2.757 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.038 * * [simplify]: iteration 0 : 21 enodes (cost 9 ) 0.039 * * [simplify]: iteration 1 : 55 enodes (cost 9 ) 0.041 * * [simplify]: iteration 2 : 150 enodes (cost 9 ) 0.044 * * [simplify]: iteration 3 : 401 enodes (cost 6 ) 0.052 * * [simplify]: iteration 4 : 1088 enodes (cost 5 ) 0.072 * * [simplify]: iteration 5 : 2704 enodes (cost 5 ) 0.121 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.121 * [simplify]: Simplified to: (- (pow x.re 3) (* 3 (* x.im (* x.re x.im)))) 0.126 * * [progress]: iteration 1 / 4 0.126 * * * [progress]: picking best candidate 0.137 * * * * [pick]: Picked # 0.137 * * * [progress]: localizing error 0.144 * * * [progress]: generating rewritten candidates 0.144 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.151 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.156 * * * [progress]: generating series expansions 0.156 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.156 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.156 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.156 * [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 0.157 * [taylor]: Taking taylor expansion of x.re in x.im 0.157 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.157 * [taylor]: Taking taylor expansion of 3 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 (* 3 x.re) in x.re 0.157 * [taylor]: Taking taylor expansion of 3 in x.re 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 0.157 * [taylor]: Taking taylor expansion of 0 in x.re 0.157 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.157 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.157 * [taylor]: Taking taylor expansion of 3 in x.re 0.157 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.157 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.158 * [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 (/ 3 (* (pow x.im 2) x.re)) in x.im 0.158 * [taylor]: Taking taylor expansion of 3 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 (/ 3 (* (pow x.im 2) x.re)) in x.im 0.158 * [taylor]: Taking taylor expansion of 3 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 (/ 3 x.re) in x.re 0.158 * [taylor]: Taking taylor expansion of 3 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 0.158 * [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 (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.159 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.159 * [taylor]: Taking taylor expansion of -3 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 0.159 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.159 * [taylor]: Taking taylor expansion of -3 in x.im 0.159 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.159 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.159 * [taylor]: Taking taylor expansion of x.im in x.im 0.159 * [taylor]: Taking taylor expansion of x.re in x.im 0.159 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.159 * [taylor]: Taking taylor expansion of -3 in x.im 0.159 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.159 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.159 * [taylor]: Taking taylor expansion of x.im in x.im 0.159 * [taylor]: Taking taylor expansion of x.re in x.im 0.160 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.160 * [taylor]: Taking taylor expansion of -3 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 0.160 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.160 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.im x.re) around 0 0.160 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.160 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.160 * [taylor]: Taking taylor expansion of x.im in x.re 0.160 * [taylor]: Taking taylor expansion of x.re in x.re 0.161 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.161 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.161 * [taylor]: Taking taylor expansion of x.im in x.im 0.161 * [taylor]: Taking taylor expansion of x.re in x.im 0.161 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.161 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.161 * [taylor]: Taking taylor expansion of x.im in x.im 0.161 * [taylor]: Taking taylor expansion of x.re in x.im 0.161 * [taylor]: Taking taylor expansion of x.re in x.re 0.161 * [taylor]: Taking taylor expansion of 0 in x.re 0.161 * [taylor]: Taking taylor expansion of 0 in x.re 0.161 * [taylor]: Taking taylor expansion of 0 in x.re 0.161 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.161 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.161 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.161 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.161 * [taylor]: Taking taylor expansion of x.im in x.re 0.161 * [taylor]: Taking taylor expansion of x.re in x.re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.161 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.162 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.162 * [taylor]: Taking taylor expansion of x.im in x.im 0.162 * [taylor]: Taking taylor expansion of x.re in x.im 0.162 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.162 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.162 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.162 * [taylor]: Taking taylor expansion of x.im in x.im 0.162 * [taylor]: Taking taylor expansion of x.re in x.im 0.162 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.162 * [taylor]: Taking taylor expansion of x.re in x.re 0.162 * [taylor]: Taking taylor expansion of 0 in x.re 0.162 * [taylor]: Taking taylor expansion of 0 in x.re 0.162 * [taylor]: Taking taylor expansion of 0 in x.re 0.163 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.163 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.163 * [taylor]: Taking taylor expansion of -1 in x.re 0.163 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.163 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.163 * [taylor]: Taking taylor expansion of x.im in x.re 0.163 * [taylor]: Taking taylor expansion of x.re in x.re 0.163 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.163 * [taylor]: Taking taylor expansion of -1 in x.im 0.163 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.163 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.163 * [taylor]: Taking taylor expansion of x.im in x.im 0.163 * [taylor]: Taking taylor expansion of x.re in x.im 0.163 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.163 * [taylor]: Taking taylor expansion of -1 in x.im 0.163 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.163 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.163 * [taylor]: Taking taylor expansion of x.im in x.im 0.163 * [taylor]: Taking taylor expansion of x.re in x.im 0.163 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.163 * [taylor]: Taking taylor expansion of -1 in x.re 0.163 * [taylor]: Taking taylor expansion of x.re in x.re 0.163 * [taylor]: Taking taylor expansion of 0 in x.re 0.164 * [taylor]: Taking taylor expansion of 0 in x.re 0.164 * [taylor]: Taking taylor expansion of 0 in x.re 0.164 * * * [progress]: simplifying candidates 0.165 * [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) 0.168 * * [simplify]: iteration 0 : 151 enodes (cost 179 ) 0.171 * * [simplify]: iteration 1 : 581 enodes (cost 143 ) 0.185 * * [simplify]: iteration 2 : 3219 enodes (cost 143 ) 0.251 * * [simplify]: iteration 3 : 5001 enodes (cost 142 ) 0.252 * [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)) 0.252 * * * [progress]: adding candidates to table 0.314 * * [progress]: iteration 2 / 4 0.314 * * * [progress]: picking best candidate 0.338 * * * * [pick]: Picked # 0.338 * * * [progress]: localizing error 0.345 * * * [progress]: generating rewritten candidates 0.345 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.351 * * * [progress]: generating series expansions 0.352 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.352 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.352 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.352 * [taylor]: Taking taylor expansion of 3 in x.re 0.352 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.352 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.352 * [taylor]: Taking taylor expansion of x.im in x.re 0.352 * [taylor]: Taking taylor expansion of x.re in x.re 0.352 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.352 * [taylor]: Taking taylor expansion of 3 in x.im 0.352 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.352 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.352 * [taylor]: Taking taylor expansion of x.im in x.im 0.352 * [taylor]: Taking taylor expansion of x.re in x.im 0.352 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.352 * [taylor]: Taking taylor expansion of 3 in x.im 0.352 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.352 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.352 * [taylor]: Taking taylor expansion of x.im in x.im 0.352 * [taylor]: Taking taylor expansion of x.re in x.im 0.352 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.352 * [taylor]: Taking taylor expansion of 3 in x.re 0.352 * [taylor]: Taking taylor expansion of x.re in x.re 0.352 * [taylor]: Taking taylor expansion of 0 in x.re 0.352 * [taylor]: Taking taylor expansion of 0 in x.re 0.353 * [taylor]: Taking taylor expansion of 0 in x.re 0.353 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.353 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.353 * [taylor]: Taking taylor expansion of 3 in x.re 0.353 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.353 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.353 * [taylor]: Taking taylor expansion of x.im in x.re 0.353 * [taylor]: Taking taylor expansion of x.re in x.re 0.353 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.353 * [taylor]: Taking taylor expansion of 3 in x.im 0.353 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.353 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.353 * [taylor]: Taking taylor expansion of x.im in x.im 0.353 * [taylor]: Taking taylor expansion of x.re in x.im 0.353 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.353 * [taylor]: Taking taylor expansion of 3 in x.im 0.353 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.353 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.353 * [taylor]: Taking taylor expansion of x.im in x.im 0.353 * [taylor]: Taking taylor expansion of x.re in x.im 0.353 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.353 * [taylor]: Taking taylor expansion of 3 in x.re 0.354 * [taylor]: Taking taylor expansion of x.re in x.re 0.354 * [taylor]: Taking taylor expansion of 0 in x.re 0.354 * [taylor]: Taking taylor expansion of 0 in x.re 0.354 * [taylor]: Taking taylor expansion of 0 in x.re 0.354 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.354 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.354 * [taylor]: Taking taylor expansion of -3 in x.re 0.354 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.354 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.354 * [taylor]: Taking taylor expansion of x.im in x.re 0.355 * [taylor]: Taking taylor expansion of x.re in x.re 0.355 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.355 * [taylor]: Taking taylor expansion of -3 in x.im 0.355 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.355 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.355 * [taylor]: Taking taylor expansion of x.im in x.im 0.355 * [taylor]: Taking taylor expansion of x.re in x.im 0.355 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.355 * [taylor]: Taking taylor expansion of -3 in x.im 0.355 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.355 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.355 * [taylor]: Taking taylor expansion of x.im in x.im 0.355 * [taylor]: Taking taylor expansion of x.re in x.im 0.355 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.355 * [taylor]: Taking taylor expansion of -3 in x.re 0.355 * [taylor]: Taking taylor expansion of x.re in x.re 0.355 * [taylor]: Taking taylor expansion of 0 in x.re 0.355 * [taylor]: Taking taylor expansion of 0 in x.re 0.356 * [taylor]: Taking taylor expansion of 0 in x.re 0.356 * * * [progress]: simplifying candidates 0.356 * [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)) 0.359 * * [simplify]: iteration 0 : 135 enodes (cost 118 ) 0.362 * * [simplify]: iteration 1 : 621 enodes (cost 90 ) 0.379 * * [simplify]: iteration 2 : 3862 enodes (cost 90 ) 0.464 * * [simplify]: iteration 3 : 5001 enodes (cost 90 ) 0.465 * [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)) 0.465 * * * [progress]: adding candidates to table 0.487 * * [progress]: iteration 3 / 4 0.487 * * * [progress]: picking best candidate 0.502 * * * * [pick]: Picked # 0.502 * * * [progress]: localizing error 0.509 * * * [progress]: generating rewritten candidates 0.509 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.514 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.521 * * * [progress]: generating series expansions 0.521 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.521 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.521 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.521 * [taylor]: Taking taylor expansion of 3 in x.re 0.521 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.522 * [taylor]: Taking taylor expansion of x.im in x.re 0.522 * [taylor]: Taking taylor expansion of x.re in x.re 0.522 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.522 * [taylor]: Taking taylor expansion of 3 in x.im 0.522 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.522 * [taylor]: Taking taylor expansion of x.im in x.im 0.522 * [taylor]: Taking taylor expansion of x.re in x.im 0.522 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.522 * [taylor]: Taking taylor expansion of 3 in x.im 0.522 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.522 * [taylor]: Taking taylor expansion of x.im in x.im 0.522 * [taylor]: Taking taylor expansion of x.re in x.im 0.522 * [taylor]: Taking taylor expansion of 0 in x.re 0.522 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.522 * [taylor]: Taking taylor expansion of 3 in x.re 0.522 * [taylor]: Taking taylor expansion of x.re in x.re 0.522 * [taylor]: Taking taylor expansion of 0 in x.re 0.522 * [taylor]: Taking taylor expansion of 0 in x.re 0.522 * [taylor]: Taking taylor expansion of 0 in x.re 0.522 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.522 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.522 * [taylor]: Taking taylor expansion of 3 in x.re 0.522 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.522 * [taylor]: Taking taylor expansion of x.im in x.re 0.522 * [taylor]: Taking taylor expansion of x.re in x.re 0.523 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.523 * [taylor]: Taking taylor expansion of 3 in x.im 0.523 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.523 * [taylor]: Taking taylor expansion of x.im in x.im 0.523 * [taylor]: Taking taylor expansion of x.re in x.im 0.523 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.523 * [taylor]: Taking taylor expansion of 3 in x.im 0.523 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.523 * [taylor]: Taking taylor expansion of x.im in x.im 0.523 * [taylor]: Taking taylor expansion of x.re in x.im 0.523 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.523 * [taylor]: Taking taylor expansion of 3 in x.re 0.523 * [taylor]: Taking taylor expansion of x.re in x.re 0.523 * [taylor]: Taking taylor expansion of 0 in x.re 0.523 * [taylor]: Taking taylor expansion of 0 in x.re 0.523 * [taylor]: Taking taylor expansion of 0 in x.re 0.524 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.524 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.524 * [taylor]: Taking taylor expansion of 3 in x.re 0.524 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.524 * [taylor]: Taking taylor expansion of x.im in x.re 0.524 * [taylor]: Taking taylor expansion of x.re in x.re 0.524 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.524 * [taylor]: Taking taylor expansion of 3 in x.im 0.524 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.524 * [taylor]: Taking taylor expansion of x.im in x.im 0.524 * [taylor]: Taking taylor expansion of x.re in x.im 0.524 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.524 * [taylor]: Taking taylor expansion of 3 in x.im 0.524 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.524 * [taylor]: Taking taylor expansion of x.im in x.im 0.524 * [taylor]: Taking taylor expansion of x.re in x.im 0.524 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.524 * [taylor]: Taking taylor expansion of 3 in x.re 0.524 * [taylor]: Taking taylor expansion of x.re in x.re 0.524 * [taylor]: Taking taylor expansion of 0 in x.re 0.524 * [taylor]: Taking taylor expansion of 0 in x.re 0.525 * [taylor]: Taking taylor expansion of 0 in x.re 0.525 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.525 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.525 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.525 * [taylor]: Taking taylor expansion of 3 in x.re 0.525 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.525 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.525 * [taylor]: Taking taylor expansion of x.im in x.re 0.525 * [taylor]: Taking taylor expansion of x.re in x.re 0.525 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.525 * [taylor]: Taking taylor expansion of 3 in x.im 0.525 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.525 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.525 * [taylor]: Taking taylor expansion of x.im in x.im 0.525 * [taylor]: Taking taylor expansion of x.re in x.im 0.525 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.525 * [taylor]: Taking taylor expansion of 3 in x.im 0.525 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.525 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.525 * [taylor]: Taking taylor expansion of x.im in x.im 0.525 * [taylor]: Taking taylor expansion of x.re in x.im 0.525 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.525 * [taylor]: Taking taylor expansion of 3 in x.re 0.525 * [taylor]: Taking taylor expansion of x.re in x.re 0.525 * [taylor]: Taking taylor expansion of 0 in x.re 0.525 * [taylor]: Taking taylor expansion of 0 in x.re 0.526 * [taylor]: Taking taylor expansion of 0 in x.re 0.526 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.526 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.526 * [taylor]: Taking taylor expansion of 3 in x.re 0.526 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.526 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.526 * [taylor]: Taking taylor expansion of x.im in x.re 0.526 * [taylor]: Taking taylor expansion of x.re in x.re 0.526 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.526 * [taylor]: Taking taylor expansion of 3 in x.im 0.526 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.526 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.526 * [taylor]: Taking taylor expansion of x.im in x.im 0.526 * [taylor]: Taking taylor expansion of x.re in x.im 0.526 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.526 * [taylor]: Taking taylor expansion of 3 in x.im 0.526 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.526 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.526 * [taylor]: Taking taylor expansion of x.im in x.im 0.526 * [taylor]: Taking taylor expansion of x.re in x.im 0.526 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.526 * [taylor]: Taking taylor expansion of 3 in x.re 0.526 * [taylor]: Taking taylor expansion of x.re in x.re 0.527 * [taylor]: Taking taylor expansion of 0 in x.re 0.527 * [taylor]: Taking taylor expansion of 0 in x.re 0.527 * [taylor]: Taking taylor expansion of 0 in x.re 0.527 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.527 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.527 * [taylor]: Taking taylor expansion of -3 in x.re 0.527 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.527 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.527 * [taylor]: Taking taylor expansion of x.im in x.re 0.527 * [taylor]: Taking taylor expansion of x.re in x.re 0.528 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.528 * [taylor]: Taking taylor expansion of -3 in x.im 0.528 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.528 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.528 * [taylor]: Taking taylor expansion of x.im in x.im 0.528 * [taylor]: Taking taylor expansion of x.re in x.im 0.528 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.528 * [taylor]: Taking taylor expansion of -3 in x.im 0.528 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.528 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.528 * [taylor]: Taking taylor expansion of x.im in x.im 0.528 * [taylor]: Taking taylor expansion of x.re in x.im 0.528 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.528 * [taylor]: Taking taylor expansion of -3 in x.re 0.528 * [taylor]: Taking taylor expansion of x.re in x.re 0.528 * [taylor]: Taking taylor expansion of 0 in x.re 0.528 * [taylor]: Taking taylor expansion of 0 in x.re 0.529 * [taylor]: Taking taylor expansion of 0 in x.re 0.529 * * * [progress]: simplifying candidates 0.529 * [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)) 0.532 * * [simplify]: iteration 0 : 172 enodes (cost 179 ) 0.537 * * [simplify]: iteration 1 : 998 enodes (cost 145 ) 0.563 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.565 * [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) 0.565 * * * [progress]: adding candidates to table 0.625 * * [progress]: iteration 4 / 4 0.625 * * * [progress]: picking best candidate 0.640 * * * * [pick]: Picked # 0.640 * * * [progress]: localizing error 0.647 * * * [progress]: generating rewritten candidates 0.647 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.652 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.662 * * * [progress]: generating series expansions 0.662 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.662 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.662 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.662 * [taylor]: Taking taylor expansion of 3 in x.re 0.662 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.662 * [taylor]: Taking taylor expansion of x.im in x.re 0.662 * [taylor]: Taking taylor expansion of x.re in x.re 0.662 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.662 * [taylor]: Taking taylor expansion of 3 in x.im 0.662 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.662 * [taylor]: Taking taylor expansion of x.im in x.im 0.662 * [taylor]: Taking taylor expansion of x.re in x.im 0.663 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.663 * [taylor]: Taking taylor expansion of 3 in x.im 0.663 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.663 * [taylor]: Taking taylor expansion of x.im in x.im 0.663 * [taylor]: Taking taylor expansion of x.re in x.im 0.663 * [taylor]: Taking taylor expansion of 0 in x.re 0.663 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.663 * [taylor]: Taking taylor expansion of 3 in x.re 0.663 * [taylor]: Taking taylor expansion of x.re in x.re 0.663 * [taylor]: Taking taylor expansion of 0 in x.re 0.663 * [taylor]: Taking taylor expansion of 0 in x.re 0.663 * [taylor]: Taking taylor expansion of 0 in x.re 0.663 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.663 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.663 * [taylor]: Taking taylor expansion of 3 in x.re 0.663 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.663 * [taylor]: Taking taylor expansion of x.im in x.re 0.663 * [taylor]: Taking taylor expansion of x.re in x.re 0.663 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.664 * [taylor]: Taking taylor expansion of 3 in x.im 0.664 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.664 * [taylor]: Taking taylor expansion of x.im in x.im 0.664 * [taylor]: Taking taylor expansion of x.re in x.im 0.664 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.664 * [taylor]: Taking taylor expansion of 3 in x.im 0.664 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.664 * [taylor]: Taking taylor expansion of x.im in x.im 0.664 * [taylor]: Taking taylor expansion of x.re in x.im 0.664 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.664 * [taylor]: Taking taylor expansion of 3 in x.re 0.664 * [taylor]: Taking taylor expansion of x.re in x.re 0.664 * [taylor]: Taking taylor expansion of 0 in x.re 0.664 * [taylor]: Taking taylor expansion of 0 in x.re 0.664 * [taylor]: Taking taylor expansion of 0 in x.re 0.664 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.665 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.665 * [taylor]: Taking taylor expansion of 3 in x.re 0.665 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.665 * [taylor]: Taking taylor expansion of x.im in x.re 0.665 * [taylor]: Taking taylor expansion of x.re in x.re 0.665 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.665 * [taylor]: Taking taylor expansion of 3 in x.im 0.665 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.665 * [taylor]: Taking taylor expansion of x.im in x.im 0.665 * [taylor]: Taking taylor expansion of x.re in x.im 0.665 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.665 * [taylor]: Taking taylor expansion of 3 in x.im 0.665 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.665 * [taylor]: Taking taylor expansion of x.im in x.im 0.665 * [taylor]: Taking taylor expansion of x.re in x.im 0.665 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.665 * [taylor]: Taking taylor expansion of 3 in x.re 0.665 * [taylor]: Taking taylor expansion of x.re in x.re 0.665 * [taylor]: Taking taylor expansion of 0 in x.re 0.665 * [taylor]: Taking taylor expansion of 0 in x.re 0.665 * [taylor]: Taking taylor expansion of 0 in x.re 0.666 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.666 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.666 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.666 * [taylor]: Taking taylor expansion of 3 in x.re 0.666 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.666 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.666 * [taylor]: Taking taylor expansion of x.im in x.re 0.666 * [taylor]: Taking taylor expansion of x.re in x.re 0.666 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.666 * [taylor]: Taking taylor expansion of 3 in x.im 0.666 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.666 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.666 * [taylor]: Taking taylor expansion of x.im in x.im 0.666 * [taylor]: Taking taylor expansion of x.re in x.im 0.666 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.666 * [taylor]: Taking taylor expansion of 3 in x.im 0.666 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.666 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.666 * [taylor]: Taking taylor expansion of x.im in x.im 0.666 * [taylor]: Taking taylor expansion of x.re in x.im 0.666 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.666 * [taylor]: Taking taylor expansion of 3 in x.re 0.666 * [taylor]: Taking taylor expansion of x.re in x.re 0.666 * [taylor]: Taking taylor expansion of 0 in x.re 0.666 * [taylor]: Taking taylor expansion of 0 in x.re 0.667 * [taylor]: Taking taylor expansion of 0 in x.re 0.667 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.667 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.667 * [taylor]: Taking taylor expansion of 3 in x.re 0.667 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.667 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.667 * [taylor]: Taking taylor expansion of x.im in x.re 0.667 * [taylor]: Taking taylor expansion of x.re in x.re 0.667 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.667 * [taylor]: Taking taylor expansion of 3 in x.im 0.667 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.667 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.667 * [taylor]: Taking taylor expansion of x.im in x.im 0.667 * [taylor]: Taking taylor expansion of x.re in x.im 0.667 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.667 * [taylor]: Taking taylor expansion of 3 in x.im 0.667 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.667 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.667 * [taylor]: Taking taylor expansion of x.im in x.im 0.667 * [taylor]: Taking taylor expansion of x.re in x.im 0.667 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.667 * [taylor]: Taking taylor expansion of 3 in x.re 0.667 * [taylor]: Taking taylor expansion of x.re in x.re 0.668 * [taylor]: Taking taylor expansion of 0 in x.re 0.668 * [taylor]: Taking taylor expansion of 0 in x.re 0.668 * [taylor]: Taking taylor expansion of 0 in x.re 0.668 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.668 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.668 * [taylor]: Taking taylor expansion of -3 in x.re 0.668 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.668 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.668 * [taylor]: Taking taylor expansion of x.im in x.re 0.668 * [taylor]: Taking taylor expansion of x.re in x.re 0.669 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.669 * [taylor]: Taking taylor expansion of -3 in x.im 0.669 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.669 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.669 * [taylor]: Taking taylor expansion of x.im in x.im 0.669 * [taylor]: Taking taylor expansion of x.re in x.im 0.669 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.669 * [taylor]: Taking taylor expansion of -3 in x.im 0.669 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.669 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.669 * [taylor]: Taking taylor expansion of x.im in x.im 0.669 * [taylor]: Taking taylor expansion of x.re in x.im 0.669 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.669 * [taylor]: Taking taylor expansion of -3 in x.re 0.669 * [taylor]: Taking taylor expansion of x.re in x.re 0.669 * [taylor]: Taking taylor expansion of 0 in x.re 0.669 * [taylor]: Taking taylor expansion of 0 in x.re 0.669 * [taylor]: Taking taylor expansion of 0 in x.re 0.670 * * * [progress]: simplifying candidates 0.670 * [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)) 0.673 * * [simplify]: iteration 0 : 167 enodes (cost 177 ) 0.678 * * [simplify]: iteration 1 : 817 enodes (cost 145 ) 0.701 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.703 * [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) 0.703 * * * [progress]: adding candidates to table 0.756 * [progress]: [Phase 3 of 3] Extracting. 0.756 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.757 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 0.757 * * * * [regimes]: Trying to branch on x.im from (# # # # # # #) 0.826 * * * * [regimes]: Trying to branch on x.re from (# # # # # # #) 0.882 * * * [regime]: Found split indices: #