 * [taylor]: Taking taylor expansion of -3 in x.re 0.324 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.324 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.324 * [taylor]: Taking taylor expansion of x.im in x.re 0.324 * [taylor]: Taking taylor expansion of x.re in x.re 0.324 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.324 * [taylor]: Taking taylor expansion of -3 in x.im 0.324 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.324 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.324 * [taylor]: Taking taylor expansion of x.im in x.im 0.324 * [taylor]: Taking taylor expansion of x.re in x.im 0.324 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.324 * [taylor]: Taking taylor expansion of -3 in x.im 0.324 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.324 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.324 * [taylor]: Taking taylor expansion of x.im in x.im 0.324 * [taylor]: Taking taylor expansion of x.re in x.im 0.325 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.325 * [taylor]: Taking taylor expansion of -3 in x.re 0.325 * [taylor]: Taking taylor expansion of x.re in x.re 0.325 * [taylor]: Taking taylor expansion of 0 in x.re 0.325 * [taylor]: Taking taylor expansion of 0 in x.re 0.325 * [taylor]: Taking taylor expansion of 0 in x.re 0.325 * * * [progress]: simplifying candidates 0.326 * [simplify]: Simplifying using # : (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (+ (+ (log 3) (log x.im)) (+ (log x.re) (log x.im))) (+ (+ (log 3) (log x.im)) (log (* x.re x.im))) (+ (log (* 3 x.im)) (+ (log x.re) (log x.im))) (+ (log (* 3 x.im)) (log (* x.re x.im))) (log (* (* 3 x.im) (* x.re x.im))) (exp (* (* 3 x.im) (* x.re x.im))) (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (cbrt (* (* 3 x.im) (* x.re x.im))) (cbrt (* (* 3 x.im) (* x.re x.im)))) (cbrt (* (* 3 x.im) (* x.re x.im))) (* (* (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im))) (* (* 3 x.im) (* x.re x.im))) (sqrt (* (* 3 x.im) (* x.re x.im))) (sqrt (* (* 3 x.im) (* x.re x.im))) (* (* 3 x.im) x.re) (* x.im (* 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)) 0.329 * * [simplify]: iteration 0 : 135 enodes (cost 118 ) 0.332 * * [simplify]: iteration 1 : 621 enodes (cost 90 ) 0.348 * * [simplify]: iteration 2 : 3862 enodes (cost 90 ) 0.436 * * [simplify]: iteration 3 : 5001 enodes (cost 90 ) 0.437 * [simplify]: Simplified to: (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (log (* (* 3 x.im) (* x.re x.im))) (log (* (* 3 x.im) (* x.re x.im))) (log (* (* 3 x.im) (* x.re x.im))) (log (* (* 3 x.im) (* x.re x.im))) (log (* (* 3 x.im) (* x.re x.im))) (exp (* (* 3 x.im) (* x.re x.im))) (pow (* (* 3 x.im) (* x.re x.im)) 3) (pow (* (* 3 x.im) (* x.re x.im)) 3) (pow (* (* 3 x.im) (* x.re x.im)) 3) (pow (* (* 3 x.im) (* x.re x.im)) 3) (* (cbrt (* (* 3 x.im) (* x.re x.im))) (cbrt (* (* 3 x.im) (* x.re x.im)))) (cbrt (* (* 3 x.im) (* x.re x.im))) (pow (* (* 3 x.im) (* x.re x.im)) 3) (sqrt (* (* 3 x.im) (* x.re x.im))) (sqrt (* (* 3 x.im) (* x.re x.im))) (* (* 3 x.im) x.re) (* x.im (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) 0.437 * * * [progress]: adding candidates to table 0.458 * * [progress]: iteration 3 / 4 0.458 * * * [progress]: picking best candidate 0.473 * * * * [pick]: Picked # 0.473 * * * [progress]: localizing error 0.480 * * * [progress]: generating rewritten candidates 0.480 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.485 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.492 * * * [progress]: generating series expansions 0.492 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.493 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.493 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.493 * [taylor]: Taking taylor expansion of 3 in x.re 0.493 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.493 * [taylor]: Taking taylor expansion of x.im in x.re 0.493 * [taylor]: Taking taylor expansion of x.re in x.re 0.493 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.493 * [taylor]: Taking taylor expansion of 3 in x.im 0.493 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.493 * [taylor]: Taking taylor expansion of x.im in x.im 0.493 * [taylor]: Taking taylor expansion of x.re in x.im 0.493 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.493 * [taylor]: Taking taylor expansion of 3 in x.im 0.493 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.493 * [taylor]: Taking taylor expansion of x.im in x.im 0.493 * [taylor]: Taking taylor expansion of x.re in x.im 0.493 * [taylor]: Taking taylor expansion of 0 in x.re 0.493 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.493 * [taylor]: Taking taylor expansion of 3 in x.re 0.493 * [taylor]: Taking taylor expansion of x.re in x.re 0.493 * [taylor]: Taking taylor expansion of 0 in x.re 0.493 * [taylor]: Taking taylor expansion of 0 in x.re 0.494 * [taylor]: Taking taylor expansion of 0 in x.re 0.494 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.494 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.494 * [taylor]: Taking taylor expansion of 3 in x.re 0.494 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.494 * [taylor]: Taking taylor expansion of x.im in x.re 0.494 * [taylor]: Taking taylor expansion of x.re in x.re 0.494 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.494 * [taylor]: Taking taylor expansion of 3 in x.im 0.494 * [taylor]: Taking taylor expansion of (* x.im x.re) 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 (/ 3 (* x.im x.re)) in x.im 0.494 * [taylor]: Taking taylor expansion of 3 in x.im 0.494 * [taylor]: Taking taylor expansion of (* x.im x.re) 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 (/ 3 x.re) in x.re 0.494 * [taylor]: Taking taylor expansion of 3 in x.re 0.494 * [taylor]: Taking taylor expansion of x.re in x.re 0.494 * [taylor]: Taking taylor expansion of 0 in x.re 0.494 * [taylor]: Taking taylor expansion of 0 in x.re 0.495 * [taylor]: Taking taylor expansion of 0 in x.re 0.495 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.495 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.495 * [taylor]: Taking taylor expansion of 3 in x.re 0.495 * [taylor]: Taking taylor expansion of (* x.im x.re) 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 (/ 3 (* x.im x.re)) in x.im 0.495 * [taylor]: Taking taylor expansion of 3 in x.im 0.495 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.495 * [taylor]: Taking taylor expansion of x.im in x.im 0.495 * [taylor]: Taking taylor expansion of x.re in x.im 0.495 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.495 * [taylor]: Taking taylor expansion of 3 in x.im 0.495 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.495 * [taylor]: Taking taylor expansion of x.im in x.im 0.495 * [taylor]: Taking taylor expansion of x.re in x.im 0.495 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.495 * [taylor]: Taking taylor expansion of 3 in x.re 0.495 * [taylor]: Taking taylor expansion of x.re in x.re 0.496 * [taylor]: Taking taylor expansion of 0 in x.re 0.496 * [taylor]: Taking taylor expansion of 0 in x.re 0.496 * [taylor]: Taking taylor expansion of 0 in x.re 0.496 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.496 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.496 * [taylor]: Taking taylor expansion of (* 3 (* (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 (* (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 (* 3 (* (pow x.im 2) x.re)) in x.im 0.496 * [taylor]: Taking taylor expansion of 3 in x.im 0.496 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.496 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.496 * [taylor]: Taking taylor expansion of x.im in x.im 0.496 * [taylor]: Taking taylor expansion of x.re in x.im 0.496 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.496 * [taylor]: Taking taylor expansion of 3 in x.im 0.496 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.496 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.496 * [taylor]: Taking taylor expansion of x.im in x.im 0.496 * [taylor]: Taking taylor expansion of x.re in x.im 0.497 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.497 * [taylor]: Taking taylor expansion of 3 in x.re 0.497 * [taylor]: Taking taylor expansion of x.re in x.re 0.497 * [taylor]: Taking taylor expansion of 0 in x.re 0.497 * [taylor]: Taking taylor expansion of 0 in x.re 0.497 * [taylor]: Taking taylor expansion of 0 in x.re 0.497 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.497 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.497 * [taylor]: Taking taylor expansion of 3 in x.re 0.497 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.497 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.497 * [taylor]: Taking taylor expansion of x.im in x.re 0.497 * [taylor]: Taking taylor expansion of x.re in x.re 0.498 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.498 * [taylor]: Taking taylor expansion of 3 in x.im 0.498 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.498 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.498 * [taylor]: Taking taylor expansion of x.im in x.im 0.498 * [taylor]: Taking taylor expansion of x.re in x.im 0.498 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.498 * [taylor]: Taking taylor expansion of 3 in x.im 0.498 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.498 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.498 * [taylor]: Taking taylor expansion of x.im in x.im 0.498 * [taylor]: Taking taylor expansion of x.re in x.im 0.498 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.498 * [taylor]: Taking taylor expansion of 3 in x.re 0.498 * [taylor]: Taking taylor expansion of x.re in x.re 0.498 * [taylor]: Taking taylor expansion of 0 in x.re 0.498 * [taylor]: Taking taylor expansion of 0 in x.re 0.498 * [taylor]: Taking taylor expansion of 0 in x.re 0.499 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.499 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.499 * [taylor]: Taking taylor expansion of -3 in x.re 0.499 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.499 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.499 * [taylor]: Taking taylor expansion of x.im in x.re 0.499 * [taylor]: Taking taylor expansion of x.re in x.re 0.499 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.499 * [taylor]: Taking taylor expansion of -3 in x.im 0.499 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.499 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.499 * [taylor]: Taking taylor expansion of x.im in x.im 0.499 * [taylor]: Taking taylor expansion of x.re in x.im 0.499 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.499 * [taylor]: Taking taylor expansion of -3 in x.im 0.499 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.499 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.499 * [taylor]: Taking taylor expansion of x.im in x.im 0.499 * [taylor]: Taking taylor expansion of x.re in x.im 0.499 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.499 * [taylor]: Taking taylor expansion of -3 in x.re 0.499 * [taylor]: Taking taylor expansion of x.re in x.re 0.500 * [taylor]: Taking taylor expansion of 0 in x.re 0.500 * [taylor]: Taking taylor expansion of 0 in x.re 0.500 * [taylor]: Taking taylor expansion of 0 in x.re 0.500 * * * [progress]: simplifying candidates 0.501 * [simplify]: Simplifying using # : (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (+ (+ (log 3) (log x.im)) (log x.re)) (+ (log (* 3 x.im)) (log x.re)) (log (* (* 3 x.im) x.re)) (exp (* (* 3 x.im) x.re)) (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re)) (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* x.re x.re) x.re)) (* (cbrt (* (* 3 x.im) x.re)) (cbrt (* (* 3 x.im) x.re))) (cbrt (* (* 3 x.im) x.re)) (* (* (* (* 3 x.im) x.re) (* (* 3 x.im) x.re)) (* (* 3 x.im) x.re)) (sqrt (* (* 3 x.im) x.re)) (sqrt (* (* 3 x.im) x.re)) (* (* 3 x.im) (* (cbrt x.re) (cbrt x.re))) (* (* 3 x.im) (sqrt x.re)) (* (* 3 x.im) 1) (* x.im x.re) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (+ (+ (+ (log 3) (log x.im)) (log x.re)) (log x.im)) (+ (+ (log (* 3 x.im)) (log x.re)) (log x.im)) (+ (log (* (* 3 x.im) x.re)) (log x.im)) (log (* (* (* 3 x.im) x.re) x.im)) (exp (* (* (* 3 x.im) x.re) x.im)) (* (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re)) (* (* x.im x.im) x.im)) (* (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* x.re x.re) x.re)) (* (* x.im x.im) x.im)) (* (* (* (* (* 3 x.im) x.re) (* (* 3 x.im) x.re)) (* (* 3 x.im) x.re)) (* (* x.im x.im) x.im)) (* (cbrt (* (* (* 3 x.im) x.re) x.im)) (cbrt (* (* (* 3 x.im) x.re) x.im))) (cbrt (* (* (* 3 x.im) x.re) x.im)) (* (* (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im)) (* (* (* 3 x.im) x.re) x.im)) (sqrt (* (* (* 3 x.im) x.re) x.im)) (sqrt (* (* (* 3 x.im) x.re) x.im)) (* (* (* 3 x.im) x.re) (* (cbrt x.im) (cbrt x.im))) (* (* (* 3 x.im) x.re) (sqrt x.im)) (* (* (* 3 x.im) x.re) 1) (* x.re x.im) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) 0.504 * * [simplify]: iteration 0 : 172 enodes (cost 179 ) 0.509 * * [simplify]: iteration 1 : 998 enodes (cost 145 ) 0.536 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.537 * [simplify]: Simplified to: (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (log (* (* 3 x.im) x.re)) (log (* (* 3 x.im) x.re)) (log (* (* 3 x.im) x.re)) (exp (* (* 3 x.im) x.re)) (pow (* (* 3 x.im) x.re) 3) (pow (* (* 3 x.im) x.re) 3) (* (cbrt (* (* 3 x.im) x.re)) (cbrt (* (* 3 x.im) x.re))) (cbrt (* (* 3 x.im) x.re)) (pow (* (* 3 x.im) x.re) 3) (sqrt (* (* 3 x.im) x.re)) (sqrt (* (* 3 x.im) x.re)) (* (* 3 x.im) (* (cbrt x.re) (cbrt x.re))) (* (* 3 x.im) (sqrt x.re)) (* 3 x.im) (* x.im x.re) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (log (* (* (* 3 x.im) x.re) x.im)) (log (* (* (* 3 x.im) x.re) x.im)) (log (* (* (* 3 x.im) x.re) x.im)) (log (* (* (* 3 x.im) x.re) x.im)) (exp (* (* (* 3 x.im) x.re) x.im)) (pow (* (* (* 3 x.im) x.re) x.im) 3) (pow (* (* (* 3 x.im) x.re) x.im) 3) (pow (* (* (* 3 x.im) x.re) x.im) 3) (* (cbrt (* (* (* 3 x.im) x.re) x.im)) (cbrt (* (* (* 3 x.im) x.re) x.im))) (cbrt (* (* (* 3 x.im) x.re) x.im)) (pow (* (* (* 3 x.im) x.re) x.im) 3) (sqrt (* (* (* 3 x.im) x.re) x.im)) (sqrt (* (* (* 3 x.im) x.re) x.im)) (* (* (* 3 x.im) x.re) (* (cbrt x.im) (cbrt x.im))) (* (* (* 3 x.im) x.re) (sqrt x.im)) (* (* 3 x.im) x.re) (* x.im x.re) (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) 0.537 * * * [progress]: adding candidates to table 0.578 * * [progress]: iteration 4 / 4 0.578 * * * [progress]: picking best candidate 0.592 * * * * [pick]: Picked # 0.592 * * * [progress]: localizing error 0.600 * * * [progress]: generating rewritten candidates 0.600 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.605 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.612 * * * [progress]: generating series expansions 0.612 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.612 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.612 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.613 * [taylor]: Taking taylor expansion of 3 in x.re 0.613 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.613 * [taylor]: Taking taylor expansion of x.im in x.re 0.613 * [taylor]: Taking taylor expansion of x.re in x.re 0.613 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.613 * [taylor]: Taking taylor expansion of 3 in x.im 0.613 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.613 * [taylor]: Taking taylor expansion of x.im in x.im 0.613 * [taylor]: Taking taylor expansion of x.re in x.im 0.613 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.613 * [taylor]: Taking taylor expansion of 3 in x.im 0.613 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.613 * [taylor]: Taking taylor expansion of x.im in x.im 0.613 * [taylor]: Taking taylor expansion of x.re in x.im 0.613 * [taylor]: Taking taylor expansion of 0 in x.re 0.613 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.613 * [taylor]: Taking taylor expansion of 3 in x.re 0.613 * [taylor]: Taking taylor expansion of x.re in x.re 0.613 * [taylor]: Taking taylor expansion of 0 in x.re 0.613 * [taylor]: Taking taylor expansion of 0 in x.re 0.613 * [taylor]: Taking taylor expansion of 0 in x.re 0.614 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.614 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.614 * [taylor]: Taking taylor expansion of 3 in x.re 0.614 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.614 * [taylor]: Taking taylor expansion of x.im in x.re 0.614 * [taylor]: Taking taylor expansion of x.re in x.re 0.614 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.614 * [taylor]: Taking taylor expansion of 3 in x.im 0.614 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.614 * [taylor]: Taking taylor expansion of x.im in x.im 0.614 * [taylor]: Taking taylor expansion of x.re in x.im 0.614 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.614 * [taylor]: Taking taylor expansion of 3 in x.im 0.614 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.614 * [taylor]: Taking taylor expansion of x.im in x.im 0.614 * [taylor]: Taking taylor expansion of x.re in x.im 0.614 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.614 * [taylor]: Taking taylor expansion of 3 in x.re 0.614 * [taylor]: Taking taylor expansion of x.re in x.re 0.614 * [taylor]: Taking taylor expansion of 0 in x.re 0.614 * [taylor]: Taking taylor expansion of 0 in x.re 0.615 * [taylor]: Taking taylor expansion of 0 in x.re 0.615 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.615 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.615 * [taylor]: Taking taylor expansion of 3 in x.re 0.615 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.615 * [taylor]: Taking taylor expansion of x.im in x.re 0.615 * [taylor]: Taking taylor expansion of x.re in x.re 0.615 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.615 * [taylor]: Taking taylor expansion of 3 in x.im 0.615 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.615 * [taylor]: Taking taylor expansion of x.im in x.im 0.615 * [taylor]: Taking taylor expansion of x.re in x.im 0.615 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.615 * [taylor]: Taking taylor expansion of 3 in x.im 0.615 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.615 * [taylor]: Taking taylor expansion of x.im in x.im 0.615 * [taylor]: Taking taylor expansion of x.re in x.im 0.615 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.615 * [taylor]: Taking taylor expansion of 3 in x.re 0.615 * [taylor]: Taking taylor expansion of x.re in x.re 0.615 * [taylor]: Taking taylor expansion of 0 in x.re 0.616 * [taylor]: Taking taylor expansion of 0 in x.re 0.616 * [taylor]: Taking taylor expansion of 0 in x.re 0.616 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.616 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.616 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.616 * [taylor]: Taking taylor expansion of 3 in x.re 0.616 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.616 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.616 * [taylor]: Taking taylor expansion of x.im in x.re 0.616 * [taylor]: Taking taylor expansion of x.re in x.re 0.616 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.616 * [taylor]: Taking taylor expansion of 3 in x.im 0.616 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.616 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.616 * [taylor]: Taking taylor expansion of x.im in x.im 0.616 * [taylor]: Taking taylor expansion of x.re in x.im 0.616 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.616 * [taylor]: Taking taylor expansion of 3 in x.im 0.616 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.616 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.616 * [taylor]: Taking taylor expansion of x.im in x.im 0.616 * [taylor]: Taking taylor expansion of x.re in x.im 0.616 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.616 * [taylor]: Taking taylor expansion of 3 in x.re 0.616 * [taylor]: Taking taylor expansion of x.re in x.re 0.617 * [taylor]: Taking taylor expansion of 0 in x.re 0.617 * [taylor]: Taking taylor expansion of 0 in x.re 0.617 * [taylor]: Taking taylor expansion of 0 in x.re 0.617 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.617 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.617 * [taylor]: Taking taylor expansion of 3 in x.re 0.617 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.617 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.617 * [taylor]: Taking taylor expansion of x.im in x.re 0.617 * [taylor]: Taking taylor expansion of x.re in x.re 0.617 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.617 * [taylor]: Taking taylor expansion of 3 in x.im 0.617 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.617 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.617 * [taylor]: Taking taylor expansion of x.im in x.im 0.617 * [taylor]: Taking taylor expansion of x.re in x.im 0.618 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.618 * [taylor]: Taking taylor expansion of 3 in x.im 0.618 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) 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 0.618 * [taylor]: Taking taylor expansion of x.re in x.im 0.618 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.618 * [taylor]: Taking taylor expansion of 3 in x.re 0.618 * [taylor]: Taking taylor expansion of x.re in x.re 0.618 * [taylor]: Taking taylor expansion of 0 in x.re 0.618 * [taylor]: Taking taylor expansion of 0 in x.re 0.618 * [taylor]: Taking taylor expansion of 0 in x.re 0.619 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.619 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.619 * [taylor]: Taking taylor expansion of -3 in x.re 0.619 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.619 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.619 * [taylor]: Taking taylor expansion of x.im in x.re 0.619 * [taylor]: Taking taylor expansion of x.re in x.re 0.619 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.619 * [taylor]: Taking taylor expansion of -3 in x.im 0.619 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.619 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.619 * [taylor]: Taking taylor expansion of x.im in x.im 0.619 * [taylor]: Taking taylor expansion of x.re in x.im 0.619 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.619 * [taylor]: Taking taylor expansion of -3 in x.im 0.619 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.619 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.619 * [taylor]: Taking taylor expansion of x.im in x.im 0.619 * [taylor]: Taking taylor expansion of x.re in x.im 0.619 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.619 * [taylor]: Taking taylor expansion of -3 in x.re 0.619 * [taylor]: Taking taylor expansion of x.re in x.re 0.619 * [taylor]: Taking taylor expansion of 0 in x.re 0.620 * [taylor]: Taking taylor expansion of 0 in x.re 0.620 * [taylor]: Taking taylor expansion of 0 in x.re 0.620 * * * [progress]: simplifying candidates 0.621 * [simplify]: Simplifying using # : (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (+ (log 3) (+ (log x.im) (log x.re))) (+ (log 3) (log (* x.im x.re))) (log (* 3 (* x.im x.re))) (exp (* 3 (* x.im x.re))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re))) (* (* (* 3 3) 3) (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re))) (* (cbrt (* 3 (* x.im x.re))) (cbrt (* 3 (* x.im x.re)))) (cbrt (* 3 (* x.im x.re))) (* (* (* 3 (* x.im x.re)) (* 3 (* x.im x.re))) (* 3 (* x.im x.re))) (sqrt (* 3 (* x.im x.re))) (sqrt (* 3 (* x.im x.re))) (* 3 x.im) (* (cbrt 3) (* x.im x.re)) (* (sqrt 3) (* x.im x.re)) (* 3 (* x.im x.re)) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) (+ (+ (log 3) (+ (log x.im) (log x.re))) (log x.im)) (+ (+ (log 3) (log (* x.im x.re))) (log x.im)) (+ (log (* 3 (* x.im x.re))) (log x.im)) (log (* (* 3 (* x.im x.re)) x.im)) (exp (* (* 3 (* x.im x.re)) x.im)) (* (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re))) (* (* x.im x.im) x.im)) (* (* (* (* 3 3) 3) (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re))) (* (* x.im x.im) x.im)) (* (* (* (* 3 (* x.im x.re)) (* 3 (* x.im x.re))) (* 3 (* x.im x.re))) (* (* x.im x.im) x.im)) (* (cbrt (* (* 3 (* x.im x.re)) x.im)) (cbrt (* (* 3 (* x.im x.re)) x.im))) (cbrt (* (* 3 (* x.im x.re)) x.im)) (* (* (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im)) (* (* 3 (* x.im x.re)) x.im)) (sqrt (* (* 3 (* x.im x.re)) x.im)) (sqrt (* (* 3 (* x.im x.re)) x.im)) (* (* 3 (* x.im x.re)) (* (cbrt x.im) (cbrt x.im))) (* (* 3 (* x.im x.re)) (sqrt x.im)) (* (* 3 (* x.im x.re)) 1) (* (* x.im x.re) x.im) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) 0.624 * * [simplify]: iteration 0 : 167 enodes (cost 177 ) 0.628 * * [simplify]: iteration 1 : 817 enodes (cost 145 ) 0.652 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.653 * [simplify]: Simplified to: (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (log (* 3 (* x.im x.re))) (log (* 3 (* x.im x.re))) (log (* 3 (* x.im x.re))) (exp (* 3 (* x.im x.re))) (pow (* 3 (* x.im x.re)) 3) (pow (* 3 (* x.im x.re)) 3) (* (cbrt (* 3 (* x.im x.re))) (cbrt (* 3 (* x.im x.re)))) (cbrt (* 3 (* x.im x.re))) (pow (* 3 (* x.im x.re)) 3) (sqrt (* 3 (* x.im x.re))) (sqrt (* 3 (* x.im x.re))) (* 3 x.im) (* (cbrt 3) (* x.im x.re)) (* (sqrt 3) (* x.im x.re)) (* 3 (* x.im x.re)) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) (log (* (* 3 (* x.im x.re)) x.im)) (log (* (* 3 (* x.im x.re)) x.im)) (log (* (* 3 (* x.im x.re)) x.im)) (log (* (* 3 (* x.im x.re)) x.im)) (exp (* (* 3 (* x.im x.re)) x.im)) (pow (* (* 3 (* x.im x.re)) x.im) 3) (pow (* (* 3 (* x.im x.re)) x.im) 3) (pow (* (* 3 (* x.im x.re)) x.im) 3) (* (cbrt (* (* 3 (* x.im x.re)) x.im)) (cbrt (* (* 3 (* x.im x.re)) x.im))) (cbrt (* (* 3 (* x.im x.re)) x.im)) (pow (* (* 3 (* x.im x.re)) x.im) 3) (sqrt (* (* 3 (* x.im x.re)) x.im)) (sqrt (* (* 3 (* x.im x.re)) x.im)) (* (* 3 (* x.im x.re)) (* (cbrt x.im) (cbrt x.im))) (* (* 3 (* x.im x.re)) (sqrt x.im)) (* 3 (* x.im x.re)) (* (* x.im x.re) x.im) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) 0.653 * * * [progress]: adding candidates to table 0.690 * [progress]: [Phase 3 of 3] Extracting. 0.690 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.691 * * * [regime-changes]: Trying 3 branch expressions: ((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) x.im x.re) 0.691 * * * * [regimes]: Trying to branch on (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) from (# # # # # # #) 0.744 * * * * [regimes]: Trying to branch on x.im from (# # # # # # #) 0.795 * * * * [regimes]: Trying to branch on x.re from (# # # # # # #) 0.847 * * * [regime]: Found split indices: #